ABSTRACT In 1961-1964 4204 photoelectric observations in yellow colour were obtained utilizing the 24-inch reflector of the Astronomical Institute of the Slovak Academy of Sciences at Skalnaté Pleso. The analysis of the observations shows rapid variations in the primary period and the existence of a secondary period. P_B = 28.8 days, in the course of which the amplitude of the light curve varies between 0.459m and 0.531m. INTRODUCTION The variable star RU Psc of type RRc shows very rapid and complicated changes of period. Its variability was discovered by Leavitt (1923). Later this star was studied by several authors including Zessevitch (1924), Detre (1934), Gaposhkin (1952), Dezső (1945), and Pelishenko (1949). Zessevitch (1924) derived the approximate value of the period as P = 0.3898d on the basis of 220 visual observations. This value was later improved by Detre (1934) who found from 472 visual photometric observations P = 0.390398d. Detre was the first to publish a light curve which is unusual in form. The amplitude of the light changes was 0.47m. Gaposhkin (1952) found that the period varied therefore he calculated the mean value of the period for different time-intervals. The extreme values of the period he found were 0.3902139d and 0.3904577d. The variable was independently studied in detail by Dezső (1945) who analyzed 759 photographic observations, obtained at the 16 cm astrograph of the Konkoly Observatory. His analysis of the observations showed that the period varied and these variations could be expressed by a periodic term, the period of the changes of the primary period being 1080 days. The conclusions reached by Dezső were made more accurate by Pelishenko (1949) who expressed the changes of the primary period by a combination of secular and periodic terms. The present author's analysis showed that the accuracy and number of observations of the preceding authors were insufficient for a detailed study of the star. Although the changes in the primary period are not discussed in detail in this paper, the preliminary results show, that Dezső's and Pelishenko's conclusions are not valid. The mean radial velocity of RU Psc is V_r = -115 km/sec, its distance r = 950 ps. The space velocity components are V_x = -405 km/sec, V_y = =-229 km/sec, V_z= -15 km/sec. The star has a retrograde motion in the Galaxy (Losinsky, 1952). The data on the space motion of the star are collected in Eggen's catalogue (1964) of high-velocity stars. A spectroscopic study of the star was made by Preston (1959), who found for the difference between the spectral types derived from the hydrogen lines and from the K line of Ca II at minimum light the value Delta S = 7. OBSERVATIONAL MATERIAL AND REDUCTION Simultaneous photoelectric observations were programmed in order to study the recognizable irregularities of this variable star. The reason why the analysis of the light changes was made only upon the basis of our own observational material, will be given below. Observations were obtained at the 24-inch, f/5.5 reflector of the Astronomical Institute at Skalnaté Pleso in three observational seasons, from August 1, 1961 to September 9, 1961, from October 10, 1962 to January 29, 1963 and from August 4, 1963 to January 23, 1964. The photoelectric photometer was placed in the Newtonian focus which, due to the mounting of the telescope, was not easily accessible, therefore, a guiding telescope was used for pointing the stars. Consequently it was difficult to observe in several colours and to use sufficiently small focal diaphragms. The photoelectric photometer consisted of an optical part with a set of filters and focal diaphragms. The quartz Fabry lens imaged the entrance pupil of the telescope as a disc of 4.3 mm diameter on the photocathode of the photomultiplier. The light receiver was a 1 P 21 photomultiplier at first supplied from dry batteries, later a high-voltage stabilizer of the type NBZ 411 was used. The electronic part consisted of a DC amplifier and a microammeter which served to read the signal. Since 1963 an electronic recorder EZ 4 has been in use. The filter employed for all observations was a 2 mm Schott GG-11 yellow filter. During the observations we used focal diaphragms of 24, 42 and 75 seconds of arc. A detailed description of the photoelectric photometer will be given in another paper. During the whole observational period the star BD + 23deg 163 (9.1m) served as comparison star. Corrections for differential extinction were not made since the comparison star and the variable are only 23.2 minutes of arc from one another. Even in zenith distances of z = 60deg the differential extinction did not exceed 0.004m. During observations with an amplifier and microammeter we used the following observational scheme: variable, sky, variable, comparison star, sky, comparison star, variable, sky, variable etc. Each observation consisted of three consecutive readings of the deflection of the microammeter in intervals of 10 seconds. During observation with a recorder we used a more economical scheme whereby only 1/5 of the observation time was devoted to the observation of the comparison star. The observations were reduced in the following way: first the arithmetic means were calculated from three consecutive readings of the microammeter for the variable star, the comparison star and the sky respectively; then the arithmetic means of the values of the deflections of the variable and comparison star were reduced for the sky. Finally we computed the ratios of the reduced arithmetic means of the intensities of the variable and comparison star. These ratios were converted to differences in magnitudes by means of the known relation using appropriate tables. The observations from the recorder were reduced in a similar way. INTERPRETATION OF OBSERVATIONAL MATERIAL During the three observational periods in 1961-1964 altogether 5616 photoelectric observations were obtained. Since small light oscillations had to be investigated, observations obtained under less suitable observational conditions were omitted. Table I contains a survey of the observational intervals, the mean error of one observation and the observational conditions. Several members of the Astronomical Institute at Skalnaté Pleso participating in the observational programme obtained the following number of observations: M. Antal 5, D. Hlinická 73, J. Málková 7, I. Petras 265, J. Petras 538, L. Petrik 1937, M. Rybansky 18, D. Sajták 78, M. Weidlich 136, P. Zimmermann 134, J. Tremko 1013. For reasons mentioned above 1412 observations were eliminated from the treatment. The observational intervals in which the observations were omitted because of insufficient accuracy were as follows: 2437565.6308 - .6438, 2437948.2985 - .3068, 2437948.4026 - .4151, 2437998.4159 - .4624, 2438019.4580 - .4718, 2438027.4435 - .4581, 2438053.3680 - .3716, 2438058.3422 - .3662, 2438246.4497 - .5066, 2438256.4068 - .4864, 2438258.4029 - .4336, 2438268.5662 - .5825, 2438291.4982 - .5806, 2438291.6050 - .6291, 2438293.3837 - .4215, 2438296.4985 - .5641, 2438297.3066 - .5414, 2438316.3499 - .4299, 2438318.3364 - .3820, 2438327.3572 - .5193, 2438365.4968 - .5108, 2438382.4084 - .4869, 2438400.4210 - .4344, 2438402.4210 - .4310. All the observations included in the analysis are given in Tab. V. The moments of observations in the first column of Tab. V are heliocentric. The observations in each night were plotted separately. By comparing the observations from different nights it was found that the light curve changes from epoch to epoch. It was first necessary to determine whether or not the changes are periodic. For this purpose the moments when the star passed the magnitude Delta m = +0.400m and Delta m = +0.580m on the ascending branch were determined for each day of observation. The moments were chosen so that they occurred on both sides of the hump on the ascending branch of the light curve. The observed epochs for Delta m = +0.580m and for Delta m = +0.400m are listed in Tab. II. In that table the first column contains the year of observation, the second the numbering of epochs, the third and fifth the observed heliocentric epochs for Delta m = +0.580m and Delta m = +0.400m, respectively, the fourth and sixth the corresponding O-C differences. The counting of the epochs and the calculation of the O-C differences were performed on the basis of the following elements: C = 2424057.8450 + 0.3903174d * E (1) The calculation of the length of the period was accomplished from the photoelectric observations in Budapest and Skalnaté Pleso. The last two columns of Tab. II give the brightness of the maxima and minima. The values of the O-C differences exhibit large changes in the primary period which from the beginning of the observational interval from J. D. 2437513 shortened until it reached a minimum value around J. D. 2438120. Lengthening of the period is observed later and the O-C curve had a maximum around J. D. 2438370. At the end of the observational interval in 1963-64 shortening of the primary period is again observed. The changes in primary period are irregular, as can be seen in Fig. 1 which is a plot of the values from Tab. II. The full circles in Fig. 1 are observed epochs for Delta m = +0.580m on the ascending branch and the empty circles are slightly extrapolated values for the same Delta m. The crosses denote the observed epochs for Delta m = +0.400m on the ascending branch. The epochs derived by means of the descending branch were omitted from the analysis. The changes in primary period are clearly visible even before 1961, as is seen from a preliminary analysis of the photoelectric observations at Budapest denoted by squares in the figure.
Fig. 1.: O-C diagrams for two points on the ascending branch. Below
for Delta m = +0.580m ; open circles represent values obtained by a
slight extrapolation. Above (crosses) for Delta m = +0.400m. Squares
represent B. Balázs' photoelectric observations at Budapest
On the curve of the differences O-C for the primary period small oscillations
are superposed which are especially pronounced for the moment
Delta m = +0.400m of the ascending branch. For these moments the O-C values
have a minimum at J. D. 2438294.0, J. D. 2438323.0 and J. D. 2438378.0.
For the moments Delta m = +0.580m of the ascending branch three further minima
of the O-C values were observed: J. D. 2437603, 2438006 and 2438034:.
A secondary period P_B = 28.8 days could be derived from these minima, but
of course with a rather great uncertainty, because the secondary period had
not necessarily a constant value. If the brightnesses of the maxima and
minima given in the last two columns of Tab. II are arranged according to
the phase of the secondary period using the formula:
C = J. D. 2438378.0 + 28.8d * E. (2)
it was seen that the brightness of the maximum and minimum varied quite
distincly with a small amplitude. The amplitude of the variation in the brightness
of the maxima was 0.034m and the variation of the brightness of the minima
0.040m. If the maxima were brighter, the minima were fainter and vice versa.
This is characteristic for the Blashko effect, in the same way as the oscillations
of the moments on the ascending branch. The dispersion in all the diagrams
exceeds the value expected from the accuracy of the observations, indicating
the existence of irregular changes in the shape of the light curve. The time
oscillations of two points on the ascending branch and the brightness changes
in maximum and minimum of the light curve are shown in Fig. 2 for different
phases of the secondary period.
Since the shape of the light curve changed with the phase of the secondary
period, a mean light curve from all observations and light curves for selected
phases of the secondary period were constructed. For this purpose, the brightnesses
from the individual light curves were determined for 23 values of the
phase f of the primary period. These data were tabulated in Tab. III. The values
of the phase f are in fractions of a day and the phase of the secondary period, psi,
in days. Then the brightnesses for different phases of the primary period, f,
were plotted in graphs as functions of the phase of the secondary period, psi,
The brightnesses were read from these graphs for three values of psi - for
psi = 0d, psi = 8d and psi= 19d respectively - and are given in Tab. IV together
with the data for the mean light curve. The mean light curve and the light
curves for the above mentioned three phases of the secondary period are
plotted in Fig. 3. Unfortunately, there are few observations for the interval
psi = 8d to psi = 22d. The light curves for psi = 8d and psi = 19d approximately
represent the extreme light curves. For psi = 8d the maximum is bright, the
minimum faint and the whole light curve is shifted to the left compared with
the mean light curve. The hump on the ascending branch is the longest for
this phase. On the other hand, for the phase psi = 19d, the maximum is lowest,
the minimum highest and the whole light curve is shifted to the right with
respect to the mean light curve. The hump on the ascending branch is barely
visible.
From the mean light curve we obtain for the brightness of the maximum
Delta m = +0.323m and for the brightness of the minimum Delta m = +0.810m,
hence the mean amplitude of the light curve is 0.487m. The amplitude of the
light curve fluctuates in the course of the secondary period from 0.459m to
Fig. 2.: Above: time-oscillation of the ascending branch for
Delta m = +0.580m (a) and Delta m = +0.400m (b). Below: the variation of
the brightness of the maximum (c) and minimum (d) in course of the
secondary period, P_B = 28.8 days
Fig. 3.: The light curve of RU Psc for three different phases of the
secondary period. The dashed line is the mean light curve, constructed
from all the observations
0.531m. The time interval between light minimum and light maximum is
0.168d, or 0.430P.
The Konkoly Observatory in Budapest has photoelectric observations
from 1952 and 1957-1960 and also unpublished photographic material from
1944-1952. This material, together with other observations available, will be
discussed in a coming paper in connection with a study of changes in the primary
period.
Table I.
OBSERVING INTERVALS AND M. E. OF ONE OBSERVATION
Date J. D. n m. e. Notes
1961 Aug. 1/2 7513.4356-.4926 14 +-.011m
Sept. 22/23 7565.4348-.6271 65 .012
Oct. 9/10 7582.5923-.6368 16 .006
" 10/11 7583.5825-.6304 17 .008
" 11/12 7584.5700-.6501 24 .012
" 13/14 7586.5376-.5515 5 .004
" 16/17 7589.3104-.5465 69 .019
Nov. 2/3 7606.3150-.4011 42 .008
" 8/9 7612.3501-.5515 62 .007
1962 Oct. 10/11 7948.3089-.4151 48 .008
" 11/12 7949.3061-.4818 57 .008
Nov. 28/29 7997.2416-.3722 53 .021
" 29/30 7998.2944-.4097 45 .014
Dec. 20/21 8019.3302-.4448 60 .016
21/22 8020.2183-.4238 74 .016
28/29 8027.2386-.4414 101 .013
1963 Jan. 23/24 8053.2574-.3630 33 .016
" 28/29 8058.2701-.3313 17 .014
Aug. 4/5 8246.5073-.5812 57 .015
" 14/15 8256.5091-.5837 63 .015
" 16/17 8258.4346-.5937 115 .012
" 26/27 8268.4053-.5588 117 .017
Sept. 18/19 8291.3645-.6044 161 .016 1
" 20/21 8293.3642-.5593 132 .018 1
" 21/22 8294.4185-.5995 185 .013 1,2
" 23/24 8296.3952-.6438 185 .013 4
" 24/25 8297.5431-.5809 36 .014 1,2
" 26/27 8299.3592-.3738 15 .021 4
Oct. 12/13 8315.3325-.5498 123 .019 5
" 13/14 8316.3139-.3533 29 .021 2
" 15/16 8318.4455-.5746 83 .017
" 16/17 8319.3208-.5556 197 .014 1
" 19/20 8322.3952-.5763 206 .015
" 20/21 8323.3056-.5079 169 .007 6
" 22/23 8325.2942-.3091 16 .019 1
" 24/25 8327.2823-.6369 215 .015 5
" 26/27 8329.2910-.3711 76 .013 2,3
" 27/28 8330.4858-.5427 38 .014 3
" 28/29 8331.3804-.6288 147 .015
Nov. 9/10 8343.5048-.5562 38 .016 1
Dec. 1/2 8365.2374-.5239 177 .016
" 11/12 8375.2108-.4830 222 .013 1
" 18/19 8382.3078-.4073 76 .016 1
" 29/30 8393.3356-.4305 75 .012 1
" 31/1 8395.2094-.2339 24 .012
1964 Jan. 4/5 8399.2069-.3821 89 .020
" 5/6 8400.2905-.4151 88 .014
" 7/8 8402.3063-.4198 83 .016 1
" 11/12 8406.2503-.2589 14 .007 2
" 12/13 8407.2238--3127 74 .022
" 20/21 8415.3287-.3861 60 .012
" 23/24 8418.3720-.3856 17 .014 5
Notes. 1. Interfering cirrus. 2. Wind. 3. Interfering fog. 4. Interfering clouds
5. Bad transparency. 6. Sky very good.
Table II
O-C VALUES AND BRIGHTNESS AT MAXIMUM AND MINIMUM LIGHT
Year E tDelta m=+0.58 O-C tDelta m=+0.40 O-C Delta m_max Delta m_min
243.... 243....
1961 34 473 7513.4333 +0.1766d 7513.4859 +0.2292d
34 606 7565.- +0.325
34 650 7582.- +0.318
34 653 7583.- +0.807
34 655 7584.- +0.326
34 668 7589.5426 +0.1740 +0.794
34 711 7606.3195 +0.1672 7606.3720 +0.2197
34 427 7612.5649 +0.1676 +0.815
1962 35 590 7949.3626: +0.1213: 7949.4253 +0.1840 +0.315
35 713 7997.3590: +0.1087: +0.789
35 772 8020.3947 +0.1157 +0.800
35 790 8027.4106 +0.1159 +0.756
1963 35 856 8053.- +0.330
35 869 8058.3047 +0.1649
36 351 8246.- +0.305
36 377 8256.5927 +0.1716 +0.816
36 382 8258.5437 +0.1711 +0.832
36 407 8268.- +0.305
36 466 8291.3551 +0.1958 8291.4123 +0.2530 +0.326
36 471 8293.3648: +0.2539: +0.315:
36 474 8294.4720 +0.1902 8294.5283 +0.2465 +0.341
36 479 8296.4214 +0.1880 8296.4849: +0.2515:
36 482 8297.5909: +0.1865:
36 528 8315.5531: +0.1941: +0.775
36 530 8316.3411 +0.2015
36 538 8319.4637 +0.2015 8319.5197 +0.2575 +0.345 +0.817
36 546 8322.5862: +0.2015: +0.819
36 548 8323.3692 +0.2039 8323.4188 +0.2535 +0.345
36 553 8325.3127: +0.1958:
36 558 8327.3333 +0.2648 +0.835
36 563 +0.320
36 569 8331.5716: +0.2096: 8331.6291 +0.2671 +0.835
36 656 8365.5310 +0.2114 +0.807
36 681 8375.2894 +0.2119 8375.3351 +0.2576 +0.337 +0.825
36 699 8382.3180 +0.2147 8382.3754 +0.2721
36 727 8393.- +0.330
36 732 8395.2042: +0.2205:
1964 36 742 8399.- +0.342
36 745 8400.3265 +0.2686 +0.320
36 750 8402.- +0.327
36 763 8407.2869 +0.2033
Table III
BRIGHTNESS OF THE VARIABLE IN DIFFERENT PHASES
J. D./f 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 Psi
2437513 .498 .470 .460 .442 .414 .378 28.2
7565 .334 .325 22.5
7582 .339 .320 .318 10.9
7583 11.7
7584 .327 12.9
7586 14.8
7589 .558 17.9
7606 .529 .458 .434 .438 .413 .394 .372 .342 5.9
7612 12.2
7948 2.2
7949 .439 .412 .383 .361 .328 .317 .318 3.4
7997 22.6
7998 23.4
8019 15.6
8020 .597 .523 .465 .435 16.8
8027 .536 .470 .415 23.8
8053 .336 .331 20.8
8058 .453 .450 .429 .387 .333 .299 25.9
8246 .353 .329 .308 .318 12.4
8256 22.6
8258 .538 .484 .456 .439 .424 24.5
8268 .332 5.5
8291 .483 .457 .450 .444 .413 .384 .360 .336 .327 .336 28.6
8293 .330: .315: 1.7
8294 .514 .459 .447 .454 .432 .384 .364 .358 .350 .341 .344 2.9
8296 .492 .467 .444 .432 .417: 4.8
8297 .328 .306 6.0
8299 7.6
8315 24.0
8316 .547 .509 24.7
8318 26.7
8319 .502 .470 .463 .460 .436 .358 .324: .311: .303: 27.9
8322 2.2
8323 .506 .458 .434 .418 .396 .379 .365 .356 .349 .347 .346 3.0
8325 4.9
8327 .484 .454 .455 .444 .420 .395 .361 .348 6.9
8329 .355 .335 .322 .319 .318 8.8
8330 .377 10.0
8331 .493 .452 .449 .438 .417 .396 11.2
8343 22.9
8365 .343 .357 16.3
8373 .502 .454 .435: .413: .400 .372 .388 .399 .390: .378 .357 26.1
8382 .552 .505: .479: .434 .434 .409 .381 .342 .316 4.3
8393 .345 .343 15.2
8395 .516 .484 .459 17.2
8399 21.1
8400 .456 .448 .427 .419 .393 .374 .359 .348 .337 22.3
8402 .362 .354 24.2
8407 .500: .453 0.5
8415 8.3
8418 11.4
Table III. (Continued)
BRIGHTNESS OF THE VARIABLE IN DIFFERENT PHASES
J. D./f 0.12 0.14 0.16 0.20 0.25 0.30 0.33 0.35 0.36 0.37 0.38 0.39 Psi
2437513 28.2
7565 .359 .400 .456 .584 .731 22.5
7582 .342 10.9
7583 .803 11.7
7584 .348 .402 .465 12.9
7586 .346 14.8
7589 .444 .581 .723 .786 .800 .782 .749 .704 .642 .562 17.9
7606 .595 .530 5.9
7612 .586 .814 .806 .760 .719 .678 12.2
7948 .361 .394 .441 .603 2.2
7949 .816 .749 .703 3.4
7997 .775 .776 .739 .714 .674 .579 22.6
7998 .338 .389 .489 .619 23.4
8019 .354 .404 .457 .553 15.6
8020 .684 .775 .797 .787 .772 .738 .679 .600 16.8
8027 .702 .759 .738 .705 .680 .644 .600 .538 23.8
8053 .331 .355 .396 20.8
8058 25.9
8246 .376 .437 12.4
8256 .822 .779 .731 .682 22.6
8258 .820 .836 .795 .754 .690 .611 .540 24.5
8268 .314 .409 .473 .576 .754 5.5
8291 .358 .385 28.6
8293 .353 .378 .602 .804 1.7
8294 .783 .756 .711 .648 .582 .517 2.9
8296 .402 .468 .604 .691 .628 .559 .495 4.8
8297 6.0
8299 .597 7.6
8315 .427 .701: .775 .734: .677: .638: .597: 24.0
8316 .724 .649 .587 .549 24.7
8318 .456 .590 .747 26.7
8319 .733 .823 .811 .623 .577 .503 27.9
8322 .606 .743 .807 .797 .739 .699 2.2
8323 .357 .791 .734 .695 .640 .574 .508 3.0
8325 .647 .584 4.9
8327 .779 .844 .819 .772 .487 6.9
8329 .329 8.8
8330 10.0
8331 .614 .770 .835 .824 .495 11.2
8343 .760 22.9
8365 .414 .460 .500 .802 .805 .748 .704 .649 16.3
8375 .339 .376 .419 .818 .754 .710 .658 .583 .504 26.1
8382 .607 .554 4.3
8393 .334 .376 .437 15.2
8395 17.2
8399 .346: .364 .438 .523 .716 21.1
8400 .320 .331 22.3
8402 .330 .346 .386 24.2
8407 .812 .784 .748 .691 .608 .552 0.5
8415 .703 8.3
8418 .414 11.4
Table IV.
MEAN LIGHT CURVE (Delta m) AND LIGHT CURVES
FOR DIFFERENT PHASES OF SECONDARY PERIOD
Delta m
Phase Delta m Psi =0d Psi =8d Psi =19d
+ + + +
0.00d 0.533 0.508 0.503 0.574
0.01 0.487 0.469 0.458 0.518
0.02 0.456 0.455 0.442 0.474
0.03 0.440 0.440 0.440 0.440
0.04 0.426 0.426 0.426 0.426
0.05 0.395 0.395 0.395 0.395
0.06 0.376 0.353 0.378 0.399
0.07 0.357 0.366 0.339 0.373
0.08 0.338 0.320 0.333 0.358
0.09 0.322 0.336 0.309 0.336
0.10 0.327 0.340 0.310 0.344
0.12 0.339 0.339 0.339 0.339
0.14 0.381 0.384 0.401 0.387
0.16 0.437 0.426 0.460 0.433
0.20 0.568 0.572 0.598 0.559
0.25 0.731 0.743 0.743 0.703
0.30 0.805 0.804 0.839 0.775
0.33 0.798 0.792 0.816 0.792
0.35 0.754 0.754 0.754 0.754
0.36 0.718 0.708 0.702 0.742
0.37 0.667 0.652 0.647 0.699
0.38 0.621 0.586 0.608 0.647
0.39 0.641 0.524 0.502 0.576
Table V.
LIST OF OBSERVATIONS
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
7513.4356 527 .5570 618 .5929 790
.4398 495 .5591 625 .5992 780
.4460 492 .5632 649 .6026 783
.4509 471 .5646 654 .6040 812
.4553 459 .5688 638 .6082 822
.4616 459 .5702 654 .6096 818
.4692 444 .5743 664 .6130 812
.4724 453 .5757 671 .6144 817
.4759 422 .5806 690 .6207 808
.4789 424 .5820 707 .6221 798
.4835 424 .5868 702 .6246 808
.4863 406 .5882 719 .6250 808
.4891 371 .5931 709 .6304 813
.4926 383 .5945 739
.5987 712 7584.5700 335
7565.4348 334 .6000 734 .5714 306
.4362 336 .6042 732 .5755 330
.4396 326 .6056 753 .5769 341
.4438 329 .6098 751 .5811 313
.4480 311 .6112 778 .5860 348
.4493 332 .6146 757 .5908 324
.4528 328 .6160 794 .5922 342
.4542 338 .6195 767 .5992 386
.4584 354 .6216 788 .6005 387
.4597 359 .6250 782 .6047 373
.4646 356 .6271 801 .6061 401
.4660 361 .6106 366
.4702 378 .6123 394
.4716 371 7582.5923 358 .6248 440
.4757 359 .5937 352 .6262 451
.5972 351
.4778 397 .6304 455
.4827 371 .5986 340 .6321 462
.6027 331
.4945 422 .6360 493
.4959 413 .6055 322 .6380 473
.5007 439 .6097 323 .6425 501
.6118 313
.5021 454 .6453 517
.5063 448 .6152 320 .6485 528
.5077 461 .6173 320 .6501 538
.5118 466 .6222 314
.6236 332 7586.5376 335
.5132 495 .5425 341
.5167 481 .6277 307
.5181 487 .6298 322 .5439 352
.6347 327 .5488 354
.5223 493 .5515 372
.5237 515 .6368 337
.5278 499 .6409 354 7589.3104 433
.5299 517 .6430 356 .3118 426
.5341 533 .6465 343 .3152 446
.5354 566 .6486 355 .3166 451
.5396 545 .6548 376 .3201 473
.5417 541 .3215 486
.5459 595 7583.5825 770 .3270 486
.5473 604 .5839 791 .3361 490
.5514 597 .5880 796 .3402 537
.5528 616 .5894 803 .3416 513
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3465 532 .5361 610 .3731 552
.3506 580 .5423 516 .3744 555
.3520 600 .5465 610 .3758 563
.3562 597 7606.3150 644 .3786 569
.3576 600 .3800 584
.3611 619 .3164 609 .3828 585
.3199 569
.3624 619 .3213 578 .3842 587
.3666 623 .3234 563 .3869 587
.3680 612 .3241 555 .3883 593
.3729 612 .3261 534 .3911 616
.3743 626 .3268 538 .3925 623
.3784 651 .3289 513 .3953 619
.3798 680 .3303 513 .3967 627
.3847 688 .3324 477 .3994 643
.3895 642 .3345 481 .4008 640
.3909 709 .3359 471 .4043 656
.3944 666 .3366 463 .4057 646
.3958 681 .3393 464 .4568 807
.3999 700 .3400 442 .4606 788
.4013 701
.3428 440 .4620 807
.4069 733 .3435 439 .4654 794
.4097 761 .3463 433 .4710 797
.4104 751 .3470 445 .4724 806
.4118 744 .3504 419 .4751 806
.4124 752 .3511 411 .4779 808
.4152 744 .3546 451 .4809 806
.4166 750 .3560 436 .4821 817
.4196 764 .4849 821
.3588 430
.4210 765 .4863 829
.4249 781 .3595 440 .4897 817
.3622 430
.4263 761 .3636 426 .4911 817
.4319 763 .3671 409 .4939 803
.4354 771 .3685 413 .4953 813
.4368 802
.3713 397 .4981 812
.4409 795 .3761 397 .4994 813
.4423 775 .5022 813
.4472 778 .3775 389
.3803 382 .5036 808
.4486 781 .3810 397 .5175 811
.4527 795 .5210 782
.3838 367
.4541 774 .3845 398 .5224 792
.4569 803 .5251 789
.4583 784 .3878 375 .5265 776
.3893 353
.4652 783 .3956 349 .5300 762
.4687 781
.3977 339 .5314 778
.4701 791 .4011 341 .5349 750
.4861 815 .5363 743
.4909 823 7612.3501 476 .5404 719
.4993 802 .3529 473 .5418 723
.5072 781 .3557 461 .5454 715
.5086 887 .3571 478 .5467 702
.5124 787 .3599 491 .5501 679
.5138 733 .3613 505 .5515 686
.5187 707 .3647 518
.5201 704 .3661 522 7948.3089 345
.5243 689 .3689 542 .3103 348
.5340 672 .3703 563 .3123 343
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3137 353 .3325 738 .2590 765
.3158 351 .3353 756 .2611 742
.3172 362 .3367 734 .2624 775
.3193 360 .3387 723 .2645 761
.3207 365 .3401 716 .2659 786
.3228 371 .4075 457 .2680 752
.3242 369 .4089 431 .2694 735
.3262 360 .4110 453 .2722 746
.3276 374 .4123 438 .2735 776
.3297 367 .4144 435 .2763 750
.3311 380 .4158 427 .2777 770
.3332 382 .4179 418 .2798 749
.3346 388 .4193 408 .2819 787
.3367 381 .4214 420 .2840 775
.3380 386 .4228 409 .2854 773
.3401 405 .4248 400 .2881 797
.3415 397 .4262 403 .2916 812
.3443 398 .4283 391 .2930 789
.3457 408 .4297 385 .2951 790
.3478 416 .4318 383 .2965 771
.3492 416 .4332 372 .2999 773
.3512 414 .4353 368 .3013 749
.3526 408 .4367 360 .3034 802
.3547 417 .4387 358 .3048 802
.3623 463 .4401 352 .3083 765
.3637 451 .4422 365 .3110 768
.3665 447 .4436 365 .3144 770
.3679 461 .4457 344 .3145 732
.3700 467 .4471 349 .3159 765
.3714 486 .4492 333 .3180 820
.3735 464 .4505 320 .3215 791
.3748 478 .4526 327 .3249 776
.3769 503 .4540 328 .3263 705
.3797 511 .4596 329 .3291 764
.3811 521 .4610 323 .3305 725
.3832 536 .4631 313 .3506 689
.3846 552 .4644 312 .3520 592
.3867 530 .4665 307 .3541 675
.3880 548 .4679 312 .3555 639
.3908 549 .4700 319 .3583 550
.3922 560 .4714 317 .3597 589
.4026 651: .4735 329 .3624 568
.4040 630: .4748 318 .3638 522
.4137 637: .4769 340 .3708 548
.4151 660: .4783 332 .3722 579
.4804 331
7949.3061 824 .4818 335 7998.2944 348
.3075 807 .2965 366
.3130 812 7997.2416 743 .2985 367
.3144 831 .2430 752 .2999 377
.3158 807 .2451 728 .3020 389
.3179 794 .2465 744 .3034 375
.3193 799 .2506 747 .3069 384
.3214 761 .2534 727 .3090 376
.3228 762 .2548 758 .3110 373
.3290 729 .2576 761 .3152 406
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3166 403 .3705 456 .2474 697
.3194 398 .3732 434 .2488 707
.3208 411 .3746 443 .2509 674
.3235 413 .3767 441 .2523 697
.3249 462 .3781 441 .2954 752
.3298 418 .3802 434 .2974 761
.3347 418 .3816 440 .2988 799
.3360 407 .3885 478 .3023 800
.3388 491 .3899 461 .3058 789
.3402 474 .3920 495 .3072 767
.3437 473 .3934 474 .3106 819
.3451 486 .3955 497 .3127 809
.3472 481 .3968 470 .3141 794
.3485 487 .3989 475 .3162 764
.3506 484 .4003 500 .3176 808
.3520 505 .4024 490 .3342 791
.3562 510 .4045 521 .3363 785
.3576 517 .4080 540 .3377 791
.3617 512 .4093 535 .3398 804
.3631 553 .4114 515 .3412 807
.3652 518 .4128 531 .3433 761
.3666 531 .4149 525 .3447 785
.3694 527 .4163 538 .3467 779
.3708 546 .4184 548 .3481 787
.3742 576 .4198 536 .3502 806
.3756 572 .4219 545 .3516 806
.3777 569 .4232 535 .3537 792
.3791 561 .4253 550 .3551 775
.4041 626 .4267 553 .3582 785
.4055 637 .4288 578 .3586 773
.4083 619 .4302 594 .3606 777
.4097 643 .4323 603 .3620 762
.4124 633 .4337 598 .3641 782
.4197 647 .4364 554 .3655 752
.4378 550 .3676 768
8019.3302 334 .4399 576 .3690 738
.3316 349 .4413 552 .3711 761
.3350 353 .4434 609 .3724 741
.3364 364 .4448 583 .3755 749
.3385 318 .3759 725
.3399 340 8020.2183 562 .3780 696
.3420 343 .2197 556 .3794 709
.3441 353 .2217 578 .3815 696
.3462 362 .2231 558 .3829 667
.3475 396 .2252 571 .3849 669
.3503 355 .2266 622 .3863 664
.3517 370 .2287 626 .3884 636
.3538 376 .2301 618 .3898 640
.3552 370 .2322 644 .3919 596
.3583 390 .2336 636 .3933 587
.3587 383 .2366 635 .3954 578
.3607 390 .2384 641 .3967 562
.3621 390 .2405 659 .4155 485
.3649 420 .2419 639 .4169 462
.3680 429 .2440 650 .4190 408
.3691 440 .2454 647 .4204 443
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.4224 426 .3365 750 .2842 357
.4238 409 .3386 777 .2874 332
.3402 748 .2907 319
8027.2386 605 .3421 763 .2940 326
.2414 591 .3435 767 .2974 320
.2449 605 .3456 735 .3007 322
.2476 611 .3469 734 .3044 380
.2490 636 .3490 734 .3072 334
.2511 640 .3504 758 .3100 351
.2525 642 .3525 765 .3129 350
.2546 635 .3539 748 .3168 368
.2560 648 .3560 743 .3201 358
.2581 640 .3574 754 .3261 360
.2595 650 .3594 731 .3294 402
.2615 652 .3608 744 .3323 395
.2629 669 .3629 744 .3354 372
.2650 661 .3643 709 .3382 423
.2664 679 .3664 716 .3407 416
.2685 674 .3678 710 .3431 432
.2699 680 .3699 701 .3455 413
.2719 676 .3712 706 .3481 445
.2733 704 .3733 706 .3506 434
.2754 699 .3747 711 .3535 487
.2768 701 .3768 686 .3564 471
.2789 692 .3782 688 .3598 499
.2803 715 .3817 697 .3630 478
.2844 725 .3831 686 8058.2701 444
.2865 730 .3851 697 .2742 441
.2879 724 .3865 662 .2776 436
.2900 720 .3886 681 .2816 488
.2914 746 .3900 676
.2935 760 .3921 687 .2855 466
.2949 744 .3935 686 .2890 451
.2969 730 .4115 599 .2930 454
.2983 737 .4139 580 .2977 419
.3004 750 .4150 543 .3015 413
.3018 732 .4164 522 .3052 392
.3039 761 .4185 515 .3091 348
.3053 745 .4199 520 .3140 351
.3074 732 .4268 477 .3174 315
.3087 723 .4282 461 .3207 305
.3108 740 .4303 467 .3244 299
.3122 762 .4317 441 .3281 309
.3143 727 .4337 438 .3313 297
.3157 731 .4351 422 8246.5073 365:
.3178 751 .4372 407 .5081 367:
.3192 778 .4380 415 .5090 342:
.3212 752 .4414 430 .5100 348:
.3226 786 .5109 371:
.3247 774 8053.2574 354 .5120 366:
.3261 782 .2602 342 .5131 314:
.3282 752 .2633 336 .5140 342:
.3296 791 .2671 334 .5151 343:
.3317 784 .2710 316 .5160 352:
.3331 777 .2780 343 .5168 333:
.3351 752 .2812 338 .5177 352:
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5186 330: .5199 814: .4363 788
.5218 335: .5211 800: .4389 794
.5227 305: .5220 842: .4396 806
.5235 329: .5229 813: .4517 808
.5284 309: .5239 814: .4524 811
.5293 317: .5249 805: .4531 810
.5306 315: .5273 827: .4537 816
.5316 285: .5283 829: .4544 782
.5324 292: .5291 823: .4550 835
.5361 300: .5301 823: .4673 805
.5370 336: .5311 808: .4704 847
.5382 320: .5323 809: .4712 851
.5392 336: .5331 832: .4720 842
.5403 340: .5339 820: .4735 852
.5413 320: .5347 818: .4744 834
.5422 326: .5368 828: .4751 824
.5434 325: .5376 827: .4759 803
.5444 346: .5386 822: .4767 821
.5455 343: .5394 821: .4775 828
.5463 318: .5403 810: .4781 835
.5477 306: .5424 814: .4808 863
.5488 348: .5436 787: .4815 861
.5522 397: .5447 819: .4822 859
.5533 376: .5472 771: .4831 859
.5544 356: .5481 774: .4839 844
.5554 370: .5492 794: .4848 857
.5565 386: .5502 792: .4856 811
.5577 399: .5510 798: .4864 856
.5588 357: .5519 821: .4871 828
.5602 386: .5529 805: .4879 834
.5613 372: .5556 781: .4907 839
.5626 381: .5567 762: .4915 843
.5666 368: .5577 779: .4970 807
.5677 410: .5587 757: .4978 827
.5685 396: .5598 764: .4988 813
.5696 398: .5608 765: .4997 816
.5706 398: .5616 765: .5005 817
.5716 390: .5627 746: .5014 810
.5729 387: .5650 730: .5023 802
.5739 376: .5661 708: .5032 789
.5749 426: .5671 717: .5065 810
.5760 425: .5682 708: .5075 814
.5793 444: .5695 707: .5084 763
.5800 446: .5705 692: .5094 795
.5812 444: .5714 693: .5102 775
.5724 707: .5112 770
8256.5091 803: .5735 699: .5122 768
.5098 793: .5748 652: .5131 780
.5107 788: .5774 661: .5141 751
.5116 776: .5785 652: .5152 750
.5127 766: .5797 644: .5183 786
.5137 760: .5827 661: .5192 760
.5147 772: .5837 683: .5206 720
.5156 777: .5225 761
.5183 823: 8258.4346 792 .5230 769
.5190 824: .4356 776 .5238 736
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5246 740 .5937 417 .4808 467
.5258 748 .4819 488
.5269 694 8268.4053 335 .4825 486
.5277 704 .4069 370 .4834 447
.5309 651 .4076 350 .4843 466
.5317 671 .4083 334 .4851 457
.5326 669 .4092 349 .4861 520
.5334 668 .4099 341 .4871 485
.5346 643 .4108 336 .4903 512
.5355 644 .4117 345 .4911 520
.5365 645 .4125 329 .4919 507
.5375 643 .4135 334 .4928 521
.5383 634 .4164 324 .4938 526
.5392 625 .4174 335 .4947 519
.5425 577 .4184 328 .4957 514
.5434 584 .4193 333 .4966 509
.5445 563 .4202 345 .4975 519
.5455 563 .4211 286 .4991 598
.5465 549 .4222 333 .5017 527
.5474 579 .4232 305 .5026 554
.5485 559 .4243 324 .5035 538
.5495 547 .4253 328 .5160 550
.5504 522 .4287 282 .5168 580
.5514 518 .4297 280 .5177 577
.5540 504 .4306 270 .5186 578
.5549 495 .4316 321 .5196 598
.5559 475 .4327 316 .5215 615
.5570 495 .4337 306 .5225 626
.5578 496 .4345 318 .5233 628
.5586 500 .4353 343 .5252 615
.5597 488 .4361 356 .5259 594
.5607 488 .4371 368 .5267 589
.5617 466 .4402 355 .5277 598
.5628 458 .4413 348 .5286 598
.5661 466 .4422 351 .5297 614
.5670 466 .4433 379 .5306 608
.5679 471 .4443 357 .5315 592
.5689 463 .4464 408 .5340 666
.5698 472 .4471 377 .5355 681
.5707 459 .4478 386 .5361 655
.5719 450 .4484 398 .5373 662
.5729 446 .4492 369 .5383 655
.5740 459 .4532 415 .5392 641
.5751 452 .4541 425 .5399 657
.5782 447 .4664 437 .5414 689
.5799 433 .4676 483 .5421 663
.5801 444 .4689 429 .5428 675
.5812 439 .4697 442 .5436 682
.5823 432 .4707 493 .5444 691
.5832 428 .4716 480 .5451 698
.5844 437 .4728 457 .5475 713
.5857 437 .4734 454 .5485 686
.5874 424 .4749 509 .5500 698
.5886 439 .4759 497 .5518 709
.5917 411 .4790 472 .5527 717
.5927 418 .4799 470 .5532 725
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5539 743 .4178 359 .4673 344
.5546 723 .4188 359 .4680 345
.5553 745 .4195 378 .4689 346
.5561 722 .4202 385 .4695 350
.5570 744 .4209 369 .4719 374
.5578 747 .4216 405 .4727 361
.5588 765 .4225 377 .4735 357
.4232 363 .4743 365
8291.3645 519 .4239 395 .4752 371
.3653 514 .4262 389 .4760 363
.3659 517 .4269 367 .4767 353
.3666 490 .4280 370 .4774 364
.3674 488 .4289 372 .4783 357
.3681 478 .4296 368 .4816 363
.3690 464 .4303 399 .4823 356
.3698 482 .4309 358 .4832 358
.3706 504 .4316 388 .4841 350
.3739 485 .4323 349 .4855 387
.3746 456 .4333 326 .4869 351
.3753 445 .4358 303 .4875 376
.3760 474 .4366 330 .4883 386
.3769 445 .4373 334 .4892 372
.3777 460 .4382 328 .4904 388
.3785 454 .4389 312 .4931 354
.3793 460 .4396 337 .4941 360
.3799 467 .4405 351 .4949 372
.3808 445 .4414 318 .4958 369
.3843 445 .4421 311 .5832 662
.3852 441 .4428 323 .5837 675
.3861 418 .5842 686
.3868 437 .4451 336 .5847 686
.3876 427 .4458 341 .5853 687
.3883 453 .4463 332 .5868 676
.3943 361 .4470 331 .5867 695
.3952 384 .4475 339 .5874 684
.3958 448 .4482 338 .5880 678
.3965 387 .4492 315 .5884 682
.3988 445 .4499 330 .5891 713
.3997 443 .4510 305 .5917 704
.4008 407 .4531 325 .5923 705
.4014 418 .4539 347 .5929 707
.4020 400 .4547 324 .5935 727
.4028 436 .4554 361 .5940 736
.4035 429 .4562 322 .5946 741
.4042 438 .4568 341 .5951 729
.4055 399 .4574 361 .5958 717
.4081 397 .4582 329 .5964 716
.4088 397 .4590 341 .5970 713
.4095 408 .4597 325 .5975 704
.4102 418 .4623 321 .5994 712
.4107 394 .4630 343 .6004 751
.4113 393 .4638 343 .6010 731
.4119 392 .4644 367 .6016 727
.4135 372 .4651 367 .6022 756
.4142 395 .4658 328 .6027 771
.4171 363 .4666 321 .6032 741
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.6038 771 .4684 466: .5431 736:
.6044 751 .4696 442: .5436 724:
.4709 475: .5454 740:
8293.3642 379: .5073 623: .5459 757:
.3649 400: .5078 591: .5463 709:
.3660 435: .5084 600: .5472 703:
.3667 392: .5090 602: .5479 736:
.3673 425: .5097 611: .5485 755:
.3732 341: .5102 630: .5491 759:
.3737 333: .5107 622: .5512 730:
.3745 314: .5113 614: .5517 807:
.3751 317: .5118 621: .5521 747:
.3758 322: .5125 639: .5528 803:
.3766 322: .5130 633: .5534 787:
.3773 325: .5135 631: .5539 795:
.3780 319: .5140 631: .5547 789:
.3787 330: .5165 630: .5553 784:
.3794 325: .5170 642: .5558 757:
.3801 312: .5174 597: .5564 779:
.3807 313: .5181 597: .5577 800:
.4238 340: .5186 638: .5582 774:
.4244 340: .5192 655: .5588 780:
.4251 332: .5198 642: .5593 793:
.4259 346: .5205 650:
.4268 326: .5211 632: 8294.4185 781
.4307 365: .5216 599: .4189 780
.4310 352: .5223 632: .4196 778
.4316 380: .5228 632: .4201 784
.4333 378: .5246 627: .4220 784
.4339 365: .5251 634: .4225 793
.4349 342: .5255 631: .4231 786
.4355 371: .5260 679: .4237 812
.4389 380: .5265 653: .4244 778
.4398 368: .5270 630: .4251 765
.4406 353: .5284 642: .4269 801
.4423 326: .5289 675: .4287 794
.4430 348: .5294 691: .4293 765
.4439 351: .5299 681: .4300 766
.4451 375: .5306 655: .4306 777
.4467 364: .5313 674: .4315 762
.4476 366: .5330 679: .4323 748
.4484 404: .5336 662: .4329 757
.4496 371: .5341 703: .4336 778
.4523 397: .5348 698: .4393 795
.4532 410: .5352 702: .4399 791
.4542 389: .5357 715: .4406 757
.4555 394: .5362 700: .4411 751
.4566 396: .5367 711: .4417 766
.4573 386: .5373 703: .4425 759
.4582 384: .5380 746: .4430 776
.4591 395: .5387 726: .4435 732
.4598 382: .5393 729: .4443 733
.4633 452 .5398 750: .4449 716
.4646 443: .5416 718: .4455 746
.4653 425: .5421 696: .4462 755
.4663 434: .5426 731: .4485 755
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.4490 718 .4932 440 .5601 357
.4496 717 .4938 447 .5607 364
.4502 714 .4944 444 .5627 341
.4508 722 .4950 451 .5637 328
.4517 695 .5030 463 .5643 341
.4522 712 .5035 467 .5648 347
.4529 712 .5042 463 .5654 334
.4535 710 .5048 467 .5662 355
.4541 700 .5054 450 .5668 340
.4548 678 .5062 449 .5679 324
.4556 676 .5069 437 .5687 335
.4567 680 .5078 436 .5694 342
.4592 648 .5085 460 .5701 342
.4599 652 .5101 471 .5709 352
.4606 660 .5108 469 .5745 332
.4614 656 .5141 470 .5753 335
.4620 661 .5148 441 .5759 335
.4626 660 .5163 418 .5766 328
.4632 622 .5170 438 .5773 345
.4641 621 .5177 446 .5781 339
.4647 593 .5185 459 .5788 352
.4655 618 .5223 467 .5796 339
.4662 630 .5230 445 .5805 338
.4668 625 .5238 466 .5811 339
.4685 596 .5345 368 .5817 341
.4696 593 .5352 369 .5840 350
.4702 576 .5359 370 .5846 351
.4709 599 .5366 350 .5854 354
.4714 594 .5372 346 .5860 355
.4721 606 .5379 346 .5867 352
.4727 567 .5386 362 .5874 362
.4739 554 .5391 361 .5880 366
.4747 552 .5398 362 .5888 346
.4752 569 .5405 369 .5896 346
.4759 548 .5412 366 .5903 352
.4779 515 .5419 375 .5940 346
.4785 509 .5447 372 .5948 351
.4790 508 .5454 374 .5955 364
.4797 530 .5461 372 .5964 343
.4802 523 .5467 355 .5976 375
.4807 534 .5475 378 .5995 364
.4813 514 .5484 368
.4819 501 .5490 367 8296.3952 757
.4825 525 .5497 350 .3959 770
.4831 510 .5504 370 .3965 767
.4837 507 .5518 362 .3972 748
.4843 518 .5524 374 .3978 731
.4849 512 .5546 351 .3986 735
.4863 518 .5553 358 .3995 722
.4889 486 .5559 359 .4002 718
.4895 467 .5564 354 .4010 716
.4902 479 .5571 358 .4017 714
.4907 468 .5577 366 .4024 699
.4914 464 .5583 368 .4030 694
.4920 465 .5589 365 .4036 674
.4926 438 .5594 346 .4043 669
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.4052 677 .4600 416 .5969 490
.4058 684 .4608 410 .5975 490
.4063 673 .4617 425 .5981 488
.4069 651 .4628 412 .5986 515
.4073 672 .4635 415 .5993 490
.4080 643 .4641 442 .5998 510
.4102 693 .4646 448 .6027 491
.4108 682 .4651 453 .6033 481
.4115 672 .4658 451 .6039 489
.4124 677 .4666 462 .6046 491
.4131 663 .4721 414 .6051 512
.4138 661 .4726 433 .6057 505
.4144 636 .4731 416 .6063 494
.4153 640 .4737 413 .6068 531
.4162 605 .4743 422 .6075 517
.4188 598 .4748 429 .6081 530
.4196 610 .4754 415 .6087 523
.4203 637 .4765 432 .6093 512
.4210 585 .4788 433 .6115 500
.4218 585 .4794 421 .6121 537
.4225 576 .4800 421 .6126 518
.4232 553 .4806 418 .6133 544
.4239 558 .4811 420 .6140 508
.4245 554 .4817 398 .6150 526
.4252 541 .5660 362 .6157 540
.4257 548 .5665 366 .6164 543
.4292 535 .5686 390 .6170 567
.4299 528 .5692 388 .6178 545
.4305 514 .5696 374 .6186 551
.4313 521 .5702 383 .6193 567
.4320 514 .5708 388 .6214 569
.4328 515 .5713 400 .6219 573
.4335 498 .5720 404 .6230 546
.4349 476 .5726 400 .6236 546
.4356 486 .5731 419 .6244 561
.4381 475 .5737 397 .6250 573
.4391 479 .5769 410 .6256 579
.4399 460 .5776 415 .6263 582
.4408 468 .5783 423 .6270 585
.4416 477 .5791 418 .6277 566
.4423 475 .5798 416 .6283 582
.4430 475 .5809 416 .6290 508
.4439 461 .5817 427 .6313 572
.4447 447 .5826 432 .6319 578
.4456 468 .5832 439 .6324 590
.4486 467 .5854 416 .6331 604
.4494 459 .5861 444 .6337 592
.4501 457 .5867 424 .6343 621
.4510 456 .5901 445 .6349 602
.4518 424 .5907 446 .6357 614
.4526 463 .5913 451 .6364 613
.4533 456 .5919 456 .6371 626
.4542 450 .5943 467
.4551 468 .5950 462
.4558 455 .5957 479
.4592 406 .5963 490
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.6378 622 .3708 633 .4468 761
.6404 603 .3719 615 .4478 755
.6412 607 .3729 579 .4489 803
.6418 613 .3738 650 .4498 773
.6424 641 .4508 785
.6431 617 8315.3325 396 .4519 743
.6438 663 .3338 414 .4531 804
.3349 426 .4543 743
8297.5431 745 .3394 437 .4554 743
.5441 712 .3403 419 .4564 742
.5450 720 .3411 456 .4575 773
.5452 733 .3420 444 .4586 755
.5470 720 .3428 456 .4594 762
.5480 728 .3438 410 .4630 741
.5508 738 .3472 442 .4640 779
.5517 755 .3482 433 .4650 760
.5527 720 .3497 428 .4663 790
.5537 710 .3518 436 .4673 754
.5547 730 .3527 456 .4682 790
.5555 730 .3535 447 .4691 760
.5565 704 .3544 488 .4701 777
.5573 711 .3551 529 .4712 815
.5583 695 .3559 504 .4725 790
.5591 699 .3569 466 .4735 808
.5617 697 .3578 484 .4746 803
.5627 680 .3588 465 .4794 752
.5635 696 .3597 504 .4805 758
.5644 684 .3605 494 .4822 815
.5652 688 .3615 447 .4837 790
.5661 687 .3626 484 .4853 764
.5669 622 .3636 534 .4862 774
.5677 659 .3646 514 .4874 813
.5686 663 .3680 493 .4883 758
.5695 663 .3689 503 .4897 719
.5726 663 .3699 512 .4908 776
.5736 644 .3709 533 .4919 764
.5745 652 .3718 504 .4966 763
.5754 681 .3727 503 .4977 732
.5764 655 .3736 503 .4995 732
.5773 663 .3747 497 .5005 755
.5784 649 .3758 554 .5013 767
.5793 632 .4280 715 .5028 699
.5790 630 .4287 708 .5048 732
.5809 633 .4300 716 .5061 732
.4308 721 .5071 699
8299.3592 560 .4319 681 .5042 715
.3599 548 .4332 682 .5104 721
.3607 569 .4342 750 .5145 727
.3616 563 .4352 757 .5155 718
.3625 597 .4363 727 .5169 740
.3633 580 .4374 750 .5183 712
.3641 556 .4410 743 .5194 724
.3650 564 .4421 767 .5204 713
.3659 572 .4432 755 .5214 706
.3668 548 .4446 727 .5225 718
.3697 629 .4460 778 .5236 708
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5249 697 .4591 439 .5402 731
.5265 686 .4602 450 .5416 736
.5279 686 .4616 456 .5459 721
.5292 689 .4678 454 .5473 747
.5311 664 .4687 465 .5492 729
.5328 686 .4694 479 .5509 725
.5391 662 .4705 449 .5523 734
.5406 614 .4713 480 .5537 735
.5424 632 .4726 487 .5551 718
.5435 609 .4746 509 .5566 729
.5449 633 .4754 493 .5579 741
.5460 632 .4769 503 .5593 774
.5470 614 .4783 488 .5664 720
.5480 604 .4802 506 .5681 726
.5489 614 .4812 530 .5694 746
.5498 604 .4823 508 .5707 770
.4860 525 .5732 836
8316.3139 757 .4878 531 .5746 783
.3147 754 .4895 530
.3156 756 .4904 529 8319.3208 727
.3163 770 .4927 546 .3217 717
.3173 737 .4934 565 .3226 707
.3180 740 .4949 591 .3234 725
.3190 718 .4958 587 .3241 718
.3198 692 .4969 574 .3248 717
.3206 682 .4980 566 .3255 706
.3216 735 .4991 583 .3262 698
.3335 599 .5002 552 .3269 699
.3344 589 .5034 609 .3275 708
.3351 604 .5043 588 .3282 690
.3360 607 .5050 598 .3288 705
.3369 589 .5057 638 .3296 699
.3379 580 .5064 399 .3302 716
.3393 573 .5074 591 .3310 732
.3446 612 .5086 626 .3332 733
.3455 575 .5097 637 .3339 717
.3464 556 .5107 617 .3345 737
.3473 539 .5120 607 .3351 739
.3479 547 .5131 599 .3359 754
.3486 529 .5143 616 .3366 737
.3492 526 .5156 646 .3373 737
.3499 554 .5169 656 .3380 740
.3506 547 .5180 622 .3386 745
.3514 519 .5221 659 .3393 754
.3520 585 .5235 671 .3415 746
.3533 572 .5248 681 .3426 744
.5260 690 .3433 745
8318.4455 379 .5272 731 .3440 757
.4466 401 .5285 724 .3446 756
.4475 412 .5298 700 .3453 775
.4485 415 .5314 710 .3460 745
.4504 459 .5331 709 .3466 735
.4515 444 .5346 742 .3473 744
.4546 434 .5361 750 .3480 747
.4557 412 .5374 699 .3501 765
.4577 457 .5386 710 .3508 762
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3517 750 .4013 828 .4778 492
.3529 758 .4044 792 .4809 473
.3538 739 .4053 813 .4817 469
.3546 761 .4061 812 .4825 469
.3553 779 .4067 834 .4836 478
.3560 770 .4074 814 .4857 469
.3566 758 .4081 804 .4869 486
.3573 770 .4088 813 .4880 486
.3579 772 .4095 813 .4890 482
.3605 807 .4102 826 .4899 470
.3613 786 .4109 835 .4931 478
.3622 786 .4116 813 .4940 487
.3631 778 .4123 812 .4951 453
.3637 786 .4130 802 .4961 444
.3644 767 .4157 803 .4972 447
.3652 796 .4164 814 .4982 447
.3659 776 .4171 816 .5017 453
.3666 786 .4178 797 .5029 461
.3675 769 .4187 802 .5042 461
.3683 803 .4194 803 .5054 469
.3690 785 .4201 781 .5067 454
.3697 776 .4209 803 .5077 461
.3704 799 .4215 801 .5087 465
.3711 796 .4223 793 .5107 435
.3736 839 .4231 774 .5120 461
.3744 805 .4238 803 .5136 440
.3751 833 .4247 763 .5149 441
.3757 824 .4255 787 .5161 446
.3764 810 .4281 761 .5170 469
.3771 822 .4290 741 .5210 368
.3778 791 .4306 762 .5220 385
.3784 833 .4317 761 .5230 381
.3791 811 .4327 761 .5245 382
.3798 802 .4355 767 .5258 354
.3804 806 .4541 616 .5269 355
.3811 811 .4568 615 .5282 328
.3817 792 .4579 628 .5295 334
.3825 812 .4587 601 .5307 328
.3848 815 .4598 599 .5317 328
.3855 804 .4606 598 .5326 331
.3862 810 .4616 605 .5339 328
.3869 799 .4627 576 .5496 325
.3874 798 .4657 565 .5505 322
.3884 794 .4668 574 .5515 293
.3920 821 .4677 542 .5524 295
.3929 810 .4685 549 .5534 309
.3935 812 .4694 549 .5544 296
.3944 828 .4702 531 .5556 277
.3953 806 .4709 531
.3962 855 .4718 539 8322.3952 562
.3970 844 .4727 524 .3958 537
.3977 828 .4735 311 .3964 529
.3984 812 .4745 503 .3970 524
.3991 813 .4754 492 .3976 545
.3998 821 .4762 492 .3981 545
.4006 812 .4770 492 .3986 562
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3992 562 .4608 745 .5189 811
.3999 558 .4614 733 .5195 825
.4005 561 .4620 744 .5200 821
.4024 591 .4641 726 .5206 818
.4029 580 .4646 755 .5212 825
.4035 598 .4652 760 .5217 816
.4041 564 .4658 782 .5222 820
.4045 598 .4664 760 .5227 815
.4052 581 .4670 790 .5233 810
.4059 583 .4677 785 .5240 802
.4064 564 .4683 808 .5259 797
.4071 573 .4688 780 .5265 812
.4077 598 .4695 784 .5271 805
.4103 604 .4700 780 .5279 808
.4109 600 .4722 786 .5283 816
.4115 582 .4728 795 .5289 797
.4128 648 .4734 809 .5295 797
.4157 614 .4740 801 .5300 807
.4179 636 .4750 799 .5306 810
.4185 645 .4756 762 .5311 806
.4201 663 .4762 770 .5316 816
.4206 655 .4767 765 .5321 810
.4212 663 .4777 761 .5327 812
.4217 676 .4811 783 .5336 823
.4222 654 .4817 779 .5356 818
.4252 650 .4823 794 .5362 803
.4258 649 .4830 782 .5367 799
.4264 623 .4835 821 .5373 805
.4270 627 .4845 810 .5378 803
.4277 625 .4852 770 .5383 792
.4284 623 .4860 782 .5389 790
.4289 669 .4867 799 .5395 788
.4301 686 .4874 775 .5400 787
.4307 645 .4908 793 .5405 794
.4313 650 .4914 783 .5409 808
.4319 650 .4919 804 .5414 809
.4324 686 .4924 816 .5419 803
.4348 652 .4929 789 .5443 776
.4354 681 .4934 797 .5449 783
.4362 670 .4943 772 .5454 779
.4370 670 .4960 804 .5459 777
.4377 690 .4966 806 .5464 772
.4386 694 .4971 817 .5469 770
.4507 688 .4976 800 .5473 770
.4514 706 .5005 771 .5479 765
.4522 696 .5012 793 .5484 764
.4529 715 .5019 814 .5489 778
.4537 716 .5025 786 .5494 762
.4561 736 .5031 790 .5499 739
.4568 717 .5036 830 .5504 753
.4577 721 .5042 794 .5509 746
.4580 725 .5049 803 .5515 765
.4586 735 .5054 816 .5539 746
.4592 740 .5060 796 .5545 752
.4597 743 .5176 805 .5550 767
.4602 744 .5183 817 .5556 749
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5562 756 .3324 778 .4005 444
.5567 743 .3332 773 .4029 419
.5573 752 .3340 775 .4039 440
.5578 753 .3348 755 .4046 426
.5583 753 .3358 744 .4054 432
.5588 738 .3366 746 .4062 428
.5595 735 .3777 755 .4089 431
.5600 738 .3388 732 .4097 421
.5607 733 .3414 740 .4105 423
.5632 702 .3424 722 .4115 414
.5638 717 .3436 722 .4125 406
.5643 760 .3446 711 .4131 414
.5650 712 .3457 703 .4151 408
.5655 726 .3468 704 .4158 408
.5661 712 .3477 696 .4184 403
.5667 723 .3487 715 .4191 395
.5673 717 .3496 701 .4198 401
.5679 723 .3508 686 .4205 397
.5685 709 .3532 688 .4212 391
.5689 698 .3542 681 .4220 397
.5695 708 .3553 672 .4251 380
.5715 675 .3562 670 .4261 388
.5720 679 .3573 663 .4269 384
.5727 665 .3586 647 .4278 390
.5732 684 .3596 644 .4286 386
.5738 681 .3606 640 .4317 364
.5743 667 .3615 622 .4326 375
.5749 672 .3625 636 .4334 376
.5754 654 .3649 607 .4341 375
.5757 663 .3659 598 .4351 371
.5763 652 .3676 589 .4379 363
.3687 582 .4387 363
8323.3056 806 .3698 580 .4397 376
.3064 800 .3709 564 .4407 362
.3070 799 .3719 550 .4415 358
.3078 789 .3729 560 .4441 362
.3085 791 .3739 537 .4450 367
.3092 811 .3750 529 .4465 365
.3119 809 .3778 524 .4474 360
.3127 798 .3788 516 .4480 360
.3135 807 .3798 510 .4496 359
.3144 817 .3807 503 .4534 345
.3152 808 .3819 502 .4542 346
.3183 787 .3829 497 .4551 347
.3189 784 .3839 491 .4559 352
.3197 789 .3849 487 .4567 350
.3204 777 .3858 480 .4595 355
.3212 791 .3868 469 .4604 351
.3221 781 .3924 452 .4611 366
.3244 766 .3936 447 .4624 345
.3252 762 .3947 442 .4636 330
.3260 786 .3957 425 .4642 355
.3267 781 .3966 442 .4651 351
.3275 768 .3976 427 .4556 346
.3309 779 .3985 437 .4664 337
.3316 760 .3997 430 .4670 357
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.4676 359 .2856 499 .3386 365
.4682 343 .2863 462 .3393 372
.4688 339 .2870 452 .3399 376
.4709 362 .2877 468 .3405 371
.4715 375 .2882 445 .3411 361
.4722 358 .2973 470 .3417 371
.4728 348 .2979 462 .3427 374
.4734 352 .2985 464 .3433 375
.4741 340 .2991 463 .3440 357
.4748 353 .2998 471 .3446 361
.4756 359 .3005 449 .3451 357
.4762 340 .3010 433 .3457 370
.4769 352 .3017 444 .3478 367
.4777 334 .3024 456 .3484 362
.4787 339 .3030 440 .3490 341
.4826 355 .3036 433 .3496 350
.4835 348 .3046 424 .3503 327
.4844 358 .3067 467 .3510 334
.4854 355 .3073 444 .3518 340
.4866 365 .3079 443 .3548 364
.4873 377 .3086 460 .3555 361
.4881 371 .3093 451 .5193 720
.4945 330 .3098 467 .5200 746
.4953 349 .3105 474 .5208 729
.4963 375 .3112 444 .5214 730
.4975 369 .3118 449 .5232 716
.4983 359 .3124 459 .5239 727
.4990 365 .3131 443 .5244 724
.5001 354 .3153 434 .5249 746
.5033 365 .3159 442 .5253 751
.5051 355 .3167 450 .5260 750
.5063 379 .3173 449 .5265 750
.5079 365 .3180 435 .5271 757
.3187 427 .5276 762
8325.2942 672 .3194 416 .5283 761
.2952 671 .3200 412 .5305 792
.2961 724 .3207 419 .5348 744
.2970 692 .3213 435 .5354 745
.2979 683 .3240 403 .5374 776
.2989 653 .3261 421 .5380 775
.2999 652 .3266 413 .5387 753
.3012 643 .3272 418 .5392 775
.3023 613 .3277 421 .5398 799
.3032 634 .3283 418 .5403 799
.3060 633 .3288 407 .5409 770
.3066 644 .3295 396 .5415 765
.3072 633 .3300 403 .5422 798
.3078 614 .3306 403 .5428 786
.3084 619 .3313 410 .5435 797
.3091 605 .3319 408 .5441 797
.3325 408 .5464 794
8327.2823 515 .3331 402 .5470 776
.2830 495 .3337 396 .5475 805
.2837 515 .3343 382 .5481 787
.2844 508 .3362 400 .5487 804
.2850 487 .3378 379 .5491 814
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5498 825 .6040 819 .2989 364
.5511 839 .6046 847 .2995 354
.5517 813 .6058 858 .3015 347
.5524 816 .6088 839 .3022 332
.5531 804 .6095 804 .3032 348
.5554 819 .6101 815 .3037 347
.5560 806 .6107 816 .3043 342
.5566 838 .6113 838 .3049 325
.5572 828 .6120 837 .3055 314
.5579 827 .6125 849 .3061 326
.5584 828 .6137 814 .3067 321
.5590 829 .6144 826 .3072 312
.5595 827 .6166 782 .3078 337
.5601 826 .6172 786 .3083 348
.5607 812 .6178 793 .3089 308
.5612 851 .6185 806 .3096 341
.5678 840 .6191 816 .3103 334
.5684 816 .6200 831 .3110 300
.5695 842 .6207 795 .3118 348
.5700 824 .6213 823 .3124 331
.5706 785 .6220 807 .3145 328
.5712 793 .6225 811 .3151 331
.5718 828 .6246 791 .3157 328
.5723 842 .6252 802 .3163 357
.5728 829 .6259 796 .3169 328
.5733 822 .6268 804 .3175 345
.5762 826 .6274 838 .3182 324
.5767 835 .6281 815 .3188 314
.5773 846 .6288 813 .3197 328
.5779 855 .6295 803 .3203 293
.5784 856 .6303 804 .3210 299
.5807 842 .6310 814 .3216 293
.5812 831 .6331 756 .3223 314
.5818 828 .6337 751 .3230 293
.5824 830 .6342 762 .3236 299
.5829 831 .6349 796 .3260 321
.5839 843 .6356 734 .3267 327
.5845 852 .6364 773 .3275 334
.5853 878 .6470 762 .3282 327
.5859 865 .6377 762 .3290 327
.5866 831 .6382 760 .3297 333
.5886 845 .6389 751 .3305 336
.5892 844 .3314 334
.5898 846 8329.2910 376 .3321 327
.5904 867 .2916 369 .3594 331
.5908 872 .2919 354 .3600 335
.5914 877 .2928 360 .3605 331
.5919 844 .2934 359 .3611 334
.5926 845 .2940 361 .3617 335
.5932 855 .2946 346 .3622 342
.5938 855 .2953 365 .3628 331
.6009 808 .2959 339 .3633 335
.6014 808 .2965 347 .3638 335
.6019 821 .2961 350 .3644 343
.6027 833 .2978 354 .3649 335
.6034 834 .2983 369 .3655 340
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3661 335 .3893 624 .4765 840
.3667 343 .3929 620 .4774 852
.3688 336 .3938 617 .4782 842
.3693 346 .3946 623 .4792 829
.3699 335 .3954 623 .4801 854
.3705 338 .3962 633 .4826 822
.3711 345 .3970 621 .4836 805
.3979 660 .4847 799
8330.4848 359: .3987 661 .4857 800
.4864 356: .3997 641 .4872 822
.4870 364: .4007 637 .4882 839
.4875 362: .4034 692 .4891 822
.4880 370: .4042 674 .4900 800
.4886 385: .4050 701 .4909 815
.4891 370: .4057 694 .4917 833
.4896 399: .4065 722 .4938 847
.4903 385: .4073 694 .4947 830
.4909 370: .4080 687 .4956 841
.4915 385: .4086 694 .4965 830
.4921 364: .4097 702 .4976 859
.4926 370: .4134 642 .4985 841
.4936 335: .4144 657 .4999 851
.4942 367: .4371 761 .5012 830
.4947 357: .4380 788 .5021 841
.4953 352: .4389 751 .5031 852
.4958 363: .4399 751 .5055 830
.4964 362: .4408 756 .5063 818
.4970 355: .4418 772 .5072 830
.4997 355: .4427 751 .5080 839
.5003 372: .4437 763 .5089 838
.5008 367: .4447 794 .5098 795
.5015 363: .4457 783 .5110 816
.5352 360: .4497 792 .5120 850
.5357 360: .4505 794 .5128 839
.5362 360: .4513 772 .5137 826
.5368 375: .4522 804 .5162 798
.5374 368: .4531 815 .5172 813
.5379 364: .4539 825 .5181 792
.5386 361: .4555 791 .5190 804
.5392 364: .4567 803 .5199 827
.5399 391: .4577 771 .5207 841
.5405 386: .4585 803 .5216 838
.5410 406: .4611 819 .5225 844
.5416 385: .4620 798 .5237 838
.5421 398: .4629 821 .5786 506
.5427 401: .4637 844 .5793 488
.4647 809 .5801 488
8331.3804 575 .4668 820 .5809 487
.3824 606 .4679 818 .5817 487
.3835 615 .4690 787 .5826 497
.3842 606 .4699 809 .5834 488
.3850 604 .4721 796 .5844 460
.3857 603 .4730 807 .5856 473
.3864 606 .4739 808 .5868 452
.3872 605 .4747 801 .5867 436
.3879 606 .4755 824 .5883 428
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.5913 446 .5370 751 .2842 444
.5921 454 .5506 756 .2850 457
.5937 429 .5516 773 .2859 451
.5946 437 .5523 761 .2896 451
.5956 442 .5531 761 .2906 442
.5966 438 .5539 763 .2915 464
.6008 454 .5548 785 .2934 466
.6020 454 .5555 797 .2944 468
.6129 432 .5562 797 .2951 443
.6136 434 .2960 444
.6144 417 8365.2374 328 .2968 492
.6152 443 .2381 329 .2977 487
.6161 424 .2389 332 .3008 444
.6171 414 .2399 342 .3017 473
.6180 443 .2409 354 .3026 467
.6191 415 .2418 352 .3035 483
.6201 425 .2426 337 .3045 490
.6210 424 .2436 350 .3054 499
.6231 409 .2444 358 .3063 482
.6239 403 .2450 363 .3074 502
.6247 402 .2488 371 .3087 497
.6255 408 .2494 366 .3096 511
.6263 416 .2501 367 .3127 491
.6271 399 .2510 357 .3133 508
.6280 402 .2520 356 .3140 533
.6288 409 .2528 344 .3147 526
.2537 357 .3153 520
8343.5048 653 .2547 354 .3159 534
.5065 675 .2556 353 .3155 543
.5074 664 .2563 355 .3171 538
.5082 664 .2590 372 .3177 527
.5100 653 .2598 416 .3201 513
.5107 707 .2605 406 .3211 525
.5113 654 .2612 396 .3219 540
.5120 674 .2619 407 .3226 543
.5127 678 .2626 427 .3235 546
.5134 683 .2633 412 .3243 550
.5142 695 .2640 405 .3249 558
.5204 691 .2648 398 .3256 548
.5211 692 .2655 392 .3265 564
.5217 695 .2678 424 .3273 565
.5226 724 .2687 442 .3281 566
.5236 691 .2695 426 .3289 575
.5246 713 .2703 390 .3320 601
.5254 736 .2712 437 .3328 598
.5251 675 .2721 413 .3336 605
.5269 736 .2730 418 .3343 625
.5277 724 .2738 436 .3351 616
.5304 740 .2746 437 .3360 594
.5311 730 .2755 401 .3368 627
.5319 729 .2787 441 .3376 636
.5328 753 .2795 426 .3387 627
.5335 729 .2803 452 .3392 628
.5347 753 .2815 443 .4012 753
.5355 776 .2822 436 .4020 757
.5362 783 .2831 431 .4028 722
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.4036 756 .4923 786 .2629 746
.4042 732 .4930 799 .2638 761
.4052 723 .4936 779 .2646 729
.4060 717 .4944 769 .2659 714
.4068 722 .5116 719 .2668 726
.4076 712 .5124 691 .2679 717
.4084 720 .5130 691 .2689 681
.4094 727 .5136 690 .2698 707
.4154 739 .5164 671 .2712 687
.4163 747 .5172 663 .2720 683
.4172 772 .5179 635 .2748 664
.4180 763 .5187 622 .2760 677
.4187 745 .5195 674 .2772 664
.4195 764 .5204 676 .2781 649
.4223 787 .5210 686 .2792 653
.4232 743 .5217 643 .2802 658
.4242 765 .5225 593 .2813 635
.4249 763 .5232 596 .2821 648
.4257 771 .5239 675 .2831 610
.4265 770 .2841 597
.4274 771 .2850 540
.4282 774 8375.2108 836 .2880 599
.4291 775 .2117 818 .2889 593
.4301 765 .2125 807 .2897 573
.4325 797 .2140 812 .2907 567
.4334 794 .2169 828 .2915 542
.4379 780 .2178 835 .2924 547
.4389 795 .2187 860 .2933 542
.4396 765 .2192 834 .2946 505
.4403 800 .2200 828 .2958 516
.4421 777 .2209 815 .2971 527
.4430 798 .2235 824 .2980 480
.4458 806 .2244 827 .2993 504
.4466 790 .2253 851 .3001 516
.4473 818 .2263 835 .3029 444
.4482 783 .2272 805 .3038 479
.4490 813 .2280 787 .3045 477
.4497 741 .2288 812 .3058 469
.4506 765 .2295 802 .3070 455
.4526 818 .2305 829 .3082 456
.4536 801 .2312 811 .3095 452
.4774 792 .2322 835 .3104 444
.4781 796 .2327 822 .3114 466
.4789 800 .2356 839 .3125 456
.4795 801 .2365 834 .3168 411
.4803 798 .2495 768 .3178 404
.4810 819 .2504 775 .3194 405
.4819 826 .2517 697 .3205 387
.4828 815 .2526 739 .3217 412
.4844 819 .2538 758 .3228 417
.4872 770 .2551 750 .3238 424
.4879 765 .2560 758 .3248 423
.4890 782 .2571 721 .3259 410
.4901 787 .2583 751 .3272 407
.4909 813 .2610 738 .3286 415
.4916 791 .2621 723 .3294 425
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3305 391 .4020 336 .4633 440
.3315 398 .4030 319 .4647 447
.3331 420 .4040 340 .4656 464
.3390 389 .4050 348 .4668 434
.3402 374 .4060 343 .4676 448
.3416 395 .4069 332 .4687 470
.3425 390 .4076 336 .4697 479
.3435 374 .4082 345 .4708 488
.3443 371 .4089 345 .4718 486
.3451 366 .4099 339 .4747 519
.3459 373 .4106 340 .4757 454
.3468 372 .4115 337 .4765 455
.3478 365 .4143 337 .4773 470
.3487 378 .4151 347 .4782 502
.3497 365 .4161 351 .4790 551
.3525 374: .4171 356 .4800 508
.3534 395: .4180 359 .4810 538
.3544 359: .4189 348 .4821 513
.3574 387: .4197 337 .4830 530
.3584 389: .4206 344
.3592 372: .4215 331 8382.3078 626
.3600 397: .4223 366 .3092 630
.3609 403: .4230 377 .3102 607
.3617 429: .4238 341 .3118 611
.3626 406: .4248 366 .3123 616
.3636 403: .4278 426 .3133 591
.3646 409: .4286 345 .3145 574
.3655 408: .4296 351 .3167 586
.3666 403: .4306 366 .3178 567
.3675 408: .4314 355 .3189 580
.3715 400: .4325 359 .3222 546
.3724 399: .4353 393 .3236 510
.3735 391: .4362 386 .3246 529
.3744 392: .4371 388 .3254 531
.3754 392: .4380 376 .3259 551
.3764 386: .4389 404 .3277 537
.3774 365 .4398 404 .3287 518
.3786 363: .4410 402 .3293 532
.3796 366: .4442 370 .3302 520
.3807 385: .4452 398 .3311 517
.3817 386: .4460 396 .3342 500
.3829 378 .4470 391 .3355 482
.3878 392: .4478 392 .3362 502
.3886 390: .4489 389 .3370 490
.3894 392: .4498 422 .3377 505
.3903 373: .4508 389 .3396 451
.3912 374: .4517 400 .3408 466
.3920 387: .4525 399 .3416 458
.3928 383: .4533 399 .3426 481
.3937 367: .4544 435 .3437 461
.3945 346: .4559 415 .3447 491
.3952 396: .4567 423 .3456 494
.3961 380: .4599 401 .3539 418
.3972 352: .4609 421 .3550 435
.3980 365: .4617 433 .3560 418
.3988 352: .4625 416 .3571 421
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3581 438 .3510 368 .4272 505
.3592 443 .3522 352 .4283 537
.3603 450 .3534 343 .4294 533
.3616 423 .3547 333 .4305 529
.3627 418 .3556 333
.3639 434 .3568 338 8395.2094 514
.3651 422 .3578 333 .2103 502
.3662 449 .3587 351 .2112 513
.3697 418 .3596 313 .2136 480
.3711 403 .3630 332 .2144 493
.3729 399 .3639 331 .2151 485
.3739 431 .3650 338 .2157 511
.3749 422 .3658 343 .2164 484
.3763 368 .3669 326 .2171 493
.3778 383 .3678 331 .2179 485
.3787 376 .3688 326 .2206 450
.3798 394 .3698 339 .2212 471
.3810 396 .3711 352 .2220 480
.3846 345 .3724 359 .2227 477
.3854 338 .3761 356 .2234 473
.3864 366 .3773 341 .2242 454
.3874 372 .3784 371 .2249 458
.3888 359 .3792 364 .2273 437
.3894 368 .3805 357 .2288 456
.3903 341 .3817 350 .2304 468
.3915 370 .3829 380 .2311 442
.3926 341 .3839 368 .2319 456
.3935 332 .3849 396 .2326 455
.3944 337 .3860 368 .2339 448
.3954 332 .3871 391
.3962 357 .3882 393 8399.2069 335:
.3989 304 .3920 392 .2077 343:
.4000 322 .3937 374 .2085 368:
.4010 324 .3948 394 .2093 333:
.4019 322 .3962 395 .2102 344:
.4030 324 .3976 432 .2110 399:
.4040 328 .3985 402 .2120 333:
.4051 291 .3996 420 .2127 341:
.4062 301 .4003 424 .2138 372:
.4073 323 .4010 402 .2148 337:
.4020 405 .2197 329:
8393.3356 335 .4034 423 .2354 357:
.3364 332 .4047 424 .2364 340:
.3374 348 .4059 433 .2375 342:
.3381 354 .4119 455 .2386 360:
.3390 344 .4132 457 .2396 367:
.3400 335 .4144 455 .2406 364:
.3411 344 .4155 436 .2417 363:
.3419 360 .4167 491 .2426 361:
.3428 336 .4181 468 .2437 401:
.3436 349 .4192 508 .2482 386:
.3446 325 .4201 502 .2492 403:
.3455 342 .4210 514 .2503 379:
.3482 346 .4215 498 .2513 394:
.3492 350 .4224 495 .2522 380:
.3501 354 .4235 504 .2531 425:
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.2552 413: .3761 810: .3587 346
.2562 430: .3772 776: .3601 353
.2573 392: .3783 767: .3613 340
.2590 442: .3791 800: .3669 352
.2598 452: .3801 793: .3682 322
.2607 443: .3810 829: .3694 320
.2619 438: .3821 795: .3705 320
.2629 410: .3716 355
.2957 526: 8400.2905 481 .3727 361
.2967 525: .2915 462 .3738 333
.2978 525: .2923 444 .3748 355
.2998 547: .2931 441 .3760 359
.3007 512: .2942 422 .3770 329
.3020 541: .2950 436 .3783 349
.3031 541: .2959 458 .3796 324
.3045 530: .2966 472 .3842 311
.3055 522: .2973 457 .3850 333
.3063 546: .2982 464 .3860 310
.3074 558: .3021 424 .3872 308
.3088 551: .3030 455 .3884 328
.3138 534: .3050 452 .3895 334
.3151 524: .3059 446 .3906 323
.3161 546: .3070 409 .3919 325
.3172 545: .3079 424 .3925 320
.3180 587: .3092 430 .3936 333
.3191 570: .3103 421 .3946 349
.3201 596: .3115 459 .3959 318
.3211 610: .3126 415 .3970 294
.3221 607: .3137 414 .4021 325
.3242 637: .3148 402 .4033 309
.3253 645: .3162 393 .4045 311
.3331 660: .3174 417 .4057 319
.3353 659: .3185 413 .4068 337
.3369 668: .3248 404 .4082 333
.3381 680: .3261 405 .4095 345
.3391 634: .3270 407 .4104 336
.3420 658: .3280 405 .4117 345
.3432 663: .3292 401 .4127 337
.3442 691: .3303 395 .4140 342
.3451 690: .3315 374 .4151 357
.3461 741: .3330 391
.3548 705: .3344 384 8402.3063 381
.3561 740: .3354 380 .3072 365
.3577 743: .3368 377 .3082 368
.3589 733: .3380 403 .3093 374
.3599 748: .3410 374 .3102 369
.3611 785: .3418 345 .3115 347
.3621 730: .3470 367 .3124 352
.3644 776: .3480 359 .3135 349
.3654 791: .3492 372 .3145 358
.3666 765: .3501 360 .3155 355
.3676 770: .3515 377 .3165 378
.3718 802: .3534 368 .3176 366
.3729 798: .3552 348 .3217 347
.3739 760: .3564 357 .3238 348
.3750 763: .3577 349 .3249 362
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3260 347 .4018 445 .2585 797
.3273 342 .4073 497 .2596 760
.3286 328 .4083 462 .2604 743
.3299 329 .4094 457 .2610 748
.3309 364 .4107 476 .2618 755
.3321 343 .4117 473 .2626 759
.3335 373 .4132 472 .2635 736
.3348 358 .4147 503 .2643 759
.3391 336 .4160 510 .2650 753
.3403 318 .4174 489 .2658 775
.3414 325 .4185 490 .2671 756
.3440 318 .4198 493 .2710 708
.3449 323 .2718 700
.3460 323 8406.2503 339 .2725 666
.3471 330 .2507 355 .2733 681
.3481 330 .2515 354 .2740 663
.3488 323 .2522 347 .2747 661
.3496 328 .2530 358 .2754 668
.3504 323 .2537 361 .2761 704
.3557 358 .2544 360 .2768 691
.3566 350 .2550 380 .2775 702
.3576 374 .2557 375 .2782 700
.3585 363 .2564 368 .2789 675
.3592 332 .2571 392 .2797 696
.3603 330 .2577 395 .2806 677
.3614 355 .2583 406 .2840 654
.3621 346 .2589 373 .2850 604
.3632 333 .2863 576
.3643 355 8407.2238 806 .2872 581
.3651 371 .2251 841 .2882 575
.3661 391 .2259 809 .2890 576
.3670 386 .2293 782 .2899 578
.3682 357 .2301 812 .2907 581
.3723 372 .2309 784 .2915 562
.3732 355 .2316 800 .2924 548
.3757 398 .2343 773 .2932 539
.3769 379 .2357 829 .2940 551
.3793 386 .2364 830 .2947 537
.3804 405 .2371 804 .2956 544
.3815 397 .2377 795 .3082 467
.3823 385 .2381 785 .3089 465
.3833 375 .2391 804 .3099 434
.3844 380 .2405 785 .3106 496
.3887 423 .2412 807 .3113 487
.3896 419 .2423 821 .3120 482
.3909 427 .2449 805 .3127 461
.3920 426 .2461 819
.3930 398 .2469 809 8415.3287 664
.3942 433 .2478 795 .3296 634
.3951 422 .2488 800 .3303 642
.3959 434 .2504 787 .3311 658
.3970 430 .2520 747 .3318 658
.3979 418 .2528 777 .3324 656
.3988 459 .2534 786 .3331 653
.3997 422 .2542 790 .3337 686
.4008 410 .2578 778 .3344 683
J.D.hel Delta m J.D.hel Delta m J.D.hel Delta m
243.... 243.... 243....
.3375 674 .3610 724 .3831 792
.3383 691 .3618 720 .3838 793
.3389 666 .3629 737 .3847 797
.3397 664 .3654 727 .3854 782
.3405 672 .3661 734 .3861 787
.3411 662 .3667 743
.3427 691 .3674 749 8418.3720 405
.3435 688 .3678 758 .3727 377
.3476 695 .3684 743 .3733 408
.3483 704 .3691 734 .3742 397
.3490 695 .3698 759 .3749 394
.3497 705 .3704 737 .3755 403
.3503 716 .3711 747 .3762 426
.3515 730 .3742 748 .3770 400
.3521 701 .3748 754 .3777 402
.3528 720 .3755 742 .3787 408
.3553 730 .3762 747 .3791 422
.3562 736 .3769 743 .3818 425
.3576 716 .3776 769 .3826 452
.3583 710 .3783 749 .3832 459
.3589 706 .3791 766 .3842 452
.3596 714 .3800 782 .3849 466
.3603 724 .3808 776 .3856 484
In conclusion, the author would like to thank Director Prof. Dr. L. Detre
for making possible his stay at the Konkoly Observatory in Budapest and for
many advices and stimulating discussions. He also thanks members of the
Astronomical Institute of the Slovak Academy of Sciences at Skalnaté Pleso,
particularly L. Petrík, J. Petras and I. Petras for their untiring help in the
observations.
Budapest-Szabadsághegy, 1964 April
REFERENCES
1. Detre, L. 1934, AN 251, 28.
2. Dezső, L. 1945, Contrib. Konkoly Obs. No. 20, Budapest. CoKon 20
3. Eggen, O. J. 1964, Royal Obs. Bull. No. 84. p. E 127.
4. Gaposhkin, S. 1952, Harv. Ann. 118, 18; 171.
6. Leavitt, H. S. 1923, Harv. Bull. 790.
6. Lozinsky, A. M. 1952, Soob. Astr. Inst. Sternberga, Moscow, Nr. 81, 20.
7. Pelishenko, E. I. 1949, Izv. Astr. Obs. Odessa, Vol. II 1st issue.
8. Preston, G. W. 1959, Ap. J., 130, 507.
9. Zessevitch, V. P. 1924, AN 223, 154.