CC BY
6Peremennye Zvezdy ( Variable ¡Stars) 43, No. 5, 2023 Received 12 May; accepted 5 June.
DOI: 10.24412/2221-0474-2023-43-33-49
A photometric study of
the eclipsing binary system V359 Herculis
V. S. Kozyreva1, A. V. Kusakin2, A. I. Bogomazov1, Ch. T. Omarov2
1 M. V. Lomonosov Moscow State University, P. K. Sternberg Astronomical Institute, 119234, Universitetskij prospect, 13, Moscow, Russia
2 National Space Agency, V. G. Fesenkov Astrophysical Institute, 050020, Observatory, 23, Almaty, Kazakhstan
We performed timing of eclipses of the binary system V359 Her and found evidence in favor of the existence of light-time effect in the system. It can indicate the presence of a third body with the lower limit of mass ~ 0.5M©, its orbital period being about 24 yr. We also estimated the rate of mass transfer between the components as 0.5 x 10~8 - 1.5 x 10~7M©/yr. For this purpose, we used times of minima from literature, from our observations, and from light curves obtained by the TESS satellite.
We study the eclipsing binary V359 Her using times of its brightness minima.
Our own observations of the system were performed in 2003-2007 at the Crimean Station of Moscow State University using a Zeiss-600 telescope with a photomultiplier tube, in the V filter. The comparison star was TYC 3071-919-1, the check star was TYC 3071-656-1. Data processing was made using MERLIN code by V. G. Kornilov (there is no published description of this program). Subsequent observations were conducted using the same telescope and CCD matrices. For a part of observations in 2007 in the V filter, we used an Apogee CCD; in 2021, in the V, R filters, we used a FLI CCD. For data reductions, we applied the MAXIM DL3 and MAXIM DL5 codes; TYC 3071-656-1 served as the comparison star and TYC 2602-684-1, as the check star.
As the first approximation for calculations of times of minima, we use the following linear ephemeris:
Min I = T0 + P0 x E, (1)
where Min I is the calculated time of the primary minimum, T0 = HJD 2457131.3885 is the initial epoch, P0 = 1"?7557708 is the orbital period, E is the number of orbital cycles after the initial epoch. For our calculations, we used only primary minima. They are taken from the literature1 and derived from our observations and from light curves obtained by the TESS satellite2. Secondary minima of the system are very shallow, their depth is < 0.1 mag, and they are not symmetric. In the TESS light curves, the shape of the secondary minimum seems to slightly change during two years (2020-2022). This can indicate an active mass transfer in the system.
The spectral types, mass ratio, semi-major axis, masses and radii of stars in V359 Her are poorly known. Appropriate data can be found in the catalogues: Brancewicz &
1 B.R.N.O. database, http://var2.astro.cz/ocgate/?lang=en.
2 Files from MAST archive: tess2020133194932-s0025-0000000072839144-0182-sJc.fits and tess2022112184951-s0051-
0000000072839144-0223-sJc.fits.
Dworak (1980), Svechnikov & Kuznetsova (1990), Svechnikov & Perevozkina (1999). According to Svechnikov & Kuznetsova (1990), the mass ratio is M2/M1 = 0.32, the semimajor axis is a = 7.6R©, radii of stars are R1 = 1.6R©, R2 = 2.1R©, spectral types of the components are F0V+G9IV. Most likely, these values were obtained using theoretical considerations, the catalogues do not contain references to other papers for this particular binary system. Brancewicz & Dworak (1980) give somewhat different values, the most different of them is the mass ratio (0.86). In our study, we use system parameters from Svechnikov & Kuznetsova (1990); times of minima were computed using the code by Kozyreva & Zakharov (2001). Minima in the light curves are symmetric with respect to the phase 0.
0.3
0.2
<n
fr 0.1 ■o
O
O 0.0 -0.1
-0.2
5000 15000 25000 35000 45000 55000 65000
HJD - 2 400 000
Figure 1.
(O-C)1 diagram for V359 Her. O is the observed minimum of the light curve, C is the minimum calculated using eq. (1). "Theory" is the quadratic fit (secular period change), eq. 2.
_ • - Theory . • Observations
• • •
. •• • • __ M 1 •
% • ^^»iîl« - •*. '.»• — • . . • •
i • . i.i.i • _
Figure 1 shows the (O-C)1 diagram for observed times of minima (O) and calculated times of minima (C, eq. 1). Using iterations, we fitted it with a parabolic function that reflects the secular change of the orbital period:
Min I = (Tq + 6TQ) + (Po + 8Po) x E + P x E2, (2)
where 5Tq = -0.00205 ± 0.0015 d, 8Po = 6.02 x 10"7 ± 3 x 10"7 d, p = (3.0 ± 1.6) x 10"10 d/period « (6.2 ± 3.1) x 10"8 d/year.
The secondary star is leaving the main sequence and almost fills its Roche lobe. The system is old, the circularization of the orbit has been finished. Using Paczynski-Huang equation (Paczynski, 1966; Huang, 1966) and the derivative of the orbital period of V359 Her (see above), the calculated mass transfer rate is found to be ~ 0.5 x 10_8M©/yr for system parameters from Svechnikov & Kuznetsova (1990) and ~ 1.3 x 10_7M©/yr for system parameters from Brancewicz & Dworak (1980). More complicated approaches and equations (e.g., such as those suggested by Medvedeva, 2013) are not useful due to high uncertainties of estimates of the system parameters.
Figure 2.
(O-C)2 diagram for V359 Her. O is the observed minimum of the light curve, C is the time of minimum calculated using eq. 2. "Theory" is the light equation, eq. 3.
Residuals for minima obtained after 1995 (with relatively low errors) show a possible presence of a light-time effect (light equation) due to the gravitational influence of a putative third body. Figure 2 shows the (O-C)2 diagram for observed times of minima (O) and calculated values (C, eq. 2). They can be fitted with the equation:
(O-C)2 = sin E' cos u + cos E' sin u, (3)
where A1 = 0d018 ± 0d0010 is the amplitude of the light equation, e3 = 0.40 ± 0.10 is the eccentricity of the orbit of the third body, P3 = 8915 ± 150 d is its orbital period, u = 2° ± 3° is its longitude of the ascending node. The epoch of the periastron passage by the third body is Tp = 2444090 ± 150 d, E' is the eccentric anomaly. The lower limit of the mass of the third body is ~ 0.5MQ assuming parameters of the central binary from Svechnikov & Kuznetsova (1990).
Figure 3 shows the light equation curve for the whole set of observational data. It can be clearly seen that old data are not apt for the search for the influence of the third body due to the high scatter of observational points. Modern ground-determined and space-determined times of minima made such study possible.
Times of minima obtained from our observations and from TESS light curves can be found in Table 1. Table 2 lists our observations.
Acknowledgments
This research has made use of the SIMBAD database (operated at CDS, Strasbourg, France) and of NASA's Astrophysics Data System. Some of the data presented in this paper were obtained from the Mikulski Archive for Space Telescopes (MAST). This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09259383).
0.3
0.2
05
ta 0.1
T3
OJ
o à 0.0
-0.1
-0.2
5000 15000 25000 35000 45000 55000 65000
Date, HJD - 2 400 000
Figure 3.
Same as Fig. 2, for all available observations. References:
Brancewicz, H. K., Dworak, T. Z., 1980, Acta Astronomica, 30, 501 Huang, S.-S., 1966, Annual Rev. of Astron. & Astrophys., 4, 35 Kozyreva, V. S., Zakharov, A. I., 2001, Astronomy Letters, 27, 712 Medvedeva, A. A., 2013, Moscow University Physics Bulletin, 68, 76 Paczynski, B., 1966, Acta Astronomica, 16, 231
Svechnikov, M. A., Kuznetsova, Eh. F., 1990, Catalogue of approximate photometric and absolute elements of eclipsing variable stars, Vols. 1-2, Sverdlovsk, Ural University Svechnikov, M. A., Perevozkina, E. L., 1999, Catalogue of orbital elements, masses and luminosities of eclipsing variable stars (detached main-sequence type) with known photometric and spectroscopic elements, Ekaterinbourg, Ural University (VizieR Online Data Catalog: V/121)
- Theory
• Observations
\ • •
i
Table 1: Times of primary minima (Min I) of V359 Her obtained in the present study and derived from TESS light curves
HJD-2400000 (0 - C)1 (0 - C)2 Reference
52775.3105 0.0002 -0.0079 This study, V
53126.4621 0.0003 -0.0105 This study, V
53521.5087 0.0012 -0.0123 This study, V
54234.3515 0.0040 -0.0125 This study, V
55010.39850 -0.0005 -0.0162 This study, V
58983.73870 0.00043 0.01467 TESS
58985.49410 0.00006 0.01434 TESS
58987.24990 0.00010 0.01431 TESS
58989.00570 0.00014 0.01439 TESS
58990.76160 0.00028 0.01449 TESS
58992.51740 0.00032 0.01458 TESS
58994.27320 0.00036 0.01462 TESS
58997.78450 0.00014 0.01435 TESS
58999.54030 0.00017 0.01434 TESS
59001.29590 0.00001 0.01422 TESS
59003.05180 0.00015 0.01435 TESS
59004.80760 0.00019 0.01433 TESS
59006.56330 0.00013 0.01427 TESS
59008.31920 0.00027 0.01436 TESS
59396.3400 -0.00184 0.0099 This study, V
59396.3403 -0.00154 0.0102 This study, R
59694.82050 -0.00016 0.00936 TESS
59696.57620 -0.00022 0.00927 TESS
59698.33210 -0.00007 0.00935 TESS
59700.08780 -0.00013 0.00936 TESS
59701.84350 -0.00019 0.00920 TESS
59703.59910 -0.00035 0.00911 TESS
59707.11100 0.00004 0.00942 TESS
59708.86670 -0.00002 0.00935 TESS
59710.62240 -0.00007 0.00926 TESS
59712.37790 -0.00033 0.00905 TESS
59714.13370 -0.00029 0.00909 TESS
59715.88960 -0.00015 0.00915 TESS
Table 2: Ground-based photometric observations of V359 Her obtained in the present study. Am is the differential magnitude of V359 Her with respect to the comparison star (TYC 3071-919-1, TYC 3071-656-1) in the V and R filters.
HJD-2 400 000 Am HJD-2 400 000 Am HJD-2 400 000 Am
TYC 3071-919-1, V
52775.37692 0.33000 52797.35028 -0.03100 52797.42677 -0.06300
52775.39067 0.28300 52797.35291 -0.01600 52797.42717 -0.07100
52775.39400 0.25600 52797.35493 -0.02800 52797.42896 -0.06200
52775.39794 0.24300 52797.35791 -0.02400 52797.42945 -0.06500
52775.40615 0.19000 52797.35834 -0.02500 52797.42993 -0.05900
52775.41025 0.16500 52797.35882 -0.02000 52797.43402 -0.06300
52775.41466 0.13400 52797.36321 -0.02900 52797.43446 -0.06500
52775.41741 0.12700 52797.36739 -0.03000 52797.43695 -0.06800
52775.42032 0.11100 52797.37022 -0.04600 52797.43735 -0.07700
52775.42507 0.10600 52797.37328 -0.03800 52797.44012 -0.07200
52775.42907 0.09900 52797.37371 -0.03500 52797.44061 -0.07900
52775.43374 0.10700 52797.37629 -0.01800 52797.44108 -0.07200
52775.43841 0.04800 52797.37667 -0.03200 52797.44461 -0.06300
52775.44422 0.02800 52797.37954 -0.04700 52797.44499 -0.06600
52775.44789 0.02600 52797.37991 -0.04100 52797.44717 -0.07600
52775.45215 0.01400 52797.38170 -0.05000 52797.44756 -0.08100
52775.45735 0.00900 52797.38219 -0.05100 52797.45032 -0.06200
52775.46212 -0.00300 52797.38266 -0.04900 52797.45070 -0.06600
52775.48527 -0.05100 52797.38640 -0.05500 52797.45314 -0.06400
52775.49215 -0.06300 52797.38680 -0.03400 52797.45351 -0.06900
52775.49671 -0.06800 52797.38733 -0.02900 52797.45570 -0.06800
52775.50200 -0.06000 52797.38991 -0.03800 52797.45610 -0.06200
52775.50548 -0.05000 52797.39033 -0.01500 52797.46239 -0.06200
52775.51330 -0.04900 52797.39240 -0.06100 52797.46861 -0.07000
52775.51810 -0.08400 52797.39585 -0.04800 52797.47180 -0.07000
52775.52171 -0.06600 52797.39597 -0.04300 52797.47221 -0.06900
52775.52496 -0.09100 52797.39956 -0.05000 52797.47276 -0.07400
52782.44183 0.20900 52797.40124 -0.05900 52797.47795 -0.06500
52782.44545 0.10700 52797.40153 -0.06100 52800.33517 -0.10100
52797.31057 0.02700 52797.40202 -0.06700 52800.36205 -0.09400
52797.31348 0.03600 52797.40243 -0.06100 52800.45385 -0.09300
52797.31623 -0.00800 52797.40662 -0.05700 52800.45471 -0.09600
52797.31673 -0.00600 52797.40702 -0.05300 52800.45545 -0.09900
52797.31993 -0.02400 52797.40927 -0.06300 52800.45824 -0.10000
52797.32234 -0.02900 52797.40964 -0.06600 52801.34207 -0.08000
52797.32448 -0.03500 52797.41343 -0.05400 52801.34483 -0.09100
52797.32491 -0.03000 52797.41389 -0.05500 52801.34713 -0.08100
52797.32809 -0.01800 52797.41668 -0.05900 52801.34979 -0.06700
52797.33100 -0.02800 52797.41866 -0.05800 52801.35340 -0.07300
52797.33148 -0.02700 52797.41902 -0.05400 52801.35720 -0.08100
52797.33197 -0.02500 52797.41939 -0.05300 52801.36758 -0.07600
52797.33618 -0.02400 52797.41975 -0.06100
52797.33992 -0.03200 52797.42011 -0.05800
HJD-2 400 000 Am HJD-2 400 000
Am HJD-2 400 000 Am
0.43300 53126.49730 0.46300
0.49300 53126.49850 0.42400
0.49700 53126.49980 0.46700
0.53400 53126.50110 0.43800
0.51400 53126.50230 0.42700
0.49200 53126.50360 0.43500
0.47000 53126.50490 0.41900
0.51700 53126.50620 0.42200
0.50200 53126.50740 0.42800
0.51100 53126.50870 0.43100
0.50200 53126.51000 0.40800
0.52700 53126.51130 0.41400
0.52400 53126.51250 0.39100
0.52100 53126.51380 0.40600
0.52400 53126.51510 0.35000
0.54600 53126.51630 0.40000
0.50600 53126.51760 0.36600
0.51500 53126.51890 0.38300
0.52500 53126.52020 0.36700
0.53400 53126.52140 0.35000
0.53700 53126.52270 0.33400
0.48700 53126.52400 0.34300
0.52400 53126.52520 0.34500
0.54100 53126.53010 0.30000
0.53100 53126.53140 0.32100
0.49900 53126.53260 0.31700
0.48500 53126.53390 0.30400
0.51100 53126.53520 0.28000
0.51000 53126.53640 0.26000
0.52100 53126.53770 0.26900
0.52100 53126.53900 0.29800
0.53000 53126.54030 0.25500
0.51800 53126.54150 0.28200
0.49000 53126.54280 0.23500
0.55700 53126.54410 0.26300
0.50800 53126.54530 0.21700
0.53500 53126.54660 0.25400
0.51300 53126.54790 0.24600
0.47600 53126.54920 0.22900
0.49900 53126.55040 0.20400
0.49500 53126.55170 0.20900
0.48900 53126.55300 0.19900
0.47200 53126.55420 0.19800
0.46300 53126.55550 0.16400
0.47200 53126.55680 0.17800
0.48100 53126.55810 0.19900
53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126
36590 36720 36850 36970 37100 .37230 .37850 .37980 .38100 .38230 .38360 .38480 .38610 38740 38870 38990 39120 39250 39370 39500 40010 40140 .40260 .40390 .40520 .40800 .40930 .41060 .41180 .41310 .41440 41570 41690 41820 41950 42070 42200 42330 42460 .42590 .42710 .42840 .42970 .43090 .43370 .43500
0.12700 0.14700 0.14700 0.15600 0.18600 0.14600 0.19300 0.21300 0.17500 0.19800 0.21100 0.20400 0.21700 0.26500 0.24900 0.25800 0.27600 0.26800 0.29500 0.25500 0.29800 0.34300 0.31200 0.32500 0.33000 0.40200 0.37400 0.35900 0.44300 0.42500 0.39700 0.39300 0.40400 0.37000 0.39000 0.42000 0.45200 0.43000 0.40900 0.44000 0.44100 0.47300 0.45700 0.48500 0.46000 0.49900
53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126 53126
43620 43750 43880 44010 44130 .44260 .44390 .44510 .44640 .44770 .44890 .45020 .45150 45280 45400 45530 45660 45780 45910 46040 46170 46290 .46420 .46550 .46800 .46930 .47060 .47180 .47310 .47440 .47560 47820 47950 48070 48200 48330 48450 48580 48710 .48840 .48960 .49090 .49220 .49340 .49470 .49600
53127 53127 53127 53127 53127 53127 53127 53127 53127 53127 53127 53127 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53147 53509 53509 53509 53509 53509 53509
29670 31220 32520 33790 35060 .36330 .39490 .41600 .42760 .44020 .45300 .46570 .37120 37240 37370 37760 37880 38370 38490 38620 38750 38870 .39000 .39130 .39260 .39380 .39510 .39640 .39760 .39890 .40020 40150 40270 40400 43090 43210 43340 43470 43600 .43720 .30663 .31394 .32080 .32470 .32749 .33322
0.00700 0.00400 0.00600 0.00200 0.00500 0.00000 0.02600 0.00300 0.00000 0.01100 0.02100 0.02400 0.05600 0.03800 0.05700 0.04400 0.05500 0.01900 0.03800 0.01300 0.02600 0.00900 0.01500 0.01100 0.00700 0.00700 0.01200 0.00200 0.02500 0.01600 0.02900 0.01600 0.03000 0.02700 0.15000 0.13100 0.16200 0.14900 0.15200 0.15800 0.19300 0.16600 0.14300 0.11700 0.11300 0.08800
53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53509 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516 53516
33734 34048 34342 34774 35996 .36408 .37176 .37790 .38336 .38580 .39304 .39766 .40033 40318 40650 41035 41525 42838 44903 46005 31872 32261 .33086 .34406 .35177 .35493 .35736 .35919 .36121 .36354 .36797 37107 37495 37964 38246 38504 38747 39273 39563 .40083 .40525 .40848 .41066 .41601 .42612 .42788
0.08200 0.06400 0.05000 0.03000 0.00200 0.00100 0.01600 0.04100 0.05300 0.04400 0.06600 0.06800 0.06100 0.07500 0.06600 0.06900 0.06800 0.08300 0.09700 0.10000 0.25900 0.25700 0.22300 0.15700 0.11300 0.09700 0.08000 0.07700 0.06000 0.06100 0.04100 0.02200 0.01900 0.00100 0.00300 0.01500 0.01200 0.03400 0.04500 0.00800 0.02300 0.02200 0.03600 0.03500 0.08700 0.08700
53516 53516 53516 53516 53516 53516 53516 53516 53520 53520 53520 53520 53520 53520 53520 53520 53520
53520
53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53521 53527 53527 53527 53527 53527 53527 53529 53529
43219 43598 43923 44399 44592 .44790 .45066 .45266 .31128 .31727 .32665 .38326 .39185 40300 42157 43311 47083 47415 .33200 .33738 .34700 .39207 .39867 .42523 .44107 .44832 .45591 .46144 .46759 .47327 .47762 .48378 .48715 .49623 .50193 .50772 .51503 .52426 37858 .38500 .39006 .39242 .46058 .48460 .34039 .35356
0.07900 0.08100 0.07200 0.07500 0.07900 0.07700 0.08900 0.08700 0.11100 0.09500 0.11200 0.09000 0.09600 0.09300 0.10000 0.04800 0.11300 0.09800 0.06100 0.05900 0.03600 0.08500 0.11100 0.22400 0.30400 0.34700 0.37700 0.40100 0.43200 0.45600 0.47300 0.48800 0.50100 0.52500 0.51900 0.52400 0.49700 0.51200 0.07400 0.11700 0.12400 0.11200 0.09600 0.07600 0.01100 0.03700
53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53529 53534 53534 53534 53534 53534 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234
.35847 .36397 .36651 .36959 .37921 .38740 .38970 .39636 .39975 .40272 .41443 .41797 .42438 .43613 .44597 .45538 .46251 .46467 .47016 .47529 .48112 .48444 .48875 .49305 .49357 .49830 .33845 .34205 .34730 .35067 .35331 31826 32201 32662 34017 35936 36207 36604 36937 .37405 .37788 .38558 .39173 .39515 .39849 .40231
0.03700 0.03300 0.03200 0.02400 0.02900 0.01800 0.02000 0.01100 0.01800 0.01100 0.01000 0.01800 0.01200 0.00900 0.01300 0.02200 0.00500 0.02400 0.02500 0.02500 0.02100 0.03200 0.04200 0.03900 0.03900 0.04100 0.11900 0.12000 0.11700 0.11300 0.11000 0.45500 0.45500 0.49500 0.50800 0.48800 0.48200 0.49500 0.52600 0.47100 0.42500 0.42300 0.39900 0.37800 0.39900 0.36200
54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234 54234
54234
54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54235 54237 54237 54237 54237 54237 54242
41827 42169 42415 43083 43481 .43721 .43974 .43986 .43998 .44299 .44588 .44946 .45304 46865 47198 47480 47788 30952 31221 31531 31967 32366 .32698 .32985 .33337 .33557 .33938 .34177 .34611 .35690 .36075 37569 37959 38647 39047 39366 41361 41707 42037 .42672 .32250 .32706 .32962 .33607 .34099 .36633
0.30700 0.28700 0.29000 0.25500 0.24100 0.22300 0.21400 0.20600 0.19600 0.20400 0.18500 0.16600 0.12500 0.09000 0.06500 0.08200 0.05800 0.03500 0.01400 0.03500 0.03100 0.03300 0.04600 0.04600 0.05400 0.05700 0.05300 0.05200 0.05900 0.07200 0.07400 0.08400 0.08300 0.08200 0.09000 0.08000 0.07800 0.07700 0.07600 0.08400 0.12600 0.13000 0.12200 0.11900 0.11700 0.04900
54242 54242 54242 54242 54242 54242
54242
54243 54243 54243 54243 54243 54243 54243 54306 54306 54306
54306
54307
54307
54308 54308 54308
54308
54309 54309 54311 54311 54311
54311
54312 54312 54312 54948 54948 54948 54948 54948 54948 54948 54948 54948 55010 55010 55010 55010
37125 37419 37849 38409 38627 .39649 .39973 .28930 .29294 .29801 .30118 .30424 .31148 32148 44137 45040 46889 49730 32930 33400 29950 32778 .40294 .40538 .30027 .30785 .31112 .31740 .32230 .32509 .33768 34147 34397 30569 31953 33343 34792 36326 37832 .39107 .40241 .41402 .28696 .29319 .29738 .30153
0.04900 0.05100 0.05400 0.05800 0.07000 0.06400 0.04200 0.05600 0.02000 0.05200 0.04500 0.05300 0.05100 0.05400 0.13700 0.10500 0.05300 0.02600 0.04000 0.07700 0.05900 0.09000 0.10200 0.13200 0.09700 0.09000 0.08900 0.11500 0.11900 0.07100 0.06500 0.06700 0.05400 0.07345 0.08055 0.09682 0.08745 0.10555 0.09745 0.10182 0.10309 0.10855 0.09350 0.10480 0.11890 0.14530
55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010 55010
59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386. 59386.
.30539 .30957 .31363 .31776 .32127 .32518 .32898 .33260 .33629 .34206 .34579 .34906 .35233 .35560 .35909 .36271 .36618 .36945 .37313 .37681 .38009 .38336 .38663 .39020
29097 29210 29265 29322 29377 29454 29536 29617 29699 29781 29864 29945 30027 30132 30214 30295 30377 30460 30541 30623 30705 30786 30868
0.16920 0.19240 0.21450 0.23320 0.24450 0.26250 0.28820 0.30180 0.32710 0.34740 0.36570 0.38050 0.39310 0.40620 0.42450 0.43270 0.45790 0.46960 0.48820 0.49710 0.50770 0.51140 0.52730 0.53260
0.11500 0.10300 0.11100 0.10900 0.10100 0.11500 0.11100 0.11500 0.11700 0.11300 0.10300 0.11600 0.10600 0.11300 0.10700 0.10800 0.10700 0.10500 0.11300 0.10400 0.10600 0.10700 0.10500
55010.39350 55010.39712 55010.40072 55010.40436 55010.40800 55010.41146 55010.41516 55010.41846 55010.42232 55010.43029 55010.43375 55010.43702 55010.44062 55010.44422 55010.44749 55010.45076 55010.45403 55010.45730 55010.46057 55010.46384 55010.46852 55010.47486 55010.47779 55010.48089
TYC 3071-65659386.30949 59386.31031 59386.31112 59386.31195 59386.31276 59386.31357 59386.31439 59386.31520 59386.31602 59386.31684 59386.31765 59386.31847 59386.31930 59386.32011 59386.32093 59386.32174 59386.32255 59386.32337 59386.32418 59386.32499 59386.32581 59386.32663 59386.32746
0.53760 0.53450 0.53620 0.53360 0.51620 0.50020 0.49330 0.49640 0.46900 0.44260 0.43310 0.42780 0.41360 0.39710 0.37770 0.36980 0.34980 0.34070 0.33340 0.32150 0.28770 0.24220 0.23740
0.22930
1, v 0.11000 0.10900 0.10500 0.10900 0.10800 0.11100 0.10300 0.11200 0.10700 0.10800 0.10600 0.11600 0.10500 0.10600 0.10300 0.10700 0.10500 0.10700 0.10600 0.10000 0.10400 0.11400 0.10400
55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55011 55016 55016 55016 55016 55016 55016 55016 55016
59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386
.28871 .29495 .30117 .30727 .31249 .31771 .32293 .32816 .33471 .36699 .39635 .40057 .40483 .40877 .41274 .41697 42342 42862 43435 44043 45243 45796 .46468 .46980
32827 32979 33038 33097 33155 33214 33272 33331 33389 33448 33506 33565 33623 33682 33740 33799 33858 33917 33976 34034 34421 34506 34564
0.01406 0.02131 0.01713 0.02038 0.01231 0.00119 0.00763 0.00363 0.00769 0.02231 0.03131 0.03075 0.03481 0.04619 0.05075 0.04863 0.06563 0.07587 0.06825 0.05292 0.07133 0.07342 0.06888 0.06071
0.11100 0.11700 0.10300 0.10300 0.10400 0.11700 0.11000 0.10400 0.11500 0.10800 0.10800 0.10800 0.10600 0.11400 0.12000 0.12200 0.11600 0.10800 0.11200 0.11600 0.10600 0.11100 0.10000
HJD-2 400 000
59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386 59386
.34623 .34682 .34741 .34799 .34858 .34917 .34976 .35034 .35093 .35151 .35210 .35268 .35327 .35384 .35443 .35501 .35560 .35618 .35677 .35736 .35794 .35853 .35911 .35970 .36028 .36087 .36145 .36204 .36262 .36321 .36380 .36438 .36497 .36555 .36614 .36671 .36730 .36788 .36847 .36906 .36965 .37024 .37082 .37141 .37200 .37259
0.10700 0.09300 0.10300 0.10000 0.10500 0.10500 0.10300 0.10400 0.10100 0.09200 0.10000 0.11900 0.10800 0.09800 0.10000 0.10500 0.10000 0.10300 0.09800 0.10300 0.10800 0.10300 0.09900 0.10500 0.09600 0.10700 0.11300 0.09700 0.10600 0.10700 0.10000 0.10100 0.10000 0.10800 0.11300 0.10300 0.10000 0.10400 0.11100 0.10600 0.10200 0.10500 0.09600 0.10600 0.09800 0.09500
59386 59386 59386 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
37317 37376 37435 27036 27133 .27329 .27426 .27523 .27620 .27719 .27816 .27913 .28010 28108 28206 28303 28400 28498 28596 28693 28791 28888 .28986 .29083 .29181 .29375 .29473 .29571 .29668 .29765 .29863 29961 30058 30155 30252 30351 30448 30545 30642 .30741 .30838 .30935 .31032 .31130 .31228 .31325
0.11000 0.10800 0.09900 0.06400 0.07900 0.07000 0.06700 0.06900 0.06100 0.06200 0.06800 0.06400 0.07300 0.06300 0.06400 0.07100 0.07000 0.06200 0.06400 0.05900 0.06700 0.06300 0.07400 0.06700 0.05800 0.06600 0.06600 0.06500 0.07200 0.06100 0.05700 0.07000 0.05400 0.05700 0.06300 0.06900 0.06000 0.05400 0.07400 0.06100 0.05400 0.06000 0.06200 0.05800 0.06100 0.06600
59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
31422 31422 31520 31520 31618 .31618 .31715 .31715 .31812 .31812 .31910 .31910 .32007 32007 32104 32203 32300 32397 32494 32591 32690 32787 .32884 .32981 .33080 .33177 .33274 .33372 .33469 .33566 .33663 33762 33859 33956 34053 34150 34248 34346 34443 .34541 .34638 .34735 .34833 .34931 .35028 .35125
0.05800 0.05800 0.05400 0.05500 0.05800 0.05900 0.05700 0.05800 0.05600 0.05600 0.05600 0.05600 0.05500 0.05500 0.05200 0.04600 0.05300 0.05200 0.04500 0.04900 0.04700 0.04700 0.04300 0.04200 0.04200 0.04300 0.03700 0.04100 0.04800 0.03800 0.04300 0.04500 0.03400 0.04500 0.03800 0.03700 0.03800 0.04200 0.04000 0.04000 0.04000 0.03200 0.03800 0.03500 0.03300 0.03100
59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
.35222 .35321 .35418 .35515 .35612 .35709 .35807 .35904 .36001 .36098 .36197 .36294 .36294 .36391 .36488 .36586 .36683 .36780 .36877 .36975 .37072 .37169 .37266 .37363 .37461 .37558 .37655 .37752 .37850 .37947 .38044 .38141 .38238 .38336 .38433 .38530 .38627 .38725 .38822 .38919 .39016 .39113 .39211 .39309 .39406 .39503
0.03900 0.03800 0.03100 0.03200 0.02600 0.02900 0.02700 0.03000 0.03000 0.02600 0.02600 0.02700 0.02700 0.01500 0.02000 0.01800 0.02300 0.01700 0.01400 0.01800 0.01500 0.02300 0.01400 0.01700 0.01800 0.01700 0.01300 0.01800 0.01100 0.01300 0.01700 0.00900 0.01100 0.00700 0.01100 0.00800 0.01300 0.01600 0.01000 0.00800 0.00700 0.01100 0.01200 0.00300 0.00500 0.00300
59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
39601 39698 39796 39894 39991 .40088 .40185 .40282 .40378 .40477 .40574 .40671 .40769 40866 40963 41060 41157 41255 41352 41449 41546 41664 .41727 .41789 .41852 .41914 .41977 .42041 .42103 .42166 .42229 42292 42354 42417 42480 42543 42606 42669 42731 .42795 .42856 .42920 .42983 .43045 .43108 .43171
0.01100 0.01100 0.00100 0.00600 0.00100 0.00100 0.00500 0.00100 0.00200 0.00600 0.00100 0.00200 0.00700 0.00600 0.01000 0.00400 0.00200 0.01000 0.00700 0.00900 0.01000 0.00700 0.00100 0.00000 0.00400 0.00500 0.00700 0.00600 0.00100 0.00700 0.00700 0.01100 0.00500 0.00100 0.00800 0.00700 0.00000 0.00600 0.00400 0.00500 0.00500 0.01000 0.00400 0.00900 0.00100 0.00100
59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
43233 43295 43359 43421 43484 .43546 .43609 .43671 .43735 .43797 .43860 .43924 .43986 44049 44112 44175 44238 44304 44367 44429 44492 44554 .44617 .44679 .44742 .44804 .44867 .44929 .44992 .45054 .45117 45179 45242 45304 45367 45429 45493 45556 45617 .45681 .45743 .45806 .45868 .45931 .45993 .46056
0.00300 0.00400 0.00700 0.00600 0.00300 0.00100 0.00800 0.01000 0.00300 0.01400 0.01100 0.00200 0.00200 0.00400 0.00300 0.00100 0.00600 0.00900 0.00700 0.00500 0.01000 0.00700 0.00100 0.01500 0.00800 0.00100 0.00100 0.00400 0.00500 0.00900 0.01700 0.00800 0.00500 0.01600 0.00800 0.00600 0.00300 0.00400 0.00600 0.00300 0.01700 0.00000 0.00400 0.01300 0.01300 0.00200
Am HJD-2 400 000
59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
46118 46182 46243 46307 46369 .46432 .46494 .46557 .46619 .46682 .46744 .46807 .46869 46933 46995 47058 47120 47183 47245 47308 47370 47434 .47497 .47559 .47622 .47684 .47747 .47809 .47872 .47934 .47997 48059 48122 48184 48247 48309 48373 48435 48498 .48560 .48623 .48685 .48748 .48810 .48873 .48935
0.00200 0.00200 0.00200 0.00300 0.00700 0.00900 0.00100 0.00100 0.01300 0.00400 0.00100 0.01000 0.00200 0.01600 0.01200 0.00000 0.00100 0.00800 0.00600 0.00200 0.00600 0.00400 0.00000 0.00500 0.00000 0.00600 0.00500 0.00500 0.01200 0.00500 0.00600 0.00300 0.00900 0.00900 0.01100 0.00400 0.01500 0.00100 0.00600 0.00800 0.01000 0.00100 0.00400 0.00600 0.00200 0.00500
59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395 59395
59395
59396 59396 59396 59396 59396 59396 59396 59396 59396
48998 49061 49124 49186 49249 .49310 .49373 .49436 .49498 .49560 .49623 .49685 .49748 49810 49873 49935 49998 50060 50123 50185 50248 50310 .50373 .50435 .50498 .50560 .50623 .50685 .50748 .50811 .50874 50936 50999 51061 51124 51186 51249 26889 27025 .27122 .27219 .27316 .27415 .27512 .27706 .27805
0.00400 0.00600 0.01400 0.01000 0.00500 0.00400 0.00100 0.00700 0.00100 0.00400 0.00400 0.00600 0.01800 0.01200 0.00900 0.01000 0.01300 0.00600 0.00200 0.01000 0.00700 0.00600 0.00100 0.00900 0.01000 0.00400 0.00500 0.00900 0.00700 0.02400 0.00300 0.00900 0.02300 0.00800 0.02600 0.02800 0.02100 0.31900 0.31500 0.32000 0.32100 0.32700 0.33600 0.34200 0.34800 0.35300
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
.27902 .27999 .28097 .28194 .28485 .28583 .28680 .28777 .28874 .28973 .29070 .29167 .29264 .29362 .29459 .29594 .29691 .29789 .29886 .29983 .30080 .30179 .30276 .30373 .30470 .30568 .30666 .30763 .30860 .30958 .31055 .31152 .31249 .31347 .31444 .31542 .31639 .31737 .31737 .31834 .31931 .32028 .32163 .32260 .32357 .32454
0.35900 0.36700 0.37100 0.37700 0.38700 0.38900 0.39700 0.40400 0.41000 0.41000 0.41200 0.41600 0.42600 0.43400 0.43500 0.43600 0.44800 0.45600 0.45400 0.45300 0.46500 0.46500 0.47100 0.47700 0.47900 0.48200 0.48400 0.49300 0.50100 0.50300 0.50500 0.50900 0.51400 0.51200 0.53100 0.52600 0.53600 0.52900 0.52800 0.52700 0.53200 0.54300 0.54100 0.54500 0.54600 0.55700
Am HJD-2 400 000 Am
0.55600 59396.36973 0.49900
0.56200 59396.37070 0.49300
0.56200 59396.37167 0.50200
0.55900 59396.37264 0.49700
0.56300 59396.37399 0.48300
0.56900 59396.37497 0.48600
0.56200 59396.37594 0.48000
0.56900 59396.37691 0.47900
0.57300 59396.37789 0.47300
0.56200 59396.37886 0.46700
0.55900 59396.37983 0.45800
0.56600 59396.38080 0.45900
0.56300 59396.38178 0.46600
0.57300 59396.38275 0.45300
0.57000 59396.38372 0.44400
0.56100 59396.38470 0.43400
0.56700 59396.38568 0.43400
0.57100 59396.38665 0.43100
0.56900 59396.38762 0.43400
0.56700 59396.38859 0.42100
0.57500 59396.38956 0.41600
0.56800 59396.39054 0.41300
0.55900 59396.39151 0.41700
0.56100 59396.39248 0.40300
0.56100 59396.39345 0.40000
0.56300 59396.39443 0.39900
0.55500 59396.39540 0.39600
0.56400 59396.39637 0.39200
0.55700 59396.39734 0.37800
0.55400 59396.39831 0.37700
0.55000 59396.39967 0.37200
0.54800 59396.40064 0.36700
0.54300 59396.40161 0.36500
0.54200 59396.40259 0.35200
0.53300 59396.40356 0.35600
0.53500 59396.40453 0.34500
0.53500 59396.40550 0.34100
0.53300 59396.40647 0.33600
0.53100 59396.40745 0.32900
0.52800 59396.40842 0.31600
0.51700 59396.40939 0.31700
0.51900 59396.41036 0.31600
0.51400 59396.41134 0.30400
0.51400 59396.41231 0.29900
0.51200 59396.41328 0.29100
0.50600 59396.41425 0.29200
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
32553 32650 32748 32845 32943 .33040 .33137 .33234 .33331 .33429 .33526 .33624 .33722 33819 33916 34014 34112 34209 34306 34403 34500 34598 .34732 .34829 .34928 .35025 .35122 .35222 .35319 .35416 .35513 35610 35708 35805 35902 35999 36097 36194 36291 .36389 .36487 .36584 .36681 .36681 .36778 .36875
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
41522 41620 41620 41717 41815 .41913 .42010 .42107 .42204 .42301 .42399 .42533 .42630 42727 42825 42922 43019 43116 43213 43311 43408 43505 .43602 .43700 .43797 .43894 .43991 .44186 .44283 .44380 .44477 44576 44673 44770 44867 44965 45099 45196 45293 .45391 .45489 .45586 .45683 .45781 .45878 .45975
0.28400 0.27600 0.27500 0.27300 0.27600 0.26200 0.24900 0.25400 0.24900 0.24200 0.24300 0.23300 0.22900 0.22500 0.21700 0.21500 0.20600 0.20200 0.20200 0.19800 0.19800 0.19500 0.18300 0.17900 0.16900 0.16200 0.16800 0.16000 0.15600 0.14700 0.15000 0.14600 0.13800 0.13600 0.15100 0.13100 0.12800 0.11600 0.12900 0.11600 0.10700 0.10700 0.09800 0.09900 0.10800 0.08900
59396.46072 0.08400 59396.49710 -0.01000 59396.52946 -0.11500
59396.46169 0.09400 59396.49807 -0.01000 59396.53009 -0.12300
59396.46268 0.08400 59396.49904 -0.01700 59396.53070 -0.11200
59396.46365 0.09800 59396.50002 -0.03200 59396.53134 -0.12200
59396.46462 0.08800 59396.50766 -0.10200 59396.53196 -0.13700
59396.46559 0.07000 59396.50828 -0.09900 59396.53259 -0.12300
59396.46559 0.07100 59396.50895 -0.11300 59396.53321 -0.14400
59396.46657 0.06100 59396.50976 -0.09800 59396.53384 -0.13400
59396.46754 0.06400 59396.51055 -0.11200 59396.53446 -0.12500
59396.46851 0.05300 59396.51117 -0.09800 59396.53509 -0.12100
59396.46948 0.05100 59396.51193 -0.09600 59396.53571 -0.12400
59396.47046 0.05200 59396.51255 -0.10200 59396.53645 -0.11400
59396.47143 0.05400 59396.51318 -0.11000 59396.53678 -0.11200
59396.47240 0.04200 59396.51381 -0.10700 59396.53711 -0.10700
59396.47337 0.04400 59396.51444 -0.12000 59396.53744 -0.11500
59396.47434 0.04100 59396.51506 -0.12500 59396.53776 -0.11500
59396.47532 0.03600 59396.51569 -0.12200 59396.53808 -0.11500
59396.47629 0.03900 59396.51631 -0.12100 59396.53842 -0.11600
59396.47764 0.02600 59396.51694 -0.11800 59396.53874 -0.11000
59396.47862 0.03000 59396.51756 -0.12400 59396.53907 -0.10200
59396.47959 0.03500 59396.51819 -0.11400 59396.53939 -0.10200
59396.48056 0.04100 59396.51881 -0.13000 59396.53972 -0.13500
59396.48153 0.00800 59396.51944 -0.12500 59396.54005 -0.13700
59396.48250 0.00800 59396.52007 -0.11800 59396.54038 -0.11900
59396.48348 0.00700 59396.52069 -0.12100 59396.54070 -0.12000
59396.48445 0.01000 59396.52132 -0.12500 59396.54102 -0.12300
59396.48542 0.00800 59396.52195 -0.12500 59396.54136 -0.11100
59396.48639 0.00600 59396.52257 -0.11900 59396.54168 -0.10100
59396.48737 0.01100 59396.52320 -0.13100 59396.54201 -0.11000
59396.48834 0.01800 59396.52382 -0.13000 59396.54234 -0.10600
59396.48931 -0.00700 59396.52445 -0.12500 59396.54267 -0.11300
59396.49028 0.00600 59396.52507 -0.11200 59396.54299 -0.09600
59396.49125 0.00800 59396.52570 -0.12900 59396.54331 -0.12300
59396.49223 0.00100 59396.52632 -0.12000 59396.54365 -0.10600
59396.49320 -0.00600 59396.52696 -0.13800 59396.54397 -0.12500
59396.49417 -0.01400 59396.52759 -0.13000 59396.54430 -0.11800
59396.49514 -0.01900 59396.52821 -0.11100 59396.54463 -0.10900
59396.49613 -0.01700 59396.52884 -0.12200 59396.54496 -0.11700
TYC 3071-656-1, R
59396.27288 0.43200 59396.28066 0.46400 59396.28845 0.50700
59396.27385 0.43600 59396.28164 0.47600 59396.28943 0.50700
59396.27483 0.43900 59396.28262 0.48000 59396.29040 0.51000
59396.27580 0.44400 59396.28359 0.48000 59396.29137 0.51700
59396.27678 0.44700 59396.28456 0.48400 59396.29234 0.52400
59396.27775 0.44900 59396.28554 0.49600 59396.29331 0.52600
59396.27872 0.46200 59396.28651 0.49800 59396.29430 0.53500
59396.27969 0.45900 59396.28748 0.50300 59396.29564 0.54200
HJD-2 400 000 Am HJD-2 400 000
Am HJD-2 400 000 Am
0.65800 59396.38732 0.53300
0.66600 59396.38829 0.52100
0.65600 59396.38926 0.52300
0.66100 59396.39024 0.52000
0.65800 59396.39122 0.51100
0.65600 59396.39219 0.50500
0.66200 59396.39316 0.50300
0.65300 59396.39414 0.49800
0.64700 59396.39511 0.49500
0.65100 59396.39608 0.48100
0.65300 59396.39705 0.48500
0.64800 59396.39803 0.47400
0.64700 59396.39937 0.47000
0.65000 59396.40034 0.46300
0.64600 59396.40131 0.45700
0.64100 59396.40230 0.45900
0.63700 59396.40327 0.45000
0.63100 59396.40424 0.44600
0.63300 59396.40521 0.44300
0.62400 59396.40619 0.44000
0.62400 59396.40716 0.43100
0.62500 59396.40813 0.43000
0.62300 59396.40910 0.42600
0.62200 59396.41007 0.41500
0.62100 59396.41105 0.40900
0.61500 59396.41202 0.40900
0.60800 59396.41299 0.39400
0.60300 59396.41396 0.39400
0.60200 59396.41494 0.39100
0.59300 59396.41591 0.39100
0.58500 59396.41688 0.38200
0.58900 59396.41785 0.39000
0.58700 59396.41882 0.36900
0.57800 59396.41980 0.36300
0.57900 59396.42077 0.36400
0.57200 59396.42174 0.35600
0.56900 59396.42271 0.34900
0.56200 59396.42369 0.34600
0.55900 59396.42504 0.34200
0.55900 59396.42601 0.33700
0.55300 59396.42601 0.33700
0.55000 59396.42698 0.32700
0.54000 59396.42796 0.33200
0.54400 59396.42893 0.31900
0.53300 59396.42990 0.31800
0.53400 59396.43087 0.31700
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
29663 29760 29857 29954 30051 .30149 .30246 .30343 .30441 .30539 .30636 .30734 .30831 30929 31026 31123 31220 31318 31415 31512 31609 31706 .31804 .31901 .31999 .32134 .32231 .32328 .32425 .32522 .32620 32717 32816 32914 33011 33108 33205 33303 33400 .33497 .33594 .33691 .33790 .33887 .33984 .34081
0.54300 0.54600 0.54900 0.55500 0.56400 0.57000 0.56700 0.57200 0.57700 0.58200 0.58500 0.59500 0.59400 0.59000 0.59600 0.60200 0.60600 0.60700 0.61200 0.60800 0.61600 0.62600 0.63400 0.62900 0.63600 0.63800 0.63700 0.63800 0.65000 0.64900 0.65400 0.65400 0.65000 0.65500 0.65300 0.65100 0.66100 0.65500 0.65500 0.65800 0.66000 0.65600 0.65700 0.65900 0.66100 0.65900
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
34180 34277 34373 34472 34569 .34703 .34800 .34897 .34995 .35093 .35190 .35289 .35386 35484 35581 35679 35776 35873 35970 36068 36165 36262 .36359 .36456 .36554 .36651 .36748 .36847 .36944 .37041 .37138 37235 37370 37467 37564 37661 37759 37856 37954 .38051 .38149 .38246 .38343 .38440 .38538 .38635
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
43184 43281 43378 43476 43572 .43669 .43768 .43865 .43962 .44448 .44546 .44643 .44740 44838 44936 45070 45167 45264 45362 45459 45556 45653 .45750 .45848 .45946 .46043 .46141 .46238 .46335 .46432 .46529 46628 46725 46822 46919 47017 47114 47211 47308 .47406 .47503 .47600 .47734 .47831 .47929 .48026 .48124
0.31400 0.30600 0.29800 0.29800 0.29200 0.28500 0.28600 0.28500 0.28100 0.26600 0.26000 0.24700 0.26000 0.26900 0.24400 0.24100 0.22500 0.23900 0.22400 0.22100 0.21500 0.21000 0.20500 0.21600 0.20100 0.20400 0.21100 0.19100 0.19100 0.21100 0.17100 0.17900 0.17600 0.16600 0.15700 0.15700 0.15500 0.14800 0.16300 0.15700 0.15000 0.14300 0.14600 0.13400 0.14000 0.14100 0.12700
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
.48220 .48319 .48416 .48513 .48610 .48708 .48805 .48902 .48999 .49097 .49194 .49291 .49388 .49485 .49583 .49680 .49777 .49875 .49973 .50070 .50747 .50811 .50873 .50953 .51038 .51100 .51174 .51238 .51300 .51363 .51425 .51488 .51551 .51614 .51676 .51739 .51801 .51864 .51926 .51989 .52051 .52114 .52176 .52239 .52301 .52365 .52426
0.13800 0.16300 0.12300 0.18400 0.11600 0.10700 0.11000 0.10500 0.11600 0.14200 0.11900 0.11400 0.09500 0.08600 0.09800 0.09000 0.10000 0.10200 0.11000 0.11200 0.02200 0.00700 0.01800 -0.00200 0.00700 0.00900 0.00600 0.01400 0.00900 0.00300 0.00200 0.00300 0.00200 0.02700 0.01100 0.01400 0.00500 0.01100 0.00300 0.00000 0.00400 0.00200 0.00200 0.00600 0.00600 0.00100 0.00500
59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396 59396
52489 52553 52615 52678 52740 .52803 .52865 .52928 .52990 .53053 .53115 .53178 .53240 53303 53366 53429 53491 53554 53628 53660 53693 53726 .53759 .53791 .53823 .53856 .53889 .53922 .53954 .53987 .54020 54053 54085 54117 54150 54183 54216 54248 54282 .54314 .54347 .54380 .54413 .54445 .54478
0.00200 0.00300 0.00200 0.00700 0.01700 0.01900 0.01400 0.00500 0.01300 0.02800 0.00100 0.01000 0.01200 0.01000 0.00100 0.02300 0.01400 0.00700 0.00400 0.01400 0.01900 0.00300 0.00800 0.00300 0.01000 0.01400 0.00700 0.00700 0.00700 0.00300 0.01400 0.01100 0.01900 0.00800 0.01800 0.00200 0.00700 0.00400 0.01100 0.00600 0.01700 0.01000 0.00800 0.02000 0.00300
