================================================================================ The Pulkovo catalog of the orbits obtained for the visual binary and multiple stars by the Apparent Motion parameters method. Romanenko L.G., Kiyaeva O.V., Izmailov I.S., Shakht N.A., Gorshanov D.L. in progress ================================================================================ ADC_Keywords: Binaries, visual; Orbits; Stars Keywords: visual double stars; orbits; AMP method Abstract: The orbits obtained by the Apparent Motion parameters (AMP) method for 70 wide pairs of visual binary and multiple stars (included in 66 systems) are presented. This method allows you to determine the orbit based on a short arc of positional observations, if data on trigonometric parallax, component masses and their relative radial velocity are known from the literature. In many cases, the basis of the research is series of photographic and CCD observations obtained with the 26-inch refractor of the Pulkovo Observatory. For very slowly moving pairs, positional obser- vations from the Washington Double Star Catalog (WDS) were also used partially or fully. Most of the objects in our Catalog have separations from 2.5" to 39", except for a few closer stars not included in the Pulkovo observation program and wider pairs. A comparison was made of the AMP-orbits obtained by A.A.Kiselev’s group over the past 40 years with new data. For 28 pairs, all the necessary data is available in the Gaia catalog (DR2 or DR3 releases). For them, the first orbits were obtained or existing ones were recalculated. In another 21 cases, quasi-instantaneous movement according to Gaia contradicts movement across all available observations. Possible cause is the presence of internal subsystems. The orientation of the obtained orbits in the galactic coordinate system is also given. All calculations were performed according to a single program. Description: In the TABL1 - Common data about the stars: number one after another, Hipparcos number, ADS number, Components, WDS number (coordinates), magnitudes and spectral classes of components according to WDS, spectral classes of components according to Teff from the catalog Gaia DR2, the time interval and the number of observations in WDS (version 2016), the time interval and the number of photographic and CCD observations with Pulkovo 26-inch refractor, number of solutions, any flags and references. In the TABL2 - Initial data for AMP orbit determinations. In the TABL3 - The AMP orbits and their uncertainties for 52 pairs with 1, 2 or 4 solutions, comparison with observations and also we give coordinates of the Pole and Periastron directions in the Galaxy frame. Orbital element uncertainties are determined by the total effect of initial data errors, but they are asymmetrical with respect to the calculated values of the orbital elements, therefore we give two values of uncertainties: positive (pos, with sign "+") and negative (neg, with sign "-"). In the TABL4 - The Families of AMP orbits for 17 pairs corresponding to special solutions, their comparison with observations and also we give coordinates of orbital Pole and Periastron directions in the Galactic frame. File Summary: -------------------------------------------------------------------------------- FileName Lrecl Records Explanations -------------------------------------------------------------------------------- ReadMe 80 306 This file TABL1.txt 146 70 Description of data on stars TABL2.txt 185 74 Initial data for orbits of 70 pair of stars TABL3.txt 315 77 Results for 52 double stars TABL4.txt 167 79 Results for 17 double stars (Family) -------------------------------------------------------------------------------- Byte-by-byte Description of file: TABL1.txt -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 3 I3 --- I Number one after another 6- 11 A6 --- HIP1 Hipparcos catalog number of a primary star 12 A1 --- / Dividing sign 13- 18 A6 --- HIP2 Hipparcos catalog number of a secondary star 21- 25 A5 --- ADS ADS catalog number 29- 32 A4 --- Comp Components of the pair 34- 43 A10 --- WDS WDS catalog number (J2000.0) 45- 49 F5.2 mag Mag1 Magnitude of a primary star according to WDS 52- 56 F5.2 mag Mag2 Magnitude of a secondary star according to WDS 60- 67 A8 --- Sp1WDS Spectral class of a primary star according to WDS 68- 73 A6 --- Sp2WDS Spectral class of a secondary star according to WDS 74- 80 A7 --- Sp1Gaia Spectral class of a primary star according to Teff Gaia DR2 (1) 82- 87 A6 --- Sp2Gaia Spectral class of a secondary star according to Teff Gaia DR2 (1) 89- 92 I4 year t1WDS Beginning of observations in WDS version 2016 94- 97 I4 year t2WDS Ending of observations in WDS version 2016 101-103 I3 --- NWDS Number of WDS observations 107-110 I4 year t1Pul Beginning of Pulkovo 26-inch refractor observations 113-116 I4 year t2Pul Ending of Pulkovo 26-inch refractor observations 119-121 I3 --- Nphoto Number of photographic observations 124-126 I3 --- NCCD Number of CCD observations 130 A1 --- Flag1 Number of orbit solutions (2) 134-141 A8 --- CVWGMO Feature of the star (3) 142-146 A5 --- ref References (4) -------------------------------------------------------------------------------- Note (1): Spectral class we estimated according to Teff in Gaia DR2 if the star is dwarf (see Agekian T. A. Stars, galaxies, and the metagalaxy. 1981. Moscow Izdatel Nauka.), else it is given in brackets. (2): If there is family of orbits Flag1=F. (3): Signs corresponding to the features of the star are as follows: C - There is curvature from basis observations. In brackets, if it is seen according to all observations only. V - There is a radial velocity from observations, else it is given in brackets. W - Wide star, a>100A.U. G - Orbit is determined on the basis of Gaia DR2 observations. M - There is inner subsystems. In brackets, if it is our assumption. O - AMP orbit is corrected by the program ORBITX (see Tokovinin A. // IAU Colloq. 135: ASP Conference Series. 1992. 32, 573.). (4): If the orbit is published for the first time ref=[0], else ref=code: [1] = Kiyaeva O. V., Romanenko L. G., Zhuchkov R. Ya. //Astronomy Letters. 2017. 43, 316-331. [2] = Kiyaeva O. V., Zhuchkov R. Ya., Izmailov I. S. // Astrophysical Bulletin. 2020. 75, 425-436. [3] = Kiyaeva O. V., Kiselev A. A., Polyakov E. V., Rafal'Skii V. B. // Astronomy Letters. 2001. 27. 391-397. [4] = Romanenko L. G., Izmailov I. S. // Astronomy Reports. 2021. 65, 209-223. [5] = Kiyaeva O. V., Izmailov I. S. // Astronomy Letters. 2018. 44, 787-797. [6] = Kiyaeva O. V., Romanenko L. G. // Astronomy Reports. 2023. 67, 493-501. [7] = Kiyaeva O. V., Zhuchkov R. Ya. // Open Astronomy. 2017. 26, 64-71. [8] = Shakht N. A., Grosheva E. A., Gorshanov D. L. // Binary Stars as Critical Tools & Tests in Contemporary Astrophysics. 2007. 240, 119. [9] = Kiyaeva O. V., Romanenko L. G. // Astronomy Letters. 2020. 46, 555-571. [10] = Shakht N. A., Gorshanov D. L., Izmailov I. S., Romanenko L. G. // Astrophysics. 2020. 63, 511-522. [11] = Romanenko L. G., Kiselev A. A. // Astronomy Reports. 2014. 58, 30-38. [12] = Romanenko L. G. // Izvestiya GAO in Pulkovo. 2018. 225. 241-246. [13] = Grosheva E.A. Visual binary stars of the circumpolar region according to observations with 26-inch refractor in Pulkovo - PhD thesis. 2006b. Saint-Petersburg, Pulkovo Observatory. 116. [14] = Kiselev A.A., Romanenko L.G., Izmailov I.S., Grosheva E.A. // Izvestiya GAO in Pulkovo. 2000. 214. 239-254. [15] = Kiyaeva O.V., Izmailov I.S., Narizhnaya N.V., Romanenko L.G. // Izvestiya GAO in Pulkovo. 2023. 229. 24-33. [16] = Kiyaeva O.V., Khovritchev M. Yu., Kulikova A. M., Narizhnaya N. V., Vasilyeva T. A., Apetyan A. A. //Research in Astronomy and Astrophysics. 2021. 21, 291. [17] = Romanenko L. G. // Astronomy Reports. 2017. 61, 206-220. [18] = Shakht N. A., Gorshanov D. L., Vasilkova O. O. // Astrophysics. 2017. 60, 4. 507-519. [19] = Grosheva E. A. // Astrophysics. 2006a. 49, 3. 397-404. ----------------------------------------------------------------------------- Byte-by-byte Description of file: TABL2.txt ----------------------------------------------------------------------------- Bytes Format Units Label Explanations ----------------------------------------------------------------------------- 1- 10 A10 --- WDS WDS catalog number (J2000.0) 11 A1 --- * Flag1 (1) 13- 16 A4 --- Comp Components of the pair 19- 23 A5 --- Basis Identification of the basis observations (2) 26- 29 I4 year Tb_1 Beginning of Basis observations 30 A1 --- - Dividing sign 31- 34 I4 year Tb_2 Ending of Basis observations 36- 38 I3 --- Nb Number of Basis observations 39- 40 A2 --- ** Flag2 (3) 43- 48 F6.1 year T_0 Instant 51- 59 F9.5 arcsec Rho Separation between components 62- 67 F6.5 arcsec e_Rho Error in Rho 72- 80 F9.5 degree Theta Positional Angle (equinox: 2000.0) 83- 88 F6.5 degree e_Theta Error in Theta 91- 96 F6.2 mas/yr Mu Relative motion in the sky plane 99-102 F4.2 mas/yr e_Mu Error in Mu 105-110 F6.2 degree Psi Positional Angle of a direction of relative motion 113-117 F5.2 degree e_Psi Error in Psi 121-125 F5.2 arcsec Rc Radius of curvature 128-131 F4.2 arcsec e_Rc Error in Rc 134 A1 --- ( left bracket (4) 135-139 F5.2 km/c dVr Relative radial velocity 140 A1 --- ) right bracket 143 A1 --- ( left bracket 144-147 F4.2 km/c e_dVr Error in dVr 148 A1 --- ) right bracket 151-156 F6.2 mas pt Parallax 160-163 F4.2 mas e_pt Error in pt 168-171 F4.2 M_Sun M Sum of component masses in masses of the Sun (For ADS 15600 we give two different masses.) 174-178 F5.1 mas S_r Dispersion in radial direction 181-185 F5.1 mas S_t Dispersion in tangential direction -------------------------------------------------------------------------------- Note (1): * - Initial data for the control stars. For ADS 48 we give two different basis. (2): Basis=WDS - WDS observations PUL - Pulkovo 26-inch photographic observations CCD - Pulkovo 26-inch CCD observations G-DR2 - Gaia DR2 observations PCCD - PUl+CCD WPUL - WDS+PUL SPUL - The first Struve observations+PUL SCCD - The first Struve observations+CCD Keck - Published uniform Keck1 observations for the star WDS 04220+1932 (T Tauri) *** - Ephemeries of the AMP orbit corrected with ORBITX for two stars: WDS02433+0314 and WDS 06555+3010 (3): ** - set of observations was smoothed previously (4): If there are no radial velocity observations, the adopted values are presented in brackets. -------------------------------------------------------------------------------- Byte-by-byte Description of file: TABL3.txt -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 3 I3 --- I Number one after another 5 I1 --- k The orbital solution number 7- 16 A10 --- WDS WDS catalog number (J2000.0) 18- 21 A4 --- Comp Components of the pair 24- 27 F4.0 deg Beta Angle Beta 32- 37 F6.0 year P Orbital period 42- 47 F6.0 year +er_P Period uncertainty positive (pos) 48 A1 --- * Flag (1) 51- 56 F6.0 year -er_P Period uncertainty negative (neg) 60- 66 F7.3 arcsec a Semi-major axis of orbit 71- 76 F6.3 arcsec +er_a Semi-major axis uncertainty (pos) 79- 84 F6.3 arcsec -er_a Semi-major axis uncertainty (neg) 87- 91 F5.1 deg i Inclination of the orbit 94- 97 F4.1 deg +er_i Inclination uncertainty (pos) 100-103 F4.1 deg -er_i Inclination uncertainty (neg) 106-110 F5.1 deg Node Longitude of ascending node 102-116 F5.1 deg +er_Node Longitude of ascending node uncertainty (pos) 118-122 F5.1 deg -er_Node Longitude of ascending node uncertainty (neg) 125-129 F5.0 year Tp Time of periastron passage 132-136 F5.0 year +er_Tp Time of periastron passage uncertainty (pos) 138-142 F5.0 year -er_Tp Time of periastron passage uncertainty (neg) 146-149 F4.3 --- e Eccentricity 151-154 F4.3 --- +er_e Eccentricity uncertainty (pos) 156-159 F4.3 --- -er_e Eccentricity uncertainty (neg) 162-166 F5.1 deg w Longitude of periastron 168-172 F5.1 deg +er_ w Longitude of periastron uncertainty (pos) 174-178 F5.1 deg -er_w Longitude of periastron uncertainty (neg) 181-184 F4.0 deg lQ Galactic longitude of Pole 187-189 F3.0 deg +er_lQ Galactic longitude of Pole uncertainty (pos) 192-194 F3.0 deg -er_lQ Galactic longitude of Pole uncertainty (neg) 197-200 F4.0 deg bQ Galactic latitude of Pole 203-205 F3.0 deg +er_bQ Galactic latitude of Pole uncertainty (pos) 208-210 F3.0 deg -er_bQ Galactic latitude of Pole uncertainty (neg) 213-216 F4.0 deg lP Galactic longitude of Periastron 219-221 F3.0 deg +er_lP Gal. longitude of Periastron uncertainty (pos) 224-226 F3.0 deg -er_lP Gal. longitude of Periastron uncertainty (neg) 229-232 F4.0 deg bP Galactic latitude of Periastron 235-237 F3.0 deg +er_bP Gal. latitude of Periastron uncertainty (pos) 240-242 F3.0 deg -er_bP Gal. latitude of Periastron uncertainty (neg) 246-253 F8.3 year T_1 Instant of the first observation 255-262 F8.3 year T_2 Instant of the last observation 265-267 I3 --- Nu Number of all used observations 270-275 F6.2 mas S_r RMS in radial direction 278-283 F6.2 mas S_t RMS in tangential direction 286-291 F6.2 mas S_xy RMS in the sky plane 293-299 F7.2 mas (O-C)rG (O-C) in radial direction for Gaia DR2 obs. 301-307 F7.2 mas (O-C)tG (O-C) in tangential direction for Gaia DR2 obs. 309-315 F7.2 mas (O-C)xyG (O-C) in the sky plane for Gaia DR2 obs. -------------------------------------------------------------------------------- Note (1): * - for the star WDS 01055+1523 we have great errors of orbital elements due to great errors of radial velocity observations in Gaia DR2. -------------------------------------------------------------------------------- Byte-by-byte Description of file: TABL4.txt -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 2 I2 --- I Number one after another 4 I1 --- k The orbital solution number 6- 15 A10 --- WDS WDS catalog number (J2000.0) 16- 19 A4 --- Comp Components of the pair 21- 24 F4.0 deg Beta Angle Beta 26- 31 F6.2 arcsec a Semi-major axis of orbit in arcsec 33- 39 F7.1 AU a1 Semi-major axis of orbit in AU 41- 48 F8.0 year P Orbital period 50- 52 F3.2 --- e Eccentricity 54- 58 F5.1 deg w Longitude of periastron 60- 64 F5.1 deg i Inclination 66- 70 F5.1 deg Node Longitude of ascending node 72- 78 F7.0 year Tp Time of periastron passage 80- 83 F4.0 deg lQ Galactic longitude of Pole 85- 88 F4.0 deg bQ Galactic latitude of Pole 90- 93 F4.0 deg lP Galactic longitude of Periastron 95- 98 F4.0 deg bP Galactic latitude of Periastron 100-107 F8.3 year T_1 Instant of the first observation 109-116 F8.3 year T_2 Instant of the last observation 119-121 I3 --- Nu Number of all used observations 123-128 F6.2 mas S_r RMS in radial direction 130-135 F6.2 mas S_t RMS in tangential direction 138-143 F6.2 mas S_xy RMS in the sky plane 145-151 F7.2 mas (O-C)rG (O-C) in radial direction for Gaia DR2 obs. 153-159 F7.2 mas (O-C)tG (O-C) in tangential direction for Gaia DR2 obs. 162-167 F6.2 mas (O-C)xyG (O-C) in the sky plane for Gaia DR2 obs. ------------ --------------------------------------------------------------------