Abstract
We have solved the Ogorodnikov–Milne stellar-kinematics equations in the Galactic rectangular coordinate system based on the total velocities for a special sample of stars with radial velocities from the final Gaia Data Release 3 catalogue. We have found the region of applicability of the linear model and the regions that it describes poorly. We have constructed a second-order model that takes into account the peculiarities of stellar kinematics more accurately and showed its applicability for stars at distances up to 5 kpc.
REFERENCES
C. A. L. Bailer-Jones, J. Rybizki, M. Fouesneau, M. Demleitner, and R. Andrae, Astron. J. 161, 147B (2021).
V. V. Bobylev and A. T. Bajkova, Astron. Lett. 40, 773 (2014).
V. V. Bobylev and A. T. Baikova, Astron. Rep. 66, 269 (2022).
V. V. Bobylev and A. T. Bajkova, Res. Astron. Astrophys. 23, 045001 (2023).
V. V. Bobylev, A. T. Bajkova, and S. V. Lebedeva, Astron. Lett. 33, 720 (2007).
A. Brown, A. Vallenari, T. Prusti, J. H. J. de Bruijne, C. Babusiaux, M. Biermann, O. L. Creevey, D. W. Evans, et al., Astron. Astrophys. 649, 1G (2021).
S. V. M. Clube, Mon. Not. R. Astron. Soc. 159, 289 (1972).
ESA Gaia. https://sci.esa.int/web/gaia
P. N. Fedorov, A. A. Myznikov, and V. S. Akhmetov, Mon. Not. R. Astron. Soc. 393, 133 (2009).
W. Fricke, Veroff. Astron. Rechen-Inst. Heidelberg, No. 28, 1 (1977).
Gaia, EDR3. https://www.cosmos.esa.int/web/gaia/ earlydr3
Gaia Collab., Astron. Astrophys. 649, A1 (2021).
B. Lindblad, Arkiv Math. Astron. Fys. A 20 (17), 1 (1927).
K. F. Ogorodnikov, Dynamics of Stellar Systems (Fizmatgiz, Moscow, 1958; Pergamon, Oxford, 1965).
J. H. Oort, Bull. Astron. Netherl. 3, 275 (1927).
M. A. C. Perryman et al., The Hipparcos and Tycho Catalogues (ESA, 1997), Vols. 1–17.
S. Roeser, M. Demleitner, and E. Schilbach, Astron. J. 139, 2440 (2010).
S. P. Rybka, Kinem. Fiz. Neb. Tel 20, 437 (2004).
R. B. Shatsova, Uch. Zap. LGU, 136 (1950).
A. S. Tsvetkov, Astron. Astrophys. Trans. 9, 1 (1995).
A. S. Tsvetkov, in Proceedings of the 4th International Workshop on Position Astronomy and Celestial Mechanics, Univ. de Valencia, Spain (1998), p. 73.
A. S. Tsvetkov, Astron. Lett. 47, 863 (2021).
A. S. Tsvetkov and F. A. Amosov, Astron. Lett. 45, 462 (2019).
V. V. Vityzev, in Proceedings of the Conference JOURNEES 2000, Paris (2000), p. 121.
V. V. Vityazev and A. S. Tsvetkov, Astron. Nachr. 334, 760 (2013).
V. V. Vityazev, A. S. Tsvetkov, V. V. Bobylev, and A. T. Bajkova, Astrophysics 60, 503 (2017).
V. V. Vityazev, A. V. Popov, A. S. Tsvetkov, S. D. Petrov, D. A. Trofimov, and V. I. Kiyaev, Astron. Lett. 44, 236 (2018).
N. Zacharias, C. T. Finch, T. M. Girard, A. Henden, J. L. Bartlett, D. G. Monet, and M. I. Zacharias, Astron. J. 145, 44 (2013).
ACKNOWLEDGMENTS
We are grateful to the Gaia Consortium for the provided Gaia DR3 data. We thank the anonymous referees whose valuable remarks allowed the quality of the paper to be improved.
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Tsvetkov, A.S., Amosov, F.A. Determination of the Parameters of a Nonlinear Kinematic Galactic Rotation Model Based on the Proper Motions and Radial Velocities of Stars from the Gaia DR3 Catalogue. Astron. Lett. 49, 331–344 (2023). https://doi.org/10.1134/S1063773723060051
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DOI: https://doi.org/10.1134/S1063773723060051