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Investigation of the dynamical evolution of planetary systems with isotropically varying masses

Published online by Cambridge University Press:  16 October 2024

M. Zh. Minglibayev Open the ORCID record for M. Zh. Minglibayev [Opens in a new window] ,
A. N. Prokopenya Open the ORCID record for A. N. Prokopenya [Opens in a new window]  and
A. B. Kosherbayeva
M. Zh. Minglibayev*
Affiliation:
Al-Farabi Kazakh National University, Almaty, Kazakhstan Fesenkov Astrophysical Institute, Almaty, Kazakhstan
A. N. Prokopenya
Affiliation:
Warsaw University of Life Sciences, Warsaw, Poland
A. B. Kosherbayeva
Affiliation:
Al-Farabi Kazakh National University, Almaty, Kazakhstan
*
email: Minglibayev@gmail.com
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Abstract

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In this work, the secular evolution of exoplanetary systems is investigated, when the variability of the masses of celestial bodies is the leading factor of dynamical evolution. The masses of the parent star and the planets change due to the particles leaving the bodies and falling on them. At the same time, bodies masses are assumed to change isotropically at different rates. The law of mass change is considered to be known and given function of time. The relative motions of the planets are investigated by the methods of the canonical perturbation theory in the absence of resonances. It is assumed that the orbits of the planets do not intersect. Evolutionary equations in analogues of Poincaré variables (Λi, λi, ξi, ηi, pi, qi) are obtained and used to study the K2-3 exoplanetary system. All analytical and numerical calculations are performed with the aid of the Wolfram Mathematica.

Keywords

variable masscanonical variablesperturbation theoryexoplanetary systemPoincaré variables
Type
Poster Paper
Information
Proceedings of the International Astronomical Union , Volume 18 , Symposium S382: Complex Planetary Systems II: Latest Methods for an Interdisciplinary Approach , December 2022 , pp. 156 - 158
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of International Astronomical Union

References

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