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Rus. J. Nonlin. Dyn., 2020, Volume 16, Number 2, Pages 259–273 (Mi nd709)  

Nonlinear physics and mechanics

Inertial Characteristics of Higher Orders and Dynamics in a Proximity of a Small Celestial Body

A. A. Burovab, V. I. Nikonovba

a Federal Research Center “Computer Science and Control”, ul. Vavilova 40, Moscow, 119333 Russia
b National Research University “Higher School of Economics”, ul. Myasnitskaya 20, Moscow, 101000 Russia

Abstract: As is well known, many small celestial bodies are of a rather complex shape. Therefore, the study of the dynamics of a spacecraft in their vicinity, based on terms up to the second order of smallness in the expansion of the potential of attraction, seems to be insufficient for an adequate description of the observed dynamical effects related, for example, to positioning of the libration points.
In this paper, such effects are demonstrated for spacecraft dynamics in the vicinity of the asteroid (2063) Bacchus. The libration points are computed for various approximations of the gravitational potential. The results of this computation are compared with similar results obtained before for the so-called Sludsky – Werner – Scheeres potential. The dependence of the structure of the regions of possible motions on approximation of the gravitational potential is also studied.

Keywords: (2063) Bacchus, gravitational potential expansion, libration points, region of possible motion, Hill’s region, zero-velocity locus

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation MK-1712.2019.1
Russian Foundation for Basic Research 18-01-00335
This work is partially supported by the Program of the President of the Russian Federation for Federal Support of Young Russian Scientists, Candidates of Sciences (project no. MK-1712.2019.1) and RFBR (project no. 18-01-00335).


DOI: https://doi.org/10.20537/nd200203

Full text: PDF file (1403 kB)
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MSC: 70K20, 70K42, 70F05
Received: 20.12.2019
Accepted:05.05.2020
Language:

Citation: A. A. Burov, V. I. Nikonov, “Inertial Characteristics of Higher Orders and Dynamics in a Proximity of a Small Celestial Body”, Rus. J. Nonlin. Dyn., 16:2 (2020), 259–273

Citation in format AMSBIB
\Bibitem{BurNik20}
\by A. A. Burov, V. I. Nikonov
\paper Inertial Characteristics of Higher Orders and Dynamics in a Proximity of a Small Celestial Body
\jour Rus. J. Nonlin. Dyn.
\yr 2020
\vol 16
\issue 2
\pages 259--273
\mathnet{http://mi.mathnet.ru/nd709}
\crossref{https://doi.org/10.20537/nd200203}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85093907692}


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