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.
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).
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
\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}
Linking options:
https://www.mathnet.ru/eng/nd709
https://www.mathnet.ru/eng/nd/v16/i2/p259
This publication is cited in the following 3 articles:
A. A. Burov, E. A. Nikonova, V. I. Nikonov, “On the Approximation of the Attraction Field of a Rigid Body by the Attraction Field of Four Material Points of the Same Mass”, Vestnik St.Petersb. Univ.Math., 57:2 (2024), 263
E. A. Nikonova, “Isosceles tetrahedron and an equimomental system of a rigid body”, Vestn. St. Petersbg. Univ., Math., 56:1 (2023), 119–124
A. A. Burov, E. A. Nikonova, “The generating function for the components of the Euler-Poinsot tensor”, Dokl. Phys., 66:5 (2021), 139–142
Citation in format AMSBIB
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