 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Dobroslavskiy A.V. and Krasilnikov P.S., "On the Evolution of Balloon Satellite Motions in a Plane Restricted Planetary Four-Body Problem with Light Pressure," Mech. Solids. 55 (7), 999-1012 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
7 |
Pages |
999-1012 |
| DOI |
10.3103/S0025654420070092 |
| Title |
On the Evolution of Balloon Satellite Motions in a Plane Restricted Planetary Four-Body Problem with Light Pressure |
| Author(s) |
Dobroslavskiy A.V. (Moscow Aviation Institute (National Research University), Moscow, 125080 Russia, a.dobroslavskiy@gmail.com)
Krasilnikov P.S. (krasil06@rambler.ru) |
| Abstract |
In this paper, we consider the plane restricted four-body problem taking into account the
light pressure forces when the Earth’s orbit is a Keplerian ellipse with a focus at the Sun, the Moon’s
orbit is a Keplerian ellipse with a focus at the Earth, and the balloon satellite is a passively gravitating
body. The averaged perturbing function of the problem in osculating elements is obtained in the nonresonant case, when the unperturbed orbit of the Earth satellite lies in the outer sphere of the Earth’s
gravitational influence, located beyond the lunar Hill sphere. It is found that the integrals of averaged
equations in the osculating elements are the semimajor axis of the satellite orbit as well as the average
value of the force function. The stationary modes of oscillations and their bifurcation depending on
the light pressure coefficient and the semimajor axis are investigated. Phase oscillation portraits are
constructed for different values of the light pressure coefficient. The librational and rotational orbits
of the satellite in the ecliptic plane are calculated. |
| Keywords |
restricted planetary four-body problem, light pressure, averaged equations in osculating elements |
| Received |
14 June 2019 | Revised |
20 October 2019 | Accepted |
30 October 2019 |
| Link to Fulltext |
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