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Regular and chaotic relative motion of a dumb-bell-shaped satellite

V.V. Beletsky, M. L. Pivovarov, A. A. Savchenko

Transactions of IAA RAS, issue 8, 27–28 (2002)

Keywords: Very Long Baseline Interferometry (VLBI), celestial mechanics, dumb-bell-shaped satellite, regular and chaotic relative motion

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Abstract

In this paper an orbital two-body system consisting of two point masses m1 , m2 , connected with an ideally flexible massless inextensible thread is considered. Equations are obtained for the plane relative motion of the system on the taut thread (on the assumption that the centre of mass of the system moves along the Keplerian elliptic orbit). The condition of existence of such motion is derived. If this condition is not met the system moves freely without being constrained. The torques of gravitational forces, aerodynamic pressure, aerodynamic friction and the aerogradient effect are taken into account. Particular attention is focused on possible ways of motion chaotization.

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V.V. Beletsky, M. L. Pivovarov, A. A. Savchenko. Regular and chaotic relative motion of a dumb-bell-shaped satellite // Transactions of IAA RAS. — 2002. — Issue 8. — P. 27–28.

@article{beletsky2002,
  abstract = {In this paper an orbital two-body system consisting of two point masses m1 , m2 , connected with an ideally flexible massless inextensible thread is considered. Equations are obtained for the plane relative motion of the system on the taut thread (on the assumption that the centre of mass of the system moves along the Keplerian elliptic orbit). The condition of existence of such motion is
derived. If this condition is not met the system moves freely without being constrained. The torques of gravitational forces, aerodynamic pressure, aerodynamic friction and the aerogradient effect are taken into account. Particular attention is focused on possible ways of motion chaotization.},
  author = {V.~V. Beletsky and M.~L. Pivovarov and A.~A. Savchenko},
  issue = {8},
  journal = {Transactions of IAA RAS},
  keyword = {Very Long Baseline Interferometry (VLBI), celestial mechanics, dumb-bell-shaped satellite, regular and chaotic relative motion},
  pages = {27--28},
  title = {Regular and chaotic relative motion of a dumb-bell-shaped satellite},
  url = {http://iaaras.ru/en/library/paper/310/},
  year = {2002}
}

TY  - JOUR
TI  - Regular and chaotic relative motion of a dumb-bell-shaped satellite
AU  - Beletsky, V. V.
AU  - Pivovarov, M. L.
AU  - Savchenko, A. A.
PY  - 2002
T2  - Transactions of IAA RAS
IS  - 8
SP  - 27
AB  - In this paper an orbital two-body system consisting of two point
masses m1 , m2 , connected with an ideally flexible massless
inextensible thread is considered. Equations are obtained for the
plane relative motion of the system on the taut thread (on the
assumption that the centre of mass of the system moves along the
Keplerian elliptic orbit). The condition of existence of such motion
is  derived. If this condition is not met the system moves freely
without being constrained. The torques of gravitational forces,
aerodynamic pressure, aerodynamic friction and the aerogradient
effect are taken into account. Particular attention is focused on
possible ways of motion chaotization.
UR  - http://iaaras.ru/en/library/paper/310/
ER  -