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GENERALIZED P ERTURBATION E QUATIONS OF CELESTIAL MECHANICS

J. Klačka

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Abstract

Generalized perturbation equations of celestial mechanics in terms of orbital eiements are derived. The most general case is considered: Keplerian motion of two bodies caused by gravitational forces between them is disturbed by disturbing acceleration acting on each of the bodies separately and by changes of masses of these bodies. It is also pointed out why derivation presented in Kla~ka (1992a) is completely physically correct only for constant masses.

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Generalized perturbation equations of celestial mechanics in terms of orbital eiements are derived. The most general case is considered: Keplerian motion of two bodies caused by gravitational forces between them is disturbed by disturbing acceleration acting on each of the bodies separately and by changes of masses of these bodies. It is also pointed out why derivation presented in Kla~ka (1992a) is completely physically correct only for constant masses.

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Available abstract

Generalized perturbation equations of celestial mechanics in terms of orbital eiements are derived. The most general case is considered: Keplerian motion of two bodies caused by gravitational forces between them is disturbed by disturbing acceleration acting on each of the bodies separately and by changes of masses of these bodies. It is also pointed out why derivation presented in Kla~ka (1992a) is completely physically correct only for constant masses.

Key concepts: Celestial mechanics, Classical mechanics, Physics, Perturbation (astronomy), Gravitation, Gravitational acceleration, Acceleration, Motion (physics)

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