On the Two-body Problem with Slowly Decreasing Mass

Astronomy and Astrophysics – Astronomy

Scientific paper

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Mass Loss, Celestial Mechanics

Scientific paper

We intend to present two approximate analytic solutions of the two-body problem with slowly decreasing mass which are obtained through the integration of the Hamilton equations. The law of mass variation used was m = -αn on the first case, and mi = αimin(i); i = 1,2 on the second which gives rise to a perturbed Keplerian problem dependent on one and two small parameters respectively. Practical applications are included.

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