Abstract
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 ̇ = -αm n on the first case, and ̇ i = α i m n(i) i ;i=1,2 on the second which gives rise to a perturbed Keplerian problem dependent on one and two small parameters respectively.
Practical appplications are included.
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© 1997 Kluwer Academic Publishers
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Prieto, C., Docobo, J.A. (1997). On the Two-Body Problem with Slowly Decreasing Mass. In: Docobo, J.A., Elipe, A., McAlister, H. (eds) Visual Double Stars: Formation, Dynamics and Evolutionary Tracks. Astrophysics and Space Science Library, vol 223. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1477-3_39
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DOI: https://doi.org/10.1007/978-94-009-1477-3_39
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