Two-Body Problem with Varying Mass in Case of Isotropic Mass Loss

Citation:
Rahoma, W. A., M. K. Ahmed, I. A. El-Tohamy, A. F. A. El-Salam, and M. I. El-Saftawy, "Two-Body Problem with Varying Mass in Case of Isotropic Mass Loss", Advanced in Theoretical and Applied Mechanics, 2011.

Abstract:

The present work is concerned with the two-body problem with varying mass in case of only one body ejects mass. The problem is treated analytically in the Hamiltonian frame-work and the equations of motion are integrated using the Lie series developed and applied, separately, by Delva [10] and Hanslmeier [2]. The Hamiltonian is constructed up to second order using time as independent variable. The equations of motion are integrated using the Lie operator and Lie series, yielding the solution directly in terms of the coordinates.

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