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Two bodies gravitational system with variable mass and damping-antidamping effect due to star wind

2009/10/24 by G. V. Lopez, Lopez, G. V., E. M. Juarez +1 · 1 citation
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Space Physics (physics.space-ph) #physics.class-ph #physics.space-ph

paper · pdf · doi:10.48550/arxiv.0910.4684

14 pages, 5 figures, sent to IJTP

arxiv created 2011/05/20 · arxiv updated 2011/05/23

Abstract

We study two-bodies gravitational problem where the mass of one of the bodies varies and suffers a damping-antidamping effect due to star wind during its motion. A constant of motion, a Lagrangian and a Hamiltonian are given for the radial motion of the system, and the period of the body is studied using the constant of motion of the system. An application to the comet motion is given, using the comet Halley as an example.

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