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

2009/10/24 by Gustavo V. López, G. V. Lopez, Lopez, G. V. +2 · 1 citation
Mathematics · Physics and Astronomy · #Astronomy #Black Holes and Theoretical Physics #Classical Physics (physics.class-ph) #Classical mechanics #Comet #Computer science #Constant (computer programming) #Constant of motion #Cosmology and Gravitation Theories #Equations of motion #FOS: Physical sciences #Gravitation #Gravitational constant #Hamiltonian (control theory) #Mathematics #Mean motion #Motion (physics) #Physics #Quantum chaos and dynamical systems #Space Physics (physics.space-ph) #physics.class-ph #physics.space-ph

paper · pdf · doi:10.48550/arxiv.0910.4684

published in arXiv (Cornell University) (Cornell University) · 14 pages, 5 figures, sent to IJTP

openalex publication_date 2009/10/24 · arxiv created 2011/05/20 · arxiv updated 2011/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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