2005/11/09 by Gustavo V. López, Gustavo Lopez, Lopez, Gustavo
Earth and Planetary Sciences · Physics and Astronomy · #Classical Physics (physics.class-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Geophysics and Gravity Measurements #Relativity and Gravitational Theory #physics.class-ph
paper · pdf · doi:10.48550/arxiv.physics/0511086
11 pages, 3 figures, sent to IJMP
arxiv created 2005/11/09 · openalex publication_date 2005/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Lagrangian, the Hamiltonian and the constant of motion of the gravitational attraction of two bodies when one of them has variable mass is considered. The relative and center of mass coordinates are not separated, and choosing the reference system in the body with much higher mass, it is possible to reduce the system of equations to 1-D problem. Then, a constant of motion, the Lagrangian, and the Hamiltonian are obtained. The trajectories found in the space position-velocity,(x,v), are qualitatively different from those on the space position-momentum,(x,p).