2012/09/28 by Andrey Vasilyev, Vasilyev, Andrey
Engineering · Physics and Astronomy · #Astro and Planetary Science #Classical Physics (physics.class-ph) #FOS: Physical sciences #Space Satellite Systems and Control #Spacecraft Dynamics and Control
paper · pdf · doi:10.48550/arxiv.1209.6521
openalex publication_date 2012/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In contrast to the well-known solution of the two-body problem through the use of the concept of reduced mass, a solution is proposed involving separation of potentials. It is shown that each of the two point bodies moves in its own stationary potential well generated by the other body, and the magnitudes of these potentials are calculated. It is shown also that for each body separately the energy and the angular momentum laws are valid. The knowledge of the potentials in which the bodies are moving permits calculation of the trajectories of each body without resorting to the reduced mass. Key words: mechanics, two-body problem, gravitational potential, virial theorem.