2021/12/09 by Robert W. Easton, Easton, Robert W.
Engineering · Mathematics · Physics and Astronomy · #Aerospace Engineering and Control Systems #Astro and Planetary Science #Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Spacecraft Dynamics and Control #math.OC #physics.class-ph
paper · pdf · doi:10.48550/arxiv.2112.07352
arxiv created 2021/12/09 · openalex publication_date 2021/12/09 · arxiv updated 2021/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The elliptic restricted three body problem has been well studied. However, the previous formulations of the problem have used a rotating coordinate system to keep the positions of the primary and secondary on the x-axis. This requires the rotation rate of the rotating coordinate system to speed up and slow down. The approach here uses a rotating coordinate system with constant rotation rate. This formulation allows one to conveniently compare solutions of the elliptic problem with solutions of the circular restricted three body problem.