2016/07/16 by Peng Xu, Xu, Peng, Li-É Qiang +1
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Geophysics (physics.geo-ph) #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.1607.04791
openalex publication_date 2016/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
With continuous advances in technologies related to deep space ranging and satellite gravity gradiometry, corrections from general relativity to the dynamics of relative orbital motions will certainly become important. In this work, we extend,in a systematic way, the Hill-Clohessy-Wiltshire Equations to include the complete first order post-Newtonian effects from general relativity. Within certain short time limit, post-Newtonian corrections to general periodic solutions of the Hill-Clohessy-Wiltshire Equations are also worked out.