2005/10/16 by Chongming Xu, Yanxiang Gong, Xu, Chongming +7
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0510074
14 pages, refs.22
arxiv created 2005/10/16 · openalex publication_date 2005/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The first order post Newtonian scheme in multiple systems presented by Damour-Soffel-Xu is extended to the second order one for light propagation without changing the advantage of the scheme on the linear partial differential equations of potential and vector potential. The spatial components of the metric tensor are extended to the second order level both in the global coordinates (qij/c4 term) and in a local coordinates (Qab/c4 term). The equations of qij (or Qab) are deduced from Einstein field equations. The linear relationship between qij and Qab are presented also. The 2PN equations of light ray based on the extended scheme are deduced by means of the iterative method. We also use parametrized second post Newtonian metric tensor to substitute into the null geodetic equations to obtain the parametrized second order equations of light ray which might be useful in the observation and measurement in the future space missions.