Second Order Post Newtonian Equations of Light Propagation in Multiple Systems

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dc.creatorXu, Chongming
dc.creatorGong, Yanxiang
dc.creatorWu, Xuejun
dc.creatorMichaelSoffel
dc.creatorKlioner, Sergei
dc.date2005-10-16
dc.date.accessioned2026-07-07T06:46:23Z
dc.date.available2026-07-07T06:46:23Z
dc.descriptionThe 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 ($q_{ij}/c^4$ term) and in a local coordinates ($Q_{ab}/c^4$ term). The equations of $q_{ij}$ (or $Q_{ab}$) are deduced from Einstein field equations. The linear relationship between $q_{ij}$ and $Q_{ab}$ 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.
dc.description14 pages, refs.22
dc.identifierhttps://arxiv.org/abs/gr-qc/0510074
dc.identifierhttp://arxiv.org/abs/gr-qc/0510074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103320
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSecond Order Post Newtonian Equations of Light Propagation in Multiple Systems
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