Further simplification of the light deflection formula for solar system objects

2010/07/29 by Sven Zschocke, S. A. Klioner, Zschocke, Sven +2
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Scientific Research and Discoveries #Spacecraft and Cryogenic Technologies #gr-qc

paper · pdf · doi:10.48550/arxiv.1007.5175

9 pages, no figures, report for astrometric mission Gaia

arxiv created 2010/07/29 · openalex publication_date 2010/07/29 · arxiv updated 2010/08/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The transformation n to k in post-post-Newtonian order is simplified. All post-post-Newtonian terms of the order m²/d² are neglected and we show that the total sum of these terms is smaller than 15/4 pi m²/d². This simpler transformation will improve the efficiency of Gaia data reduction.

Citations

• Analytical solution for light propagation in Schwarzschild field having an accuracy of 1 micro-arcsecond

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