Second-order post-newtonian equations of light ray

Details Second-order post-newtonian equations of light ray Second-order post-newtonian equations of light ray

Jan 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cha%26a..28....1g&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 28, Issue 1, p. 1-8.

Astronomy and Astrophysics

Astrophysics

6

Relativity, Gravity

Scientific paper

A series of space astrometric missions have been proposed recently, in some of which second-order contribution to light propagation in multiple systems should be considered, i.e., second-order post-Newtonian ( 2PN ) equations of light ray have to be discussed under the recent extension of the DSX scheme, founded in early 1990's to investigete a complete first-order post-Newtonian (1PN) celestial mechanics for N arbitrarily composed and shaped, rotating deformable bodies. In this paper, the iterative method is taken to establish and calculate the 2PN equations of light ray. The 2PN equations for the solar system have been deduced from the metric tensor and Christoffel symbols. When the higherorder terms are neglected, the 2PN equations reduce to the well-known 1PN equations. By using these equations, the light propagation in the solar system can be calculated.

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