Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008acasn..49..192x&link_type=abstract
Acta Astronomica Sinica, vol. 49, no.2 , p.192-197
Astronomy and Astrophysics
Astronomy
3
Celestial Mechanics: Relativity
Scientific paper
The photon's orbital equation is often used to discuss the movement of man-made satellite, small planet and photon in the solar system. It is also applied to the studies of astronomical measure such as VLBI, GPS and XNAV etc. In this paper, based on the second-order post-Newtonian approximation under the DSX scheme of GTR, it is educed that the second-order post-Newtonian orbit equation of light in axis-symmetrical stationary space-time using Lagrange equation. From here, the orbit equation and deflection angle of light propagating in equatorial plane are got. The conclusions are consistent with that of Schwarzchild and Kerr metric in the precision of measure. Because the oblateness of star is considered, it is more accurate than that of Kerr metric. The great advantage of the second-order post-Newtonian approximation under the DSX scheme of GTR is satisfy linear superposition. So, the conclusions in the paper can be applied to deal with the motion of light in multiple systems, but in this situation Kerr metric is of no effect.
Fei Bao-Jun
Ji Cheng-Xiang
Sun Wei-Jin
Xiao Yong
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