Solar radiation pressure and deviations from Keplerian orbits
Abstract
Newtonian gravity and general relativity give exactly the same expression for the period of an object in circular orbit around a static central mass. However, when the effects of the curvature of spacetime and solar radiation pressure are considered simultaneously for a solar sail propelled satellite, there is a deviation from Kepler's third law. It is shown that solar radiation pressure affects the period of this satellite in two ways: by effectively decreasing the solar mass, thereby increasing the period, and by enhancing the effects of other phenomena, potentially rendering some of them detectable. In particular, we consider deviations from Keplerian orbits due to spacetime curvature, frame dragging from the rotation of the sun, the oblateness of the sun, a possible net electric charge of the sun, and a very small positive cosmological constant.
 Publication:

Physics Letters B
 Pub Date:
 May 2009
 DOI:
 10.1016/j.physletb.2009.03.058
 arXiv:
 arXiv:0901.1606
 Bibcode:
 2009PhLB..675...18K
 Keywords:

 95.30.Sf;
 91.10.Sp;
 96.50.Ek;
 96.60.Tf;
 Relativity and gravitation;
 Satellite orbits;
 Heliopause and solar wind termination;
 Solar electromagnetic emission;
 General Relativity and Quantum Cosmology;
 Physics  Space Physics
 EPrint:
 4 pages, minor typo corrected, additional comments