Deflection of spacecraft trajectories as a new test of general relativity: Determining the parametrized post-Newtonian parameters β and γ

Details Deflection of spacecraft trajectories as a new test of general relativity: Determining the parametrized post-Newtonian parameters β and γ Deflection of spacecraft trajectories as a new test of general relativity: Determining the parametrized post-Newtonian parameters β and γ

Feb 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrvd..69d2001l&link_type=abstract

Physical Review D, vol. 69, Issue 4, id. 042001

Physics

Experimental Tests Of Gravitational Theories, Lunar, Planetary, And Deep-Space Probes

Scientific paper

In a previous work, we proposed a new test of general relativity (GR) based on a general deflection formula which applies to all values of asymptotic speed V∞ (0⩽V∞⩽1). The formula simplifies to Einstein’s light deflection result when V∞=1. At low velocity, the general deflection equation reduces to the classical Newtonian contribution along with additional terms which contain the GR effect. A spacecraft, such as the proposed interstellar mission which involves a close pass of the Sun, can be used to exaggerate the GR effect so that it can be accurately measured. In this paper we provide a detailed derivation of the general deflection equation, expressed in terms of the parametrized post-Newtonian constants β and γ. The resulting formula demonstrates that by measuring spacecraft trajectories we can determine β and γ independently. We show via a detailed covariance analysis that β and γ may be determined to a precision of ˜4×10-5 and ˜8×10-6, respectively, using foreseeable improvements in spacecraft tracking.

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