Abstract
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-infinity (0less than or equal toV(infinity)less than or equal to1). The formula simplifies to Einstein's light deflection result when V-infinity=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 beta and gamma. The resulting formula demonstrates that by measuring spacecraft trajectories we can determine beta and gamma independently. We show via a detailed covariance analysis that beta and gamma may be determined to a precision of similar to4x10(-5) and similar to8x10(-6), respectively, using foreseeable improvements in spacecraft tracking.
Published in:
Physical Review D 69,4 (2004) 042001;
Link to original published article:
http://dx.doi.org/10.1103/PhysRevD.69.042001
Keywords
galileo
Date of Version
January 2004
Recommended Citation
Longuski, J. M.; Fischbach, E.; Scheeres, D. J.; Giampieri, G.; and Park, R. S., "Deflection of spacecraft trajectories as a new test of general relativity: Determining the parametrized post-Newtonian parameters beta and gamma" (2004). Department of Physics and Astronomy Faculty Publications. Paper 536.
https://docs.lib.purdue.edu/physics_articles/536