Two-body solution of the Newman-Penrose asymptotic equations

Details Two-body solution of the Newman-Penrose asymptotic equations Two-body solution of the Newman-Penrose asymptotic equations

Apr 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..349c&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, April 1986, p. 349-366.

Physics

Asymptotic Methods, Field Theory (Physics), Orbit Perturbation, Radiation Effects, Relativity, Two Body Problem, Equations Of Motion, Iterative Solution, Nonlinear Equations, Orbit Decay, Orbital Velocity, Spherical Harmonics

Scientific paper

The Newman-Penrose nonlinear asymptotic field equations are separated in terms of spin weight spherical harmonics. As an example, the results are used to study the radiation effects on a two-body system. The presence of radiation is manifest through the nonlinear terms in the asymptotic equations. If these terms are assumed to be small, the asymptotic equations can be formally solved by an iteration procedure. For the above example the first step of the iteration procedure is implemented to an accuracy that includes the effects of radiation up to octopole order. The results illustrate the usual internal decay of the orbit as well as an acceleration of the system's center of mass. In favorable cases, the two-body source can reach significant velocities due to the radiation reaction.

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