Other
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..425s&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 15, May 1983, p. 425-433.
Other
9
Asymptotic Series, Damping, Harmonic Oscillators, Relativity, Series Expansion, Equations Of Motion, Mathematical Models, Pulsars, Rates (Per Time), Wave Equations
Scientific paper
It is pointed out that the discovery of the binary pulsar PSR 1913+16 has led to renewed interest in approximation methods for the construction and solution of equations of motion in general relativity. The technique of matched asymptotic expansions discussed by Fraenkel (1969) appears to be the most useful method for treating the problem. There are, however, difficulties in transferring this technique to general relativity. The equations are hyperbolic, for which the technique has not been tested. Another problem is related to the difficulty of doing experiments in which the parameters can be controlled. The present investigation is concerned with the application of matched asymptotic expansions to determine the radiation damping of a particularly simple model system. The model consists of a harmonic oscillator described by an amplitude y(t) coupled to a spherically symmetric zero rest mass scalar field.
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