Equations of motion in the theory of gravitational perturbations

Autor:	Adolf Kühnel
Rok vydání:	1964
Předmět:	Physics Gravitation Coupling constant Renormalization Radiation damping Classical mechanics Differential equation Quantum electrodynamics Linear motion General Physics and Astronomy Equations of motion Perturbation theory (quantum mechanics)
Zdroj:	Annals of Physics. 28:116-133
ISSN:	0003-4916
DOI:	10.1016/0003-4916(64)90144-7
Popis:	In the two lowest orders of the fast motion approximation for gravitational perturbations the equations of motion for a system of point particles are derived from the (slightly modified) equations of motion for a perfect compressible fluid by a transition from small drops to pointlike particles. In the first order equations the singular terms arising in the limit l → 0 ( l is the diameter of a drop), which do not cancel out because of the stability condition, are removed by a mass renormalization. Radiation damping terms occur like those in electrodynamics. In the second approximation there are needed two subtractions: one for the mass and one for the coupling constant. The “damping terms” in the second order equation of motion are symmetric under time reversal.
Databáze:	OpenAIRE
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