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  • Access by Xinjiang University

Post-Newtonian Gravitational Radiation from Point Masses in a Hyperbolic Kepler Orbit

R. O. Hansen

  • University of Chicago, Chicago, Illinois 60637

Phys. Rev. D 5, 1021 – Published 15 February, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.1021

Abstract

The energy and the angular momentum radiated away in the form of gravitational waves from a system of two point particles with positive total energy are calculated in the lowest nonvanishing post-Newtonian approximation. By these radiations a particle arriving from infinity can be captured, and the cross section for such captures is determined as a function of the energy at infinity. The radiation from elliptic (bound) orbits can also be inferred, and is found to be in agreement with known results.

References (3)

  1. P. C. Peters and J. Mathews, Phys. Rev. 131, 435 (1963)
  2. P. C. Peters, Phys. Rev. 136, B1224 (1964)
  3. S. Chandrasekhar and F. Paul Esposito, Astrophys. J. 160, 153 (1970)

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