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Gravitational Radiation from Point Masses in a Keplerian Orbit

P. C. Peters* and J. Mathews

  • California Institute of Technology, Pasadena, California

  • *National Science Foundation Pre-Doctoral Fellow.

Phys. Rev. 131, 435 – Published 1 July, 1963

DOI: https://doi.org/10.1103/PhysRev.131.435

Abstract

The gravitational radiation from two point masses going around each other under their mutual gravitational influence is calculated. Two different methods are outlined; one involves a multipole expansion of the radiation field, while the other uses the inertia tensor of the source. The calculations apply for arbitrary eccentricity of the relative orbit, but assume orbital velocities are small. The total rate, angular distribution, and polarization of the radiated energy are discussed.

References (6)

  1. L. Infeld and J. Plebanski, Motion and Relativity (Pergamon Press Inc., New York, 1960)
  2. L. Landau and E. Lifshitz, The Classical Theory of Fields (Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1959), Chap. 11
  3. R. P. Feynman, lectures, California Institute of Technology (unpublished)
  4. Omitted endnote

  5. J. Mathews, J. Soc. Ind. Appl. Math. 10, 768 (1962) Gravitation, an Introduction to Current Research, edited by Louis Witten (John Wiley & Sons, Inc., New York, 1962), Chaps. 5 and 6
  6. Omitted endnote

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