Mathematics – Logic
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...246..569m&link_type=abstract
Astrophysical Journal, Part 1, vol. 246, June 15, 1981, p. 569-591.
Mathematics
Logic
14
Binary Stars, Cosmology, Gravitational Effects, Gravitational Waves, Orbit Perturbation, Stellar Motions, Anisotropy, Background Radiation, Continuous Radiation, Flux Density, Isotropy, Mathematical Models, Plane Waves, Relic Radiation
Scientific paper
The interaction of a continuous gravitational wave with a Newtonian binary system is discussed, and the possibility of using the orbital perturbations to detect cosmological gravitational waves is investigated. The response of the binary system is dominated at late times by secular terms that appear in the orbital perturbations. The dominant secular terms are calculated, and it is shown that they can be used to put interesting upper limits on the energy density of cosmological gravitational waves. In particular, the recent studies of the Earth-Moon and Earth-Mars distances tentatively limit the energy density of the waves, in units of the closure density, to be less than 10 and 0.05 for incoherent waves with periods of 1 month and 1 year, respectively. The possibility of existence of cosmological waves with these periods is discussed.
Carr Bernard J.
Hu Liang-Bin
Mashhoon Bahram
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