Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...223..285m&link_type=abstract
Astrophysical Journal, Part 1, vol. 223, July 1, 1978, p. 285-298.
Astronomy and Astrophysics
Astrophysics
22
Gravitation Theory, Gravitational Waves, Resonance, Tidal Waves, Wave Interaction, Approximation, Binary Stars, Charged Particles, Perturbation Theory, Relativity, Secular Variations, Two Body Problem
Scientific paper
An approximate theory of the interaction of a weak gravitational wave with a Newtonian self-gravitating two-body system is presented within the framework of Einstein's theory of gravitation. The first-order orbital variation due to the external wave is thus determined. The existence of certain resonances that may possibly lead to the 'ionization' of the system is investigated. If the orbit is initially a circle, such secular ('resonance') terms can occur in the solutions of the first-order perturbation equations for xi = 1, 2, 3, where xi is the ratio of the frequency of the wave to the orbital frequency of the unperturbed system. If the initial orbit is an ellipse, resonance can occur for any value of xi consistent with the approximation scheme employed. Moreover, (extra) secular terms appear in the solutions whenever xi is a positive integer. The polarization dependence of the resonances and some of the astrophysical implications of tidal resonance are explored.
No associations
LandOfFree
On tidal resonance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On tidal resonance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On tidal resonance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1698773