Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64..151i&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Jan.-Feb. 1987, p. 151-157. In Russian.
Astronomy and Astrophysics
Astronomy
Gravitational Effects, Gravitational Waves, Kepler Laws, Orbit Perturbation, Orbital Elements, Planetary Orbits, Eccentric Orbits, Euler-Lagrange Equation, Secular Variations
Scientific paper
Equations governing the perturbed motion of a self-gravitating binary system moving elliptically under the influence of a weak gravitational wave are solved. Lagrangian equations of the first order with respect to orbital eccentricity are presented. Exact expressions for perturbing forces generated by an oblique incident gravitational wave are presented in terms of Eulerian coordinates. Analytical nonperiodic solutions for variations in the orbital elements are obtained in the zero approximation for an arbitrary wave direction. Nonperiodic solutions are obtained in the first approximation for three Keplerian elements in the case of normal wave incidence. Results are presented for Mecury and the earth.
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