Periodic solutions in Hill's relativistic problem

Details Periodic solutions in Hill's relativistic problem Periodic solutions in Hill's relativistic problem

Oct 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..137s&link_type=abstract

Celestial Mechanics, vol. 16, Oct. 1977, p. 137-142.

Physics

Celestial Mechanics, Relativistic Effects, Three Body Problem, Circular Orbits, Convergence, Periodic Functions

Scientific paper

The restricted three-body problem including relativistic terms is formulated, and the equations are simplified by replacing the second derivatives in the relativistic terms by their Newtonian values. Demin's (1968) transformation is then used to obtain the equations in a form suitable for applying Poincare's small parameter method. Periodic solutions in the first approximation are obtained. It is seen that the relativistic terms do not disturb the structure of the solution. The solution obtained takes into account the main relativistic effects, including the geodesic precession.

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