Relativistic theory of the moon's motion

Details Relativistic theory of the moon's motion Relativistic theory of the moon's motion

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..151f&link_type=abstract

Celestial Mechanics, vol. 13, Mar. 1976, p. 151-176.

Mathematics

Complex Variables

5

Earth-Moon System, Lunar Orbits, Orbital Elements, Orbital Mechanics, Relativistic Theory, Three Body Problem, Circular Orbits, Complex Variables, Eccentricity, Functions (Mathematics), Lagrange Multipliers, Lagrangian Equilibrium Points, Metric Space, Relativistic Effects, Two Body Problem

Scientific paper

Relativistic corrections to the equations of motion of the moon are determined in the framework of the PPN formalism. The Lagrangian for the restricted N-body problem is obtained and applied to calculate secular effects in the problem of two bodies of finite mass. An expression is derived for the moon's potential, relativistic equations of lunar motion are formulated, and relativistic periodic effects in the moon's motion are analyzed. The effect of coordinate conditions on observations is briefly discussed.

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