Planetary perturbations of the moon in elliptic variables. I - Formulation and Brown separation

Details Planetary perturbations of the moon in elliptic variables. I - Formulation and Brown separation Planetary perturbations of the moon in elliptic variables. I - Formulation and Brown separation

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....55...83c&link_type=abstract

Astronomy and Astrophysics, vol. 55, no. 1, Feb. 1977, p. 83-94. In French.

Astronomy and Astrophysics

Astrophysics

4

Equations Of Motion, Euler-Lagrange Equation, Moon, Orbit Perturbation, Planetary Orbits, Celestial Mechanics, Gravitational Effects, Orbital Mechanics, Perturbation Theory

Scientific paper

Equations are derived from which the coefficients of the inequalities of motion of the moon due to the perturbing effect of the other planets can be numerically computed. The analysis is based on Lagrange equations. The Brown separation of the arguments of lunar motion due to planetary influences is adopted. These are: (1) lunar arguments, which are of short period, (2) planetary resonant arguments, which are small divisor arguments with long or short periods, and (3) lunar resonant arguments, which are small divisor arguments with long periods. Solution is in two parts: (1) construction of principal terms, and (2) formation of inclination terms. The expansions are limited to 5th order in the small parameters, and only parallactic terms depending on the ratio of the semimajor axes are considered.

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