Lunar Perturbations on Artificial Satellites of the Earth
Abstract
Lunisolar perturbations for general terms of the disturbing function were derived by Kaula (1962). However, his formulas use equatorial elements for the Moon and do not give a definite algorithm for computational procedures. As Kozai (1966) suggested, both inclination and node of the Moon's orbit with respect to the equator of the Earth are not simple functions of time, while the same elements with respect to the ecliptic are well approximated by a constant and a linear function of time, respectively. In the present work, the author obtains the disturbing function for the Moon's perturbations using ecliptic elements for the Moon and equatorial elements for the satellite. Secular, long- period, and short-period perturbations are then computed, with the expressions kept in closed form in both inclination and eccentricity of the satellite.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0770167
Entities
People
- Giorgio E. Giacaglia
Organizations
- Smithsonian Astrophysical Observatory