Title:
Luni-solar effects of geosynchronous orbits at the critical inclination
Authors:
Delhaise, Fabienne; Morbidelli, Alessandro
Affiliation:
AAFUNDP, Namur, Belgium ABFUNDP, Namur, Belgium
Journal:
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57,
no. 1-2, p. 155-173
(CeMDA Homepage)
Publication Date:
10/1993
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
EARTH-MOON SYSTEM, GRAVITATIONAL EFFECTS, LUNAR GRAVITATION, ORBIT
CALCULATION, SATELLITE ORBITS, SOLAR GRAVITATION, SOLAR TERRESTRIAL
INTERACTIONS, SYNCHRONOUS SATELLITES, GEOPOTENTIAL, HAMILTONIAN
FUNCTIONS, INCLINATION, LIBRATION, ORBITAL ELEMENTS, ORBITAL RESONANCES
(CELESTIAL MECHANICS)
Bibliographic Code:
1993CeMDA..57..155D
Abstract
The luni-solar effects of a geosynchronous artificial satellite orbiting
near the critical inclination is investigated. To tackle this
four-degrees-of-freedom problem, a preliminary exploration separately
analyzing each harmonic formed by a combination of the
satellite longitude of the node separately analyzing each harmonic
formed by a combination of the satellite longitude of the node
and the Moon longitude of the node is opportune. This study demonstrates
that the dynamics induced by these harmonics does not
show resonance phenomena. In a second approach, the number of degrees
of freedom is halved by averaging the total Hamiltonian
over the two non-resonant angular variables. A semi-numerical method
can now be applied as was done when considering solely
the inhomogeneity of the geopotential (see Delhaise et Henrard, 1992).
Approximate surfaces of section are constructed in the
plane of the inclination and argument of perigee. The main effects
of the Sun and Moon attractions compared to the terrestrial
attraction alone are a strong increase in the amplitude of libration
in inclination (from 0.6 deg to 3.2 deg) and a decrease of the
corresponding libration period (from the order of 200 years to the
order of 20 years).