The critical inclination problem with small eccentricity. I - General theory

Details The critical inclination problem with small eccentricity. I - General theory The critical inclination problem with small eccentricity. I - General theory

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..361j&link_type=abstract

Celestial Mechanics, vol. 21, May 1980, p. 361-393.

Physics

9

Artificial Satellites, Eccentric Orbits, Orbit Calculation, Satellite Orbits, Hamiltonian Functions, Long Term Effects, Resonance, Trajectory Analysis, Zonal Harmonics

Scientific paper

A qualitative solution is presented of the critical inclination problem in artificial satellite theory for motions in which the orbits are nearly circular. The effects of all the zonal harmonics are taken into account, and both shallow and deep resonance regimes are considered. An investigation of the (e sin g, e cos g)-plane reveals that six fundamentally different types of phase-plane portraits exist. These portraits illustrate the long-term behavior of the eccentricity and line of apsides.

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