The problem of the critical inclination revisited

Details The problem of the critical inclination revisited The problem of the critical inclination revisited

May 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..361j&link_type=abstract

Celestial Mechanics, vol. 11, May 1975, p. 361-378.

Physics

8

Eccentricity, Librational Motion, Orbital Mechanics, Satellite Orbits, Satellite Orientation, Trajectory Analysis, Artificial Satellites, Critical Point, Harmonic Analysis, Pitch (Inclination), Potential Theory, Zonal Harmonics

Scientific paper

An investigation is carried out on the possible long-period behavior of the pericenter of a satellite's orbit, when the inclination of the orbit is close to the critical value arc-tan 2. The model used is one in which zonal harmonic terms up to fifth order are included in the potential function and in which it is assumed that the second harmonic is dominant. The analysis is worked out to first order and is applicable to values of eccentricity that are neither close to zero nor to unity. Results are briefly applied to earth satellites.

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