Mathematics – Logic
Scientific paper
Oct 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..25..137h&link_type=abstract
Celestial Mechanics, vol. 25, Oct. 1981, p. 137-157.
Mathematics
Logic
7
Orbital Elements, Orbital Mechanics, Pressure Effects, Satellite Perturbation, Solar Radiation, Stationary Orbits, Attitude Stability, Gravitational Effects, Periodic Variations, Radiation Pressure, Satellite Attitude Control, Solar Sensors
Scientific paper
The long period dynamics of sun-synchronous orbits near the critical inclination 116.6 deg are investigated. It is known that, at the critical inclination, the average perigee location is unchanged by earth oblateness. For certain values of semimajor axis and eccentricity, orbit plane precession caused by earth oblateness is synchronous with the mean orbital motion of the apparent sun (a sun-synchronism). Sun-synchronous orbits have been used extensively in meteorological and remote sensing satellite missions. Gravitational perturbations arising from an aspherical earth, the moon, and the sun cause long period fluctuations in the mean argument of perigee, eccentricity, inclination, and ascending node. Double resonance occurs because slow oscillations in the perigee and sun-referenced ascending node are coupled through the solar gravity gradient. It is shown that the total number and infinitesimal stability of equilibrium solutions can change abruptly over the sun-synchronous range of semimajor axis values (1.54 to 1.70 earth radii). The effect of direct solar radiation pressure upon certain stable equilibria is investigated.
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