On the motion of a satellite in resonance with its rotating planet

Details On the motion of a satellite in resonance with its rotating planet On the motion of a satellite in resonance with its rotating planet

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26..337s&link_type=abstract

Celestial Mechanics, vol. 26, Apr. 1982, p. 337-352.

Statistics

Computation

8

Artificial Satellites, Natural Satellites, Orbit Perturbation, Planetary Orbits, Amplitudes, Geopotential, Molniya Satellites, Navstar Satellites, Oblate Spheroids, Planetary Rotation

Scientific paper

The influence of resonance perturbations due to the gravitational field of an oblate planet on its satellite whose motion is commensurable with rotation of the planet has been investigated. It has been shown that in special cases of the critical inclination or circular orbit the Lagrange equations can be integrated for all resonance terms simultaneously. The method is applied to the investigation of the motion of the 12-hour communication and navigation satellites of the 'Molniya' and 'Navstar' type. The computations have been performed by the use of four models of the geopotential.

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