Application of quaternions in the theory of satellite orbiting motion.

Details Application of quaternions in the theory of satellite orbiting motion. Application of quaternions in the theory of satellite orbiting motion.

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992kosis..30..759c&link_type=abstract

Kosmicheskie Issledovaniya (ISSN 0023-4206), vol. 30, no. 6, p. 759-770.

Physics

1

Orbit Perturbation, Orbital Mechanics, Quaternions, Satellite Orbits, Spacecraft Motion, Earth Gravitation, Equations Of Motion, Hamiltonian Functions

Scientific paper

A method for solving satellite orbiting motion problems is developed. The method is based on a quaternion altitude description of a satellite osculating orbit and on Hamilton's quaternion formalism. The first part of this paper considers the quaternion equations of the satellite disturbed orbiting motion in normal and oscillatory forms. In the second part, geometric aspects of the application of quaternions in the theory of orbits are discussed, equations of disturbed orbit orientation in terms of quaternion osculating elements are introduced, and quaternion equations of satellite motion in the earth gravitational field are suggested.

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