Mathematics
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982p%26ss...30....5k&link_type=abstract
Planetary and Space Science, vol. 30, Jan. 1982, p. 5-28.
Mathematics
8
Data Reduction, Gravitational Fields, Orbit Perturbation, Satellite Observation, Spacecraft Orbits, Spherical Harmonics, Geopotential, Mathematical Models, Orbital Mechanics, Perigees, Perturbation Theory, Satellite Tracking
Scientific paper
Gravitational constraint equations (lumped harmonics) were derived for the analysis of longitude-dependent gravity effects. These equations follow from elementary perturbation theory and show that all such lumped coefficients are harmonic in the argument of perigee. This approach makes it possible to reduce comprehensive field models to the lumped coefficients for orbits or orbital arcs used in their solutions. These reduced data may be easily combined to determine the resonant and low order geopotential to as high degree as feasible without reintegration of orbits or reprocessing of the original tracking data. An improved set of 13th order harmonics has been computed solely from diverse 13th order resonant constraint information to demonstrate this application.
Klosko Steve M.
Wagner Carl A.
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