Evaluation of 15th-order harmonics in the geopotential from analysis of resonant orbits

Details Evaluation of 15th-order harmonics in the geopotential from analysis of resonant orbits Evaluation of 15th-order harmonics in the geopotential from analysis of resonant orbits

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982rspsa.379..247k&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 379, no. 1777, Feb. 8, 1982, p. 247-288

Physics

36

Earth Orbits, Geopotential, Harmonic Analysis, Orbital Resonances (Celestial Mechanics), Satellite Orbits, Cosmos Satellites, Eccentric Orbits, Heao 3, Inclination, Least Squares Method, Oso, Pegasus Satellites, Resonance

Scientific paper

Satellite orbits contracting under the influence of air drag experience 15th-order resonance when the track over the earth repeats after 15 revolutions. If the orbital decay rate is slow enough, an orbit passing through the resonance is appreciably perturbed by the effects of 15th-order harmonics in the geopotential. The observed perturbations in 23 resonant orbits, at various inclinations to the equator, have been used to determine the harmonic coefficients of order 15 and degree 15, 16, 17, ... 35. Analysis of the changes in orbital inclination on the 23 orbits gives the harmonics of odd degree, while those of even degree are found from the changes in eccentricity on 16 of the orbits. The coefficients of degrees 15, 16, 17, ... 23, should be more accurate than any previously obtained; their average s.d. is 1.4 x 10 to the -9th, equivalent to 1 cm in geoid height. Comparisons with comprehensive earth models show the Goddard Earth Model 10B to be the best, and a standard deviation of about 3 x 10 to the -9th in the GEM 10B 15th-order coefficients is indicated.

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