ODD ZONAL HARMONICS IN THE GEOPOTENTIAL, DETERMINED FROM 14 WELL-DISTRIBUTED SATELLITE ORBITS.
ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)
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Coefficients of the odd zonal harmonics in the Earths gravitational potential are evaluated by analysing the oscillations in orbital eccentricity of 17 satellites, chosen to give the widest and most uniform possible distribution in inclination and semi major axis. Three of the satellites are excluded for various reasons the other 14 yield various sets of values for the odd zonal harmonic coefficients J3, J5, J7... The best representations of the odd harmonics in the potential appear to be in terms of either 7 or 10 coefficients, assuming that higher-degree coefficients are zero.
- Celestial Mechanics
- Theoretical Mathematics
- Spacecraft Trajectories and Reentry