Satellite Motion in an Axi-Symmetric Gravitational Field. Part 2. Perturbations due to an Arbitrary J sub l
ROYAL AEROSPACE ESTABLISHMENT FARNBOROUGH (UNITED KINGDOM)
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This Report continues the presentation of the untruncated orbital theory begun in Technical Report 88068. The effects of the general zonal harmonic, J sub l, are now covered, the main results being a trio of formulae are only first-order in J sub l, but, in conjunction with the second-order results for J2 published in Part 1, the complete set of formulae may be regarded as constituting a second-order theory, the Earths J2 being much larger than J sub l for sub l 2. The mean elements of the theory are defined in such a way that, foe each J sub l, the coordinate-perturbation formulae have their simplest possible form, with no occurrence of zero denominators. The general formulae are used in a rederivation of the results for J3, given in Part 1, and in a derivation of results for J4. Numerical comparisons with reference orbits are held over to a later report Part 3. Keywords Astrodynamics Orbital elements Satellite perturbations Celestial mechanics Orbit calculations Zonal harmonics Geopotential Orbit perturbation Great Britain Gravitational effects Satellite orbits.
- Celestial Mechanics
- Spacecraft Trajectories and Reentry