Accession Number:

ADA214530

Title:

Satellite Motion in an Axi-Symmetric Gravitational Field. Part 2. Perturbations due to an Arbitrary J sub l

Descriptive Note:

Technical rept.

Corporate Author:

ROYAL AEROSPACE ESTABLISHMENT FARNBOROUGH (UNITED KINGDOM)

Personal Author(s):

Report Date:

1989-05-01

Pagination or Media Count:

104.0

Abstract:

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.

Subject Categories:

  • Celestial Mechanics
  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE