Satellite Motion in an Axi-Symmetric Gravitational Field. Part 1. Perturbations Due to J(2) (Second Order) and J(3)
Abstract
Full details are given of the untruncated second-order orbital theory. The analysis only takes account of the first two zonal harmonics, J2 and J3 geopotential assumed. The principal merit of the theory derives from the extreme compactness of the results obtained for short-period perturbations in position and velocity, these perturbations being expressed relative to a system of spherical-polar coordinates based on a rotating 'mean orbital plane'. The use of osculating elements is thereby avoided, and mean elements is thereby avoided, and mean elements are defined so as to give the coordinate perturbations their simplest possible form. To make the theory both complete and compact, an intermediate set of elements, described as 'semi-mean', is also required.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1988
- Accession Number
- ADA223797
Entities
People
- Robert H. Gooding
Organizations
- Royal Aircraft Establishment