An Algorithm for the Influence Numbers in the Expansion of the Lumped Gravitational Potential Coefficients in the Presence of Resonant Inclination Variation.
Abstract
Near resonance, the rate of change of the orbital inclination of an earth satellite may be expressed as an aggregate of several more or less complicated functions involving the parameters characterizing the resonance type, the orbital elements, certain quantities named lumped coefficients, and time. The lumped coefficients are linear expressions consisting of the scalar products of sets of expansion coefficients of the earth's gravitational potential (in the sense that each lumped coefficient is associated with a specific potential term order) times a second set of parameters customarily called influence numbers. The latter are essentially functions of orbital semimajor axis, inclination, and eccentricity. The present report specifies a computer algorithm for the influence numbers. Included are numerical trial data and a mathematical derivation of the influence number algorithm.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1984
- Accession Number
- ADA154229
Entities
People
- W. J. Groeger
Organizations
- Naval Surface Warfare Center Dahlgren Division