DIRECT DETERMINATION OF SATELLITE COORDINATE PERTURBATIONS BY THE VON ZEIPEL METHOD.
Abstract
By utilizing the canonical variables (R, G, H, r, u, h) of Hill, the in-plane variations in a satellite's coordinates are obtained in a simple manner from the conventional generating functions of the von Zeipel procedure. The generating functions are extended and convenient expressions are found for the radius, radial velocity and the central angle, taking into account the first-order periodic influences of any harmonic in the expansion for the Earth's gravitational field. These expressions are non-singular for zero eccentricity orbits but do not apply for zero inclination orbits, orbits at critical inclination nor for orbits in a state or resonance with the tesseral harmonics. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1965
- Accession Number
- AD0635685
Entities
People
- Juris Vagners
Organizations
- Stanford University