AN ANALYTICAL STUDY OF THE EFFECTS OF OBLATENESS ON SATELLITE ORBITS,

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Abstract:

This report contains an analytical study of the short term effects of planetary oblateness on the path of a satellite that is under the sole influence of gravitational attraction. Analytical solutions of the equations of the path, valid to the first order in the oblateness parameter J, are determined following the method of Lindstedt. The initial conditions considered in this report require that the satellite be initially at an apse in the equatorial plane, but the inclination and the eccentricity are unrestricted. Subsequent reports will consider 1 initial positions not in the equatorial plane and 2 the escape path from an oblate planet. Both analytical expressions and numerical results are given for the radial position, speed, angular momentum, deviation from the initial plane of motion, rate of nodal regression, and the rate of apsidal advance of a satellite. In addition, the injection speed required for prescribed apses is derived.

Author(s):
Fosdick, George E. ; Anthony, Maurice L.
Author Organization(s):
MARTIN CO DENVER COLO
Supplementary Note:
Legibility of this document is in part unsatisfactory. Reproduction has been made from the best available copy.
Annotation:
An analytical study of the effects of oblateness on satellite orbits.
Pagination:
0152

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
Martin-R-60-2
 Subject Terms
Modernization Areas:
Space
Communities of Interest:
Space
Descriptor(s):
*PLANETS, *CELESTIAL MECHANICS, ELLIPSOIDS, ARTIFICIAL SATELLITES, ORBITS, ARTIFICIAL SATELLITES, INCLINED ORBIT TRAJECTORIES, CIRCULAR ORBITS, PERTURBATION THEORY, DYNAMICS, ELLIPTICAL ORBIT TRAJECTORIES, MOMENT OF INERTIA, VELOCITY, GRAVITY, EQUATIONS, MOTION
Keyword(s):
OBLATENESS
Report Date:
1960 Apr 01