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The Theory of Satellite Orbits, Based on a New Co-Ordinate System
J. L. Brenner and G. E. Latta
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 258, No. 1295 (Nov. 8, 1960), pp. 470-485
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2413919
Page Count: 16
You can always find the topics here!Topics: Sine function, Geometric planes, Approximation, Satellite orbits, Equations of motion, Cots, Equatorial orbits, Orbital theory, Artificial satellites, Orbital nodes
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The co-ordinate system of King-Hele is refined and used to solve the equations of motion of a near-earth satellite, neglecting all perturbing forces except the oblateness of the earth. Besides the better-known effects (regression of nodes, precession or recession of perigee) it is found that the maximum latitude of the subsatellite point varies, and the rate of regression of the node varies by as much as 20% on either side of its mean value (when e = 0·2). Validity of the analysis is not restricted to small eccentricities.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1960 Royal Society