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The Effect of C22 on Orbit Energy and Angular Momentum

Published online by Cambridge University Press:  12 April 2016

D.J. Scheeres*
Affiliation:
Department of Aerospace Engineering & Engineering Mechanics, Iowa State University, Ames, IA 50011-3231, U.S.A.E-mail:scheeres@iastate.edu

Abstract

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The effect of the C22 gravity field term on a particle is evaluated analytically over one orbit to find the change in orbit energy and angular momentum as an explicit function of the orbital inclination, argument of pericenter, longitude of the ascending node, orbit parameter and eccentricity. Changes in orbit energy and angular momentum are shown to be proportional to a family of integrals which can be parameterized in terms of eccentricity and non-dimensional pericenter radius.

Type
Planets and Satellites
Copyright
Copyright © Kluwer 1999

References

Brouwer, D. and Clemence, G.M.: 1961, Methods of Celestial Mechanics, Academic Press.Google Scholar
Moulton, F.R.: 1958, Differential Equations, Dover.Google Scholar
Scheeres, D.J.: 1994, Dynamics about uniformly rotating tri-axial ellipsoids, Icarus, 110, 225238.CrossRefGoogle Scholar
Scheeres, D.J.: 1995, Analysis of orbital motion around 433 Eros, J. Astronautical Sciences, 43, 427452.Google Scholar
Scheeres, D.J., Ostro, S.J., Hudson, R.S. and Werner, R.A.: 1996, Orbits close to asteroid 4769 Castalia, Icarus, 121, 6787.CrossRefGoogle Scholar
Scheeres, D.J., Ostro, S.J., Hudson, R.S., DeJong, E.M. and Suzuki, S.: 1998a, Dynamics of Orbits Close to Asteroid 4179 Toutatis, Icarus, 132, 5379.CrossRefGoogle Scholar
Scheeres, D.J., Marzari, F., Tomasella, L. and Vanzani, V.: 1998b, ROSETTA mission: satellite orbits around a cometary nucleus, Planetary and Space Science, 46, 649671.CrossRefGoogle Scholar