Abstract
The effect of the C 22 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.
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References
Brouwer, D. and Clemence, G.M.: 1961, Methods of Celestial Mechanics, Academic Press.
Moulton, F.R.: 1958, Differential Equations, Dover.
Scheeres, D.J.: 1994, Dynamics about uniformly rotating tri-axial ellipsoids, Icarus, 110, 225–238.
Scheeres, D.J.: 1995, Analysis of orbital motion around 433 Eros, J. Astronautical Sciences, 43, 427–452.
Scheeres, D.J., Ostro, S.J., Hudson, R.S. and Werner, R.A.: 1996, Orbits close to asteroid 4769 Castalia, Icarus, 121, 67–87.
Scheeres, D.J., Ostro, S.J., Hudson, R.S., DeJong, E.M. and S. Suzuki: 1998a, Dynamics of Orbits Close to Asteroid 4179 Toutatis, Icarus, 132, 53–79.
Scheeres, D.J., Marzari, F., Tomasella, L. and Vanzani, V.: 1998b, ROSETTA mission: satellite orbits around a cometary nucleus, Planetary and Space Science, 46, 649–671.
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© 1999 Springer Science+Business Media Dordrecht
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Scheeres, D.J. (1999). The Effect of C 22 on Orbit Energy and Angular Momentum. In: Henrard, J., Ferraz-Mello, S. (eds) Impact of Modern Dynamics in Astronomy. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4527-5_34
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DOI: https://doi.org/10.1007/978-94-011-4527-5_34
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5930-5
Online ISBN: 978-94-011-4527-5
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