Abstract
The object of the present article is a detailed numerical investigation of the perturbation on the orbit of a satellite, caused by the pear- shape or J3-Harmonic of the central body. We principally use concepts from the general theory of periodic orbits, such as Poincaré surfaces of section, stability theory, characteristic exponents and bifurcations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aksnes, K., 1970, “A Second-Order Artificial Satellite Theory Based on an Intermediate Orbit”, Astronomical Journal, Vol.75, No.9, pp. 1066–1076.
Battin, R.H., 1987, “An Introduction to the Mathematics and Methods of Astrodynamics,” AIAA Education Series, New York.
Broucke, R. and Kim, M.C., 1990, “The Orbit in the J2-Problem” Celestial Mechanics, in Press.
Brouwer, D., “The Solution of the Problem of Artificial Satellite Theory without Drag,” Astronomical Journal, Vol.64, 1959, pp.378–397.
Coffey, S.. Deprit, A., Deprit E., Healy, L., 1990, “Painting the Phase Portrait of an Integrable Dynamical System,” in Science, Vol. 247, 16 February 1990, pp. 769–892.
Deprit, A., 1981, “The Elimination of the Parallax in Satellite Theory,” Celestial Mechanics, Vol.24 pp. 111–153.
Garfinkel, B., 1959, “The Orbit of a Satellite of an Oblate Planet,” Astronomical Journal, Vol. 64 pp. 353–367.
Hall, N.S., “A Class of Orbits”, ARS-Journal, Jan. 1962, pp. 96–97.
Hill, G.W., 1913, Astronomical Journal 27 p. 171.
Jupp, A., 1987, “The Critical Inclination, 30 years of progress,” Celestial Mechanics, Vol. 43 No. 3–4, pp. 127–138.
Konopliv, A., “Theory of Co-orbital Motion,” Ph. Dissertation, University of Texas, May 1986, Supervisor R. Broucke
Kozai,Y., 1959, “The Motion of a Close Earth Satellite,” Astronomical Journal, Vol. 64 pp. 367–377.
Zare, K., 1983, “The Possible Motions of & Satellite about an Oblate Planet”, Celestial Mechanics, Vol. 30, pp. 49–58.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Broucke, R.A. (1991). The Effects of the J3-Harmonic (Pear Shape) on the Orbits of a Satellite. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_27
Download citation
DOI: https://doi.org/10.1007/978-1-4684-5997-5_27
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5999-9
Online ISBN: 978-1-4684-5997-5
eBook Packages: Springer Book Archive