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Science 16 February 1990:
Vol. 247. no. 4944, pp. 833 - 836
DOI: 10.1126/science.247.4944.833
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Articles

Painting the Phase Space Portrait of an Integrable Dynamical System

Shannon Coffey 1, André Deprit 2, Etienne Deprit 1, and Liam Healy 1

1 Naval Center for Space Technology, Naval Research Laboratory, Washington, DC 20375
2 National Institute of Standards and Technology, Gaithersburg, MD 20899

For an integrable dynamical system with one degree of freedom, "painting" the integral over the phase space proves to be very effective for uncovering the global flow down to minute details. Applied to the main problem in artificial satellite theory, for instance, the technique reveals an intricate configuration of equilibria and bifurcations when the polar component of the angular momentum approaches zero.

Submitted on August 29, 1989
Accepted on November 20, 1989


THIS ARTICLE HAS BEEN CITED BY OTHER ARTICLES:
Celestial Mechanics on a Microscopic Scale.
T. UZER, D. FARRELLY, J. A. MILLIGAN, PAUL. E. RAINES, and J. P. SKELTON (1991)
Science 253, 42-48
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