Painting the Phase Space Portrait of an Integrable Dynamical System

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Science  16 Feb 1990:
Vol. 247, Issue 4944, pp. 833-836
DOI: 10.1126/science.247.4944.833


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.

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