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2.
Science ; 247(4944): 833-6, 1990 Feb 16.
Artigo em Inglês | MEDLINE | ID: mdl-17746077

RESUMO

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.

3.
Science ; 168(3939): 1569-70, 1970 Jun 26.
Artigo em Inglês | MEDLINE | ID: mdl-17759336

RESUMO

Delaunay's reduced Hamiltonian of the main problem in lunar theory is checked against a new analytical theory based on Lie transforms. It is found to be correct up to order 9 with the exception of one error in addition at order 7.

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