A relation in families of periodic solutions

Details A relation in families of periodic solutions A relation in families of periodic solutions

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15...99h&link_type=abstract

Celestial Mechanics, vol. 15, Feb. 1977, p. 99-105.

Mathematics

Dynamical Systems

1

Angular Momentum, Dynamic Models, Equations Of Motion, Periodic Functions, Coordinates, Degrees Of Freedom, Many Body Problem, Partial Differential Equations, Symmetry

Scientific paper

The existence of a general relation between the parameters of periodic solutions in dynamical systems with ignorable coordinates is shown. In particular, for time-independent systems with an axis of symmetry, the relation states that the partial derivative of the period with respect to angular momentum equals the negative of the partial derivative of the angle through which the system has rotated after one period with respect to the energy.

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