A relation in families of periodic solutions |
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Authors: | M Hénon |
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Institution: | (1) Observatoire de Nice, France |
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Abstract: | We show the existence of a general relation between the parameters of periodic solutions in dynamical systems with ignorable coordinates. In particular, for time-independent systems with an axis of symmetry, the relation takes the form T/A=–/E, whereT is the period,A is the angular momentum, is the angle through which the system has rotated after one period, andE is the energy. |
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