This article is cited in 5 papers

150th anniversary of S.V. Kovalevskaya

A Note on Geodesics on Ellipsoid

A. M. Perelomov

Institute for Theoretical and Experimental Physics, 117259 Moscow, Russia

Abstract: The purpose of this note is to show that the Jacobi problem of geodesics on ellipsoid [1], [2], [3] may be reduced to a more simple case, namely, to the Clebsch problem [4]. The last one is the problem with quadratic nonlinearity and may be solved directly by using of Weber's approach [5] in terms of multi-dimensional theta functions.

MSC: 22D20, 70E15, 70F15

Received: 03.11.1999

Language: English

DOI: 10.1070/RD2000v005n01ABEH000125

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