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Some remarks on elliptic coordinates

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Abstract

A coordinate-free exposition of the theory of multidimensional Jacobi coordinates, which are used to integrate the equations of geodesics on an ellipsoid as well as other equations, is given. Generalizations of the theorems of Newton and Ivory, concerning the attraction field produced by an ellipsoid, are given.

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Authors
  1. V. I. Arnol'd
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 133, pp. 38–50, 1984.

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Arnol'd, V.I. Some remarks on elliptic coordinates. J Math Sci 31, 3280–3289 (1985). https://doi.org/10.1007/BF02107229

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  • DOI: https://doi.org/10.1007/BF02107229

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