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math-ph2006★ 5 cited
Geodesic flow on three dimensional ellipsoids with equal semi-axes
Chris M. Davison, Holger R. Dullin
Following on from our previous study of the geodesic flow on three dimensional ellipsoid with equal middle semi-axes, here we study the remaining cases: Ellipsoids with two sets of…
math-ph2006★ 25 cited
Geodesics on the Ellipsoid and Monodromy
Chris M. Davison, Holger R. Dullin, Alexey V. Bolsinov
The equations for geodesic flow on the ellipsoid are well known, and were first solved by Jacobi in 1838 by separating the variables of the Hamilton-Jacobi equation. In 1979 Moser…