Jacobi's solution for geodesics on a triaxial ellipsoid

📝 Original Info

• Title: Jacobi’s solution for geodesics on a triaxial ellipsoid
• ArXiv ID: 2511.01621
• Date: 2025-11-03
• Authors: 논문에 명시된 저자 정보가 제공되지 않았습니다. (가능하면 원문에서 확인 필요)

📝 Abstract

On Boxing Day, 1838, Jacobi found a solution to the problem of geodesics on a triaxial ellipsoid, with the course of the geodesic and the distance along it given in terms of one-dimensional integrals. Here, a numerical implementation of this solution is described. This entails accurately evaluating the integrals and solving the resulting coupled system of equations. The inverse problem, finding the shortest path between two points on the ellipsoid, can then be solved using a similar method as for biaxial ellipsoids.

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