2005/03/13 | 抛物面测地线[Paraboloid Geodesic]
类别(∑〖数学〗) | 评论(0) | 阅读(50) | 发表于 12:39
A geodesic on a paraboloid has differential parameters defined by

(1)


(2)

(3)

The geodesic is then given by solving the Euler-Lagrange differential equation
(4)

As given by Weinstock (1974), the solution simplifies to
(5)



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