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单词 Paraboloid Geodesic
释义

Paraboloid Geodesic

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)

See also Geodesic


References

Weinstock, R. Calculus of Variations, with Applications to Physics and Engineering. New York: Dover, p. 45, 1974.


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更新时间:2025/2/22 2:17:32