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) |

(5) |

**References**

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

© 1996-9

1999-05-26