A geodesic on a paraboloid has differential parameters defined by
The geodesic is then given by solving the Euler-Lagrange differential equation
As given by Weinstock (1974), the solution simplifies to
(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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