Stumpff Function -- from Eric Weisstein's World of Physics

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Stumpff Function

A function used in the universal variables solution to the orbital equation. The Stumpff function is defined by

(1)

for k = 0, 1, 2, .... It satisfies the recurrence relation

(2)

The first two values are

(3)
(4)




References

Danby, J. M. Fundamentals of Celestial Mechanics, 2nd ed., rev. ed. Richmond, VA: Willmann-Bell, pp. 170-178, 1988.



© 1996-2007 Eric W. Weisstein

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