F- and G-Functions -- from Eric Weisstein's World of Physics

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F- and G-Functions

Functions that arise in the solution for an orbit. They are defined such that in the orbital reference system,

(1)

In component form

(2)

Therefore,

(3)

Writing these out,

(4)
(5)

where
(6)

as shown in orbital reference system

(7)

where h is the specific angular momentum.

f- and g-Series, Stumpff Function




References

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



© 1996-2007 Eric W. Weisstein

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