Functions that arise in the solution for an orbit. They are defined such that in the orbital reference system,
In component form
Therefore,
Writing these out,
as shown in orbital reference system
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.