Stumpff function
id:
stumpff-function-207-3433306
title:
Stumpff function
text:
In celestial mechanics, the Stumpff functions c k , were developed by Karl Stumpff for analyzing trajectories and orbits using the universal variable formulation.
They are defined by the alternating series:
- c k ≡ 1 k! − x ! + x 2 ! − ⋯ = ∑ n = 0 ∞ n x n ! for k = 0, 1, 2, 3, … . Like the sine, cosine, and exponential functions, Stumpf functions are well-behaved entire functions : Their series converge absolutely for any finite argument x .
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Stumpff_function
date created:
2008-12-08T09:36:10Z
date modified:
2024-09-10T22:38:26Z
main entity:
{"identifier":"Q3075207","url":"https://www.wikidata.org/entity/Q3075207"}
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13
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14