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Solving Lunar problem via perturbed K–S equation

✍ Scribed by Jan Vrbik

Book ID
103852103
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
179 KB
Volume
11
Category
Article
ISSN
1384-1076

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✦ Synopsis

We demonstrate how to solve the Kustaanheimo-Stiefel formulation of the perturbed Kepler problem using, as an example, the traditional benchmark of the Lunar problem. The main features of the (rather complicated) moonÕs motion are then derived in a relatively elementary manner.

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## Abstract We design and implement two non‐standard finite difference methods (NSFDMs) to solve singularly perturbed advection–reaction equations (SPARE). Our methods constitute a big plus to the class of those ‘rare’ fitted operator methods, which can be extended to singularly perturbed partial d