A Variable-Step Double-Integration Multi-Step Integrator

Thumbnail Image

Files

2004-berry-healy-sfm-presentation.pdf (143.4 KB)
No. of downloads: 1109
2004-berry-healy-sfm.pdf (283.94 KB)
No. of downloads: 1266

Publication or External Link

Date

2004-02

Authors

Advisor

Citation

in Coffey, Mazzoleni, Luu, Glover, eds., Spaceflight Mechanics 2004: Proceedings of the 14th AAS/AIAA Space Flight Mechanics Meeting held Feb. 8-12, 2004, Maui, Hawai'i, Advances in the Astronautical Sciences, Volume 119, pp. 2097-2116. Paper AAS 04-238.

DRUM DOI

Abstract

A variable-step double-integration multi-step integrator is derived using divided differences. The derivation is based upon the derivation of Shampine-Gordon, a single-integration method. Variable-step integrators are useful for propagating elliptical orbits, because larger steps can be taken near apogee. As a double-integration method, the integrator performs only one function evaluation per step, whereas Shampine-Gordon requires two evaluations per step, giving the integrator a significant speed advantage over Shampine-Gordon. Though several implementation issues remain, preliminary results show the integrator to be effective.

Notes

See also the dissertation of Matt Berry at http://scholar.lib.vt.edu/theses/available/etd-04282004-071227/

URI (handle)

http://hdl.handle.net/1903/3025

Rights

Collections

Aerospace Engineering Research Works