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Optimum instantaneous impulsive orbital injection to attain a specified asymptotic velocity vector.A nalysis of the necessary conditions of Battin for instantaneous orbital injection, with consideration of the uniqueness of his solution, and of the further problem which arises in the degenerate case when radius vector and asymptotic vector are separated by 180 deg. It is shown that when the angular separation between radius vector and asymptotic velocity vector satisfies theta not equal to 180 deg, there are precisely two insertion-velocity vectors which permit attainment of the target asymptotic velocity vector, one yielding posigrade, the other retrograde motion. When theta equals to 180 deg, there is a family of insertion-velocity vectors which permit attainment of a specified asymptotic velocity vector with a unique insertion-velocity vector for every arbitrary orientation of a target unit angular momentum vector.
Document ID
19720030171
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Bean, W. C.
(NASA Manned Spacecraft Center Houston, Tex., United States)
Date Acquired
August 6, 2013
Publication Date
March 1, 1971
Publication Information
Publication: Astronautica Acta
Volume: 16
Subject Category
Space Sciences
Accession Number
72A13837
Distribution Limits
Public
Copyright
Other

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