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Effects of inclination and eccentricity on optimal trajectories between earth and VenusThe true optimal transfers, including the effects of the inclination and eccentricity of the planets' orbits, between earth and Venus are presented as functions of the corresponding idealized Hohmann transfers. The method of determining the optimal transfers using the calculus of variations is presented. For every possible Hohmann window, specified as a continuous function of the longitude of perihelion of the Hohmann trajectory, the corresponding numerically exact optimal two-impulse transfers are given in graphical form. The cases for which the optimal two-impulse transfer is the absolute optimal, and those for which a three-impulse transfer provides the absolute optimal transfer are indicated. This information furnishes everything necessary for quick and accurate orbit calculations for preliminary Venus mission analysis. This makes it possible to use the actual optimal transfers for advanced planning in place of the standard Hohmann transfers.
Document ID
19740030808
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Gravier, J.-P.
(Pontificia Universidade Catolica, Rio de Janeiro, Brazil)
Marchal, C.
(ONERA Chatillon-sous-Bagneux, Hauts-de-Seine, France)
Culp, R. D.
(Colorado, University Boulder, Colo., United States)
Date Acquired
August 7, 2013
Publication Date
October 1, 1973
Publication Information
Publication: Astronautica Acta
Volume: 18
Subject Category
Space Sciences
Accession Number
74A13558
Funding Number(s)
CONTRACT_GRANT: NGR-06-003-033
CONTRACT_GRANT: F33615-71-C-1103
Distribution Limits
Public
Copyright
Other

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