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Optimum thrust programming for a sounding rocket

Tsien, H. S. and Evans, Robert C. (1951) Optimum thrust programming for a sounding rocket. Journal of the American Rocket Society, 21 . pp. 99-107.

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The problem of optimal thrust programming for a sounding rocket of minimum starting weight to reach specified height with given final weight and propellant characteristics is first formulated as a problem in variational calculus. The general solution for arbitrary drag function is given. The solution is then applied to two special cases, one with quadratic drag dependence on velocity and the other with linear drag dependence on velocity. Complete numerical data are given. The results are then compared with the results of constant thrust to show the advantages of thrust programming. Thrust programming is shown to be able to increase appreciably the pay load of a high altitude sounding rocket.

Item Type:Article
Additional Information:© 1951 American Rocket Society. Received April 16, 1951.
Group:Guggenheim Jet Propulsion Center
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Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion Center Publication006
Record Number:CaltechAUTHORS:JPC006
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14821
Deposited By: George Porter
Deposited On:11 Aug 2009 23:32
Last Modified:03 Oct 2019 00:52

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