Powered-Flight Trajectories of Rockets Under Constant Transverse Thrust

[+] Author and Article Information
Chong-Hung Zee

Engineering Department, Wright Aeronautical Division, Curtiss-Wright Corporation, Wood-Ridge, N. J.

J. Appl. Mech 30(4), 559-561 (Dec 01, 1963) (3 pages) doi:10.1115/1.3636618 History: Received September 28, 1962; Online September 16, 2011


The second-order nonlinear differential equations of motion in the case of a rocket in drag-free powered-flight under constant transverse (normal to the focal radius) thrust are solved by series expansion developed to the seventh power of the independent variable “time.” The coefficients of the powers of time are in terms of given boundary conditions. The truncation errors of the series are estimated, hence the accuracy for any practical problem based on the analysis presented in this paper could be well established. The case of constant transverse thrust acceleration, which may be conceived as a special case of the present analysis, is also solved.

Copyright © 1963 by ASME
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