Second order, nonlinear, differential equations of motion of rocket in drag-free powered flight under constant tangential thrust are solved by series expansion developed to seventh power of time which is independent variable; coefficients of each power of time are determined in terms of preceding ones, and consequently in terms of given initial conditions; truncation errors of series are estimated, and accuracy of all elements for any practical problem can be evaluated; case of constant tangential thrust acceleration is also solved.
Powered flight trajectories of rockets under constant tangential thrust
J Astronautical Sciences
Journal of the Astronautical Sciences ; 12 , n 1
1965
6 pages
Article (Journal)
English
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