Minimum-Time Interception with a Tangent Impulse
Publication: Journal of Aerospace Engineering
Volume 28, Issue 2
Abstract
The minimum-time coplanar interception problem with an upper-bounded tangent impulse for a nonmaneuvering target is studied. This problem requires the same flight time for two spacecraft and a transfer orbit tangent to the initial orbit. For a given impulse point, the transfer time for any conic orbit is a function only of the true anomaly of the target orbit; then the minimum-time orbit is determined by comparing all feasible solutions that are obtained by the secant method in the range of solution existence. Moreover, the true-anomaly range of the target orbit is derived for an upper bound on the magnitude of the tangent impulse. Finally, the global minimum-time solution with initial coasting time is obtained by numerical optimization algorithms. An example is given to apply the proposed technique for all the minimum revolution-number solutions at different impulse points and the global minimum-time solution.
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Acknowledgments
This work is supported in part by the China Postdoctoral Science Foundation funded project (Grant number 2012M520753), the National Natural Scientific Foundation of China (Grant number 61273096), and the Fundamental Research Funds for the Central Universities (Grant number HIT.NSRIF.2014307).
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Published In
Journal of Aerospace Engineering
Volume 28 • Issue 2 • March 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 15, 2013
Accepted: Oct 3, 2013
Published online: Oct 5, 2013
Discussion open until: Nov 27, 2014
Published in print: Mar 1, 2015
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