New Formulation for Time Derivatives of Instantaneous Impact Point Based on Geometric Decomposition
Publication: Journal of Aerospace Engineering
Volume 31, Issue 4
Abstract
A new analytic formulation to express the time derivatives of the instantaneous impact point (IIP) of a rocket is proposed. The geometric relationship on a plane tangential to the IIP is used to decompose the inertial IIP rate vector into the downrange and crossrange components, and a systematic procedure to determine the component values is presented. The new formulation shows significant advantages over the existing formulation such that the procedure and final expressions for the IIP derivatives are easy to understand and more compact. The validity of the proposed formulation was demonstrated through numerical simulation.
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Acknowledgments
This work was prepared at the Korea Advanced Institute of Science and Technology, Department of Aerospace Engineering, under a research grant from the National Research Foundation of Korea (NRF-2013M1A3A3A02042461). The authors thank the National Research Foundation of Korea for the support of this work.
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Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 31 • Issue 4 • July 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Oct 28, 2017
Accepted: Jan 10, 2018
Published online: Apr 20, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 20, 2018
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