NDLI: Analytical solution of generalized 3D proportional navigation

Content Provider	IEEE Xplore Digital Library
Author	Ciann-Dong Yang Chi-Ching Yang
Copyright Year	1995
Description	Author affiliation: Inst. of Aeronaut. & Astronaut., Nat. Cheng Kung Univ., Tainan, Taiwan (Ciann-Dong Yang; Chi-Ching Yang)
Abstract	The main goal of this paper is to establish a systematic analysis on three-dimensional (3D) guidance laws. The concept of generalized three-dimensional proportional navigation is introduced and its analytical solution is derived. The three second-order nonlinear differential equations describing the 3D pursuit-evasion scenario are obtained in terms of the unit angular momentum which is an useful index measuring the departure tendency of the relative motion from a fixed plane. The existing difficulties in solving this set of coupled nonlinear equations are conquered and the solution shows that many past studies on the two-dimensional proportional navigation are merely special cases of the present framework.
Starting Page	3974
Ending Page	3979
File Size	509455
Page Count	6
File Format	PDF
ISBN	0780326857
ISSN	01912216
DOI	10.1109/CDC.1995.479225
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-12-13
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Navigation Missiles Motion analysis Differential equations Nonlinear equations Extraterrestrial measurements Motion measurement Ear Control theory Councils
Content Type	Text
Resource Type	Article

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Analytical solution of generalized 3D proportional navigation