Three-Dimensional Atmospheric Entry Problem using Method of Matched Asymptotic Expansions

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The analysis of a three-dimensional atmospheric entry problem using the method of matched asymptotic expansions is considered. A composite solution is formed in terms of an outer solution, an inner solution, and a common solution. The outer solution is obtained from gravitationally dominant region, whereas the aerodynamically dominant region contributes to the inner solution. The common solution accounts for the overlap between the outer and inner regions. In comparison with previous works, the present simplified methodology yields explicit analytical expressions for various components of the composite solution without resorting to any type of transcendental equations to be solved only by numerical methods. The method is applicable for obtaining autonomous guidance and control strategies for a variety of aerospace vehicles.

Original languageEnglish (US)
Pages (from-to)660-667
Number of pages8
JournalIEEE Transactions on Aerospace and Electronic Systems
Issue number5
StatePublished - Sep 1989

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