Title:
Extension and Enhancement of the Allen-Eggers Analytic Solution for Ballistic Entry Trajectories

Thumbnail Image
Author(s)
Putnam, Zachary R.
Braun, Robert D.
Authors
Advisor(s)
Advisor(s)
Editor(s)
Associated Organization(s)
Series
Supplementary to
Abstract
The closed-form analytic solution to the equations of motion for ballistic entry developed by Allen and Eggers is extended and enhanced with a method of choosing an appropriate constant flight-path angle, limits based on the equations of motion and acceptable ap- proximation error are proposed that bound the domain of applicability, and closed-form expressions for range and time-dependency. The expression developed for range to go exhibits error that may low enough for onboard drag-modulation guidance and targeting systems. These improvements address key weaknesses in the original approximate solution. Results show that the extended and enhanced Allen-Eggers solution provides good accuracy across a range of ballistic coefficients entries at Earth with initial flight-path angles steeper than -7 deg.
Sponsor
Date Issued
2014-06
Extent
Resource Type
Text
Resource Subtype
Paper
Rights Statement
Unless otherwise noted, all materials are protected under U.S. Copyright Law and all rights are reserved