Extension and enhancement of the Allen-Eggers analytic solution for ballistic entry trajectories

Zachary R. Putnam, Robert D. Braun

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 ight-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 coeficients entries at Earth with initial ight-path angles steeper than -7 deg.

Original languageEnglish (US)
Title of host publicationAIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624102943
StatePublished - Jan 1 2014
Externally publishedYes
EventAIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference 2014 - Atlanta, GA, United States
Duration: Jun 16 2014Jun 20 2014

Publication series

NameAIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference

Other

OtherAIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference 2014
CountryUnited States
CityAtlanta, GA
Period6/16/146/20/14

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ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Putnam, Z. R., & Braun, R. D. (2014). Extension and enhancement of the Allen-Eggers analytic solution for ballistic entry trajectories. In AIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference (AIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference). American Institute of Aeronautics and Astronautics Inc..