@inproceedings{63c6d494666b4a32bf8d02b262e994cf,
title = "Extension and enhancement of the Allen-Eggers analytic solution for ballistic entry trajectories",
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.",
author = "Putnam, {Zachary R.} and Braun, {Robert D.}",
year = "2014",
doi = "10.2514/6.2014-2381",
language = "English (US)",
isbn = "9781624102943",
series = "AIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference",
publisher = "American Institute of Aeronautics and Astronautics Inc.",
booktitle = "AIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference",
note = "AIAA AVIATION 2014 -AIAA Atmospheric Flight Mechanics Conference 2014 ; Conference date: 16-06-2014 Through 20-06-2014",
}