@inproceedings{cd0a30c1f6844a588e73500e24b35dc6,
title = "SEMI-ANALYTIC SOLUTIONS TO THE HAMILTON-JACOBI EQUATION WITH APPLICATIONS TO ORBIT PROPAGATION IN PERTURBED TWO-BODY REGIMES",
abstract = "A systematic numerical approach to solve the Hamilton-Jacobi partial differential equation is proposed in this paper. Advances in sparse collocation methods are utilized to develop an algorithm to obtain an approximate functional form for the generating function. By employing a family of trajectories in the domain of the relevant phase volume, the generating function is formulated that governs the transformation of coordinates to rectify the motion of a dynamical system. The utility of this method is demonstrated by obtaining a semi-analytic solution to the main problem in artificial satellite theory.",
author = "Eapen, {Roshan Thomas} and Manoranjan Majji and Alfriend, {Kyle T.} and Puneet Singla",
note = "Funding Information: The research described in this paper was carried out at and supported by the Department of Aerospace Engineering, Texas A&M University. This material is based upon the work jointly supported by the U.S. Air Force Office of Scientific Research (FA9550-15-1-0313 and FA9550-17-1-0088), and by the National Science Foundation under Award No. NSF CMMI1634590 Publisher Copyright: {\textcopyright} 2021, Univelt Inc. All rights reserved.; AAS/AIAA Astrodynamics Specialist Conference, 2020 ; Conference date: 09-08-2020 Through 12-08-2020",
year = "2021",
language = "English (US)",
isbn = "9780877036753",
series = "Advances in the Astronautical Sciences",
publisher = "Univelt Inc.",
pages = "3403--3422",
editor = "Wilson, {Roby S.} and Jinjun Shan and Howell, {Kathleen C.} and Hoots, {Felix R.}",
booktitle = "ASTRODYNAMICS 2020",
address = "United States",
}