Optimal-feedback accelerated picard iteration methods and a fish-scale growing method for wide-ranging and multiple-revolution perturbed lambert’s problems

Xuechuan Wang, Satya N. Atluri

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

Abstract

Wide-ranging and multiple-revolution perturbed Lambert’s problems are building blocks for practical missions such as development of cislunar space, interplanetary navigation, orbital rendezvous, etc. However, it is of a great challenge to solve these problems both accurately and efficiently, considering the long transfer time and the complexity of high-fidelity modeling of space environment. For that, a methodology combining Optimal-Feedback Accelerated Picard Iteration methods and Fish-Scale Growing Method is demonstrated. The resulting iterative formulae are explicitly derived and applied to restricted three-body problems and multi-revolution earth rendezvous problem. The examples demonstrate the validity and high efficiency of the proposed methods.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2019
EditorsFrancesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti
PublisherUnivelt Inc.
Pages3107-3121
Number of pages15
ISBN (Print)9780877036593
StatePublished - 2019
Event29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States
Duration: Jan 13 2019Jan 17 2019

Publication series

NameAdvances in the Astronautical Sciences
Volume168
ISSN (Print)0065-3438

Conference

Conference29th AAS/AIAA Space Flight Mechanics Meeting, 2019
CountryUnited States
CityMaui
Period01/13/1901/17/19

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    Wang, X., & Atluri, S. N. (2019). Optimal-feedback accelerated picard iteration methods and a fish-scale growing method for wide-ranging and multiple-revolution perturbed lambert’s problems. In F. Topputo, A. J. Sinclair, M. P. Wilkins, & R. Zanetti (Eds.), Spaceflight Mechanics 2019 (pp. 3107-3121). [AAS 19-286] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..