Higher order polynomial series expansion for uncertain lambert problem

Zach Hall, Puneet Singla

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

2 Scopus citations

Abstract

In this paper, the Uncertain Lambert Problem is solved using higher order polynomial series instead of the conventional first order one used in linear analysis. Coefficients of the polynomial series are computed in a Jacobian free manner, providing a computationally tractable approach. This polynomial series is exploited to compute the density function for the Lambert solution given the probability density function for initial and final position vector. Non product quadrature method known as the Conjugate Unscented Transformation (CUT) approach is used to construct coefficients of polynomial series by solving a minimal number of Lambert problems through the intelligent sampling of the uncertain initial and final position vector space. Numerical simulation results are presented to validate the proposed approach.

Original languageEnglish (US)
Title of host publicationAAS/AIAA Astrodynamics Specialist Conference, 2018
EditorsPuneet Singla, Ryan M. Weisman, Belinda G. Marchand, Brandon A. Jones
PublisherUnivelt Inc.
Pages2311-2328
Number of pages18
ISBN (Print)9780877036579
StatePublished - Jan 1 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2018 - Snowbird, United States
Duration: Aug 19 2018Aug 23 2018

Publication series

NameAdvances in the Astronautical Sciences
Volume167
ISSN (Print)0065-3438

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference, 2018
CountryUnited States
CitySnowbird
Period8/19/188/23/18

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Fingerprint Dive into the research topics of 'Higher order polynomial series expansion for uncertain lambert problem'. Together they form a unique fingerprint.

  • Cite this

    Hall, Z., & Singla, P. (2018). Higher order polynomial series expansion for uncertain lambert problem. In P. Singla, R. M. Weisman, B. G. Marchand, & B. A. Jones (Eds.), AAS/AIAA Astrodynamics Specialist Conference, 2018 (pp. 2311-2328). (Advances in the Astronautical Sciences; Vol. 167). Univelt Inc..