A new time-explicit J2-perturbed nonlinear relative orbit model with perturbation solutions

Eric A. Butcher; Ethan Burnett; Jingwei Wang; T. Alan Lovell

A new time-explicit J2-perturbed nonlinear relative orbit model with perturbation solutions

Eric A. Butcher, Ethan Burnett, Jingwei Wang, T. Alan Lovell

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A new J2-perturbed time-explicit relative orbit model is developed including the effects of nonlinearities up to third order, chief orbit eccentricity, and J2 perturbation of both the chief and deputy orbits. The J2 acceleration is not averaged and the kinematics for perturbed relative motion are treated correctly. Numerical simulations for the case of vanishing chief eccentricity illustrate the lower error of the proposed model compared with that of the HCW solution. Finally, a perturbation technique is used to obtain analytical J2-dependent corrections to the HCW solution and to previously obtained analytical perturbation solutions that account for nonlinearity effects and chief orbit eccentricity, which are special cases of the J2-dependent analytical solution obtained here.

Original language	English (US)
Title of host publication	ASTRODYNAMICS 2017
Editors	John H. Seago, Nathan J. Strange, Daniel J. Scheeres, Jeffrey S. Parker
Publisher	Univelt Inc.
Pages	2667-2684
Number of pages	18
ISBN (Print)	9780877036456
State	Published - 2018
Event	AAS/AIAA Astrodynamics Specialist Conference, 2017 - Stevenson, United States Duration: Aug 20 2017 → Aug 24 2017

Publication series

Name	Advances in the Astronautical Sciences
Volume	162
ISSN (Print)	0065-3438

Other

Other	AAS/AIAA Astrodynamics Specialist Conference, 2017
Country/Territory	United States
City	Stevenson
Period	8/20/17 → 8/24/17

ASJC Scopus subject areas

Aerospace Engineering
Space and Planetary Science

Cite this

A new time-explicit J2-perturbed nonlinear relative orbit model with perturbation solutions. / Butcher, Eric A.; Burnett, Ethan; Wang, Jingwei et al.
ASTRODYNAMICS 2017. ed. / John H. Seago; Nathan J. Strange; Daniel J. Scheeres; Jeffrey S. Parker. Univelt Inc., 2018. p. 2667-2684 (Advances in the Astronautical Sciences; Vol. 162).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Butcher, EA, Burnett, E, Wang, J & Lovell, TA 2018, A new time-explicit J2-perturbed nonlinear relative orbit model with perturbation solutions. in JH Seago, NJ Strange, DJ Scheeres & JS Parker (eds), ASTRODYNAMICS 2017. Advances in the Astronautical Sciences, vol. 162, Univelt Inc., pp. 2667-2684, AAS/AIAA Astrodynamics Specialist Conference, 2017, Stevenson, United States, 8/20/17.

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N2 - A new J2-perturbed time-explicit relative orbit model is developed including the effects of nonlinearities up to third order, chief orbit eccentricity, and J2 perturbation of both the chief and deputy orbits. The J2 acceleration is not averaged and the kinematics for perturbed relative motion are treated correctly. Numerical simulations for the case of vanishing chief eccentricity illustrate the lower error of the proposed model compared with that of the HCW solution. Finally, a perturbation technique is used to obtain analytical J2-dependent corrections to the HCW solution and to previously obtained analytical perturbation solutions that account for nonlinearity effects and chief orbit eccentricity, which are special cases of the J2-dependent analytical solution obtained here.

AB - A new J2-perturbed time-explicit relative orbit model is developed including the effects of nonlinearities up to third order, chief orbit eccentricity, and J2 perturbation of both the chief and deputy orbits. The J2 acceleration is not averaged and the kinematics for perturbed relative motion are treated correctly. Numerical simulations for the case of vanishing chief eccentricity illustrate the lower error of the proposed model compared with that of the HCW solution. Finally, a perturbation technique is used to obtain analytical J2-dependent corrections to the HCW solution and to previously obtained analytical perturbation solutions that account for nonlinearity effects and chief orbit eccentricity, which are special cases of the J2-dependent analytical solution obtained here.

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BT - ASTRODYNAMICS 2017

A2 - Seago, John H.

A2 - Strange, Nathan J.

A2 - Scheeres, Daniel J.

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T2 - AAS/AIAA Astrodynamics Specialist Conference, 2017

Y2 - 20 August 2017 through 24 August 2017

ER -

A new time-explicit J2-perturbed nonlinear relative orbit model with perturbation solutions

Abstract

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Other

ASJC Scopus subject areas

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