Compact solution of circular orbit relative motion in curvilinear coordinates

Bombardelli, Claudio and Gonzalo Gomez, Juan Luis and Roa Vicens, Javier (2016). Compact solution of circular orbit relative motion in curvilinear coordinates. In: "AAS/AIAA Astrodynamics Conference 2015", Aug 9-13 2015, Vail, Colorado.

Description

Title: Compact solution of circular orbit relative motion in curvilinear coordinates
Author/s:
  • Bombardelli, Claudio
  • Gonzalo Gomez, Juan Luis
  • Roa Vicens, Javier
Item Type: Presentation at Congress or Conference (Article)
Event Title: AAS/AIAA Astrodynamics Conference 2015
Event Dates: Aug 9-13 2015
Event Location: Vail, Colorado
Title of Book: Advances in the Astronautical Sciences Astrodynamics
Date: 2016
Volume: 156
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A compact approximate solution of the highly non-linear relative motion in curvilinear coordinates is provided under the assumption of circular orbit for the chief spacecraft and moderately small inclination and eccentricity for the follower. The rather compact three-dimensional solution, which employs time as independent variable, is obtained by algebraic manipulation of the individual Keplerian motions in curviinear coordinates and Taylor expansion for small eccentricity of the follower orbit. Numerical test cases are conducted to show that the approximate solution can be effectively employed to extend the classical linear Clohessy-Wiltshire solution to include non-linear relative motion without significant loss of accuracy up to a limit of 0.4-0.5 in eccentricity and a few degrees in inclination.

More information

Item ID: 45034
DC Identifier: http://oa.upm.es/45034/
OAI Identifier: oai:oa.upm.es:45034
Deposited by: Memoria Investigacion
Deposited on: 05 May 2017 12:24
Last Modified: 05 May 2017 12:24
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