Asymptotic solution for the low-thrust restricted two-body problem

Sanjurjo Rivo, Manuel and Bombardelli, Claudio and Pelaez Alvarez, Jesus (2012). Asymptotic solution for the low-thrust restricted two-body problem. In: "2012 AIAA/AAS Astrodynamics Specialist Conference", 13-16 ago 2012, Minneapolis, Minnesota, USA. pp. 1-18. https://doi.org/10.2514/6.2012-4424.

Description

Title: Asymptotic solution for the low-thrust restricted two-body problem
Author/s:
  • Sanjurjo Rivo, Manuel
  • Bombardelli, Claudio
  • Pelaez Alvarez, Jesus
Item Type: Presentation at Congress or Conference (Article)
Event Title: 2012 AIAA/AAS Astrodynamics Specialist Conference
Event Dates: 13-16 ago 2012
Event Location: Minneapolis, Minnesota, USA
Title of Book: AIAA/AAS Astrodynamics Specialist Conference
Date: 2012
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A semi-analytical solution of the restricted two-body problem subject to an arbitrary low thrust is developed. The multiple scales perturbation method is used to split the problem into ?slow? and ?fast? scales. The small parameter that permits this approach is the ratio between thrust and gravitational acceleration. The thrust is expressed as a Fourier series expansion in terms of the fast scale, in which the coefficients are allowed to vary in the ?slow? scale. The spectral analysis of the equations of motion gives rise to reduced dynamics of the ?slow? motion. The results of the integration of this dynamical model are validated against the integration of the complete dynamics. Moreover, the preliminary results show that the propagation of the reduced dynamics are comparatively much more efficient than the complete dynamics, and show also the expected small errors of the method.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainAYA2010-18796UnspecifiedUnspecifiedSimulación dinámica de sistemas espaciales complejos

More information

Item ID: 52190
DC Identifier: http://oa.upm.es/52190/
OAI Identifier: oai:oa.upm.es:52190
DOI: 10.2514/6.2012-4424
Official URL: https://arc.aiaa.org/doi/10.2514/6.2012-4424
Deposited by: Memoria Investigacion
Deposited on: 18 Mar 2019 11:06
Last Modified: 18 Mar 2019 11:06
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