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Asymptotic Solution for the Two Body Problem with Radial Perturbing Acceleration

Gonzalo Gomez, Juan Luis and Bombardelli, Claudio (2014). Asymptotic Solution for the Two Body Problem with Radial Perturbing Acceleration. In: "SpaceFlight Mechanics 2014", 26-30 Ene 2014, Santa Fe, New Mexico (EEUU). ISBN 978-0-87703-611-1.. pp. 359-377.

Description

Title: Asymptotic Solution for the Two Body Problem with Radial Perturbing Acceleration
Author/s:
  • Gonzalo Gomez, Juan Luis
  • Bombardelli, Claudio
Item Type: Presentation at Congress or Conference (Article)
Event Title: SpaceFlight Mechanics 2014
Event Dates: 26-30 Ene 2014
Event Location: Santa Fe, New Mexico (EEUU)
Title of Book: Spaceflight Mechanics 2014
Date: 2014
ISBN: 978-0-87703-611-1.
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

In this article, an approximate analytical solution for the two body problem perturbed by a radial, low acceleration is obtained, using a regularized formulation of the orbital motion and the method of multiple scales. The results reveal that the physics of the problem evolve in two fundamental scales of the true anomaly. The first one drives the oscillations of the orbital parameters along each orbit. The second one is responsible of the long-term variations in the amplitude and mean values of these oscillations. A good agreement is found with high precision numerical solutions.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainAYA2010-18796UnspecifiedUnspecifiedUnspecified

More information

Item ID: 37184
DC Identifier: http://oa.upm.es/37184/
OAI Identifier: oai:oa.upm.es:37184
Deposited by: Memoria Investigacion
Deposited on: 21 Jul 2015 08:55
Last Modified: 06 Jun 2016 11:23
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