Differential algebra techniques for space applications

Martín Ávila, Javier (2012). Differential algebra techniques for space applications. Proyecto Fin de Carrera / Trabajo Fin de Grado, E.T.S.I. Aeronáuticos (UPM), Madrid.

Description

Title: Differential algebra techniques for space applications
Author/s:
  • Martín Ávila, Javier
Contributor/s:
  • Cano, Juan Luis
  • Bellei, Gabriele
  • Perales Perales, José Manuel
Item Type: Final Project
Date: 2012
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This project investigates the utility of differential algebra (DA) techniques applied to the problem of orbital dynamics with initial uncertainties in the orbital determination of the involved bodies. The use of DA theory allows the splitting of a common Monte Carlo simulation in two parts: the generation of a Taylor map of the final states with regard to the perturbation in the initial coordinates, and the evaluation of the map for many points. A propagator is implemented exploiting DA techniques, and tested in the field of asteroid impact risk monitoring with the potentially hazardous 2011 AG5 and 2007 VK184 as test cases. Results show that the new method is able to simulate 2.5 million trajectories with a precision good enough for the impact probability to be accurately reproduced, while running much faster than a traditional Monte Carlo approach (in 1 and 2 days, respectively).

More information

Item ID: 14173
DC Identifier: http://oa.upm.es/14173/
OAI Identifier: oai:oa.upm.es:14173
Deposited by: Archivo Digital UPM
Deposited on: 17 Dec 2012 11:04
Last Modified: 21 Apr 2016 13:41
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