University of Surrey

Test tubes in the lab Research in the ATI Dance Research

A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics

Armellin, R and Topputo, F (2006) A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics Celestial Mechanics and Dynamical Astronomy, 96 (3-4). pp. 289-309.

Text (licence)
Available under License : See the attached licence file.

Download (33kB) | Preview


A sixth-order accurate scheme is presented for the solution of ODE systems supplemented by two-point boundary conditions. The proposed integration scheme is a linear multi-point method of sixth-order accuracy successfully used in fluid dynamics and implemented for the first time in astrodynamics applications. A discretization molecule made up of just four grid points attains a O(h 6) accuracy which is beyond the first Dahlquist's stability barrier. Astrodynamics applications concern the computation of libration point halo orbits, in the restricted three- and four-body models, and the design of an optimal control strategy for a low thrust libration point mission.

Item Type: Article
Subjects : Electronic Engineering
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Armellin, R
Topputo, F
Date : 1 November 2006
Identification Number : 10.1007/s10569-006-9047-4
Copyright Disclaimer : © Springer Science+Business Media B.V. 2006.
Uncontrolled Keywords : Non-linear boundary value problem, Restricted three-body problem, Halo orbits, Bicircular four-body problem
Depositing User : Symplectic Elements
Date Deposited : 30 Nov 2016 11:52
Last Modified : 31 Oct 2017 18:58

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800