Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

New periodic orbits in the solar sail restricted three body problem

Biggs, J.D. and McInnes, C. and Waters, Thomas (2008) New periodic orbits in the solar sail restricted three body problem. In: 2nd Conference on Nonlinear Science and Complexity, 2008-07-28 - 2008-07-31, Porto, Portugal.

[img]
Preview
PDF (strathprints006056.pdf)
strathprints006056.pdf

Download (449kB) | Preview

Abstract

In this paper we consider periodic orbits of a solar sail in the Earth-Sun restricted three-body problem. In particular, we consider orbits which are high above the ecliptic plane, in contrast to the classical Halo orbits about the collinear equilibria. We begin with the Circular Restricted Three-Body Problem (CRTBP) where periodic orbits about equilibria are naturally present at linear order. Using the method of Lindstedt-Poincaré, we construct nth order approximations to periodic solutions of the nonlinear equations of motion. In the second part of the paper we generalize to the Elliptic Restricted Three Body Problem (ERTBP). A numerical continuation, with the eccentricity, e, as the varying parameter, is used to find periodic orbits above the ecliptic, starting from a known orbit at e = 0 and continuing to the required eccentricity of e = 0:0167. The stability of these periodic orbits is investigated.

Item type: Conference or Workshop Item (Paper)
ID code: 6056
Notes: Also in Book - Nonliner Science and Complexity, January 2011
Keywords: periodic orbits, solar sail, elliptic three body problem, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Aerospace Engineering, Control and Systems Engineering
Subjects: Technology > Mechanical engineering and machinery
Technology > Motor vehicles. Aeronautics. Astronautics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Depositing user: Strathprints Administrator
Date Deposited: 09 May 2008
Last modified: 15 Apr 2015 14:18
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/6056

Actions (login required)

View Item View Item