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Periodic orbits above the ecliptic plane in the solar sail restricted 3-body problem

Waters, T. and McInnes, C.R. (2007) Periodic orbits above the ecliptic plane in the solar sail restricted 3-body problem. Journal of Guidance, Control and Dynamics, 30 (3). pp. 687-693. ISSN 0731-5090

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Abstract

We consider periodic orbits in the circular restricted three-body problem, where the third (small) body is a solar sail. In particular, we consider orbits about equilibrium points in the Earth-sun rotating frame, which are high above the ecliptic plane, in contrast to the classical "halo" orbits about the collinear equilibria. It is found that due to coupling in the equations of motion, 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. It is found that there is much freedom in specifying the position and period/amplitude of the orbit of the sail, high above the ecliptic and looking down on the Earth.Aparticular use of such solutions is presented, namely, the year-round constant imaging of, and communication with, the poles. We find that these orbits present a significant improvement on the position of the sail when viewed from the Earth, compared to a sail placed at equilibrium.

Item type: Article
ID code: 6509
Keywords: astrodynamics, solar sails, propulsion systems, eliptic plane, design engineering, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Applied Mathematics, Control and Systems Engineering, Electrical and Electronic Engineering, Space and Planetary Science, Aerospace Engineering
Subjects: Technology > Mechanical engineering and machinery
Technology > Motor vehicles. Aeronautics. Astronautics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Related URLs:
Depositing user: Strathprints Administrator
Date Deposited: 01 Aug 2008
Last modified: 04 Sep 2014 17:56
URI: http://strathprints.strath.ac.uk/id/eprint/6509

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