Biggs, J.D. and Waters, T. and McInnes, C.R. (2011) New periodic orbits in the solar sail threebody problem. In: Nonlinear Science and Complexity. Springer, pp. 131138. ISBN 9789048198832

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Abstract
We identify displaced periodic orbits in the circular restricted threebody problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earthsun system which are high above the exliptic plane. It is shown that periodic orbits about surfaces of artificial equilibria are naturally present at linear order. Using the method of LindstedtPoincare, 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 solar sail elliptical restricted threebody problem. 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 requied eccentricity of e=0.0167. The stability of these periodic orbits is investigated.
Item type:  Book Section 

ID code:  14502 
Notes:  Invited Book Contribution 
Keywords:  displaced periodic orbits, solar sail, restricted 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:  04 May 2011 10:54 
Last modified:  21 May 2015 19:02 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/14502 
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