TY - JOUR

T1 - Periodic orbits above the ecliptic plane in the solar sail restricted 3-body problem

AU - Waters, T.

AU - McInnes, C.R.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - astrodynamics

KW - solar sails

KW - propulsion systems

KW - eliptic plane

KW - design engineering

UR - http://ave.dee.isep.ipp.pt/~lino/Active%20Papers/Paper%2041%20-%20newperiodicorbits.pdf

UR - http://dx.doi.org/10.2514/1.26232

U2 - 10.2514/1.26232

DO - 10.2514/1.26232

M3 - Article

VL - 30

SP - 687

EP - 693

JO - Journal of Guidance, Control and Dynamics

JF - Journal of Guidance, Control and Dynamics

SN - 0731-5090

IS - 3

ER -