Generating Solar Sail Trajectories in the Earth-Moon System Using Augmented Finite-Difference Methods
Using a solar sail, a spacecraft orbit can be offset from a central body such that the orbital plane is displaced from the gravitational center. Such a trajectory might be desirable for a single-spacecraft relay to support communications with an outpost at the lunar south pole. Although trajectory d...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2011-01-01
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Series: | International Journal of Aerospace Engineering |
Online Access: | http://dx.doi.org/10.1155/2011/476197 |
Summary: | Using a solar sail, a spacecraft orbit can be offset from a central body such that the orbital plane
is displaced from the gravitational center. Such a trajectory might be desirable for a single-spacecraft
relay to support communications with an outpost at the lunar south pole. Although trajectory design
within the context of the Earth-Moon restricted problem is advantageous for this problem, it is difficult
to envision the design space for offset orbits. Numerical techniques to solve boundary value problems can
be employed to understand this challenging dynamical regime. Numerical finite-difference schemes are
simple to understand and implement. Two augmented finite-difference methods (FDMs) are developed
and compared to a Hermite-Simpson collocation scheme. With 101 evenly spaced nodes, solutions from
the FDM are locally accurate to within 1740 km. Other methods, such as collocation, offer more accurate
solutions, but these gains are mitigated when solutions resulting from simple models are migrated to
higher-fidelity models. The primary purpose of using a simple, lower-fidelity, augmented finite-difference
method is to quickly and easily generate accurate trajectories. |
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ISSN: | 1687-5966 1687-5974 |