Artificial halo orbits for low-thrust propulsion spacecraft

Baig, S. and McInnes, C. R. (2009) Artificial halo orbits for low-thrust propulsion spacecraft. Celestial Mechanics and Dynamical Astronomy, 104(4), pp. 321-335. (doi:10.1007/s10569-009-9215-4)

Baig, S. and McInnes, C. R. (2009) Artificial halo orbits for low-thrust propulsion spacecraft. Celestial Mechanics and Dynamical Astronomy, 104(4), pp. 321-335. (doi:10.1007/s10569-009-9215-4)

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Publisher's URL: http://dx.doi.org/10.1007/s10569-009-9215-4

Abstract

We consider periodic halo orbits about artificial equilibrium points (AEP) near to the Lagrange points L 1 and L 2 in the circular restricted three body problem, where the third body is a low-thrust propulsion spacecraft in the Sun–Earth system. Although such halo orbits about artificial equilibrium points can be generated using a solar sail, there are points inside L 1 and beyond L 2 where a solar sail cannot be placed, so low-thrust, such as solar electric propulsion, is the only option to generate artificial halo orbits around points inaccessible to a solar sail. Analytical and numerical halo orbits for such low-thrust propulsion systems are obtained by using the Lindstedt Poincaré and differential corrector method respectively. Both the period and minimum amplitude of halo orbits about artificial equilibrium points inside L 1 decreases with an increase in low-thrust acceleration. The halo orbits about artificial equilibrium points beyond L 2 in contrast show an increase in period with an increase in low-thrust acceleration. However, the minimum amplitude first increases and then decreases after the thrust acceleration exceeds 0.415 mm/s2. Using a continuation method, we also find stable artificial halo orbits which can be sustained for long integration times and require a reasonably small low-thrust acceleration 0.0593 mm/s2.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:McInnes, Professor Colin
Authors: Baig, S., and McInnes, C. R.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Celestial Mechanics and Dynamical Astronomy
Publisher:Springer Verlag
ISSN:0923-2958
ISSN (Online):1572-9478

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