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• W2011190015 abstract "This paper presents a set of analytical formulae for the perturbed Keplerian motion of a spacecraft under the effect of a constant control acceleration. The proposed set of formulae can treat control accelerations that are fixed in either a rotating or inertial reference frame. Moreover, the contribution of the $$J_{2}$$ zonal harmonic is included in the analytical formulae. It will be shown that the proposed analytical theory allows for the fast computation of long, multi-revolution spirals while maintaining good accuracy. The combined effect of different perturbations and of the shadow regions due to solar eclipse is also included. Furthermore, a simplified control parameterisation is introduced to optimise thrusting patterns with two thrust arcs and two cost arcs per revolution. This simple parameterisation is shown to ensure enough flexibility to describe complex low thrust spirals. The accuracy and speed of the proposed analytical formulae are compared against a full numerical integration with different integration schemes. An averaging technique is then proposed as an application of the analytical formulae. Finally, the paper presents an example of design of an optimal low-thrust spiral to transfer a spacecraft from an elliptical to a circular orbit around the Earth." @default.
• W2011190015 created "2016-06-24" @default.
• W2011190015 creator A5005673111 @default.
• W2011190015 creator A5036136239 @default.
• W2011190015 date "2014-12-27" @default.
• W2011190015 modified "2023-10-18" @default.
• W2011190015 title "Extended analytical formulas for the perturbed Keplerian motion under a constant control acceleration" @default.
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• W2011190015 doi "https://doi.org/10.1007/s10569-014-9600-5" @default.
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