Colombo, C. and Vasile, Massimiliano and Radice, Gianmarco (2009) Semianalytical solution for the optimal lowthrust deflection of nearEarth objects. Journal of Guidance, Control and Dynamics, 32 (3). pp. 796809. ISSN 07315090

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Abstract
This paper presents a semianalytical solution of the asteroid deviation problem when a lowthrust action, inversely proportional to the square of the distance from the sun, is applied to the asteroid. The displacement of the asteroid at the minimum orbit interception distance from the Earth's orbit is computed through proximal motion equations as a function of the variation of the orbital elements. A set of semianalytical formulas is then derived to compute the variation of the elements: Gauss planetary equations are averaged over one orbital revolution to give the secular variation of the elements, and their periodic components are approximated through a trigonometric expansion. Two formulations of the semianalytical formulas, latitude and time formulation, are presented along with their accuracy against a full numerical integration of Gauss equations. It is shown that the semianalytical approach provides a significant savings in computational time while maintaining a good accuracy. Finally, some examples of deviation missions are presented as an application of the proposed semianalytical theory. In particular, the semianalytical formulas are used in conjunction with a multiobjective optimization algorithm to find the set of Paretooptimal mission options that minimizes the asteroid warning time and the spacecraft mass while maximizing the orbital deviation.
Item type:  Article 

ID code:  14571 
Notes:  COPYRIGHT OWNED BY ALL AUTHORS 
Keywords:  pareto optimum, optimization, multiobjective programming, numerical integration, gaussian process, orbital element, equation of motion, proximal, minimal distance, spacecraft, solid dynamic, satellite, interception, orbit, asteroid, thrust, minimum time, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Aerospace Engineering, Computational Mechanics, Control and Systems Engineering 
Subjects:  Technology > Mechanical engineering and machinery Technology > Motor vehicles. Aeronautics. Astronautics 
Department:  Faculty of Engineering > Mechanical and Aerospace Engineering Technology and Innovation Centre > Advanced Engineering and Manufacturing 
Depositing user:  Strathprints Administrator 
Date Deposited:  17 Feb 2010 12:15 
Last modified:  24 Jul 2015 13:15 
URI:  http://strathprints.strath.ac.uk/id/eprint/14571 
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