Shape Approximation for Low-Thrust Constrained Space Trajectories Using Fourier Series with a Penalty on Transfer Cost

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2020-01-01
Authors
Prakash, Ved
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Ossama Abdelkhalik
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Aerospace Engineering

The Department of Aerospace Engineering seeks to instruct the design, analysis, testing, and operation of vehicles which operate in air, water, or space, including studies of aerodynamics, structure mechanics, propulsion, and the like.

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The Department of Aerospace Engineering was organized as the Department of Aeronautical Engineering in 1942. Its name was changed to the Department of Aerospace Engineering in 1961. In 1990, the department absorbed the Department of Engineering Science and Mechanics and became the Department of Aerospace Engineering and Engineering Mechanics. In 2003 the name was changed back to the Department of Aerospace Engineering.

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1942-present

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  • Department of Aerospace Engineering and Engineering Mechanics (1990-2003)

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Abstract

This report explores the concept of Shape- based approximation of Low-thrust Constrained Space Trajectories Using Fourier Series. In addition to the results obtained by the method developers Ehsan Taheri and Ossama Abdelkhalik on the aforementioned subject, a penalty was added to the transfer cost of the optimised trajectory. Its effects on the least squared error on the equations of motion were analysed. The two cases of orbit raising (moving from a Low-Earth Orbit to a Geo-Synchronous Orbit) and an orbit changing (from Earth to Mars) were analysed. The plots and tabulation compares the results of these two cases and its effects and future scope on space trajectory design and analysis.

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Wed Jan 01 00:00:00 UTC 2020