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meetings - Space Flight Mechanics Committee

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14:30 AAS Approximation of Constraint Low-Thrust <strong>Space</strong> Trajectories in Three Body<br />

13-251 Dynamic Models using Fourier Series<br />

Ossama Abdelkhalik, Michigan Tech University<br />

Finite Fourier series has been implemented successfully in approximating two-dimensional<br />

continuous-thrust trajectories in two-body dynamic models. In this paper, the Finite Fourier<br />

series is implemented for rapid low-thrust trajectory approximation, in the presence of<br />

thrust acceleration constraints, in the three body dynamic model. This approximation<br />

enables the rapid feasibility assessment of low-thrust trajectories, especially in the presence<br />

of thrust level constraint. The resulting approximated trajectory can be used as initial guess<br />

in optimization techniques.<br />

14:50 AAS A Quaternion-Based Formulation for Electric Orbit-Raising from SSPO to<br />

13-253 GEO<br />

Paola Libraro, Princeton University; Atri Dutta, Princeton University; Jeremy<br />

Kasdin, Princeton University; Edgar Choueiri, Princeton University<br />

15:10 Break<br />

The main focus of this paper is the low-thrust orbit-raising optimization problem for a<br />

geostationary satellite. We investigate the feasibility of injecting the satellite into a Sun-<br />

Synchronous Polar Orbit (SSPO). Two reasons motivate this choice: SSPO high inclination<br />

reduces the incidence of radiation and having constant solar exposure during part of the<br />

orbit-raising reduces the time the satellite spends in eclipse. We use a quaternion-based<br />

formulation to investigate the problem. We will provide a comparison of our proposed<br />

methodology with previous approaches in order to determine its applicability to any lowthrust<br />

orbit-raising problem.<br />

15:35 AAS Multi-objective Optimisation of Many-revolution, Low-thrust Orbit Raising<br />

13-257 for Destiny Mission<br />

Federico Zuiani, University of Glasgow / ISAS<br />

This work will present a Multi-Objective approach to the design of the initial, Low-Thrust<br />

orbit raising phase for JAXA’s proposed technology demonstrator mission DESTINY. The<br />

proposed approach includes a simplified model for Low Thrust, many-revolution transfers,<br />

based on an analytical orbital averaging technique and a simplified control<br />

parameterisation. This is combined with a stochastic optimisation algorithm which will<br />

solve optimisation problems in which conflicting performance figures of DESTINY’s<br />

trajectory design are concurrently optimised.<br />

15:55 AAS A Low Energy, Low Thrust Unified Solver for Rapid Mission Design<br />

13-255 Nitin Arora, Georgia Institute of Technology / NASA / Caltech JPL; Nathan<br />

Strange, NASA / Caltech JPL<br />

Recent studies of a manned cislunar way point base at the moon are driving the need to<br />

rapidly compute low-Energy, low thurst (le-lt) trajectories to Earth-Moon L1/L2 Lagrange<br />

23 rd AAS / AIAA <strong>Space</strong> <strong>Flight</strong> <strong>Mechanics</strong> Meeting Page 33

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