Trajectory optimization for the Hevelius-lunar microsatellite mission

In this paper trajectory optimisation for the Hevelius mission is presented. The Hevelius-Lunar Microsatellite Mission - is a multilander mission to the dark side of the Moon, supported by a relay microsatellite, orbiting on a Halo orbit around L2. Three landers, with miniaturized payloads, are transported by a carrier from a LEO to the surface of the Moon, where they perform a semi-hard landing with an airbag system. This paper will present the trajectory optimisation process, focusing, in particular, on the approach employed for Δv manoeuvre optimization. An introduction to the existing methods for trajectory optimization will be presented, subsequently it will be described how these methods have been exploited and originally combined in the Hevelius mission analysis and design.

[1]  David L. Richardson,et al.  Halo Orbit Formulation for the ISEE-3 Mission , 1979 .

[2]  Massimiliano Vasile,et al.  An Approach to the Design of Low Energy Interplanetary Transfers Exploiting Invariant Manifolds of the Restricted Three-Body Problem , 2004 .

[3]  J. Betts Survey of Numerical Methods for Trajectory Optimization , 1998 .

[4]  D. Richardson,et al.  Analytic construction of periodic orbits about the collinear points , 1980 .

[5]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[6]  Gerard Gómez,et al.  Trajectory correction manoeuvres in the transfer to libration point orbits , 2003 .

[7]  Michael A. Saunders,et al.  Procedures for optimization problems with a mixture of bounds and general linear constraints , 1984, ACM Trans. Math. Softw..

[8]  Shane D. Ross,et al.  Shoot the Moon , 2000 .

[9]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[10]  R. W. Farquhar,et al.  A halo-orbit lunar station. , 1972 .

[11]  Craig Allan Kluever,et al.  Optimal low-thrust, Earth-Moon trajectories , 1993 .

[12]  Philip E. Gill,et al.  Numerical Linear Algebra and Optimization , 1991 .

[13]  E. Belbruno,et al.  A method for the construction of a lunar transfer trajectory using ballistic capture , 1991 .

[14]  J. K. Miller,et al.  Sun-Perturbed Earth-to-Moon Transfers with Ballistic Capture , 1993 .

[15]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[16]  E. Belbruno,et al.  Lunar capture orbits, a method of constructing earth moon trajectories and the lunar GAS mission. [Get Away Specials] , 1987 .

[17]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[18]  M. Vasile,et al.  Design of Interplanetary and Lunar Missions Combining Low Thrust and Gravity Assists , 2002 .

[19]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1992, Artificial Intelligence.

[20]  Nostrand Reinhold,et al.  the utility of using the genetic algorithm approach on the problem of Davis, L. (1991), Handbook of Genetic Algorithms. Van Nostrand Reinhold, New York. , 1991 .

[21]  Shane D. Ross,et al.  Constructing a Low Energy TransferBetween Jovian Moons , 2001 .

[22]  John W. Hartmann,et al.  OPTIMAL INTERPLANETARY SPACECRAFT TRAJECTORIES VIA A PARETO GENETIC ALGORITHM , 1998 .