Interception and deviation of near Earth objects via solar collector strategy

A solution to the asteroid deviation problem via a low-thrust strategy is proposed. This formulation makes use of the proximal motion equations and a semi-analytical solution of the Gauss planetary equations. The average of the variation of the orbital elements is computed, together with an approximate expression of their periodic evolution. The interception and the deflection phase are optimised together through a global search. The low-thrust transfer is preliminary designed with a shape based method; subsequently the solutions are locally refined through the Differential Dynamic Programming approach. A set of optimal solutions are presented for a deflection mission to Apophis, together with a representative trajectory to Apophis including the Earth escape.

[1]  Massimiliano Vasile,et al.  On the optimality of a shape-based approach based on pseudo-equinoctial elements , 2006 .

[2]  Massimiliano Vasile A behavioral-based meta-heuristic for robust global trajectory optimization , 2007, 2007 IEEE Congress on Evolutionary Computation.

[3]  Ekkehard Kührt,et al.  Optimal deflection of NEOs en route of collision with the Earth , 2006 .

[4]  H. S. TSIENI Take-Off from Satellite Orbit , .

[5]  R. Battin An introduction to the mathematics and methods of astrodynamics , 1987 .

[6]  C. A. Kluever,et al.  Analytic Orbital Averaging Technique for Computing Tangential-Thrust Trajectories , 2005 .

[7]  Frederick W. Boltz Orbital motion under continuous radial thrust , 1991 .

[8]  Dario Izzo,et al.  Optimization of Interplanetary Trajectories for Impulsive and Continuous Asteroid Deflection , 2007 .

[9]  D. Jacobson,et al.  A discrete-time differential dynamic programming algorithm with application to optimal orbit transfer , 1970 .

[10]  Gianmarco Radice,et al.  Multicriteria Comparison Among Several Mitigation Strategies for Dangerous Near-Earth Objects , 2009 .

[11]  Andrea Boattini,et al.  Deflecting NEOs in Route of Collision with the Earth , 2002 .

[12]  Hsue-shen Tsien,et al.  Take-Off from Satellite Orbit , 1953 .

[13]  J. Junkins,et al.  Analytical Mechanics of Space Systems , 2003 .

[14]  Bruce A. Conway,et al.  Near-Optimal Deflection of Earth-Approaching Asteroids , 2001 .

[15]  I. Michael Ross,et al.  Two-Body Optimization for Deflecting Earth-Crossing Asteroids , 1999 .

[16]  Derek F. Lawden Rocket trajectory optimization - 1950-1963 , 1991 .

[17]  D. J. Benney Escape From a Circular Orbit Using Tangential Thrust , 1958 .

[18]  Daniel J. Scheeres,et al.  The Mechanics of Moving Asteroids , 2004 .

[19]  David Q. Mayne,et al.  Differential dynamic programming , 1972, The Mathematical Gazette.

[20]  G. Hahn,et al.  Physical limits of solar collectors in deflecting Earth-threatening asteroids , 2006 .

[21]  S. Yakowitz,et al.  Computational aspects of discrete-time optimal control , 1984 .

[22]  Massimiliano Vasile,et al.  Preliminary Design of Low-Thrust Multiple Gravity-Assist Trajectories , 2006 .

[23]  Massimiliano Vasile Robust Mission Design Through Evidence Theory and Multiagent Collaborative Search , 2005, Annals of the New York Academy of Sciences.

[24]  B. C. Carlson Computing elliptic integrals by duplication , 1979 .

[25]  A. Petropoulos,et al.  Some Analytic Integrals of the Averaged Variational Equations for a Thrusting Spacecraft , 2002 .

[26]  Jean Albert Kechichian Orbit Raising with Low-Thrust Tangential Acceleration in Presence of Earth Shadow , 1991 .

[27]  Frederick W. Boltz,et al.  ORBITAL MOTION UNDER CONTINUOUS TANGENTIAL THRUST , 1992 .