EFFICIENT PARALLELIZATION OF NONLINEAR PERTURBATION ALGORITHMS FOR ORBIT PREDICTION WITH APPLICATIONS TO ASTEROID DEFLECTION AND FRAGMENTATION

摘要

Orbit determination and control problems are sometimes solved using linearizedmethods, even though nonlinear effects can sometimes dominate the system. Thispaper addresses ways to parallelize computational algorithms for numerical integratorsand nonlinear relative motion equations. An application of the proposedmethods to mutual gravitation of a fragmented asteroid is presented, with analysisof the relative efficiency of parallel architechtures. Hydrodynamic simulationof a subsurface nuclear explosion is used to generate the initial conditions, afterwhich the fragmented system is propagated in parallel including mutual gravitationalterms. Efficient algorithms for this problem emphasize the achievement ofverifiable results for asteroid deflection/fragmentation research using limited orbudget-allocated computer resources.