Research On The Design And Control Of Resonant Orbit In Binary Asteroid System

Binary asteroids,as a special category of asteroids,have loads of important scientific and engineering significances.They are one of the most interesting targets for deep space exploration in the near future.This dissertation studies and analyzes the design and control methods and orbital maneuver planning for resonance orbits in the binary asteroid system.First,the planar and three-dimensional resonance orbits based on different models are studied.The analytical solutions of resonance orbits based on the two-body model in different coordinate systems are given.Based on this,the planar resonant orbits with different resonance ratio are designed by using the improved multiple shooting method,the single-parameter continuum method and the pseudo-arc length continuation method.Then,based on the planar resonance orbits,according to the stability theory and the bifurcation theory,three-dimensional resonance orbital families with different resonance ratios are designed.Lastly,the characteristics of planar and three-dimensional resonant orbits of binary asteroid are summarized and analyzed.Then,considering the perturbations of solar pressure,solar gravitation and third-body gravities,etc.,the magnitudes of the perturbation on the spacecraft at three different gravitational radii in binary asteroid system are calculated and compared.Taking the effects of various types of perturbations into account,the evolution of different resonance orbits are simulated.A multi-sliding surface guidance law is proposed and used to maintain and control the resonant orbits in binary asteroid systems.Control results are compared and analyzed for different resonance orbits.Finally,the reachability sets of resonant orbits are studied and analyzed.An adaptive mesh refinement method based on heuristic search is proposed.The reachable sets of two-dimensional planar orbital manoeuvres that may cause escape and impact scenarios are calculated by adaptive mesh refinement.Then,for different resonant orbits,the reachable sets of three-dimensional spatial orbit maneuvers are calculated.Based on reachability sets,target orbits are designed.Lastly,the reachable sets that change with time are studied.The accuracy of reachable set in task planning is verified by numerical examples.