The objective function for this analysis is a function of the close approach miss distance, either maximizing that distance or targeting a certain distance to avoid a keyhole. Techniques and applications mischa kim abstract trajectory optimization is a powerful technique to analyze mission feasibility during mission design. Optimal maneuvering and control of cooperative vessels within. Optimization of low thrust trajectories that involve a larger number of orbit revolutions is considered as a challenging problem. This project took form in the lowthrust trajectory optimization research group with guidance. Numerical analysis of constrained, timeoptimal satellite. A matlab software for solving multiplephase optimal control. Emtg is validated against the highheritage deepspace navigation tool. Choose your favorate nlp solver for robustly solving ill conditioned problems and faster warm start. Geometric optimal control and applications to aerospace.
Low thrust trajectories for a few targets were then further refined using a low thrust trajectory local optimization tool with numerical integration. Low thrust trajectories are demanding because realistic forces due to oblateness, aerodynamic drag, and thirdbody perturbions often dominate the thrust. Low thrust, high accuracy trajectory optimization, i. Generally speaking, trajectory optimization is a technique for computing an openloop solution to an optimal control problem. A wide choice of numerical discretization methods for fast convergence and high accuracy. The second global trajectory optimization competition was organized by the outer planets mission analysis group of the jet propulsion laboratory and was announced in october 2006. Lowthrust orbit transfer trajectory optimization problem solved with high accuracy solver knitro chebyshev collocation points. The competition objective was to find the global optimal low thrust trajectory, maximizing a complex objective function over a huge search space. Low thrust, highaccuracy trajectory optimization i. Optimization of lowthrust trajectories that involve a larger number of orbit revolutions is. Low thrust trajectory optimization generally, low thrust optimizers minimize propellant mass or time of flight.
E results for a high thrust transfer from the paper low thust, high accuracy ratjectory optimization 72 f results for a medium thrust transfer from the paper low thust, high accuracy ratjectory optimization 73 g output of ipopt solver with a low thrust problem change of sma and single shooting method74 references 75 3. A sixmonth phase for science is assumed and, in order to minimize the science operations cost, the close proximity operations at the neo target have been designed to follow a twoweek repeat. Multirevolution lowthrust trajectory optimization using. The ispt program was asked by psd to invest in a common set of trajectory design tools that would be fully documented, more user friendly, robust for convergence, provide consistent results, and be available to the community. In section 6, we shortly give some applications of geometric optimal control and of continuation for space trajectory optimization problems. Low thrust transfer from parking orbit to halo orbit 1 1. High thrust trajectory optimization problems are typically formulated as discrete optimization problems and are numerically wellbehaved.
Optimization of lowthrust trajectories that involve a larger number of orbit. Optimal low thrust trajectories to the moon siam journal on. Lowthrust orbit transfer trajectory optimization problem solved with highaccuracy solver knitro chebyshev collocation points. Lowthrust, highaccuracy trajectory optimization matlab. Lowthrust, highaccuracy trajectory optimization matlab propt matlab optimal control software dae, ode.
Download citation low thrust, highaccuracy trajectory optimization multirevolution, very low thrust trajectory optimization problems have long been considered difficult problems due to their. Improving satellite surveillance through optimal assignment of assets claire rivett and carmine pontecorvo october 2003. Matlab lowthrust, highaccuracy trajectory optimization. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Multirevolution, very lowthrust trajectory optimization problems have long been considered difficult problems due to their large time scales and highfrequency. The orbit transfer problem is posed as a multiplephase optimal control problem where the spacecraft can thrust only during phases where it has line of sight to the sun. A robust homotopic approach for continuous variable low. Show more show less a continuous implementation of a secondvariation optimal control method for space trajectory problems. A generalpurpose matlab software program called gpops ii is described for solving multiplephase optimal control problems using variableorder gaussian quadrature collocation methods. This paper describes a high precision symplectic method and optimization techniques to solve the minimumenergy low thrust multirevolution orbit transfer problem. Mission design and trajectory optimization request pdf. Lowthrust trajectory optimization tool to assess options. In the doubleloop lowthrust lambert solver, the vector of the optimization parameters outer loop can be written as. Reentry vehicle constrained trajectory optimization.
Lowthrust, highaccuracy trajectory optimization journal. Reentry vehicle constrained trajectory optimization kenan zhang 1 and wanchun chen 2 beihang university, beijing, 100191, china generation of optimal trajectories for hypersonic reentry vehicles satisfying both boundary conditions and path constraints is a challenging job. A segmented attitude planning and controlling method for. Rao university of florida gainesville, fl 326116250 abstract the problem of determining highaccuracy minimumtime earthorbit transfers using lowthrust propulsion with eclipsing is considered. Note that low thrust trajectories are much harder to optimize, so you should expect to wait longer.
Low thrust optimization is then performed to turn biimpulse transfers into optimal low thrust spirals, and refine the selected scenarios. Maximum range trajectory optimization for a boostglide. Lowthrust, highaccuracy trajectory optimization citeseerx. Multirevolution, very low thrust trajectory optimization problems have long been considered difficult problems due to their large time scales and highfrequency responses. Low thrust, high accuracy trajectory optimization by i.
To improve consistency across the agency of low thrust trajectory optimization. The present research implements a simplified version of the sqp sequential quadratic program. Very low thrust trajectory optimization springerlink. The orbit transfer problem is posed as a multiplephase optimal. Nasa goddards gmat general mission analysis tool and its. By relating this difficulty to the wellknown problem of aliasing in information theory, an antialiasing trajectory optimization method is developed. Optimal low thrust trajectories to the moon siam journal. Optimization of lowthrust trajectories that involve a larger number. The software employs a legendregaussradau quadrature orthogonal collocation method where the continuoustime optimal control problem is transcribed to a large sparse nonlinear programming problem nlp. In section 7, we detail a full nonacademic example in aerospace an attitude trajectory problem, in order to illustrate how to solve optimal control problems with the help of geometric optimal control. Skipping stone an interplanetary space mission design tool. The problem of determining highaccuracy minimumtime earthorbit transfers using lowthrust propulsion with eclipsing is considered.
A33416 theproblemofdetermininghighaccuracyminimumtimeearthorbittransfersusinglowthrustpropulsionwith eclipsing is considered. Dido optimal control software published research results. This paper describes a highprecision symplectic method and optimization. Minimumtime trajectory optimization of lowthrust earthorbit transfers with eclipsing kathryn f. Flight parameters of actual flights including fuel consumption are estimated from position and time in the recorded adsb data with meteorological and aircraft performance model. There is an open access version for this licensed article that can be read free of charge and without license restrictions. The maximum down ranges computed by using the two maximum ld methods are 122. A segmented attitude planning and controlling method for agile satellite based on pseudospectral method.
Qi gong, and pooya sekhavat naval postgraduate school, monterey, california 93943 doi. Previous work on timeoptimal satellite slewing maneuvers, with one satellite axis sensor axis required to obey multiple path constraints exclusion from keepout cones centered on high intensity astronomical sources reveals complex motions with no part of the trajectory touching the constraint boundaries boundary points or lying along a finite arc of the constraint boundary boundary arcs. The content of the open access version may differ from that of the licensed version. Flexible way of suppling derivative information via analytical and numerical means. Jul, 2012 in the conclusion of this paper, the future research properties are presented regarding to numerical algorithms of trajectory optimization and control for flight vehicles as follows. Joris olympio toulouse area, france professional profile. A survey of numerical algorithms for trajectory optimization. A challenging class of optimization problems occurs when the spacecraft trajectories are characterized by thrust levels that are very low relative to the vehicle weight. Lowthrust, highaccuracy trajectory optimization journal of. The lowthrust lambert problem is a fundamental problem of the lowthrust trajectory optimization.
Braden 2309 a shapebased algorithm for the automated design of low thrust, gravityassist trajectories aas 01467, anastassios e. Direct trajectory optimization by a chebyshev pseudospectral method, journal of guidance, control, and dynamics, 25 1, pp. Lowthrust, highaccuracy trajectory optimization article in journal of guidance control and dynamics 304. This paper has employed several techniques to improve the efficiency and automation of a hybrid optimization method based on the homotopic method, in order to solve the continuous variable low thrust trajectory optimization. Michael ross, qi gong, pooya sekhavat multirevolution, very low thrust trajectory optimization problems have long been considered difficult problems due to their large time scales and high frequency responses. Mirage is a licensed version of the doubleprecision trajectory and orbit deter. Space trajectory optimization and l1optimal control problems, modern astrodynamics, pp. May 23, 2012 trajectory optimization of multiasteroids exploration with low thrust transactions of the japan society for aeronautical and space sciences, vol. Lowthrust manyrevolution trajectory optimization ccar. Minimum energy orbit transfer of a spacecraft with limited variable thrust. Following this multiple homotopy method, the low thrust trajectory optimization problem can be easily solved after several iterative calculations, which takes a much easier problem with continuous. The problem of lowthrust trajectory optimization in highly perturbed dynamics. Study and industrialization of optimization methods for low. Naturally, this also holds for increasingly complex problems.
Trajectory generation for autonomous unmanned aircraft. From the brachystochrone to the maximum principle, hector j. The remainder of this chapter introduces in detail of our high level system setup. Fuel optimal planar interplanetary trajectories using low. Indirect methods for space trajectory optimization lorenzo. Feb 22, 2016 the problem of determining high accuracy minimumtime earthorbit transfers using low thrust propulsion with eclipsing is considered. Rao university of florida, gainesville, florida 326116250 doi. A matlab software for solving multiplephase optimal control problems. A historical introduction to the covector mapping principle 0. The problem addressed in this research is the inflight generation of trajectories for autonomous unmanned aircraft, which requires a method of generating pseudooptimal trajectories in nearrealtime, onboard the aircraft, and without external intervention. A collection of low thrust trajectory optimization tools, including members of the low thrust trajectory tool lttt set, can be found here. Multirevolution lowthrust trajectory optimization using symplectic. Trajectory optimization is the process of designing a trajectory that minimizes or maximizes some measure of performance while satisfying a set of constraints.
Multifidelity multidisciplinary design optimization of. Astrodynamics and mission design tools enabling science. Pdf practical techniques for lowthrust trajectory optimization. Finally, taking the optimization problem with the minimum overall detection probability of flight trajectory as an example, the low lof framework first explores the entire design space to achieve the mission requirements, and then, the medium lof mdo framework accepts the low lof framework optimization parameters. Lowthrust trajectory design with constrained particle swarm. Each flight is optimized in terms of fuel and time so as to give the optimal arrival time and sequencing under. The evolutionary mission trajectory generator emtg is a global trajectory optimization tool. Trajectory optimization of multiasteroids exploration with low thrust transactions of the japan society for aeronautical and space sciences, vol.
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