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- W2997014144 abstract "Abstract The minimum-time aerobraking maneuver at constant altitude is studied. The space vehicle has lift capability. Its initial position is specified on the longitude-latitude surface at a certain high altitude with initial velocity vector given. A very strong final condition with specified final position and final velocity vector is imposed. The vehicle then performs aerodynamic maneuver at constant altitude to reach the final condition within the shortest time of flight. In order to minimize the time of flight, the vehicle must try to approach the final position as soon as possible. And then at a certain distance from the final position, it performs chattering maneuver to decelerate as quickly as possible so that the final speed can be satisfied. This is a theoretical work to illustrate the existence of chattering arc in an optimal trajectory. The constant altitude restriction is necessary to obtain an exact solution for the control. Dimensionless equations of motion are derived. For one-dimensional flight, we have analytic solutions for both coasting arc and chattering arc. This means that we can obtain an analytic solution for the whole trajectory of one-dimensional flight. For two-dimensional flight, variational formulation is required. The coasting arc proceeds to the final point in some trajectories, or, in many other trajectories, switches to the chattering arc which then leads to the final point. The allowable regions for different cases are constructed." @default.
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- W2997014144 date "1990-10-01" @default.
- W2997014144 modified "2023-09-27" @default.
- W2997014144 title "Minimum-time aerobraking maneuver at constant altitude" @default.
- W2997014144 hasPublicationYear "1990" @default.
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