A Closed-loop Guidance Method for Off-orbit Braking Satisfied with Re-entry Angle and Range Constraints
A technology of off-orbit braking and re-entry angle, which is applied in three-dimensional position/course control and other directions, can solve the problems of unguaranteed voyage accuracy, initial position error, initial speed error, low voyage control accuracy, and limitations in improving accuracy
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[0043]Assume that a spacecraft uses a constant thrust rocket engine to de-orbit from the initial circular orbit at an altitude of 300km by braking once, and meet the re-entry angle and range requirements at the boundary of the atmosphere at an altitude of 120km. Because it is flying outside the atmosphere, the main forces on the spacecraft are the thrust of the rocket engine and the gravity of the earth.
[0044] The motion equation of the aircraft is established in the return inertial coordinate system. When the earth is considered as a homogeneous sphere, that is, when the two-body dynamic model is used, the motion equation is
[0045]
[0046] Among them: (x, y, z) is the position of the spacecraft, (v x ,v y ,v z ) is the speed of the spacecraft, m is the mass of the spacecraft, P is the thrust of the rocket engine, ψ z is the attitude angle representing the thrust direction of the engine, μ e is the gravitational constant of the earth, r is the center distance of...
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