Motion of A Rocket in Three-Dimension with Constant Thrust Over A Spherical Rotating Earth Holding Constant Heading and Constant Path Inclination
Abstract
In this paper we have determined the velocity and altitude of a spacecraft and then equation of its trajectory with constant thrust, constant heading and constant path-inclination by regulating the bank angle and angle of attack.
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Introduction
Angelo Miele1 derived differential equations of three- dimensional motion of a spacecraft relative to a spherical rotating Earth. In fact analytical solutions to these complicated equations are not possible.He1 made no attempt to solve them with some simplified assumptions or introducing some constraints. In this feature are first determined the velocity and altitude of the space vehicle and the equation of its trajectory with constant thrust, constant heading and constant path-inclination by manipulating the bank angle and the angle of attack.
Conclusion
Hence knowing the velocity- mass distribution(6),altitude-mass distribution (12), equation of the trajectory, ie, longitudinallatitudinal range distribution (16),altitude-latitudinal range distribution (18) and finally simple mass variation law (19) with respect to time t, the bank angle (10) and the lift coefficient (11) can be made time- varying control parameters so as to accomplish such type of rocket motion.