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Dynamics - MAE 146 Astronautics Dynamics MAE146...

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MAE 146: Astronautics Dynamics
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Newton's laws of motion We have seen that the motion of a given particle appears differently for 2 different observers (reference frames) There is a priori no prefered reference frame from a kinematic viewpoint. However, our daily experience indicates that there is more structure to motion than this! To model these additional “constraints”, Newton's formulated his first 2 “laws of motion”: Remarks Newton's Laws There is a special class of reference frames, called inertial , for which the motion of a particle is completely determined (for all times), once: The position and velocity if the particle is known at a given time. The interaction between the particle and the universe are known; these interactions being the same in all the inertial frame of reference. MAE 146:  Astronautics Dynamics BFV, 01/13/2010 1
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Initial Value Problem This is summarized in the “well-known formula”: Newton's laws result in a system of 2 nd order ordinary
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