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The TwoBody Problem
Earth Satellite Operations
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activity sphere air drag altitude angular momentum angular rate angular velocity angular-momentum vector angular-velocity vector assume astronaut atmosphere axes becomes body frame booster burnout calculate center of mass circular orbit components constant coordinate cross product derivative dot product dynamics earth ellipse ellipsoid engines equations of motion equilibrium point Euler Euler's equations expression flyby force fuel function gimbal given gravity gyroscope Hohmann transfer hyperbola inertia matrix inertial acceleration inertial frame integral Kepler's launch magnetic field maneuver moon multistage rocket Newton's obtain particle payload ratio perigee planet platform polhode position vector possible precession quantity radiation radius rate gyroscope reentry reference frame respect restricted problem rigid body rocket rotation matrix rotor satellite semimajor axis shown in Figure shows solar system solution solved spacecraft speed spin stable stage surface thrusters torque trajectory two-body problem unit vectors vehicle velocity vector zero