## The Large Attitude Motions and Stability, Due to Gravity, of a Satellite with Passive Damping in an Orbit of Arbitrary Eccentricity about an Oblate Body |

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accuracy additional angular velocity anomaly Appendix approximate Attitude Motions average behavior body calculated caused Chapter characteristic chosen coefficients compared components computation considered constant coordinates cosines coupling damping defined derivatives describe determine developed direction discussed dyadic eccentricity effect energy equation equations of motion error Euler angles Euler parameters evaluating example excitation expressed Figure follows force frame frequencies function give given gravity torque important included independent inertia initial conditions integration linear equations magnitude mass mean measure method natural necessary needed nonlinear numerical oblate spheroid obtained orbit pitch axis plane plotted position present problem quadrature ratio reference region relative respect rotation runs satellite scalar seen shape shown solution space sphere stability Table tion transformation unstable variable variation varying vector vehicle write written yaw-roll zero