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- W2010117963 abstract "The nonlinear dynamics of the pitch equation of motion for a gravity-gradient satellite in an elliptical orbit about a central body are investigated. This planar motion is shown to be either periodic, quasiperiodic, or chaotic, depending upon the values of eccentricity, satellite inertia ratio, and the initial conditions for pitch angle and its derivative with respect to the true anomaly. Bifurcation plots, PoincarC maps, and Lyapunov exponents are numerically calculated and presented. Chaos diagrams, which are computed from Lyapunov exponents and are dependent upon the satellite's initial conditions, are also presented and may serve as a valuable satellite or orbit design tool. The sea of chaotic motion observed in the chaos diagrams has an interesting and complex structure. I t is found that the instability of the pitch angle for a gravity-gradient satellite generally increases for increasing values of orbit eccentricity." @default.
- W2010117963 created "2016-06-24" @default.
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- W2010117963 date "1992-08-10" @default.
- W2010117963 modified "2023-09-27" @default.
- W2010117963 title "Chaos in the pitch equation of motion for the gravity-gradient satellite" @default.
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- W2010117963 doi "https://doi.org/10.2514/6.1992-4369" @default.
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