AA 4362 Astrodynamics

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AA 4362Astrodynamics
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Kepler's Second Law
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Area Swept out by an Elliptical Arc
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Area Swept out by an Elliptical Arc (cont'd)
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Area Swept out by an Elliptical Arc (concluded)
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Swept-Area Graphs
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Graphical Solution ofThe Area Integral
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True and Eccentric Anomaly
Take and ellipse with semi-major axis, a, and
inscribe a circle of radius, a around it
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (cont'd)
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True and Eccentric Anomaly (concluded)
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Relationship of EccentricAnomaly to the Elliptic
Area Integral
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Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to Elliptic
Area Integral(cont'd)
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Relationship of EccentricAnomaly to Elliptic
Area Integral(concluded)
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FINALLY ... (WHEW!) KEPLER'S EQUATION
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Using Mean Anomaly toPropagate the Orbital
Position
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Using Mean Anomaly toPropagate the Orbital
Position(cont'd)
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Using Mean Anomaly toPropagate the Orbital
Position(cont'd)
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Using Mean Anomaly toPropagate the Orbital
Position(concluded)
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The Propagation Algorithm
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Propagation Algorithm(continued)
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Propagation Algorithm(continued)
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Propagation Algorithm(continued)
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Propagation Algorithm(concluded)