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Mathematics 4362, week4 keplers equation

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True and Eccentric Anomaly (cont'd) True and Eccentric Anomaly (cont'd) ... Relationship of Eccentric. Anomaly to the Elliptic Area Integral (cont'd) ... – PowerPoint PPT presentation

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Title: Mathematics 4362, week4 keplers equation


1
Mathematics 4362, week4 keplers equation
2
Kepler's Second Law
3
Area Swept out by an Elliptical Arc
4
Area Swept out by an Elliptical Arc (cont'd)
5
Area Swept out by an Elliptical Arc (concluded)
6
Graphical Solution
7
Graphical Solution ofThe Area Integral
8
True and Eccentric Anomaly
9
True and Eccentric Anomaly (cont'd)
10
True and Eccentric Anomaly (cont'd)
11
True and Eccentric Anomaly (cont'd)
12
True and Eccentric Anomaly (cont'd)
13
True and Eccentric Anomaly (cont'd)
14
True and Eccentric Anomaly (cont'd)
15
True and Eccentric Anomaly (cont'd)
16
True and Eccentric Anomaly (cont'd)
17
True and Eccentric Anomaly (cont'd)
18
True and Eccentric Anomaly (cont'd)
19
True and Eccentric Anomaly (cont'd)
20
True and Eccentric Anomaly (cont'd)
21
True and Eccentric Anomaly (concluded))
22
Relationship of EccentricAnomaly to the Elliptic
Area Integral
23
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
24
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
25
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
26
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
27
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
28
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
29
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
30
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
31
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
32
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
33
Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
34
AND FINALLY ... (WHEW!) KEPLER'S EQUATION
35
Using Mean Anomaly toPropogate the Orbital
Position
36
Using Mean Anomaly toPropogate the Orbital
Position(cont'd)
37
Using Mean Anomaly toPropogate the Orbital
Position
38
Using Mean Anomaly toPropogate the Orbital
Position(concluded)
39
The Propogation Algorithm
40
The Propogation Algorithm(continued)
41
The Propogation Algorithm(continued)
42
The Propogation Algorithm(continued)
43
The Propogation Algorithm(concluded)
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