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Applications of the VisViva equation

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Total Mechanical Energy of the Satellite. Specific Energy ... A=0.02 Au (*astronomical units) And semi-minor axis, b = 0. 01 Au. Homework. elliptical orbits: 2 ... – PowerPoint PPT presentation

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Title: Applications of the VisViva equation


1
Applications of the Vis-Viva equation

2
Orbital Velocity
3
Gravitational Potential Energy

4
Kinetic Energy

5
Total Mechanical Energy of the Satellite

6
Specific Energy and Keplers Third law

7
Total Specific Energy

Evaluate Sum of Potential and Kinetic Energy
at Apogee and Perigee
8
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9
Specific energy contd
10
Total

11
Total

12
Keplers First Law
13
Keplers Second Law
14
Keplers Third Law
15
The Velocity Vector
16
And Finally the energy equation
17
Vis-Viva equation for the Conic sections

18
Spacecraft Angular Momentum Related to Planetary
Mass and Shape of the Orbit
19
Relationship For Angular Velocity Of Orbit
20
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21
Applications of the Vis-VivaEquation . Escape
Velocity
DV
22
Minimum Escape Velocity
23
Applications of the Vis Viva Equation

24
Applications

25
Applications

26
Parabolic Escape trajectory

27
Parabolic

Look at DV ratio for Escape _at_ Apogee/Perigee
28
Parabolic
29
Homework
Starship Enterprise orbits Planet Tralfamador
in an elliptical Orbit with semi-major
axis A0.02 Au (astronomical units) And
semi-minor axis, b 0. 01 Au
30
Homeworkelliptical orbits 2
31
Homeworkelliptical orbits 2
32
(No Transcript)
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