AA 4362 Astrodynamics

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AA 4362Astrodynamics
Week7
Vallado Section 2.4 Chapter 3, Sections 3.1-3.4
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Orbital Elements

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Perifocal Coordinate System
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Perifocal Coordinate System(contd)
Position vector
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Perifocal Coordinate System(contd)
Velocity vector
Extension to allow for third dimension
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Orbital Elements (contd)
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Orbital Elements (contd)
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Orbital Elements (contd)
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Orbital Elements (contd)
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Orbital Elements collected
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View From Orbital Plane
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Inertial Reference Axis
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Line of Equinoxes
during orbital perturbations section)
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Line of Equinoxes (contd)

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OK how do we get from the local coordinates to
the Orbital Plane
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Rotation 1
3-Rotation

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Rotation 2
1-Rotation

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Rotation 3
3-Rotation
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Generalized Orbit in Space
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Why no 2 (y-axis)-Rotation?
Believe it or not Newton Didnt know how to do
This transformation
Axis you rotate From goes first .

2-rotation looks backward
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Why no 2 (y-axis)-Rotation?
Believe it or not Newton Didnt know how to do
This transformation
So He carefully devised His orbital Coordinate
System To avoid this problem .
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Generalized Transformation
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Inertial Velocity Vector
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Inertial Velocity Vector (contd)
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Inertial Velocity Vector (contd)
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Inertial Velocity Vector (contd)
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Inertial Velocity Vector (contd)
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Inertial Velocity Vector (contd)
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Is there an easier Way?
Orbital plane, Polar velocity components
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Easier way?
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Easier way?
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Inertial Velocity Vector (concluded)
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Homework 12
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Homework 12
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Homework 12
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Homework 12
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Homework 12
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Homework 12
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Homework 12
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Homework 12