Gravitational Potential (as opposed to Potential Energy)

1
Gravitational Potential (as opposed to Potential
Energy)
Gravitational Field
Gravitational Potential
2
Potential from a Disk
z0
R
Check
3
Off-axis Potential
Outside Disk
Laplaces Equation
4
Separation of Variables Solution
5
Legendre Polynomials
Legendres Equation
Solution Associated Legendre Polynomials
6
Associated Legendre Polynomials
 
Normalization
7
R Solution
Total Solution
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Disk Again
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Gravitational Field (again)
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Disk Again (small r)
z0
R
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Continuous for all q at R?
Inner and Outer at R1 Red Inner Blue Outer
Gravitational Potential
Difference