1. Newton’s Law of Universal Gravitation
2. Dimensional formula of G
3. Gravitational Force
4. Gravitational Field
5. Gravitational Potential
6. Definition
7. Equipotential Surface
8. Relation between Gravitational Intensity and Potential
9. Gravitational Potential due to Spherical Shell of Matter
10. Gravitational Field due to Spherical Shell of Matter
Gravitational Field due to Spherical Shell of Matter
**A. Outside the shell:**
\(E = -\frac{dv}{da} = -\frac{d}{da}\left(-\frac{GM}{a}\right) = GM\frac{d}{da}\left(\frac{1}{a}\right)\)
\(E_{outside} = -G\frac{M}{a^2}\)
**B. on the surface:**
On the surface a = r.
So, \(E_{surface}=-G\frac{M}{r^2}\)
**C. Inside the shell:**
\(E = -\frac{dv}{da} = -\frac{d}{da}\left(-\frac{GM}{ar}\right) = 0\)
\(E_{inside} = 0\)
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