The formula to calculate the Gravitational Potential (V) is:
\[ V = -\frac{[G.] \cdot m \cdot (3 \cdot rc^2 - a^2)}{2 \cdot R^3} \]
Gravitational Potential is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point without changing its kinetic energy. Mass is the quantity of matter in a body regardless of its volume or any forces acting on it. Distance between Centers is the distance between the centers of the attracting body and the body being drawn. Distance from Center to Point is the length of the line segment measured from the center of a body to a particular point. The Radius of the sphere defines a three-dimensional counterpart of a circle, with all its points lying in space at a constant distance from the fixed point.
Let's assume the following values:
Using the formula:
\[ V = -\frac{6.67408E-11 \cdot 33 \cdot (3 \cdot 384000^2 - 25^2)}{2 \cdot 250^3} \approx -3.11773378463575E-05 \]
The Gravitational Potential is approximately -3.11773378463575E-05 Joule per Kilogram.
| Mass (Kilogram) | Distance between Centers (Meter) | Distance from Center to Point (Meter) | Radius (Meter) | Gravitational Potential (Joule per Kilogram) |
|---|---|---|---|---|
| 30 | 384000 | 25 | 250 | -0.000028343034406 |
| 31 | 384000 | 25 | 250 | -0.000029287802219 |
| 32 | 384000 | 25 | 250 | -0.000030232570033 |
| 33 | 384000 | 25 | 250 | -0.000031177337846 |
| 34 | 384000 | 25 | 250 | -0.000032122105660 |
| 35 | 384000 | 25 | 250 | -0.000033066873473 |