The formula to calculate Gravitational Potential Energy (U) is:
\[ U = -\left(\frac{G \cdot m1 \cdot m2}{r}\right) \]
Where:
Gravitational Potential Energy of a two-mass system is equal to the work done by an external agent in assembling them, while their initial separation was infinity.
Mass 1 is the quantity of matter in body 1 regardless of its volume or of any forces acting on it.
Mass 2 is the quantity of matter in body 2 regardless of its volume or of any forces acting on it.
Distance between Centers is defined as the distance between the centers of the attracting body and the body being drawn.
Let's assume the following values:
Using the formula:
\[ U = -\left(\frac{G \cdot m1 \cdot m2}{r}\right) \]
Evaluating:
\[ U = -\left(\frac{6.67408E-11 \cdot 7.34E+22 \cdot 5.97E+24}{384000}\right) \]
The Gravitational Potential Energy is -7.6160638225E+31.
| Mass 1 (m1) | Mass 2 (m2) | Distance between Centers (r) | Gravitational Potential Energy (U) |
|---|---|---|---|
| 7.34E+22 | 5.97E+24 | 384000 | -76,160,638,225,000,005,846,395,774,828,544.000000000000000 |
| 7.34E+22 | 5.97E+24 | 385000 | -75,962,818,385,454,549,226,967,384,719,360.000000000000000 |
| 7.34E+22 | 5.98E+24 | 384000 | -76,288,210,483,333,334,527,504,361,193,472.000000000000000 |
| 7.34E+22 | 5.98E+24 | 385000 | -76,090,059,287,272,736,090,671,770,763,264.000000000000000 |
| 7.35E+22 | 5.97E+24 | 384000 | -76,264,399,312,500,009,879,376,362,471,424.000000000000000 |
| 7.35E+22 | 5.97E+24 | 385000 | -76,066,309,963,636,368,272,922,310,082,560.000000000000000 |
| 7.35E+22 | 5.98E+24 | 384000 | -76,392,145,375,000,015,025,652,950,368,256.000000000000000 |
| 7.35E+22 | 5.98E+24 | 385000 | -76,193,724,218,181,828,091,658,427,695,104.000000000000000 |