Derivation of Kepler’s Third Law
| Fgravity = (Gm1m2) / R2 | Definition of gravity force |
| Fc = m * ac | Force = mass * acceleration |
| Fc = (m14p 2R) / T2 = (Gm1m2) / R2 | orbit caused by Fcentripetal ;Fc = gravity;ac = 4p 2R / T2 |
| 1/(Gm2) * 4p 2R/T2 = Gm2/R2 * 1/(Gm2) | Multiply both sides by 1/(Gm2) |
| 4p 2R/(T2 * Gm2) * (T2/R) = 1/R2 * (T2/R) | Multiply both sides by (T2/R) |
4p 2/(Gm2) = K = T2/R3