Orbital Period formulas
v = 2 π r T , T = 2 π r v , T = 2 π r G M r , T = 2 π r r G M , T = 2 π r 3 / 2 G M . We can rearrange the expression above to derive Kepler's Third Law, which states the square of the orbital period is proportional to the cube of the semi-major axis (or radius for a circular orbit).
The orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. Small body orbiting a central... · Related periods |
Recall that orbital period, T , is related to orbital speed, s , and orbital radius, r , by the equation s = 2 𝜋 r T , so these are the only quantities we need ... |
T = 2 π a 3 G ( M 1 + M 2 ) {\displaystyle T= 2\pi\sqrt{\frac{a^3}{G \left(M_1 + M_2\right)}}} where: |
P2=ka · P = period of the orbit, measured in units of time · a = average distance of the object, measured in units of distance · k = constant, which has various ... |
... orbit. The formula to calculate the orbital period of a planet is: T2 = a3 If the semi-major axis (a) is given in astronomical units (AU) and you want the ... |
Orbital period is often calculated using Kepler's 3rd Law of Planetary Motion, p 2 = a 3 , where p is the orbital period expressed in years. |
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