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Kepler's Third Law Orbital Period Calculator

Calculate the orbital period from the orbital radius and central mass.

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AU
M☉

Result

0,999893 yıl

Orbital period: 0,999893 years

T = 2π·√(a³/GM)

What Is Kepler's Third Law?

Kepler's third law gives the relationship between the square of a planet's orbital period and the cube of its average distance from the Sun.

How is it calculated?

How Is It Calculated?

T² = (4π² ÷ (G × M)) × a³

T: period, a: semi-major axis of the orbit.

  1. Enter the central mass and the orbital radius.

Frequently Asked Questions

Why do distant planets move so slowly?
As distance increases, the orbital period grows, which is why outer planets have a much longer year.

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