Kepler's Third Law

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Kepler's third law states that the square of the period of revolution of a planet is proportional to the cube of the semimajor axis
of the planet's elliptical orbit around the Sun. In symbols,
or
. The constant
can be taken as 1 for simplicity, equivalent to measuring
in years and
in astronomical units. In this Demonstration the ellipses have different eccentricities; the value of
is chosen to equal 5, so that the period is equal to
.
Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA
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Details
The actual value of is
, where
is the gravitational constant and
is the mass of the Sun.
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