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4 results for “kepler”

Formulae (4)

r = \frac{a(1-e^2)}{1 + e\cos\theta}

Planets orbit the Sun in ellipses with the Sun at one focus.

\frac{dA}{dt} = \text{const}

A line from a planet to the Sun sweeps equal areas in equal times.

T^2 \propto a^3

The square of the orbital period is proportional to the cube of the semi-major axis.

T^2 = \frac{4\pi^2}{GM}a^3

Relates orbital period to semi-major axis.