Kepler's second law (law of areas) is nothing but a statement of
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According to Kepler"s second law of planetary motion, the radius vector joining planet to the
sun sweeps out equal areas, in equal interval of time.
i.e.,
constant

According to figure, r be the position vector of the planes w.r.t. sun and F be the gravitational force. on the planet due to the sun. Then, torque exerted on the planet by this force about the sun is


Angular momentum
constant
Hence, kepler's second law (law of areas) is equivalent to low of conservation of angular momentum.
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