Newton’s Version of Kepler’s Third Law

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Presentation transcript:

Newton’s Version of Kepler’s Third Law p = orbital period a = average orbital distance (between centers) (M1 + M2) = sum of object masses Optional: use this slide if you wish to introduce the equation for Newton’s version of Kepler’s third law.

How does gravity cause tides? Use this figure to explain the origin of the tidal bulges. Gravitational pull decreases with (distance)2, the Moon’s pull on Earth is strongest on the side facing the Moon, weakest on the opposite side. The Earth gets stretched along the Earth-Moon line. The oceans rise relative to land at these points. Moon’s gravity pulls harder on near side of Earth than on far side. Difference in Moon’s gravitational pull stretches Earth.

Tides and Phases Size of tides depends on phase of Moon.

Tidal Friction Optional special topic. You might wish to perform the demonstration shown in the figure… Tidal friction gradually slows Earth’s rotation (and makes the Moon get farther from Earth). The Moon once orbited faster (or slower); tidal friction caused it to “lock” in synchronous rotation.