ASTR 101 Lecture Notes - Lecture 14: Cross Purposes, Galilean Moons, Exoplanet
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Stone: stone does not exactly fall to ground. Stone goes towards earth, and earth rises to meet rock. Teeter-totters: same weight at equal distance = balanced. Different weights, heavier person moves closer to fulcrum to be balance. In this case, light person travels in long arc, heavy person moves up and down only a little. Similar reasoning applies to the behaviour of two objects in mutual orbit under the influence of gravity. Earth and moon feel a gravitational influence of the attraction between them, but since the earth is so massive, it would move only a little. The moon moves in a larger orbit around their common centre of gravity = barycentre. Moon moves in a big orbit while earth wobbles back and forth. Our solar system has a very dominant central sun, with more than 99% of the mass.