Lecture 21: Dance of the Planets

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How do objects orbit if more than 2 massive bodies are involved? Newton's versions of Keplers 3 Laws of Planetary Motion are only strictly valid for 2 massive bodies. The Solar System, however, clearly has more than 2 massive objects within it. How do we handle this many-body problem? This lecture discusses some of the multi-body gravitational effects se ... Show More

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Lecture 20: Tides

Why are there two high tides a day? This lecture examines tides caused by the differences in the gravity force of the Moon from one side to the other of the Earth (stronger on the side nearest the Moon, weaker on the side farthest from the Moon). The Sun raises tides on the Earth ... Show More

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Lecture 19: Orbits

Why do Kepler's Laws work? In this lecture I will describe Newton's generalization of Kepler's Laws of Planetary Motion so that they will apply to any two massive bodies orbiting around their common center of mass. I will introduce families of open and closed orbits, the circular ... Show More

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Lecture 18: The Apple and the Moon - Newtonian Gravitation

What is Gravity? Starting with the properties of falling bodies first formulated by Galileo, Newton applied his three laws of motion to the problem of Universal Gravitation. Newtonian Gravity is a mutually attractive force that acts at a distance between any two massive bodies. I ... Show More