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Table of contents

Gravitation and the Waltz of the Planets

Guiding Questions

Ancient astronomers invented geocentric models to explain planetary motions

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Nicolaus Copernicus devised the first comprehensive heliocentric model

A planet undergoes retrograde motion as seen from Earth when the Earth and the planet pass each other

A planet’s synodic period is measured with respect to the Earth and the Sun (for example, from one opposition to the next)

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Tycho Brahe’s astronomical observations disproved ancient ideas about the heavens

Parallax Shift

Johannes Kepler proposed elliptical paths for the planets about the Sun

Kepler’s First Law

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Kepler’s Second Law

Kepler’s Third Law

Galileo’s discoveries with a telescope strongly supported a heliocentric model

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Geocentric

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Isaac Newton formulated three laws that describe fundamental properties of physical reality

Newton’s Law of Universal Gravitation

Newton’s description of gravity accounts for Kepler’s laws and explains the motions of the planets and other orbiting bodies

Orbits

Orbits may be any of a family of curves called conic sections

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Gravitational forces between two objects produce tides

The Origin of Tidal Forces

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Key Words

Author: Michael Cohen

E-mail: mrcohe@ship.edu

Homepage: http://physics.ship.edu/~mrc/