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Tycho Brahe
teacher of Kepler; mapped the night sky over 20 years of observations
epicycle
smaller circular path along a circular path
Johannes Kepler
astronomer who used geometry and mathematics with a sun-centered solar system to calculate the motion of the planets; developed three laws that describe the behavior of every planet and satellite
Kepler’s First Law of Planetary Motion
the paths of the planets are ellipses with the center of the sun at one focus; went against the belief that the planets follow a circular orbit
ellipse
oval shape drawn about two foci; in the equation of an ellipse, a is the radius along the x-axis and b is the radius along the y-axis
Kepler’s Second Law of Planetary Motion
an imaginary line from the sun to a planet sweeps out equal areas in equal time intervals; planets move fastest when closest to the sun and slowest when farthest from the sun; went against the belief that the Earth is stationary and proposed the idea that planets travel at varying speeds throughout their orbits
period
(T) time to complete one full cycle of motion
Kepler’s Third Law of Planetary Motion
the ratio of the squares of the periods of any two planets revolving about the sun is equal to the ratio of the cubes of their average distances from the sun, where T is period, r is average distance from the sun, and a and b represent two planets; provided accurate data for the distance the planets are from the sun
Inverse Square Law
variance of physical quantities inversely as another quantity is squared
Law of Universal Gravitation
for any pair of objects, each object attracts the other with a force directly proportional to the product of the masses of the objects, and inversely proportional to the square of the distance between their centers
universal gravitational constant
(G) constant used to provide the proper units and proportion when using Newton’s Law of Universal Gravitation
Henry Cavendish
measured the value of G
support force
force that completely balances the weight of an object at rest; normal force
apparent weightlessness
experiencing the effects of zero gravity due to the lack of a support force; g = 0
gravity
the way in which masses communicate with one another