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copernicus, tycho, kepler
where was copernicus from?
poland
copernicus was a _______________ man
renaissance
this person was a: mathematician, physician, astronomer, scholar, translator, AND an economist. boi was doing it ALL
copernicus
what institution was copernicus an employee of?
the church
what 2 universities did copernicus attend?
university of krakow and university bologna
copernicus thought that ptolemy’s model of the universe was aesthetically unpleasant. why?
the equants violated uniform circular motion
what did copernicus write
commentariolus
what was the commentariolus?
40 page outline of copernicus
what are the seven propositions of commentariolus
1) celestial bodies all revolve around a singular point
2) earth is the only center of the moon’s orbit (lunar sphere)
3) all other spheres rotate around the sun
4) distance betw earth and sun is much smaller than distance to stars
5) stars are immovable (motion is just caused rotation of the earth)
6) earth moves in sphere around sun
7) earth’s orbital motion around sun causes retrograde motion of planets
what’s it called when nearby stars move with respect to more distant ones
parallax
what is the idea of parallax a critique of?
aristarchus’s model
mercury and venus are never seen far from the sun, and this is due to ___________ of inner planet
elongation
elongation of inner planets is explained in what model?
heliocentric
what word does the heliocentric model use to describe the motion of the inner planets
transit
the heliocentric model explains retrograde motion without what?
epicycles
what is retrograde motion?
faster moving earth overtakes slower moving outer planet
a planet is brightest during its ______________ loop
retrograde
what are the two phases of venus
ptolemaic and copernican
in the ptolemaic phases of venus, venus only ever shows what two phases?
new and crescent
what did copernicus formally publish his findings in toward the end of his life? he waited so long because he was afraid of being called out for heresy.
de revolutionibus orbium coelestium
name FIVE PROS of heliocentrism
simple
no special rules for planets
retrograde motion outer planets explained
elongation explained
transits explained
nave THREE CONS of heliocentrism
no parallax observed
not more accurate than ptolemy
required epicycles for small corrections
after copernicus, calculations were
simpler
what was needed to confirm copernicus’s system was better than ptolemy’s
telescope
who introduced the concept of the infinite copernicus universe, risking religious controversy?
thomas digges
who was a member of the catholic clergy, but still argued that space extends in all directions, that there’s life on other planets, and was condemned by church and burned at the stake
giordano bruno
what universities did tycho attend?
copenhagen and rostock
what did tycho publish?
stella nova
what did the stella nova say
heavens are not immutable
stella nova =
supernova that exploded
what was tycho’s replacement nose made of?
gold
where was tycho relocated when king frederick II couldn’t tolerate him
prague
tycho was an imperial mathematician to what emperor?
rudolph II
who observed that the comets tail pointed away from the sun?
tycho
in the tychonic system, planets orbit the sun, and the sun orbits what?
the earth
there are no crystalline spheres in the ________ system
tychonic
who used astrology to explain general human behavior with horoscopes
tycho
what university did kepler attend
tubingen
what was kepler’s book
mysterium cosmographicum
in kepler’s model of the solar system, the distance between the 6 planets was represented by what?
5 pythagorean solids
in kepler’s system, each planet is nested on the inner sphere of a ___________ whose outer sphere contains the next planet
polyhedron
what planet did the last sphere of kepler’s polyhedron represent
saturn
what are the 5 regular solids
octahedron
icosahedron
dodecahedron
tetrahedron
cube
who became tycho’s assistant?
kepler
what did kepler do after tycho died?
stole his data
kepler abandoned his use of circular orbits because what planet differed by 8 arcminutes?
mars
what are kepler’s 3 laws of planetary motion?
1) planetary orbits are ellipses
2) a planet in its orbital plane sweeps out equal areas in equal amounts of time
3) square of the period of an orbit is proportional to the cube of the semi-major axis
kepler’s laws of planetary motion applied to what comet?
halley
important contemporaries ignored kepler’s work, as they resisted the elimination of ______________ _____________ _____________
circular uniform motion
within kepler’s laws, the period of earth’s orbit is determined to be
1 year
within kepler’s laws, quicker orbits were determined to be of
planets closer to the sun