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1 epicycle | astronomy - Encyclopedia Britannica
https://www.britannica.com/science/epicycle
In order to explain the motion of the planets, Ptolemy combined eccentricity with an epicyclic model. In the Ptolemaic system each planet revolves uniformly ...
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2 Ptolemy to the Rescue?
http://homework.uoregon.edu/pub/emj/121/lectures/ptolemy.html
The use of epicycles as a desperate attempt to preserve geocentric cosmology makes the orbits of planets very complicated and violates the scientific search ...
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3 Epicycle Ptolemy, Astronomy & Diagrams - Study.com
https://study.com/learn/lesson/epicycle-ptolemy-astronomy-diagrams.html
In the Ptolemaic model of the solar system, epicycles are small circular orbits that follow around much larger orbits around the Earth. These ...
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4 Ptolemy
https://people.highline.edu/iglozman/classes/astronotes/ptolemy.htm
In the Ptolemaic model, epicycle is the circular orbit of a planet the center of which revolves around the Earth in another circle, the deferent. Epicycles ...
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5 Epicycles and Discovering Bad Theories - A Cosm Company
https://www.spitzinc.com/blog/epicycles-and-discovering-bad-theories/
The planets were not simply attached to a mystical sphere (“deferent”) but they were actually attached to a mini-sphere (“epicycle”) which ...
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6 Ptolemaic Epicycle Machine
https://sciencedemonstrations.fas.harvard.edu/presentations/ptolemaic-epicycle-machine
Ptolemy explained the apparent "looping motion" of the planets by placing the center of one rotating circle, called the epicycle, which carried the planet, on ...
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7 Ptolemy's Model of the Solar System - Richard Fitzpatrick
https://farside.ph.utexas.edu/books/Syntaxis/Almagest/node3.html
From our heliocentric point of view, it is easily appreciated that the epicycles of the superior planets (i.e., the planets further from the sun than the earth) ...
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8 Eccentrics, Deferents, Epicycles, and Equants - MathPages
https://www.mathpages.com/home/kmath639/kmath639.htm
He proposed that each planet moves at uniform speed around a circle – called the epicycle – whose center moves at uniform speed around the deferent, as ...
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9 phy105 - celestial mechanics - ptolemy, copernicus and galileo
http://www.vikdhillon.staff.shef.ac.uk/teaching/phy105/celsphere/phy105_ptolemy.html
Mercury and Venus move in circles, called epicycles, whose centres are fixed on the line joining the Sun to the Earth. The rest of the planets also move in ...
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10 Lecture 5 C. Retrograde motion & Epicycles
http://solar.physics.montana.edu/welsch/Phys101/lecture5c.html
so Ptolemy invented epicycles so planets would actually move forward sometimes & backwards others: normal motion was taken care of by orbiting around the ...
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11 Epicycle Definition & Meaning - Dictionary.com
https://www.dictionary.com/browse/epicycle
In Ptolemaic cosmology, a small circle representing a temporary adjustment to the position of a planet as it orbits the Earth. The five known planets, along ...
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12 Ptolemaic planetary system - UBC Theoretical Physics Web
http://www.theory.physics.ubc.ca/340-current/ptolemaic.html
Ptolemy made two great advances on Hipparchus, on was the deferent/epicycle model for the planetary motion, and the other was the equant model for main ...
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13 Ptolemy's cosmos, to scale - Rhodes Mill
https://rhodesmill.org/ptolemy/notes.html
The motion of every other planet is complicated by an epicycle: a circle whose center travels along the deferent. The planet itself revolves around the ...
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14 Ptolemiac Astronomy - Dr Robert A. Hatch
http://users.clas.ufl.edu/ufhatch/pages/03-sci-rev/sci-rev-teaching/his-sci-study-guide/0034_summaryPtolemiacAstron.html
Planetary Orbits: Once again, the Greek approach to understanding the apparent ... By having the planet travel around the epicycle in the same sense as the ...
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15 Epicycles Explain Retrograde Motion - Astronomy Notes
https://www.astronomynotes.com/history/epicycle.htm
As a planet moves around on its epicycle, the center of the epicycle (called the ``deferent'') moves around the Earth.
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16 Teach Astronomy - Epicycles - YouTube
https://www.youtube.com/watch?v=OQ6nZIO87hQ
What was Ptolemy trying to explain in his model by having the planets move in epicycles?
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17 Solar System Cosmology
https://www.astro.ucla.edu/~wright/solar_system.html
The center of the epicycle always moves West to East (counterclockwise on the picture) along a big circle known as the deferent, and the planet ...
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18 retrograde motion - Vanderbilt University
https://www.vanderbilt.edu/AnS/physics/astrocourses/ast203/ptolemy_notes.html
Epicycles will always produce retrograde loops with equal-sized arcs. The planets' motions do not! According to Ptolemy, Hipparchus produced models for ...
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19 Astronomy 100 Week 5 Lecture Notes
https://spaces.imperial.edu/russell.lavery/ast100/Lectures/Ast100Weekly/Ast100week05.html
These "retrograde loops" do not always look the same! ... Planets move on EPICYCLES which move along DEFERENTS. The motion along the epicycle produces loops ...
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20 Aristotle and Eratosthenes
http://www.pas.rochester.edu/~blackman/ast104/aristotle8.html
Aristotle and Eratosthenes · Aristotle's Spheres · Epicycles and Planetary Motion · More Sophisticated Epicycles: The Ptolemaic Universe · Medieval Aristotelian ...
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21 Geocentric and Heliocentric Models - NMSU Astronomy
http://astronomy.nmsu.edu/geas/lectures/lecture11/slide01.html
... and the five known planets (Mercury, Venus, Mars, Jupiter, and Saturn) in the skies to great accuracy, with a geocentric system of orbits and epicycles.
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22 psr-copernicus - SIUE
https://www.siue.edu/~evailat/psr-copernicus.html
So, since the Sun is at the center of the universe, the center of the deferents carrying the planets' epicycles is not. Hence, although the universe is ...
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23 An epicycle system for planets - IOPSpark - Institute of Physics
https://spark.iop.org/epicycle-system-planets
In this epicycle system for Jupiter, arm EA rotates around the Earth once in 12 years, while arm AJ carries the planet J round once in 365 days. The two motions ...
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24 Module 5: Ch 13-15 Flashcards - Quizlet
https://quizlet.com/576427116/module-5-ch-13-15-flash-cards/
In Ptolemy's system, a planet such as Mars moves around in a small circle called an epicycle. The center point of an epicycle moves around in a larger circle.
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25 arXiv:2208.02137v2 [physics.hist-ph] 24 Aug 2022
https://arxiv.org/pdf/2208.02137
If one wants to translate the heliocentric picture of planets moving uni- ... Ps will run on an epicycle with larger radius than that of the ...
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26 Who believed that planets moved in epicycles as they ... - Quora
https://www.quora.com/Who-believed-that-planets-moved-in-epicycles-as-they-revolved-in-larger-cycles-around-Earth
The Greek scholar Aristotle had some definite ideas about how the universe worked that today ...
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27 General Astronomy/Apparent Motions of the Planets - Wikibooks
https://en.wikibooks.org/wiki/General_Astronomy/Apparent_Motions_of_the_Planets
Two such problems are the apparent retrograde motion of various planets, specifically Mars, and the ensuing epicycle theory made to compensate for this ...
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28 A Brief Introduction to Ancient Planetary Models
https://people.sc.fsu.edu/~dduke/annotations.htm
If the motion of the planet on the epicycle is now counterclockwise, then (within certain parameter limits) the planet will exhibit retrograde motion as ...
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29 Epicycles of Ptolemy 100 - Statistics How To
https://www.statisticshowto.com/epicycles-of-ptolemy/
Ptolemaic astronomy showing a planet rotating on an epicycle which is ... All heavenly motion is uniformly circular,; Heavenly objects do not change (e.g., ...
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30 Copernican Model - University of Arizona
http://ircamera.as.arizona.edu/NatSci102/NatSci/text/copernicusmodel.htm
... the best possible fits to the motions of the planets in his new system. ... clear his motivation: "[Those who use] eccentrics and epicycles .. do not ...
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31 How did Ptolemy's model account for retrograde motion? - Toppr
https://www.toppr.com/ask/en-us/question/how-did-ptolemys-model-account-for-retrograde-motion-58628b-1/
Ptolemy's model took epicycles even further, using them to explain the brightening and dimming of the planets as well, by having epicycles attached to epicycles ...
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32 PH1311 - Chapter 1 Part 1 / Motion of the Planets - SMU Physics
http://www.physics.smu.edu/jcotton/ph1311/ch01a.htm
This retrograde motion of planets required the geocentric model to become loaded with epicycles, off-center equants, and orbits going around nothing. One might ...
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33 Lecture 10 Copernicus on the Earth's Orbit around the Sun
http://patrick.maher1.net/270/lectures/cope2.pdf
Sun. Earth. Mars. Distance at opposition. Page 9. Ptolemy's explanation: The epicycles of the superior planets rotate so as to bring them closest to Earth when ...
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34 Chapter 2: The Copernican Revolution - Langara iWeb
https://iweb.langara.ca/rjohns/files/2016/10/Intro_Science_ch2.pdf
was that each planet has both an epicycle and a deferent, which allows a lot of ... one planet [the moon] rotating about another [the earth] while both run.
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35 Planetary Motions & The Correct Solar System Model
http://www.physics.uwyo.edu/~davec/teaching/Astro1050Summer2013/8_MotionOfPlanets.pdf
Why do the planets move so weird??? • How did people (only 400 years ago) ... Sun is at the center of the solar system? ... as the Sun…with epicycles!
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36 Class 1: Overview of the Course; Ptolemaic Astronomy
https://dl.tufts.edu/downloads/gb19fh83m?filename=rx914153m.pdf
Angular location of planet on epicycle corresponds to direction from earth O to mean ... method of deriving the ratio of the deferent and epicycle radii, do.
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37 Ptolemy used epicycles - planets moving along circles that ...
https://www.reddit.com/r/science/comments/96y7r/ptolemy_used_epicycles_planets_moving_along/
Ptolemy used epicycles - planets moving along circles that themselves move along circles. With enough epicycles, one can trace out ANY orbit. Doh! Play.
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38 Retrograde motion can be real or illusory - EarthSky
https://earthsky.org/astronomy-essentials/what-is-retrograde-motion/
The Earth sat near the center of the universe. The planets moved around a small circle (the epicycle) which in turn moved along a larger circle ...
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39 Fractals and Epicycles - Rising Entropy
https://risingentropy.com/fractals-and-epicycles/
Epicycles were first used by the Greeks to reconcile observational data of the motions of the planets with the theory that all bodies orbit ...
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40 Epicycles were able to explain apparent retrograde motion of ...
https://www.researchgate.net/figure/Epicycles-were-able-to-explain-apparent-retrograde-motion-of-planets-in-the-problematic_fig4_235360224
Download scientific diagram | Epicycles were able to explain apparent retrograde motion of planets in the problematic Earth-centered Ptolemaic universe ...
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41 Understanding our Solar System-Copernicus - Dynamic Science
http://www.dynamicscience.com.au/tester/solutions1/space%20science/copernicus.html
Copernicus' model did not eliminate the need for epicycles. Epicycles were used in an attempt to explain observations of planetary motion more accurately, ...
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42 The planetary increase of brightness during retrograde motion
https://pubmed.ncbi.nlm.nih.gov/26568091/
In Ancient Greek two models were proposed for explaining the planetary motion: the homocentric spheres of Eudoxus and the Epicycle and Deferent System.
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43 Copernicus Epicycles versus Kepler's Ellipses
https://demonstrations.wolfram.com/CopernicusEpicyclesVersusKeplersEllipses/
Contrary to common belief the Sun is not precisely at the center of the Copernican universe nor do the planets orbit around it in perfect ...
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44 Stars and Galaxies- chapter 2 Flashcards | Chegg.com
https://www.chegg.com/flashcards/stars-and-galaxies-chapter-2-5bb16ae8-94b4-42a1-8f8f-9fcea8bf89f9/deck
An epicycle - the circular orbit of a planet in the geocentric (Ptolemaic) model, the center of which revolves around the Earth in another circle. It is used in ...
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45 helio_geo_epicycle_animation.html - UNLV Physics
https://www.physics.unlv.edu/~jeffery/astro/ptolemy/helio_geo_epicycle_animation.html
The individual deferent with an epicycle motions are NOT shown. ... The relatively small planets do NOT affect each other to 1st order and their motions are ...
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46 Geocentric Cosmology. - Explaining Science
https://explainingscience.org/2017/11/10/geocentric-cosmology/
Rather than than revolve directly round the Earth, a planet moves at constant speed in a small circle called an epicycle. The centre of the ...
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47 Geometric patterns design with recursive pursuit relative motions
http://www.mi.sanu.ac.rs/vismath/liao/introduction.html
Eudoxas (408-355 BC), a Greek mathematician [1], who was the first to describe a theoretical explanation of the movements of the planets, and proposed model ...
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48 Whose Revolution? Copernicus, Brahe & Kepler | Modeling ...
https://www.loc.gov/collections/finding-our-place-in-the-cosmos-with-carl-sagan/articles-and-essays/modeling-the-cosmos/whose-revolution-copernicus-brahe-and-kepler
Copernicus' system required perfect circular motion, and as such, it still required (much smaller) epicycles, for the planets to match their observed motions.
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49 Multimedia - Ptolemaic system - Museo Galileo
https://catalogue.museogalileo.it/multimedia/PtolemaicSystemBis.html
Claudius Ptolemy perfected the theory of epicycles developed by Apollonius and Hipparchus. To explain the fact that the planets' retrograde movements are ...
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50 Lecture 14: The Revolutions of Nicolaus Copernicus
https://www.astronomy.ohio-state.edu/pogge.1/Ast161/Unit3/copernicus.html
Natural consequence of observing moving planets from a moving Earth. · By contrast, Ptolemy's system required epicycles to get retrograde motion.
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51 Ptolemaic System - The Galileo Project | Science
http://galileo.rice.edu/sci/theories/ptolemaic_system.html
In doing so, however, Ptolemy violated the cosmological and physical rules of Aristotle. The excentric and epicycle meant that planetary motions were not ...
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52 Astro110-01 Lecture 7 The Copernican Revolution - IfA
https://home.ifa.hawaii.edu/users/shadia/lectures/habbal_astro110-01_spring2009_lecture7.pdf
planets move in circles, called epicycles, that were ... Planets really do go backward in this model. Ptolemaic Model epicycle deferent ...
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53 Plotting Epicycles (Shallow Thoughts)
https://shallowsky.com/blog/science/astro/plotting-epicycles.html
[inner planet orbits from north ecliptic pole, ... It's neat to watch it in the planetarium, but you can't do that every day.
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54 2.3 Heliocentric Models - WebAssign
https://www.webassign.net/question_assets/uncastrosolarsys1/lab_2_3/manual.html
Unlike the sun and the moon, the planets do not move across the sky at a uniform rate. ... However, the addition of orbit offsets and epicycles negated the ...
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55 Adding Epicycles - Wiki
https://wiki.c2.com/?AddingEpicycles
If the planets moved in epicycles, what were they revolving around that in turn ... If it does the job the tool is intended to do (predict planet position), ...
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56 The Mathematical Power of Epicyclical Astronomy - isidore.co
https://isidore.co/misc/Physics%20papers%20and%20books/Philosophy%20&%20History/Mathematical%20Power%20of%20Epicyclical%20Astronomy%20(Hanson).pdf
do not include the round earth within their own orbit, but are carrie(d around ... By altering the speed of the planet's east-to-west motion on an epicycle.
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57 The Science of Astronomy
http://burro.case.edu/Academics/Astr201/Chap03a.pdf
How did the Greeks explain planetary motion? ... retrograde motion of planets… ... Problem: Simple epicycles didn't do a very accurate.
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58 L. Dixon On Epicycles and Ellipses - UniBg
http://wwwdata.unibg.it/dati/bacheca/63/21692.pdf
represented the orbit of each planet by a simple offset epicycle would ... the planetary motion accurately but as we have seen it should do.
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59 How did Ptolemy's model account for retrograde motion?
https://socratic.org/questions/how-did-ptolemy-s-model-account-for-retrograde-motion
Ptolemy included epicycles in his orbits. Explanation: Ptolomy's model of the solar system was geocentric, where the sun, moon, planets, ...
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60 chapter3
https://home.csulb.edu/~htahsiri/astrouci/chapter3.html
* Greek astronomy culminated with the epicyclic system of Ptolemy. In Ptolemy's model the retrograde motion of a planet was produced by the combination of two ...
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61 Understanding Astronomy: Before Copernicus - Physics
https://physics.weber.edu/schroeder/ua/BeforeCopernicus.html
In the ancient Greek epicycle model of planetary motion, each planet is affixed to a small wheel (the "epicycle") whose center is affixed to a large wheel ...
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62 Johannes Kepler: Unlocking the Secrets of Planetary Motion
https://www.space.com/15787-johannes-kepler.html
An occasional problem — such as Mars appearing to suddenly reverse course — was solved by the addition of miniature circles, or epicycles, ...
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63 End the Epicycles of Roe - Reason Magazine
https://reason.com/volokh/2021/11/02/end-the-epicycles-of-roe/
Defenders of the geocentric model conceived of the so-called epicycles. In fact, the planets that orbited the earth also orbited within a small ...
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64 Kepler's Laws
http://www.astro.sunysb.edu/fwalter/AST101/keplers_laws.html
This is not observed, so Ptolemy and his followers devised a system of epicycles, that is, the planets traveled on little circles whose centers orbited the ...
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65 Epicycle Definition & Meaning - Merriam-Webster
https://www.merriam-webster.com/dictionary/epicycle
The meaning of EPICYCLE is a circle in which a planet moves and which has a center that is itself carried around at the same time on the circumference of a ...
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66 Mercury's meandering deferent - Seb Falk
https://www.sebfalk.com/post/mercury-s-meandering-deferent
Before I do, I should stress that the success or failure of ... But the epicycle is still a circle, and the planet is assumed to move around ...
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67 Historical Astronomy Concepts: Models of the Solar System
http://themcclungs.net/astronomy/concepts/models.html
Copernicus believed very strongly in the Principle of Uniform Circular Motion; so he still had to use epicycles to predict the planets' positions. Unlike ...
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68 The Heliocentric Model - E-education.psu.edu
https://www.e-education.psu.edu/astro801/book/export/html/1536
It was believed that Earth was at the center of everything and that a planet moved on a circular path called an epicycle, the center of which moved on a larger ...
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69 The Aristotelian-Ptolemaic Universe - Faculty
http://facultysites.vassar.edu/brvannor/Asia350/ptolemy.html
Ptolemy explained this with "epicycles." (See the image below, and the explanation beneath the image.) "E" is the Earth. "P" is a planet. The primary orbit of ...
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70 Epicycles of the Planets for clarinet quartet - ScoreVivo
https://scorevivo.com/product/epicycles-of-the-planets-for-clarinet-quartet/
Epicycles are ancient mathematical constructs that used numbers to explain geometry, musical harmonies and planetary motions. This quartet depicts the ...
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71 The Epicycles of Ancient Astronomy – Miguel Lopez
https://web.sas.upenn.edu/miguellopez/2021/08/09/fourier/
They theorized that the planets had smaller “suborbits”, that is, they orbited a point which meanwhile orbited Earth (well not quite Earth, but ...
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72 What To Do, Scientifically, When Everyone Is Wrong - Forbes
https://www.forbes.com/sites/startswithabang/2020/08/11/what-to-do-scientifically-when-everyone-is-wrong/
Chart showing signs of the zodiac and the solar system with world at ... apparent retrograde motion of the planets without any epicycles.
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73 History and Philosophy of Western Astronomy
http://www2.phy.ilstu.edu/~bkc/astronomy/history/historyb.htm
By Copernicus' time, the numerous sub-epicycles and offsets had made ... to play a key role in determining the true motion of the planets by ...
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74 epicycles, by Jean-Pierre Luminet - Les blogs de Futura
https://blogs.futura-sciences.com/e-luminet/tag/epicycles/
The circle in which a planet moves, called its epicycle, no longer had the earth at its centre as in Eudoxus' theory, but itself revolved around another ...
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75 Epicycles Are Almost as Good as Trigonometric Series
https://www.cs.utep.edu/vladik/2019/tr19-82.pdf
epicycles, when a planet makes a circular motion not around the Earth, but around a special auxiliary point which, in turn, performs a circular.
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76 What are epicycles, deferents, eccentrics, equants, etc.?
https://hsm.stackexchange.com/questions/3791/what-are-epicycles-deferents-eccentrics-equants-etc
All these words are from astronomy, used to describe the motion of the Sun, Moon and planets. The simplest model is this. Suppose that Earth is the center ...
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77 [Solved] Ancient Greek astronomers introduced the epicycles ...
https://www.studocu.com/en-us/messages/question/2735238/ancient-greek-astronomers-introduced-the-epicycles-in-order-to-describea-the-observed-motion
In the astronomical system of Greek astronomers such as Ptolemy and Copernicus introduced epicycles to describe the motion variation of planets, moon, and sun.
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78 Bob Gardner's NSTCC Astronomy "Chapters 1-5 Homework ...
https://faculty.etsu.edu/gardnerr/nstcc/hw1.htm
Answer (geocentric): The planets move on epicycles which lie on the deferents. As the planets are on the part of their epicycle closest to the Earth, ...
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79 Planetary astronomy in ancient Greece | OUPblog
https://blog.oup.com/2017/07/planetary-astronomy-ancient-greece/
The new idea is that each planet travels around a circle called the epicycle, while the centre of the epicycle moves around the Earth on another ...
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80 Kepler's Laws of Planetary Motion - NASA Earth Observatory
https://earthobservatory.nasa.gov/features/OrbitsHistory/page2.php
While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, ...
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81 Ptolemy's Explanation of Why Planets Move at Different Speeds
https://classroom.synonym.com/ptolemys-explanation-planets-move-different-speeds-17642.html
But this did not match the model that Ptolemy had. He fixed this by putting in what we call epicycles instead. He put small little rotations in all of these ...
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82 The Ptolemaic System: A Detailed Synopsis
https://digitalcommons.kennesaw.edu/cgi/viewcontent.cgi?article=1045&context=ojur
les here is problematic. The eccentric plus epicycle of the standard mod of the three planets. But how do we count the additional equant?
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83 Astronomy Notes 3 - History of Astronomy
https://sites.uni.edu/morgans/astro/course/Notes/section1/new3.html
What did Copernicus, Brahe, Kepler, Galileo and Newton do (astronomically speaking)? ... The Sun, Moon, and planets have their own orbits about the Earth.
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84 Use epicycles in a sentence - RhymeZone
https://www.rhymezone.com/r/rhyme.cgi?typeofrhyme=wke&loc=thesql&Word=epicycles
According to these laws, planets move on ellipses (not epicycles ) about the Sun (not ... do not accompany it on the epicycles which it makes every time.
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85 Introduction to the Solar System | Earth Science - Course Hero
https://www.coursehero.com/study-guides/sanjac-earthscience/introduction-to-the-solar-system/
According to Ptolemy, a planet moves on a small circle (epicycle) that in turn moves on a larger circle (deferent) around Earth. An animation of Ptolemy's ...
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86 Ptolemy's Model of the Inner Planets - Galileo and Einstein
https://galileoandeinstein.phys.virginia.edu/more_stuff/Applets/PtolemyInner/ptolemys_model_inner_planets.html
The motion of a single planet required more than one such sphere: it needed two (or in some models more), like a three-dimensional version of the epicycles, ...
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87 In Ptolemy's model, how do the epicycles of Mercury and ...
https://brainly.com/question/13323459
Explanation:The planets Mercury and Venus , present inside the Earth's orbit appears to move with smaller epicycle sizes than the planets outside the ...
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88 Explaining Retrograde Motion of the Planets
http://employees.oneonta.edu/gallagha/a108_s10_web/a108_s10_0208.pdf
The planet appears brightest during retrograde motion. ... Ptolemy's model) do an excellent job ... when the motion of the planet on the epicycle (red.
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89 Copernican Revolution in the Complex Plane
https://www.ias.ac.in/article/fulltext/reso/017/11/1065-1084
(right) In the model deferent–epicycle by Apollonius, a planet moves on a minor circle (epicycle) ... vices, but only with Copernicus do they acquire a clear.
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90 Solar System Astronomy, Lecture Number 2 - NJIT
https://web.njit.edu/~gary/320/Lecture2.html
In this world-view, the Earth moves in a perfect circle about the Sun (the influence of Aristotle's perfect heavens idea), as do all of the other planets ...
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91 Ptolemaic Astronomy in the Middle Ages - Princeton University
https://www.princeton.edu/~hos/mike/texts/ptolemy/ptolemy.html
The moon and planets required much more intricate arrangements, fundamental to which was the epicycle (Fig. 2). The body was taken to move on a small circle, ...
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92 Science Lecture for Unit 10: Aristotle, Ptolemy, and the Planets
https://www.dorthonion.com/drcmcm/NATURAL_SCIENCE/Lessons/Lectures/wk10_Ptolemy_Astro/NSS.php
The original system proposed by Hipparchus used epicycles which were able to model retrograde motion and to explain the dimming and brightening of the planets ...
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93 PERIPHERIES OF EPICYCLES IN THE GRAHALĀGHAVA
https://www.narit.or.th/files/JAHH/2017JAHHvol20/2017JAHH...20..341R.pdf
the five planets (Mercury, Venus, Mars, Jupiter and Saturn) another ... almanac (paÒcāṅga) makers to do calculations ... ric position of the planets.
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94 Galileo | Before Newton
https://beforenewton.blog/daily-readings/galileo/
This suggests that Ptolemy himself, or his successors, used epicycles on epicycles to ... First, Ptolemy's models do not describe the ORBITS of planets.
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95 Against the Grain | by Brian Koberlein
https://briankoberlein.com/blog/against-the-grain/
The orbits of the planets are often portrayed as elongated ellipses, which makes it seem blindingly obvious that the planets do not move in ...
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96 Curves of planetary motion in geocentric perspective
http://gerdbreitenbach.de/planet/planet.html
The planet's paths and their symmetries ... Due to the fixed ratio of revolution times between the earth and the other planets quasi-periodic figures arise. Venus ...
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