Renaissance

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Our view of the history of astronomy will now skip almost 1500 years to the next major advances in astronomy. Europe was beginning to emerge from a long period of instability in the Middle Ages. During the Middle Ages the Islamic civilization had flourished in the Arabic countries. They had preserved and translated the Greek writings and adopted the Greek ideals of logic and rational inquiry. Islamic astronomers were careful observers of the sky and created accurate star catalogs and tables of planet motions. Many of the names of the bright stars in our sky have Arabic names (e.g., Deneb, Alberio, Aldebaran, Rigel to name a few). However, advances in the explanations of the motions of the stars and planets were made by astronomers in Europe starting in the 16th century.

World map at time of Copernicus
Martin Wallseem¸ller's world map of 1507. Select the image to go to Jim Siebold's Renaissance maps database from which this picture came. This is the first map that identified the land across the Atlantic Ocean as ``America''. Exploration of that land was still quite new.

By the 16th century the following paradigm had developed: Man is God's special creation of the physical universe; the Earth is the center of a mathematically-planned universe and we are given the gift of reading this harmony. The Greek ideal of finding logical, systematic explanations to physical events was rediscovered and celebrated to trading with islamic nations. Along with this came an unbounded faith in the power of reason to solve physical problems. This time in history is called the Renaissance (french for ``rebirth'').

Scientists use a guiding principle called Occam's Razor to choose between two or models that accurately explain the observations. This principle, named after the English philosopher, William of Occam, who stated this principle in the mid-1300's, says: the best model is the simplest one---the one requiring the fewest assumptions and modifications in order to fit the observations. Guided by Occam's Razor some scientists began to have serious doubts about Ptolemy's geocentric model in the early days of the Renaissance.

Copernicus' heliocentric universe

Copernicus portrait One such astronomer, Nicolaus Copernicus (lived 1473--1543 C.E.), found many deficiencies in the Ptolemaic model. He felt that any model of the planet motions must account for the observations and have circular, uniform motion. The Ptolemaic model did not do that. Also, the Ptolemaic model was not elegant and, therefore, ``un-Godlike''. During the years between Ptolemy and Copernicus, many small epicycles had been added to the main epicycles to make Ptolemy's model agree with the observations. By Copernicus' time, the numerous sub-epicycles and offsets had made the Ptolemaic model very complicated. Surely, God would have made a cleaner more elegant universe!

Copernicus was strongly influenced by neoplatonism (beliefs that combined elements of Christianity and Platonism) in developing a model to replace Ptolemy's. This led him to believe that the Sun is a material copy of God---God is the creative force sustaining life and the Sun gives us warmth and light. He adopted Aristarchus' heliocentric (Sun-centered) model because he felt that God should be at the center of the universe. Copernicus' model had the same accuracy as the revised Ptolemaic one but was more elegant.

Copernicus retained the Aristotelian notion that planets fulfill the goal of perfect (circular) motion. His model still used small epicycles to get the details of the retrograde loops correct, though they were only a minor feature. He used trigonometry to describe the distances of the planets from the Sun relative to the astronomical unit (average Earth-Sun distance), but he did not know the numerical value of the astronomical unit. He found that the planets farther from the Sun move slower. The different speeds of the planets around the Sun provided a very simple explanation for the observed retrograde motion.

Retrograde motion is the projected position of a planet on the background stars as the Earth overtakes it (or is passed by, in the case of the inner planets). The figure below illustrates this. Retrograde motion is just an optical illusion! You see the same sort of effect when you pass a slower-moving truck on the highway. As you pass the truck, it appears to move backward with respect to the background trees and mountains. If you continue observing the truck, you will eventually see that the truck is moving forward with respect to the background scenery. The relative geometry of you and the other object determines what you see projected against some background.

Copernicus' retrograde explanation
Select image to show animation of retrograde motion.

Copernicus thought his model was reality but other people used his model as a more convenient calculation device only. If the Earth were moving around the Sun, then the stars should appear to shift due to our looking at them from different vantage points in our orbit (a ``parallactic shift'').

However, no parallactic shift was observed in the stars. If there was actually a very small parallactic shift, then the stars would have to be very far away. Copernicus' contemporaries felt that God would not waste that much space! They argued that, therefore, there must be no parallactic shift at all---the Earth is not in motion. Astronomers now know that the stars are indeed very far away and telescopes must be used to detect the small parallactic shifts.

Tycho Brahe's excellent observations

Tycho portrait Tycho Brahe (lived 1546--1601 C.E.) revived Heroclides' model that had the all of the planets, except the stationary Earth, revolving around the Sun. Because Brahe was not a neoplatonist, he believed that the Sun, Moon, and stars revolved around the Earth. Tycho's model was mathematically equivalent to Copernicus' model but did not violate Scripture and common sense.

Tycho calculated that if the Earth moved, then the stars are at least 700 times farther away from Saturn than Saturn is from Sun. Since Tycho felt that God would not waste that much space in a harmonious, elegant universe, he believed that the Earth was at the center of the universe. Astronomers now know that the nearest star is over 28,500 times farther away than Saturn is from the Sun!

Though Tycho's beliefs of the universe did not have that much of an effect on those who followed him, his exquisite observations came to play a key role in determining the true motion of the planets by Johannes Kepler. Tycho was one of the best observational astronomers who ever lived. Without using a telescope, Tycho was able to measure the positions of the planets to within a few arc minutes---a precision and accuracy at least ten times better than obtained by any other naked eye observer.

Vocabulary

astronomical unit epicycle geocentric
heliocentric instrumentalism Occam's Razor
paradigm Pythagorean paradigm realism
retrograde motion

Review Questions

  1. What two basic kinds of models have been proposed to explain the motions of the planets?
  2. What is the Ptolemaic model? What new things did Ptolemy add to his model?
  3. Why are epicycles needed in Ptolemy's model?
  4. Why was the Ptolemaic model accepted for more than 1000 years?
  5. In what ways was the Ptolemaic model a good scientific model and in what ways was it not?
  6. What is the Copernican model and how did it explain retrograde motion?
  7. Why did Copernicus believe in his model?
  8. Why did Copernicus not know the absolute distance between various planets and the Sun in his model? Explain what he would have needed to know to get the absolute distances.
  9. What important contributions did Tycho Brahe make to astronomy?

Battle with the Church

In the 16th century the hierarchical structure of the Church's authority was inextricably bound with the geocentric cosmology. ``Up'' meant ascension to greater perfection and greater control. God and heaven existed outside the celestial sphere. There was a gradation of existence and control from perfect existence to the central imperfect Earth. God delegated power to angels to control the planet movements and to guide the various earthly events. Plants and animals existed to serve humans and humans were to serve God through the ecclesiastical hierarchy of the Church.

Giordano Bruno (lived 1548--1600 C.E.) revived Democritus' (a contemporary of Socrates) view that the Sun was one of an infinite number of stars. This infinite sphere was consistent with the greatness of God. Bruno believed in a heliocentric universe. He believed that God gave each of us an inner source of power equal to all others, so there was no justification for domination and servitude. His model had definite political ramifications that threatened the Church's political authority.

Galileo

Galileo portrait
Select the image to go to the Galileo Project's homepage at Rice University
One of Galileo's telescopes
One of Galileo's telescopes. Select the image to go to Joseph Dauben's homepage for The Art of Renaissance Science.

Galileo Galilei (1564--1642 C.E.) was the first person we know of that used the telescope for astronomical observations (starting in 1609). The telescope was originally used as a naval tool to assess the strength of the opponent's fleet from a great distance. He found many new things when he looked through his telescope:

  1. The superior light-gathering power of his telescope over the naked eye enabled him to see many, many new fainter stars that were never seen before. This made Bruno's argument more plausible.
  2. The superior resolution and magnification over the naked eye enabled him to see pits and craters on the Moon and spots on the Sun. This meant that the Earth is not only place of change and decay!

    Moon drawing by Galileo
    Galileo's drawing of the Moon as seen through one of his telescopes.

  3. With his superior ``eye'' he discovered four moons orbiting Jupiter. These four moons (Io, Europa, Ganymede, and Callisto) are called the Galilean satellites in his honor. In this system Galileo saw a mini-model of the heliocentric system. The moons are not moving around the Earth but are centered on Jupiter. Perhaps other objects, including the planets, do not move around the Earth.
  4. He also made the important discovery that Venus goes through a complete set of phases. The gibbous and full phases of Venus are impossible in the Ptolemaic model but possible in Copernican model (and Tychonic model too!). In the Ptolemaic model Venus was always approximately between us and the Sun and was never found further away from the Earth than the Sun. Because of this geometry, Venus should always be in a crescent, new, or quarter phase. The only way to arrange Venus to make a gibbous or full phase is to have it orbiting the Sun so that, with respect to our viewpoint, Venus could get on the other side of, or behind, the Sun further away from us than the Sun. This was possible only if Venus orbited the Sun (see the figure at the end of the planetary motions section of the previous chapter).
For Galileo the clear observations of a heliocentric universe was a powerful weapon against the hierarchical structure of the seventeenth century Church. Galileo argued that the heliocentric model is not a mere instrument but is reality. His observations showed that.

Galileo also made advances in understanding how ordinary objects move here on the Earth. He set up experiments to see how things move under different circumstances. He found that Aristotle's view of how things move was wrong. Galileo's observations contradicted the long-unchallenged physics of Aristotle, who taught that in order for something to keep moving at even a constant speed, a force must be continually applied. Aristotle also thought that something falling will fall at a constant speed and that heavier things will always fall more quickly than lighter things. Galileo discovered that an object's motion is changed only by having a force act on it. He also discovered that objects falling to the ground will accelerate as they fall and that all objects, regardless of size, would fall with the same acceleration in the absence of air drag.

Galileo is often considered the father of modern science because his ideas were not derived from thought and reason alone. He used the guidance of nature (experiments). This marked a revolutionary change in science---observational experience became the key method for discovering nature's rules. His arguments for the heliocentric model and the critical role of objective observation of nature in science got him into trouble with the Church. Galileo before the tribunal The struggle between Galileo and the Church was not a battle between science and religion but was part of a larger battle over different conceptions of the proper routes to knowledge, God, and world view.

Galileo's intent was to improve the Church by giving a truer understanding of how God actually worked in the physical universe and by allowing greater access to God for more people. Galileo loved to debate and had the bad habit of ridiculing those he disagreed with. Some of those he ridiculed were powerful political figures in the Church. He wrote a book detailing the arguments for and against his model of the universe in a way that ridiculed the official view of the Church. It was written in Italian (the language of everyday discourse) rather than the scholarly Latin, so even non-scholars were exposed to his scathing arguments against the geocentric universe. He may have had more success in getting greater acceptance of his different views of God and research if his style was different but perhaps his ideas needed just such a champion at that time.

Review Questions

  1. What important contributions did Galileo make to modern science?
  2. What were his astronomical discoveries and why was he able to make those discoveries?
  3. Why did he get into political hot water?
  4. What observation finally disproved the Ptolemaic model?
  5. Why is Galileo sometimes referred to as the first ``modern scientist''?

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last updated 25 January 1999


Nick Strobel -- Email: strobel@lightspeed.net

(661) 395-4526
Bakersfield College
Physical Science Dept.
1801 Panorama Drive
Bakersfield, CA 93305-1219