Showing posts with label Kepler. Show all posts
Showing posts with label Kepler. Show all posts

Thursday, 27 October 2011

And Yet it Moves! Part IV

Galileo before the Inquisition
The whole affair has an air of tragedy about it, with the protagonists cursed by their own abilities and destroyed by their own inherent faults. The Church was initially agreeable to helio-centrism (which is true, just in case people were wondering) but the thought of being questioned on theology terrified them and to be faced with a layman who told them what to believe caused the clerics to strike back to protect the status quo. Galileo was a victim of his own ego. He repeatedly alienated potential allies because they showed signs of ability and he refused to admit the possibility that he was wrong to champion Copernicus' theory.

What turns the tragedy into farce is that, while both sides were wrong, the answer had already been discovered if either side in the trial had bothered to read it. Johannes Kepler, whom we came across earlier, had been obsessing about perfect shapes affecting the planets which had by a convoluted process, allowed him to discover the laws of planetary motion. The flaw in Copernicus' theory was that Copernicus, like the medieval philosophers, had simply assumed that all planetary motions were circular. By introducing elliptical orbits Kepler had saved the day and completed the revolution (if you'll pardon the pun) that Copernicus had started. Kepler had helped Galileo with his work but when he sent a copy of his own book to Galileo, hoping for an endorsement from the great astronomer, Galileo ignored it. Kepler died in 1630 but his theories were already receiving tentative confirmation by 1631.The great showdown between Galileo and the Inquisition was not until 1633 and news travelled fast between scientists.

Johannes Kepler
The church astronomers and Galileo should have been aware of Kepler's ideas and discoveries (Galileo had actually had the book sent to him by the author). Another damning mark against Galileo is that Kepler had also published a theory of the tides, which Galileo viewed as being pivotal to helio-centrism. Kepler had an alternative idea, albeit a crazy one, that the tides were caused by the Moon's movement acting at a distance. Galileo laughed at it as a "useless fiction." Kepler was right. Galileo was wrong.

The Galileo Affair was a clash of science against religion. It was also a clash of bad science against well, bad science. But it was mainly a clash of egos. Galileo was a great man. His work on falling bodies paved the way for Newton and was perhaps his greatest achievement, but he was active in making discoveries in many branches of science. But, by refusing to admit that he could be wrong he drew the anger of the authorities on himself. The Catholic Church behaved poorly as well, and its dogged insistence on treating anything associated with opposition as heresy hurled it from being at the cutting edge of science to being (from a scientific perspective) hundreds of years behind the rest of Europe.

And who was the real hero of the affair? Galileo was not the infallible man of science. There's no real evidence that he ever muttered "Eppur si muove!" (And Yet It Moves!) and his conduct betrayed all too human failings. He was a genius and we can forgive genius a lot. But for a truly extraordinary man of science, one whom we should take as a role model, I believe that Kepler is the real hero of the tale.

The Old Geocentric Model: What we have left behind
Postscript: It should be noted that some people have told this tale with slight variations, some favouring Galileo more, others favouring the Church. I am roughly retelling, in a far inferior form, the historical narrative laid out by Arthur Koestler in his excellent book Sleepwalkers. If you want to read more about the events, times and people involved in the birth of the scientific revolution I would highly recommend it.

And Yet It Moves: Part I
And Yet It Moves: Part II
And Yet It Moves: Part III
And Yet It Moves: Part IV







Wednesday, 19 October 2011

And Yet It Moves! Part II

Copernicus
Copernicus had completed most of his calculations and his work was nearly ready to be published. But Copernicus delayed. One might assume, looking backwards at history with our modern notions, that he was concerned about religious persecution by the Catholic authorities but in actual fact, the papacy were very interested in the document and the cardinals wrote to Copernicus urging him to publish. The main religious opposition came from the Protestant side, with both Luther and Melanchthon (Luther's most notable pupil and a crucial figure in the history of Lutheranism) writing against helio-centrism. But Copernicus was well beyond the reach of any Protestant authorities. So why did he not publish?

As usual, we can't really be sure, but it would seem that Copernicus was unhappy with his own ideas. He didn't have any decent proofs of his own work that would stand up to scientific scrutiny, and, as he was not using any advanced scientific equipment, even by the standards of the day, he was unlikely to find any. If he published a work without proof he would have to defend it to the world and he may not have felt equal to the task. His pupil, Rheticus, took it upon himself to publish the book while Copernicus was on his deathbed and the great secret that everyone already knew, was out.

The Copernican Model
Copernicus' work provoked a great deal of debate in Europe, but did not produce a scientific revolution per se. Astronomers, scientists and theologians all agreed that it was an interesting concept but many disliked the idea and most withheld judgement about it. This was not because the intelligentsia of the time were necessarily bound to tradition but because Copernicus' theory was just, well, a theory. It was a theory without proof, a model of how the heavens moved. The problem was that, while it simplified some of the equations and provided a decent model for celestial movements, it suffered from many of the same defects as the Ptolemaic model.

Copernicus had represented the Sun as being in the centre of the Universe around which the planets moved in perfectly circular orbits. From this one could work out the positions in which the planets should appear in the night sky. After all, this was in an age when space exploration was undreamt of and the night sky was all that the astronomers had to go on. And the helio-centric theory was wrong. Interestingly, the word planet derives from the Greek word for “wanderer” due to their unusual tracks in the sky. The planetary positions did not fit at all and Copernicus had to introduce epicycles to try and make it work. But even with these, the orbit of Mars meandered aimlessly and until a theory could be found to reconcile these anomalies, the thinkers of Europe withheld judgement. Copernicus was now passed away and now the challenge had been laid down to either refine and prove the ideas of Ptolemy or Copernicus or come up with a third theory.

Tycho Brahe
A Danish scientist called Tycho Brahe took up the challenge. He came up with a theory where the Earth was at the centre of the Universe and the Sun revolved around the Earth but where the planets revolved around the Sun, rather than the Earth in the Ptolemaic sense. This theory had problems as well but Tycho Brahe made an effort to solve them by setting up a small island full of machines and observation towers to map the sky with unparalleled clarity and prove his theory. There is a modern tendency to ignore Tycho Brahe's work (we now know that he was incorrect) but it should be remembered that Tycho's measurements were probably the finest measurements ever carried out without the aid of telescopes and large volumes of data were collected with the help of his assistant, Johannes Kepler. But still the theory didn't quite work. Tycho Brahe died hoping that his assistant would continue to work on perfecting the Tychonic theory but it was not to be. Kepler became obsessed with the mystical notion of perfect shapes (circles, triangles, etc.) that, if their radii and lengths of sides held a certain proportion, could give the right figures for the orbits of the planets in a Copernican system. This sounds like a pretty silly notion to us, and it is actually nonsense, but it was to have important consequences.

Tycho Brahe's island
The political situation of the time was changing. The rapid spread of Lutheranism had pretty much stopped and the second wave of Protestantism (Calvinism) had begun. The Catholic Church had reasserted doctrinal points in the Council of Trent and had begun to combat the spread of Protestantism effectively. The Inquisition in Italy and Spain and the newly founded order of the Jesuits were crucial in this retrenchment of Catholicism. The old haphazard tolerance of the Middle Ages and the Renaissance disappeared as the champions of Reformation and Counter-Reformation kept watch for any deviation from the doctrines of their particular church.

There are certain passages in the Bible that seem to suggest that the Earth remains in place. When Copernicus' work was first published no one in the Catholic Church objected to it, but after a few years minor clerics began to question whether Copernicus could be reconciled with Scripture. The Protestants, who had no central authority anyway, became more amenable to the doctrine but it wasn't considered important enough to really merit discussion from the pulpit. The Catholic Church made no official decision regarding Copernicus and whether his text was heretical but the Inquisition was examining any belief that deviated from the norm and it was possible that helio-centrism might be a cover for heresy. This uneasy situation, where helio-centrism was tolerated but could attract suspicion, lasted for a number of years.

Kepler's Initial Vision of the Universe
Meanwhile, an Italian scientist by the name of Galileo Galilei (finally, we get to Galileo) heard of a Dutch invention, which we now refer to as the telescope. Galileo is often credited with the invention of the telescope but in fact he merely refined it. However, he was probably the first person to use it to look at the sky. Galileo discovered the larger moons of Jupiter fairly quickly and became enamoured of the heliocentric theory. If the planets had moons then possibly the earth, which had a moon, was also a planet. At the time philosophers believed (from Aristotle) that the celestial bodies were perfect and almost of a different order of being from earthly objects. Galileo discovered the imperfections on the Moon's surface and speculated that the heavenly objects were in fact of the same order as the earthly ones.

These were important discoveries but still very far from proofs. Galileo had become a strident advocate of Copernican theory. Unfortunately this confidence in his ideas was to bring the Church authorities against Galileo and trigger possibly the most famous confrontation of science and faith in history.

And Yet It Moves: Part I
And Yet It Moves: Part II
And Yet It Moves: Part III
And Yet It Moves: Part IV