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

December 27 - Happy Birthday, Johannes Kepler and Louis Pasteur

  Posted on December 27, 2021


This is an update of my post published on December 27, 2010:




Two giants of science were born on this day (251 years apart!).



On December 27, 1571, Johannes Kepler was born in Germany. His claim to gigantic-ness—he is even called the Father of Modern Astronomy!— is that he figured out that the planets travel in elliptical (oval-shaped) orbits rather than round orbits, and he figured out three major laws of planetary motion. Sir Isaac Newton's law of gravitation had their genesis in Kepler's laws. Kepler also suggested that the tides were caused by the attraction of the moon. All of that is pretty gigantic!





In 1822, Louis Pasteur was born in France.


Pasteur's claim to gigantic-ality—he is considered one of the founders of microbiology!—is that he discovered much about causes and preventions of diseases: he developed the first vaccine for rabies and anthrax, invented pasteurization of milk, and discovered the role of bacteria in fermentation and was therefore able to improve the manufacture of wine.



For more on Kepler's Three Laws, try Carl Sagan's “Cosmos”...

Here is a video on how one of Louis Pasteur's discoveries not only changed science, but also changed the public's knowledge of - and caring about - science!

Kwanzaa (from 12/26/11 to 1/1/12)





March 8 - Kepler's Third Law Makes Its First Debut

Posted on March 8, 2018

You probably know that even ancient peoples knew that the world was spherical, but almost everybody "knew" that we - the Earth, that is - were the center of the universe.

In the 3rd Century BCE, an Ancient Greek astronomer named Aristarchus of Samos suggested that the Earth revolves around the Sun. 





As early as 1514, a German/Polish astronomer named Nicolaus Copernicus began to write and talk about a Sun-centered universe, although he didn't publish his fully worked-out theory until 1543. 

It took a while before the idea was generally accepted - like, a century and a half!

But in all that 150-or-so years, all along the way, various scientists tweaked the model, made more and better observations, suggested alternative explanations for the data, and inched forward in a slow-motion "Copernican Revolution."


One of these contributors was Johannes Kepler. He took Copernicus's model of the solar system, which explained observations better than did earlier models, and he made a few brilliant adjustments, so that the new model explained observations even better!

Kepler's "adjustments" were in the form of three "laws of planetary motion." He published the first two in 1609. He discovered the third on this date in 1618, and he published it in 1619.

Let's check them out:

#1 - The orbit of every planet is an ellipse (basically, an oval) with the Sun as one of the focal points.

Actually, all of the planet's orbits are ALMOST
circular. So this picture is a big-time exaggeration,
making the oval / elliptical orbit look a lot longer
than it is wide.

This exaggeration also makes the Sun look like it is
far to one side instead of, in reality, being pretty
darned close to the center!

We have to exaggerate in these sorts of diagrams,
or everybody would just say, "Oh! The orbit's a circle,
and the Sun is in the center!"

#2 - If there were a line that connected a planet to the Sun (rather like the "hand" of a clock), it would sweep out equal areas during equal intervals of time. This is because the planet moves slower when it is farther from the Sun and quicker when it is closer.



#3 - The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of the orbit.

Wh- wh- what?

This is a mathematical statement about the relationship between the distance of planets from the Sun and their orbital periods.

Remember, the closer something is to the Sun, the faster it moves. This is because the gravitational pull of the Sun is much stronger on nearby objects.

So not only does a far-away planet like Uranus have to travel a LOT farther to go aaaallllllll the way around the Sun than, say, Earth, it also travels more slowly. You can see how much longer it takes the far-away planets to travel once around the Sun in this chart:


Actually, this chart uses rounded-off measurements

of the years of the planets. To see a more accurate
list, check out this website.

By the way, if you are wondering what the semi-major axis of an orbit is, here is one more exaggerated diagram:



The major axis of an ellipse is a straight line that goes through
the widest part of the ellipse, traveling through both foci.
The semi-major axis is exactly half of that line.

Also on this date:









International Women's Day







Nametag Day

(Thursday of the first full week of March)


Girls Write Now Day











Fiesta of San Juan de Dios



 

Plan ahead:




Check out my Pinterest boards for:

And here are my Pinterest boards for:

December 14 – Happy Birthday, Tycho Brahe

Posted on December 14, 2014


Today we celebrate one of the biggest of Europe's early astronomers: Tycho Brahe.

This drawing shows Ptolemy's
 theory of a geocentric
(Earth-centered) universe.
A long time ago some very intelligent, learned, and wise men in Ancient Greece thought long and hard about a lot of things, and they decided that the heavens – the stuff we see in the sky – was perfect and unchanging. Everything in the skies seemed to move in regular rhythms, and they shone with perfect, unblemished light, and things stayed the same year after year, century after century. The perfect, unchanging heavens became a part of the Greeks' philosophy about the universe.

Another thing that was self-evident as these learned men looked upwards: everything circled us! We Earthlings were the center of it all! The Moon and Sun clearly circled the Earth, as did the stars. The planets had more complicated motions – with a little bit of backwards action interrupting their progression across our skies – but they also basically traveled around our world.

This is a modern diagram of Ptolemy's
system. Note that the Sun and Moon
and the sphere of stars simply orbit
around the Earth...but those pesky planets
with their back-and-forward motion must
be doing cycles in their cycle, Ptolemy thought. 

But the Scientific Revolution upset all of these notions:

In the 1540s, Nicolaus Copernicus published his theory that the Earth was NOT the center of the universe. His theory was that the Earth and other planets traveled around the Sun – although he kept those perfect circular orbits thought up by the Greeks.

This was SO not cool with people – after all, we liked being the center of things!





In 1609, Johann Kepler published his theory that the Earth and other planets actually traveled around the Sun in non-perfect oval orbits.

Non-perfect orbits?!? What's the universe coming to?




The next year, Galileo Galilei published his findings from studying the universe with his newly built telescope. He had discovered four tiny lights that clearly revolved around the planet Jupiter. This was proof that Copernicus was right, at least in the idea that not EVERYTHING in the universe revolved around us! And Galileo argued that Copernicus was right about the big idea of the Earth circling the Sun, rather than vice versa, as well.


Still not cool with most people! Galileo was put under house arrest.


Sandwiched between Copernicus, on the one hand, and Kepler and Galileo, on the other, was today's birthday, Tycho Brahe. His big contribution to tearing down the Greeks' perfect heavens was proving that the heavens were not unchanging.

One of the supernovas
that Tycho observed was
one that appeared in 1572.
Brahe (who was born on this date in 1546) carefully observed a number of “new stars,” called stellae novae – now called novas and supernovas. Because of that “the heavens can't change” rule, people thought that new stars in the sky were local phenomena, found in Earth's atmosphere, or at least closer to Earth than the Moon. But Brahe knew that, if the new stars were that close, they should appear to be in slightly different spots in the sky, compared to the distant “fixed stars,” when seen from different observers positioned many miles away from one another. This parallax didn't occur, however, thus proving that the stars were, in fact, much farther away from the Earth than the Moon – that they were, in fact, part of the heavens.

And, voila, Tycho had proved that the heavens could change!

By the way, Tycho did not think that Copernicus was right about the Earth traveling around the Sun. He didn't go along with the Ancient Greek idea of everything circling the Earth, either – instead, he came up with his own system:

  • The other planets circled the Sun.
  • The Sun and the Moon circled the Earth.
  • The “fixed stars” circled everything.

You may be wondering why Tycho didn't agree with Copernicus. He had two important arguments: 

1) the Earth was too sluggish and heavy to be continuously in motion, and
2) the Earth's orbit around the Sun, if it existed, would cause stellar parallax.

(Actually, there IS stellar parallax – the Sun, planets, and nearby stars can be seen to be in slightly different positions, compared to farther away stars, when the Earth is on opposite sides of its orbit. But the angles are very small and difficult to measure. Tycho knew that the apparent lack of parallax wouldn't be a problem if there was an enormous gap between the outermost planet – which at the time was Saturn – and the stars. But such an enormous gap seemed ridiculous to Tycho and other scientists.)

About that enormous gap...


Tycho Brahe thought an enormous gap between Saturn and the rest of the farther-off universe (stars and such) was ridiculous. But that enormous gap is true!

Saturn is only hundreds of millions of miles away from Earth, but even the nearest stars are TRILLIONS of miles away!

And just one trillion is a million millions! So think about how far many trillions of miles are!

To give you just a bit more perspective on how much a trillion is, think of it this way:

Count one second. It's about as long as it takes you to say “A thousand one.”

Now consider this: The United States has not yet existed for a trillion seconds! As a matter of fact, almost nothing in your history books had happened yet, a trillion seconds ago! Not Tycho Brahe's birth, not the Ancient Greeks, not even the Ancient Egyptians!

As a matter of fact, a trillion seconds ago is about 31 THOUSAND years ago, and humans were just figuring out how to fire pottery and inventing the bow and arrow!




To learn more about Tycho Brahe, check out this earlier post.



Also on this date:


Arrival of the Yule Lads in Iceland









































Plan ahead:

Check out my Pinterest pages on:
And here are my Pinterest boards for: