Monday, January 10, 2011

Joseph Lagrange Biography (Quarter 2)


Joseph Lagrange was born on January 25, 1736 in the city of Turin (located in northern Italy) to an extremely wealthy family. Brought up with the best education available, Lagrange began to find a massive interest in mathematics, primarily influenced by the works of Edmund Halley. Determining to go into a life a math and sciences at the age of seventeen, Lagrange managed to turn himself into a formidable mathematician in only a year, and was soon teaching classes at nearby schools.
            By 1754 Lagrange was delving into advanced mathematics, and began making contact with mathematician Leonhard Euler. Both Euler and Lagrange made significant discoveries in variational calculus within close proximity of each other, and even had a dispute over who discovered it first. These discoveries ultimately culminated in Lagrange’s establishment of the Turin Academy of Sciences, in which at the age of only twenty-two Lagrange began critiquing Newton’s mathematics, recording his discoveries in variational calculus, and wrote volumes on new areas of mathematics and science.
            In 1766, after years of being in contact with King Frederick of Prussia, Joseph Lagrange was finally convinced to spend his next twenty years of life being Prussia’s resident mathematician. Frederick won Lagrange over by calling him the “greatest mathematician in Europe”. Lagrange spent his time in Prussia working as hard as he ever had. Every day Lagrange set himself a goal, and would spend nearly every hour he was awake writing about various subject matters pertaining to mathematics. During this time Lagrange also made some of his most notable discoveries in the area of astronomy. Lagrange was an astronomy theorist however, unlike an observational astronomer he made no discoveries in viewing the heavens. Instead his discoveries were made with the mathematical laws that govern the universe. Lagrange discovered a significant amount on the orbits of planets and comets, and why they behave the way they do. His ability to calculate the perturbations of comets and development of formulas for these perturbations has been the framework for future work on the topic. While making these discoveries, Lagrange worked himself to a point close to nervous breakdowns, and soon learned the importance of pacing himself, in order to avoid going completely insane. The death of his first wife didn’t help either, and his stay in Prussia was becoming increasingly stressful.
            King Frederick died in 1786, and Lagrange saw this as an excellent opportunity to get out of Prussia, which he found to be an extremely stressful environment. This time the king of France, Louis XVI, wanted him. Lagrange’s contribution to the study of astronomy during this tame came in three papers he wrote on the methods of interpolation, which is a method of determining the value of a point based on the values of other points around it. Unfortunately, shortly after Lagrange came to France revolution began to stir up and Lagrange’s comfortable work for Louis XVI was short lived. Although Lagrange constantly feared violence from the revolution, no individual actually wanted him dead, and no threats were made against him.  In fact, Lagrange was mostly rewarded for his continued service, becoming a member of the French Academy of Sciences, and was appointed a professor at one of the French Universities. As Lagrange delved into old age, he was praised as one of the greatest mathematicians of all time, being rewarded constantly for his work by the French and Italian government. Joseph Lagrange died in Paris, France in 1813, working on revisions to his mathematical formulas up until the day he died.
            Lagrange’s influence on the world was massive, primarily in the areas of mathematics which delved significantly into astronomy. While not necessarily planning on creating mathematical formulas for the study of the universe, Lagrange’s formulas ultimately became very useful in various areas of astronomy, such as the orbits of objects and their locations. Ultimately, Lagrange was a mathematical genius, on par with Euler, Halley, and even Newton. In fact, Lagrange even found some fundamental flaws with some of Newton’s formulas, and worked tirelessly to perfect them, along with his own work. Lagrange’s achievements are massive, and have been expanded on throughout the past centuries to help expand the human understanding of the universe.

Friday, January 7, 2011

APOD 2.7

See Explanation.  Clicking on the picture will download
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The picture "Eclipsing the Sun", shown above, is a fascinating photo capturing many interesting objects all in one frame. First off is the lunar eclipse occurring, in which the shadow of the massive dark moon is slowly encroaching on the sun. Then, just above the moon fly's by the International Space Station, which stayed in front of the sun for only a second. The picture had to be lined up and shot within that one second time frame, and the photographer managed to snap it perfectly as the ISS was centered. In addition to these fascinating celestial objects lining up are the presence of massive sunspots, which can be seen clearly in the photo.

Thursday, January 6, 2011

Astronomer Sources Quarter 2: Joseph Lagrange

Print Sources:

The Complete Dictionary of Scientific Biography, Vol. 5. Detroit: Charles Scribner's Sons, 2008. Pages 559-573

Web Sources:

http://www.gap-system.org/~history/Biographies/Lagrange.html

http://www.maths.tcd.ie/pub/HistMath/People/Lagrange/RouseBall/RB_Lagrange.html

http://scienceworld.wolfram.com/biography/Lagrange.html 

Tuesday, December 28, 2010

Lunar Eclipse Observation

I observed the Lunar Eclipse from about 2:30 A.M to 2:50. What I saw was basically the finally corner of the moon disappearing, and the entire moon turning into a blood red color. The entire process of the lunar eclipse takes hours, and what I saw was essentially the peak of the eclipse, when the Earth blocks all of the sun's light from reaching the moon. It took me a while to find the moon in the night sky when I woke up to look for it, as it was way darker than it normally is, and blends in far better with the nighttime sky.

Sunday, December 12, 2010

APOD 2.6

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 the highest resolution version available.
The Mars rover Opportunity has managed to take this fascinating photo of Intrepid Crater on Mars. The crater shows a interesting scar across a landscape of just sand dunes. In the distance giant mountains can be seen, but extremely far away. Like any image of the landscape of Mars, this photo is fascinating because it shows a whole different world from Earth. The planet has its similarities (like a desert and mountains), but also incredible differences (like the composition of the sand dunes, and the fact that craters can stay intact for thousands of years). If a crater like that had been formed in the Sierra, desert winds most likely would have covered it up quickly. This crater remains completely intact however, and an interesting find by the rover Opportunity.

Saturday, December 4, 2010

Obervation 12/4/10

Over the last two days I have been observing Venus in relation to the moon in the morning at around 6:45 AM. The sun is rising at this time, but the two objects are still very clear and easy to see, exhibiting their incredible brightness. On Thursday Venus was only about 6 degrees to the left of the moon, and the two so close together was a beautiful sight. The moon was in a crescent phase, and under binoculars I could see that Venus was crescent as well (as it always is). The next day Venus had risen so that it was about 18 degrees away from the moon.

APOD 2.5

See Explanation.  Clicking on the picture will download
 the highest resolution version available.
In the photo "Martian Moon Phobos from Mars Express", spacecraft Mars Express took a mesmerizing photo of the Martian moon Phobos, the largest of Mars' two moons. Mars' moons are minuscule in comparison to all other planets' moons, and are believed to be just asteroids from the asteroid belt being caught in Mars' gravitational pull. What I found most interesting about the moon Phobos is that its orbit is continuously decaying, which means that in a matter of time the moon will actually be ripped apart by Mars. My question is, would this result in a ring system around Mars? Saturn's rings are hypothesized to have been created the same way, as disintegrating moons continued their orbits around their planet. A Mars with rings would definitely be an interesting sight. Ultimately, this photo of Phobos is extremely interesting, providing insight on one of Mars' two moons.