We conclude our study by proving, with mathematical rigour as always, Kepler's Third Law - the square of the period of a planet moving around its elliptical orbit is proportional to the cube of its semimajor axis of that orbit. Check out www.gaussianmath.com for an indepth study or more calculus related content.
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We shall prove Kepler's First Law: A planet revolves in an elliptical orbit with the sun at one of its focus. This simple looking law actually turns out to be the hardest one to derive.
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Keplers Laws - Preliminaries pt1
Before we prove Kepler's Laws, we need to formulate some preliminaries namely setting up the coordinate axis. Check out www.gaussianmath.com for a more indepth explanation and more calculus-related content.
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Oregon Television
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Nicolaus Copernicus founder of Heliocentric Cosmology
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15 February 1564 -- 8 January 1642 was a Tuscan (Italian) physicist, mathematician, astronomer, and philosopher who played a major role in the scientific revolution. His achievements include the first systematic studies of uniformly accelerated motion, improvements to the telescope and consequent astronomical observations, and support for Copernicanism. Galileo's empirical work was a significant break from the abstract Aristotelian approach of his time. Galileo has been called the "father of modern observational astronomy", the "father of modern physics", the "father of science", and "the Father of Modern Science." The motion of uniformly accelerated objects, taught in nearly all high school and introductory college physics courses, was studied by Galileo as the subject of kinematics. His contributions to observational astronomy include the discovery of the four largest satellites of Jupiter, named the Galilean moons in his honour, and the observation and analysis of sunspots. Galileo also worked in applied science and technology, improving compass design. Galileo's championing of Copernicanism was controversial within his lifetime. The geocentric view had been dominant since the time of Aristotle, and the controversy engendered by Galileo's opposition to this view resulted in the Catholic Church's prohibiting the advocacy of heliocentrism as potentially factual, because that theory had no decisive proof and was contrary to the literal meaning of Scripture. Galileo was eventually forced to recant his heliocentrism and spent the last years of his life under house arrest on orders of the Inquisition.
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Carl Sagan reads from Pale Blue Dot - Galileo
Galileo Galilei (15 February 1564 -- 8 January 1642) was an Italian physicist, mathematician, astronomer, and philosopher who is closely associated with the scientific revolution. His achievements include the first systematic studies of uniformly accelerated motion, improvements to the telescope, a variety of astronomical observations, and support for Copernicanism. Galileo's experiment-based work is a significant break from the abstract approach of Aristotle. Galileo is often referred to as the "father of modern astronomy", as the "father of modern physics", and as the "father of science". The motion of uniformly accelerated objects, treated in nearly all high school and introductory college physics courses, was studied by Galileo as the subject of kinematics.
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