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Problem 109 Easy Difficulty

Based on observations made during the 1996 sighting of comet Hyakutake, it was concluded that the trajectory of the comet is a highly elongated ellipse for which the eccentricity is approximately $\mathrm{e}=0.999887 .$ Knowing that for the 1996 sighting the minimum distance between the comet and the sun was $0.230 R_{E}$, where $R_{E}$ is the mean distance from the sun to the earth, determine the periodic time of the comet.

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03:28
Newton's Laws - Intro

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.
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09:37
Newton's Laws Basics - Overview

Isaac Newton (4 January 1643 – 31 March 1727) was an English mathematician, physicist, astronomer, theologian, and author (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time and a key figure in the scientific revolution. His book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), first published in 1687, laid the foundations of classical mechanics. Newton also made seminal contributions to optics, and he shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus.
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Video Transcript

the agreement it is given that based on off the vision made during 1996 siphoning off comet they are good. Okay? It waas characteristics that predict the off The committee is highly elongated lips for with a centrist city is approximately What light light 807 Doing that for 1996 Tightening the minimum distance in the comet and the sun are not 22 3 zero r e There are either being distanced From the sun to garden We have to calculate the temperate What earth orbit around percent be not is root off g m r e on the computer is who fight our feet apart We not so can you may right or deacon? Right Root off gm is Porto to fight are a hold the power three by two upon the not for the homage gone upon are not g m over at the square one plus a sentence City this is our one and our one is called is Goto How are not plus urban and and it's called toe so I can put it up. Comet is given right by a V upon H right After simplification he can be read alleged comparing with equation barren tree you can look at it are not by r E to the power three by two a century city to the power bi by two and took the not that produce. The value are not by our is given 0.230 A centrist city is given and can trade off US revolution in 20 years. So time period off revelation off the committees. That's all for it. Thanks for watching it.

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Video Thumbnail

03:28
Newton's Laws - Intro

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.
Video Thumbnail

09:37
Newton's Laws Basics - Overview

Isaac Newton (4 January 1643 – 31 March 1727) was an English mathematician, physicist, astronomer, theologian, and author (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time and a key figure in the scientific revolution. His book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), first published in 1687, laid the foundations of classical mechanics. Newton also made seminal contributions to optics, and he shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus.
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