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Kepler's Third Law

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Uploaded by on Sep 4, 2007

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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Uploader Comments (donylee)

  • do you teach advanced mathematics to some students?

  • No, if you referring to anything after multivariable calculus or linear algebra.

    I'm still in my undergraduate years. I do keenly help those who have problems with various questions but I have yet to reach that level where I can confidently teach the more advance topics. Say year 3 and 4 stuff.

  • i thought the 3rd law was k=r^3/D^2

  • That is another way of saying the same thing too. What is your D though? It should be the period, which is usually denoted by T.

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  • Remarkable, I am deeply grateful for such a simple and comprehend explanation. I watched your all lectures, you are really doing good.

  • Thank you. This really helped me with my physics homework and helped me to understand what my teacher attempts to teach my class. Thanks again!

  • Kepler wrote the Law in Latin:

    ".....the ratio of the periodic times is the ratio of the 1½ power of the distance from the Sun."

    ".....he ratio which exists between the periodic times of any two planets is precisely the ratio of the 1½ power of the mean distances."

  • :) very good video

  • Where does your begin Formula comes from?

    What the meaning of your h and k in the begin?

  • Kepler's Third LawecellipticalorbiToWerH

    The Southern Crosski-waterwineTPearlH

    Get with the programdonyleeKnicTONEO

    The Southern Crosski-waterwineTPearlH

    Kepler's Third LawecellipticalorbiToWerH

    1:21 3:23 5:45 13:13 mathematicallySpek

  • great job man. the way you explained that, you could have basic algebra skills and still grasp it. thanks man. keep it up. we need more people like you.

  • i couldnt have been more polite on stating a fucking FACT

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