Comments on: The Numbers Game https://briankoberlein.com/2015/04/26/the-numbers-game/ Brian Koberlein Thu, 21 Feb 2019 15:22:39 +0000 hourly 1 https://wordpress.org/?v=5.0.3 By: Brian Koberlein https://briankoberlein.com/2015/04/26/the-numbers-game/#comment-2293 Wed, 29 Apr 2015 15:53:31 +0000 https://briankoberlein.com/?p=4738#comment-2293 Angular momentum density.

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By: tony https://briankoberlein.com/2015/04/26/the-numbers-game/#comment-2292 Wed, 29 Apr 2015 15:50:38 +0000 https://briankoberlein.com/?p=4738#comment-2292 F(r) = -GM/r^2
I assume F is force, but don’t you need m as well. This gives units of acceleration.
F(r) =-GM/r^2 -3GMh^2/(c^2 r^4)
What is h?
Thanks!

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By: Brian Koberlein https://briankoberlein.com/2015/04/26/the-numbers-game/#comment-2278 Mon, 27 Apr 2015 14:57:50 +0000 https://briankoberlein.com/?p=4738#comment-2278 You’ll like this article then.

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By: ziggurism https://briankoberlein.com/2015/04/26/the-numbers-game/#comment-2277 Mon, 27 Apr 2015 14:51:30 +0000 https://briankoberlein.com/?p=4738#comment-2277 It’s annoying to see this article which purports to explain to the layman the importance of mathematical models fall into the “this model is wrong” trap, when it says “Einstein was right, and Newton was wrong”. Einstein’s model and Newton’s model both have regimes where their predictions agree with experiment. They will both have regimes where they fail. Doesn’t make them “wrong”.

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By: Dr. Jogy George https://briankoberlein.com/2015/04/26/the-numbers-game/#comment-2276 Mon, 27 Apr 2015 12:00:32 +0000 https://briankoberlein.com/?p=4738#comment-2276 Excellent article. You could have added that as per Kepler model, T =2 Pi Sqrt[a^3/ mu], were T is the orbital period, a is the semi major axis, and mu is the the product GM. Taking Log on both sides, we have: Log[T] = A + 3/2 Log[a] , where A= Log[2 Pi]- 1/2 Log[GM]. Thus, Log[T] vs Log[a] has a slope of exactly 3/2.

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By: Amir https://briankoberlein.com/2015/04/26/the-numbers-game/#comment-2272 Sun, 26 Apr 2015 19:56:32 +0000 https://briankoberlein.com/?p=4738#comment-2272 A wonderful explanation of why precision matters in science. Thanks for writing this up!

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