"separate and integrate" or "Orangutang method"

The Chaz · August 5th, 2011, 09:15 PM

My friend asked me to solve these (something about planetary motion or something...), but I'm too tired.
Anyone care to take a crack at it?
Cheers.

(p.s. The "Orangutang Method" is something I heard on MSE to refer to licentious use of "integration by separation")

The Chaz · August 5th, 2011, 10:03 PM

Just got word that the second one (dr/dt) has an error... the right hand side is inverted.

So we should have

$\frac{dr}{dt}= \sqrt{F - \frac{k^2}{r^2} + \frac{2c}{r}}$

This one doesn't seem that bad.
(Well, it looks like some in my tables...)

August 5th, 2011, 10:03 PM	#2
The Chaz Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4	Re: "separate and integrate" or "Orangutang method" Just got word that the second one (dr/dt) has an error... the right hand side is inverted. So we should have $\frac{dr}{dt}= \sqrt{F - \frac{k^2}{r^2} + \frac{2c}{r}}$ This one doesn't seem that bad. (Well, it looks like some in my tables...)
$The Chaz is offline$

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