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Article #90Re: Math software for a mathematical pendulum of length L and mass m
From: Michael Page
Date: Wed, 22 Jul 1992 14:18
Date: Wed, 22 Jul 1992 14:18
24 lines
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1477 bytes
In article <lexier.711772340@sfu.ca> lexier@fraser.sfu.ca (Lyle Lexier) writes:
>
> Is there any software for calculating the differential equation:
>
> g
> fi = - - sin (fi)
> tt L
First, it's phi not fi. Second, this can be integrated by multiplying
both sides by phi_t, then I recall that the solution is expressible in
terms of elliptic functions. Even without this it is pretty trivial to
integrate this numerically with 4th-order Runge Kutta for a pair of
first-order o.d.e.s
X_t = -g/L sin (Y) and Y_t = X.
My second-year students could do it.
--
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Michael Page, Maths Dept, Monash University, Clayton, Victoria, AUSTRALIA 3168
email: map@hal.maths.monash.edu.au phone: +61 3 565 4486 FAX: +61 3 565 4403
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Newsgroups: sci.math.num-analysis Path: arc1-ca.pugleaf.net!sparky!uunet!munnari.oz.au!bruce.cs.monash.edu.au!monu6!hal!map From: map@hal.maths.monash.edu.au (Michael Page) Subject: Re: Math software for a mathematical pendulum of length L and mass m Message-ID: <1992Jul22.141833.6229@monu6.cc.monash.edu.au> Sender: news@monu6.cc.monash.edu.au (Usenet system) Organization: Mathematics Department, Monash University, Australia References: <lexier.711772340@sfu.ca> Date: Wed, 22 Jul 1992 14:18:33 GMT Lines: 24