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Re: ODE's again (sorry)
- From: "Sam Halliday" <plendily at hotmail dot com>
- To: gsl-discuss at sources dot redhat dot com
- Date: Tue, 05 Mar 2002 18:47:51 +0000
- Subject: Re: ODE's again (sorry)
- Bcc:
i thank you for your comments
yes the equation of motion is incorrect, but this is only because i have
trimmed it down to the bare essentials for posting, the problem is however
in units, not in dimensions, it is a very simple 3 dimensional orbits
calculation.... i have the euler approach workign perfectly as it should,
although requires a small step size and is unstable at large age
projections.
i am not very familiar with the algorithms available to me except euler and
runge-kutta, i felt runge-kutta was appropriate since i am solving 3 2nd
order equations and require to conserve the energy of the system, but you
are right this is essentially a 6 first order equation problem and im sure
it can be solved in a much better way, but my reason for posting was not so
much to ask for numerical advice... but instead check if this was a possible
bug in the RK algorithm, which i believe it is... as my method (no matter
how inefficient) should work.
i dont have a clue how to set this RK up in 6 dimensions, the whole jacobian
declaration was quite confusing, i never heard of a need for a jacobian and
yet this algorithm needs it.
Sam
---
If you wish to be happy for one hour, get drunk.
If you wish to be happy for three days, get married.
If you wish to be happy for a month, kill your pig and eat it.
If you wish to be happy forever, learn to fish.
-- Chinese Proverb
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