Re: [ODE] ODE BUG

kalikali at tlen.pl kalikali at tlen.pl
Fri Oct 21 10:52:05 MST 2005


To Andrew

Yes, of course s(t) = s0 + t*v0 + 0.5*a*t*t is correct
I forgot t^2. My mistake
But i've made mistake only in my post text.
The problem i've raise is actual.




---- Wiadomość Oryginalna ----
Od: Andrew Aye <AndrewA at terminalreality.com>
Do: ode at q12.org
Data: Thu, 20 Oct 2005 16:13:00 -0500
Temat: RE: [ODE] ODE BUG

> 
> I believe the following is true <shrug> IMHO
> 
>  acceleration = a
>  velocity is the time integral of acceleration or v(t) = v0 + t*a
>  position is the time integral of velocity or s(t) = s0 + t*v0 + 0.5*a*t*t
> 
> So to be precise, neither of the equations as listed are correct
> 
>  However, even though its slightly incorrect the way ODE does it is:
> 
>  Calculate:
> 	v1 = v0 + at ( or in their case v1 = v0 + (inverse Mass) * (Force) *
> t )
> 	s1 = s0 + t(v1)
> 
> As you can see this will slightly overestimate the integration process.
> 
> 

> 



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