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3 Sep 2024 17:17:16 EDT (-0400)
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From: Le Forgeron
Subject: Re: Numerical approximation of the gravity of a torus
Date: 8 Mar 2011 11:13:53
Message: <4d7655c1$1@news.povray.org>
Le 08/03/2011 16:48, Alain a écrit :
> Gravity is highest at the exterior equator and null at the interior
> equator.

I would question that second part for a demonstration.

Null at the center, ok.
Highest on the exterior equator, ok.
But null at the interior equator, it might depend on major & minor radius.


-- 
Software is like dirt - it costs time and money to change it and move it
around.

Just because you can't see it, it doesn't weigh anything,
and you can't drill a hole in it and stick a rivet into it doesn't mean
it's free.


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From: Alain
Subject: Re: Numerical approximation of the gravity of a torus
Date: 10 Mar 2011 13:59:28
Message: <4d791f90$1@news.povray.org>
Le 2011/03/08 11:13, Le_Forgeron a écrit :
> Le 08/03/2011 16:48, Alain a écrit :
>> Gravity is highest at the exterior equator and null at the interior
>> equator.
>
> I would question that second part for a demonstration.
>
> Null at the center, ok.
> Highest on the exterior equator, ok.
> But null at the interior equator, it might depend on major&  minor radius.
>
>

At the interior equator, and anywhere on the disk it define, the gravity 
is null. The mass under you is closer, but the mass over you is larger.

But, you will not notice that as the planet is spining on itself: the 
centrifugal force will keep you on the ground. It will also somewat 
offset the gravity bias.



Alain


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From: Kevin Wampler
Subject: Re: Numerical approximation of the gravity of a torus
Date: 10 Mar 2011 14:56:54
Message: <4d792d06$1@news.povray.org>
On 3/10/2011 10:59 AM, Alain wrote:
> At the interior equator, and anywhere on the disk it define, the gravity
> is null. The mass under you is closer, but the mass over you is larger.

And just how did you determine that these two factors exactly cancel out 
at the interior equator?


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From: Warp
Subject: Re: Numerical approximation of the gravity of a torus
Date: 11 Mar 2011 12:04:30
Message: <4d7a561d@news.povray.org>
Alain <aze### [at] qwertyorg> wrote:
> At the interior equator, and anywhere on the disk it define, the gravity 
> is null. The mass under you is closer, but the mass over you is larger.

  Can you actually prove that?

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                                                          - Warp


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