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From: Marc Jacquier
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 02:28:59
Message: <434dfeab$1@news.povray.org>

news:434da298$1@news.povray.org...
> Why is there no gravity?  If you take a sun-sized star and build a
> sphere of Earths around it at 1 AU (dunno where you'd get that many
> Earths), does the now hollow sphere not have gravity on either its
> inside or outside surface?
>
> -- 
> Tim Cook
> http://home.bellsouth.net/p/PWP-empyrean
>
Yes finding so much matter should be a problem but Alain is still right:
what could prevent other parts than equator falling in the star.

Marc


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From: Karl Anders
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 03:00:01
Message: <web.434e05b34ff5b9987d39e9c30@news.povray.org>
"Anthony D. Baye" <Sha### [at] hotmailcom> wrote:
> Mike Williams wrote:
> > Apart from the absence of the plasma tube, I'd say it was Thistledown.
> >
> > Where does your hollow asteroid get its light from?
> >
> Wow.  Someone else reads what I read.
>
> A.D.B.
>
> P.S. Alain,  Gravity is based on mass.  A sphere the size of earth's
> orbit with a shell thick enough to withstand impacts would naturally
> have a reasonable amount of gravity on it's inside surface.

Sorry Anthony,
but Alain is right. Inside a sphere there is no gravity from the sphere -
ask any physics guy ( me, eg ;-) ); at least if the sphere is homogeneuos
(spelling?). While Your statement definitely sounds convincing, this is one
of the few cases proving common sense can go wrong without dealing with
quantum mechanics ...

Happy Raytracing to all

Karl


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From: Mike Williams
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 03:06:04
Message: <YX1VKAAnZgTDFwNB@econym.demon.co.uk>
Wasn't it Tim Cook who wrote:
>Alain wrote:
>> I have a BIG problem with Dyson spheres! Inside an hollow sphere, there 
>> is NO gravity, if the sphere is built around a star, everything not held 
>> in place will fall in the star. If you make it spin, all the air will 
>> collect at the equator, untill the sphere collapses unto itself. The 
>> equatorial part goes flying away and the poles plunging into the star.
>
>Why is there no gravity?  If you take a sun-sized star and build a 
>sphere of Earths around it at 1 AU (dunno where you'd get that many 
>Earths), does the now hollow sphere not have gravity on either its 
>inside or outside surface?

There's gravity on the outside, but not on the inside. It just so
happens that the strong contributions from the small regions under your
feet are exactly cancelled out by the weaker contributions from the much
larger regions over your head. I don't think there's any simple way to
demonstrate that, you have to calculate the integral like Newton did.

-- 
Mike Williams
Gentleman of Leisure


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From: Rick Measham
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 04:07:58
Message: <434e15de$1@news.povray.org>
Alain wrote:
>>>I have a BIG problem with Dyson spheres! Inside an hollow sphere, there 
>>>is NO gravity, if the sphere is built around a star, everything not held 
>>>in place will fall in the star. If you make it spin, all the air will 
>>>collect at the equator, untill the sphere collapses unto itself. The 
>>>equatorial part goes flying away and the poles plunging into the star.

Wasn't it Tim Cook who wrote:
>>Why is there no gravity?  If you take a sun-sized star and build a 
>>sphere of Earths around it at 1 AU (dunno where you'd get that many 
>>Earths), does the now hollow sphere not have gravity on either its 
>>inside or outside surface?

Mike Williams wrote:
> There's gravity on the outside, but not on the inside. It just so
> happens that the strong contributions from the small regions under your
> feet are exactly cancelled out by the weaker contributions from the much
> larger regions over your head. I don't think there's any simple way to
> demonstrate that, you have to calculate the integral like Newton did.

There's a good lot of discussion on Wikipedia. Search for Dyson Sphere 
and then go to the discussion page (tab at the top). Talks about the 
calculations et. al.

There'd be neutral gravity on the inside, but if you spin the sphere 
fast enough, then momentum-in-a-circular-restriction (aka centrifical 
force) will stick you to the sphere. Something like 32km/s (or 320 .. 
it's been a while) for a 1AU sphere.

(And the gravity on the outside would be horrendous, the gases from the 
sun would kill you, there's not enough matter to make it .. yada yada .. 
great concept for SciFi, and ray tracing, but not real life!)

Cheers!
Rick Measham


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From: Mike Williams
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 05:44:34
Message: <q1S5yNA5oiTDFwIT@econym.demon.co.uk>
Wasn't it Rick Measham who wrote:
>
>There'd be neutral gravity on the inside, but if you spin the sphere 
>fast enough, then momentum-in-a-circular-restriction (aka centrifical 
>force) will stick you to the sphere. Something like 32km/s (or 320 .. 
>it's been a while) for a 1AU sphere.

But only the people standing on the equator would get vertical gravity
at full strength.

The strength of the force varies with cos(latitude) and the angle to the
local vertical is proportional to latitude. So people standing near the
poles get very little force, and what force there is would be almost
horizontal.


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From: Rick Measham
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 07:02:34
Message: <434e3eca@news.povray.org>
Mike Williams wrote:
> The strength of the force varies with cos(latitude) and the angle to the
> local vertical is proportional to latitude. So people standing near the
> poles get very little force, and what force there is would be almost
> horizontal.

Which is where the original argument came from (and I agree) .. the 
poles would implode, thus degrading the structure and causing the 
equator to explode.

One poster (somewhere, not here) suggested a band rather than a sphere. 
The 'band' would be the equatorial region and would (somehow) hold 
together as it spun.


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From: Alain
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 11:33:08
Message: <434e7e34$1@news.povray.org>
Anthony D. Baye nous apporta ses lumieres en ce 2005-10-12 20:50:
> Mike Williams wrote:
> 
>> Apart from the absence of the plasma tube, I'd say it was Thistledown.
>>
>> Where does your hollow asteroid get its light from?
>>
> Wow.  Someone else reads what I read.
> 
> A.D.B.
> 
> P.S. Alain,  Gravity is based on mass.  A sphere the size of earth's 
> orbit with a shell thick enough to withstand impacts would naturally 
> have a reasonable amount of gravity on it's inside surface.

The gravitational pull from the relatively small but very near region under your feet
is exactly 
countered by that of the extremely large and distant part over your head.
That leave you with ONLY the gravity from the sun witch is straight up... NOT a good
thing.

-- 
Alain
-------------------------------------------------
'hAS ANYONE SEEN MY cAPSLOCK KEY?'


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From: Jörg 'Yadgar' Bleimann
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 12:40:56
Message: <434e8e18$1@news.povray.org>
Karl Anders wrote:
> at least if the sphere is homogeneuos
<English swot>
Homogenuous!
</English swot>

See you in Khyberspace!

Yadgar

Now playing: Starship Trooper (Yes)


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From: Anthony D  Baye
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 13:51:22
Message: <434e9e9a$1@news.povray.org>
Alain wrote:
> Anthony D. Baye nous apporta ses lumieres en ce 2005-10-12 20:50:
> 
>> Mike Williams wrote:
>>
>>> Apart from the absence of the plasma tube, I'd say it was Thistledown.
>>>
>>> Where does your hollow asteroid get its light from?
>>>
>> Wow.  Someone else reads what I read.
>>
>> A.D.B.
>>
>> P.S. Alain,  Gravity is based on mass.  A sphere the size of earth's 
>> orbit with a shell thick enough to withstand impacts would naturally 
>> have a reasonable amount of gravity on it's inside surface.
> 
> 
> The gravitational pull from the relatively small but very near region 
> under your feet is exactly countered by that of the extremely large and 
> distant part over your head.
> That leave you with ONLY the gravity from the sun witch is straight 
> up... NOT a good thing.
> 
Far be it from me to dislike being proved wrong.

but an interesting factoid:  Larry Niven's Ringworld, which was 
conceived as an intermediate step toward a dyson sphere, spun at 770 
mi/h.  It was determined that, in order to withstand the shearing forces 
from the spin, the base material which measured 1000' thick would have 
had to have had a tensile strength on the order of the force which holds 
the nucleus of an atom together.

A.D.B.


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From: Tim Cook
Subject: Re: Can you tell what it is yet?
Date: 13 Oct 2005 13:54:03
Message: <434e9f3b$1@news.povray.org>
Alain wrote:
> The gravitational pull from the relatively small but very near region 
> under your feet is exactly countered by that of the extremely large and 
> distant part over your head.
> That leave you with ONLY the gravity from the sun witch is straight 
> up... NOT a good thing.

Let me get this straight.  If you put a hypothetical mass, say, ten 
times the mass of the earth, in an orbit exactly opposite the earth, the 
gravity under your feet will be countered by a certain amount by the 
extremely large and distant mass over your head?  In other words, to 
simplify things, without extra masses...you weigh less at noon?

-- 
Tim Cook
http://home.bellsouth.net/p/PWP-empyrean

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