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Dyson Statite!
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Symmetric Chaos
Fractal King

Gender: Male
Location: Ko-ro-ba

Dyson Statite!

Welcome to lets build a dyson sphere! In this episode we'll be using solar sails and counterweights.

As usual we build at 1AU away from the sun.

The counterweight masses 1000 metric tons. Newton's law of gravitation tells me that it will fall toward the star at 0.006m/s/s (6000N of force toward the star)[1]. Wikipedia tells me that a sail would require 700kg/N [2] so to get those 6000N requires 4.2million kg sail. Also from wikipedia I find that the material weighs 7g/m^2 and thus the sail has an area of 600million square meters.

A sphere with a radius of 1AU has an area of 2.8e23 square meters [3]. There is room for 460 trillion segments. In practice not all of these can be put in place because of the danger that they might interfere with each other or crash. Let's assume 300 trillion can be put in place.

Each segment has a mass of 5200 metric tons. The whole dyson masses 1.56e18 metric tons.

1-http://www.wolframalpha.com/input/? i=gravitation+constant+%28%282e30kg*1e6kg%29%2F%28
1.5e11m%29^2%29
2-http://en.wikipedia.org/wiki/Magnetic_sail
3-http://www.wolframalpha.com/input/?i=sphere+with+150000000000m+radius


Now here's my problem: I've always had the impression that to burealistic dyson swarms says that you would need to disassemble multiple planets to make it work. However this let's me block about 65% of the star's light and requires less than the mass of the moon to build.

Are my assumptions or math wrong somewhere?


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Old Post May 18th, 2010 01:33 AM
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dadudemon
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Re: Dyson Statite!

quote: (post)
Originally posted by Symmetric Chaos
Welcome to lets build a dyson sphere! In this episode we'll be using solar sails and counterweights.

As usual we build at 1AU away from the sun.

The counterweight masses 1000 metric tons. Newton's law of gravitation tells me that it will fall toward the star at 0.006m/s/s (6000N of force toward the star)[1]. Wikipedia tells me that a sail would require 700kg/N [2] so to get those 6000N requires 4.2million kg sail. Also from wikipedia I find that the material weighs 7g/m^2 and thus the sail has an area of 600million square meters.

A sphere with a radius of 1AU has an area of 2.8e23 square meters [3]. There is room for 460 trillion segments. In practice not all of these can be put in place because of the danger that they might interfere with each other or crash. Let's assume 300 trillion can be put in place.

Each segment has a mass of 5200 metric tons. The whole dyson masses 1.56e18 metric tons.

1-http://www.wolframalpha.com/input/? i=gravitation+constant+%28%282e30kg*1e6kg%29%2F%28
1.5e11m%29^2%29
2-http://en.wikipedia.org/wiki/Magnetic_sail
3-http://www.wolframalpha.com/input/?i=sphere+with+150000000000m+radius


Now here's my problem: I've always had the impression that to burealistic dyson swarms says that you would need to disassemble multiple planets to make it work. However this let's me block about 65% of the star's light and requires less than the mass of the moon to build.

Are my assumptions or math wrong somewhere?



I have not done any math on this, yet, but I was under the impression that a "feasible" statite "matrix" would require far less mass than the moon.

Also the statite proposal is supposed to account for that interference you spoke of because each would have its own propulsion system and counterweight, holding it at a static distance from the sun. That solves for the whole "moving" sun problem that the shell had.

And what were you referring to when you said "segments"? I am lost, there. Wouldn't it be closer to really really flat cylinders? Also, the statites would not interfere with one another as they could be "perfectly" suspended. There would still need to be maintenance, which is beyond our means, right now, and some way to avoid "intersteller" debris/objects.


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Old Post May 18th, 2010 02:41 AM
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Symmetric Chaos
Fractal King

Gender: Male
Location: Ko-ro-ba

quote: (post)
Originally posted by dadudemon
And what were you referring to when you said "segments"? I am lost, there.


I'm assuming that each piece of the shell is shaped like this:

. . . . . . . . . . . . . . . . . .|
888. . . . . . . . . . . . . . . |
888---------------------|
888. . . . . . . . . . . . . . . |
. . . . . . . . . . . . . . . . . .|

The weight falls toward the star while the sail is pushed away. You can alter the balance point by making the connecting wire longer or shorter.

quote: (post)
Originally posted by dadudemon
Also, the statites would not interfere with one another as they could be "perfectly" suspended.


But they still need to be far enough apart to avoid crashing. So maybe we can bump the number up to 400 trillion.

quote: (post)
Originally posted by dadudemon
There would still need to be maintenance, which is beyond our means, right now, and some way to avoid "intersteller" debris/objects.


I know, I've read Ringworld stick out tongue


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Old Post May 18th, 2010 02:58 AM
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BruceSkywalker
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this...

(please log in to view the image)

I will wait until the crew of the enterprise finds it once more


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Last edited by BruceSkywalker on May 18th, 2010 at 03:05 AM

Old Post May 18th, 2010 03:03 AM
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Symmetric Chaos
Fractal King

Gender: Male
Location: Ko-ro-ba

quote: (post)
Originally posted by BruceSkywalker
this...

(please log in to view the image)

I will will wait until the crew of the enterprise finds it once more


No, not that. Building a solid shell requires serious superscience and I'm trying to avoid that.


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Old Post May 18th, 2010 03:06 AM
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dadudemon
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quote: (post)
Originally posted by Symmetric Chaos
I'm assuming that each piece of the shell is shaped like this:

. . . . . . . . . . . . . . . . . .|
888. . . . . . . . . . . . . . . |
888---------------------|
888. . . . . . . . . . . . . . . |
. . . . . . . . . . . . . . . . . .|


The weight falls toward the star while the sail is pushed away. You can alter the balance point by making the connecting wire longer or shorter.



Peens?



Anyway...oh. I thought it was something else. Word disconnect because I call that 'ropey' thingie that "weight" is attached to, the "tether".





quote: (post)
Originally posted by Symmetric Chaos
But they still need to be far enough apart to avoid crashing. So maybe we can bump the number up to 400 trillion.


Well, the entire area would need quite a bit of space, but they could be packed in quite tightly and get much more than 65% "solar coverage".



quote: (post)
Originally posted by Symmetric Chaos
I know, I've read Ringworld stick out tongue


I have not. *googles* Looks interesting.


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Old Post May 18th, 2010 12:46 PM
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Ordo
Enforcer of the Republic

Gender: Male
Location: Kamino Boot Camp

Can we build a Dyson vacuum cleaner instead?


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Old Post May 18th, 2010 01:26 PM
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Bicnarok
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What´s the point of putting a vacuum cleaner in space, when black holes at CERN can do the jobsmile

Old Post May 18th, 2010 01:36 PM
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Mindship
Snap out of it.

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quote: (post)
Originally posted by Symmetric Chaos
Welcome to lets build a dyson sphere! In this episode we'll be using solar sails and counterweights.

As usual we build at 1AU away from the sun...

...Are my assumptions or math wrong somewhere?


So...been doodling much lately? What's the impetus? Drunken wager? Shot at full scholarship?

Question: if the mass of the moon gives you 65% coverage, why not cannibalize more mass (get some of the big asteroids, like Ceres) for more coverage? And to prevent collisions, why not anchor/stabilize all the collectors with nanotubes girders, (think giant Tinker Toy construct)?

Let me know if/when you get into starship design.


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Old Post May 18th, 2010 02:28 PM
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Shakyamunison
Nam Myoho Renge Kyo

Gender: Male
Location: Southern Oregon, Looking at you.

Re: Dyson Statite!

quote: (post)
Originally posted by Symmetric Chaos
Welcome to lets build a dyson sphere! In this episode we'll be using solar sails and counterweights.

As usual we build at 1AU away from the sun.

The counterweight masses 1000 metric tons. Newton's law of gravitation tells me that it will fall toward the star at 0.006m/s/s (6000N of force toward the star)[1]. Wikipedia tells me that a sail would require 700kg/N [2] so to get those 6000N requires 4.2million kg sail. Also from wikipedia I find that the material weighs 7g/m^2 and thus the sail has an area of 600million square meters.

A sphere with a radius of 1AU has an area of 2.8e23 square meters [3]. There is room for 460 trillion segments. In practice not all of these can be put in place because of the danger that they might interfere with each other or crash. Let's assume 300 trillion can be put in place.

Each segment has a mass of 5200 metric tons. The whole dyson masses 1.56e18 metric tons.

1-http://www.wolframalpha.com/input/? i=gravitation+constant+%28%282e30kg*1e6kg%29%2F%28
1.5e11m%29^2%29
2-http://en.wikipedia.org/wiki/Magnetic_sail
3-http://www.wolframalpha.com/input/?i=sphere+with+150000000000m+radius


Now here's my problem: I've always had the impression that to burealistic dyson swarms says that you would need to disassemble multiple planets to make it work. However this let's me block about 65% of the star's light and requires less than the mass of the moon to build.

Are my assumptions or math wrong somewhere?


How will the sun's angular momentum effect the dyson sphere, or will it?


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Old Post May 18th, 2010 02:35 PM
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Ordo
Enforcer of the Republic

Gender: Male
Location: Kamino Boot Camp

quote: (post)
Originally posted by Bicnarok
What´s the point of putting a vacuum cleaner in space, when black holes at CERN can do the jobsmile


BUT THEY DONT HAVE A BALL.

Why must I address the flaws others so obviously ignore?!


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Old Post May 18th, 2010 03:10 PM
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Bicnarok
From Ganymede

Gender: Male
Location: Cydonia, Mars

There´s a ball alright, a material negative nothing ness spheroid

Old Post May 18th, 2010 03:31 PM
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Symmetric Chaos
Fractal King

Gender: Male
Location: Ko-ro-ba

quote: (post)
Originally posted by Mindship
So...been doodling much lately? What's the impetus? Drunken wager? Shot at full scholarship?


I was curious about how feasible the design was. The FTL drive I'm working with makes gigascale construction feasible for groups that build their own.

quote: (post)
Originally posted by Mindship
Question: if the mass of the moon gives you 65% coverage, why not cannibalize more mass (get some of the big asteroids, like Ceres) for more coverage? And to prevent collisions, why not anchor/stabilize all the collectors with nanotubes girders, (think giant Tinker Toy construct)?


I wasn't calculating based on mass. The reason I posted was because it took so little material that I was surprised.

quote: (post)
Originally posted by Mindship
Let me know if/when you get into starship design.


I typically use GURPS: Spaceships to get order of magnitude work for those designs, except that I you the rocket equation to get delta-V.


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Old Post May 18th, 2010 03:47 PM
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Ordo
Enforcer of the Republic

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Location: Kamino Boot Camp

quote: (post)
Originally posted by Bicnarok
There´s a ball alright, a material negative nothing ness spheroid


Well, for starters its clearly not yellow...

Besides, suction is clearly superior to gravity. Gravity puts dust on the floor, it doesn't remove it! And can we prove its bagless? I think not!


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Old Post May 18th, 2010 04:18 PM
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Bicnarok
From Ganymede

Gender: Male
Location: Cydonia, Mars

Is this thread refering to the daft idea of using some of Jupiters mass to build an energy collector around the sun?

Old Post May 18th, 2010 06:59 PM
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dadudemon
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quote: (post)
Originally posted by Bicnarok
Is this thread refering to the daft idea of using some of Jupiters mass to build an energy collector around the sun?



No, this is a thread about creating a semi-Dyson Sphere through staties built from a future material that is super duper ultra light and super duper ultra strong. Strong enough to support the solar collectors and a "pod" of lots of people. It will have a propulsion system in place and a counterweight, so that it will remain static around the sun to avoid the solar drift problem. It will require far less mass than the moon to accomplish. It's very plausible, actually. We just need to amp up or solar collection efficiency to something closer to 80%, imo. no expression

Edit - Oh yeah, there's also that material that doesn't really exist yet...cept for carbon nano-tubes.


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Last edited by dadudemon on May 18th, 2010 at 07:39 PM

Old Post May 18th, 2010 07:24 PM
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Mindship
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quote: (post)
Originally posted by Symmetric Chaos
The FTL drive I'm working with makes gigascale construction feasible for groups that build their own.
What sort of FTL?


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Old Post May 18th, 2010 11:33 PM
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Symmetric Chaos
Fractal King

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quote: (post)
Originally posted by Mindship
What sort of FTL?


It moves a given volume of mass into the objective frame of reference. This lets me neatly handwave paradox and sound totally smart. Borrowing from the Known Space rules the drive doesn't work deep in a gravity well (though it fails harmlessly rather than destructively), however you can make the drive big enough to envelop a planet if you want at which point the planet's gravity is entirely in the drive field and you can move it FTL. There's a limited number of planets that are far enough from their star for this to work, but it does mean that extreme scale projects are just about practical.


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Old Post May 19th, 2010 12:04 AM
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jaden101
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quote: (post)
Originally posted by Symmetric Chaos
No, not that. Building a solid shell requires serious superscience and I'm trying to avoid that.


There's also the problem that a solid Dyson sphere is gravitationally neutral and so anything living on the inner surface would just fall towards the star contained in it.

Although this is avoidable through a series of rotating outer and inner spheres.


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Old Post May 19th, 2010 12:18 AM
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dadudemon
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quote: (post)
Originally posted by jaden101
There's also the problem that a solid Dyson sphere is gravitationally neutral and so anything living on the inner surface would just fall towards the star contained in it.

Although this is avoidable through a series of rotating outer and inner spheres.



That's cool.

How do those rotating spheres work, though? The inner one rotates and the outer doesn't? Or, do all the people live on the interior of the outer sphere and the internal is stationary and the people live on the inside of the outer sphere's surface?


And, how does that work? I've never understood how rotating would work on a small scale...but a large scale should work.


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Old Post May 19th, 2010 12:51 AM
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