A) Make a solar system with  binary stars

B) Make the binary stars orbit around each other so that the trajectory  
looks like intersecting circles of the same size, yet the stars should  
never collide.

C) Have a planet for each star without colliding.

D) give each planet a moon.

E) change the size of one moon  to be the same size as it's planet so that  
they become binary planets

F) ad a planet that orbits both stars.

:)

-- 
-Nekar Xenos-

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On Mon, 25 Aug 2014 21:24:58 +0200, Nekar Xenos <nek### [at] gmailcom>  
wrote:

> A) Make a solar system with  binary stars
>
> B) Make the binary stars orbit around each other so that the trajectory  
> looks like intersecting circles of the same size, yet the stars should  
> never collide.
>
> C) Have a planet for each star without colliding.
>
> D) give each planet a moon.
>
> E) change the size of one moon  to be the same size as it's planet so  
> that they become binary planets
>
> F) ad a planet that orbits both stars.
>
> :)
>

http://labs.minutelabs.io/Chaotic-Planets/

left out the most important part :S

-- 
-Nekar Xenos-

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Am 25.08.2014 21:26, schrieb Nekar Xenos:
> On Mon, 25 Aug 2014 21:24:58 +0200, Nekar Xenos <nek### [at] gmailcom>
> wrote:
>
>> A) Make a solar system with  binary stars

No problem.

>> B) Make the binary stars orbit around each other so that the
>> trajectory looks like intersecting circles of the same size, yet the
>> stars should never collide.

That sounds rather easy - provided that the intersecting "circles" are 
allowed to be slightly elliptic.

>> C) Have a planet for each star without colliding.

That might become problematic. AFAIK there is no general solution to the 
three-body-problem except for m1 >> m2 >> m3, and here we have a 
four-body-problem...

>> D) give each planet a moon.

... a six-body-problem...

>> E) change the size of one moon  to be the same size as it's planet so
>> that they become binary planets

... and...

>> F) ad a planet that orbits both stars.

... so on.

I can only imagine it to be somewhat stable if you take care to make not 
only the masses sufficiently different in order of magnitude, but also 
the radii. Like, have the stars orbit each other at an average distance 
of X, and have the planet orbit them at an average distance of, say, 
100*X. (And yes, make that an exact multiple.)

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Am 25.08.2014 21:26, schrieb Nekar Xenos:

> http://labs.minutelabs.io/Chaotic-Planets/
>
> left out the most important part :S

I wonder how the results would look like if the number of planets 
couldn't only decrease due to collisions, but could also increase due to 
planets breaking apart in near-collisions, or by collisions of planets 
with similar mass resulting in a big planet and a number of smaller 
fragments.

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Am 25.08.2014 21:24, schrieb Nekar Xenos:
> A) Make a solar system with  binary stars
>
> B) Make the binary stars orbit around each other so that the trajectory
> looks like intersecting circles of the same size, yet the stars should
> never collide.
>
> C) Have a planet for each star without colliding.
>
> D) give each planet a moon.
>
> E) change the size of one moon  to be the same size as it's planet so
> that they become binary planets
>
> F) ad a planet that orbits both stars.
>
> :)
>


Here's a good example of why that's more difficult than it may appear at 
first:

http://goo.gl/8oj291

At first it seems that the system settles into a very neat routine: 
While a pair of two heavy central bodies tumbles closely around each 
other, a lighter third body circles it at a considerable distance, with 
some precession but otherwise unremarkable. After a while the third 
body's trajectory will become uneasy for a brief time, then settle again 
into a more excentric but seemingly more stable orbit, ceasing its 
precession.

But the peace is a treacherous one: Very suddenly, momentum will begin 
to transfer from the inner planets to the outer one, drastically 
increasing its orbital period and excentricity; within a matter of just 
a dozen orbits it will start going off screen, until it spends maybe a 
minute or so off screen at a time. Another dozen revolutions later the 
orbital period and excentricity will start to decrease again, but will 
never shrink again to fit inside the screen, and only a handful of 
revolutions later the planet picks up speed again, this time to go for good.

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On 25/08/2014 21:24, Nekar Xenos wrote:
> A) Make a solar system with  binary stars
> 

easy.

> B) Make the binary stars orbit around each other so that the trajectory
> looks like intersecting circles of the same size, yet the stars should
> never collide.
> 

so both stars have nearly the same mass, not a problem. (not a ratio
bigger than 5 ?)


> C) Have a planet for each star without colliding.


Hummm, due to Roche limit, a planet would only survive far away from
both (if it goes between the two and out of it, it's broken in very
small pieces due to the change of the gravity field... or it's not a
planet). So the planet is rather orbiting around the center of mass of
the two stars as one object.

Having two of them is not a problem (Jupiter/Saturn), but they are not
around a star.

A possibility would be to have the planets at the lagrange points.
L1 is hell and there is no place for two there, L2 & L3 are moving too
fast to respect Kepler equation. L4 & L5 (mirrored L4) are on nearly the
same orbit as the second object, so speed is ok to say "I'm orbiting
around..." .

But there is a problem for orbiting around the second star, as L4/L5 are
around the most massive one only... you can of course cheat and assert
the stars have the same masse, but L4/L5 are stable only for mass ratio
above 24.96...

> 
> D) give each planet a moon.

Easy... excepted that each planet still does not exist according to C
unless you are far far away or at L4/L5.

> 
> E) change the size of one moon  to be the same size as it's planet so
> that they become binary planets

So they are even further away from the stars, and they are like pluto
and charon.

Or they are even smaller to fit their orbits safely in L4/L5

stability of L4/L5 is still a problem.

> 
> F) ad a planet that orbits both stars.

I could finally go the easy way for a solar system with enough mass
increase (everywhere) to lighten Jupiter as a star. (but that make the
sun a supermassive star. as Jupiter need a boost to reach 0.07 sun's
mass to burn deuterium, so about a x13 factor)

Stars: sun (x13 mass, candidate to becoming a neutron star one day) &
jupiter as brown dwarf.


> 
> :)
> 


-- 
IQ of crossposters with FU: 100 / (number of groups)
IQ of crossposters without FU: 100 / (1 + number of groups)
IQ of multiposters: 100 / ( (number of groups) * (number of groups))

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clipka <ano### [at] anonymousorg> wrote:
>
>
> Here's a good example of why that's more difficult than it may appear at
> first:
>
> http://goo.gl/8oj291
>
> At first it seems that the system settles into a very neat routine:
> While a pair of two heavy central bodies tumbles closely around each
> other, a lighter third body circles it at a considerable distance, with
> some precession but otherwise unremarkable. After a while the third
> body's trajectory will become uneasy for a brief time, then settle again
> into a more excentric but seemingly more stable orbit, ceasing its
> precession.
>
> But the peace is a treacherous one: Very suddenly, momentum will begin
> to transfer from the inner planets to the outer one, drastically
> increasing its orbital period and excentricity; within a matter of just
> a dozen orbits it will start going off screen, until it spends maybe a
> minute or so off screen at a time. Another dozen revolutions later the
> orbital period and excentricity will start to decrease again, but will
> never shrink again to fit inside the screen, and only a handful of
> revolutions later the planet picks up speed again, this time to go for good.

I saw the Wikipedia, it says that over a large timescales, the Solar System will
be chaotic.

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this one is very interesting. This planet has a very exiting life :)

http://goo.gl/Gz5saE

-- 
-Nekar Xenos-

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Am 26.08.2014 20:08, schrieb Nekar Xenos:
> this one is very interesting. This planet has a very exiting life :)
>
> http://goo.gl/Gz5saE

is that "exiting" or "exciting"? :-P

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this is the closest I've gotten so far. But the binary planets still crash  
after a few rounds

http://goo.gl/V6YRX2

-- 
-Nekar Xenos-

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