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Earth with saturnian rings (Read 4407 times)
frankuitaalst
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Earth with saturnian rings
01/30/10 at 04:03:37
 
In the BAUT forum there was a discussion about Earth heving gathered a Saturnian ring system .  
http://www.bautforum.com/astronomy/99795-if-earth-had-saturn-like-rings.html
Here's a simulation of such a system ( 500 particles ,with Sma from 12.000 to 20.000 km ) .  
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frankuitaalst
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Re: Earth with saturnian rings
Reply #1 - 01/30/10 at 07:15:21
 
And here's how the simulation looks ...
Running the sim for tens of years there are no signs of instability which may be provoked by the moon  
 
Edit : I noticed Earths ring system seems to have spokes , just as saturnians system . This is surely due to compression artifacts
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EarthwithRings.gif
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frankuitaalst
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Re: Earth with saturnian rings
Reply #2 - 01/30/10 at 08:23:40
 
The variation of eccentricity and inclination as a function of sma and time (over a period of about 10 years)  is shown here ( generated using the viewer ) .  
The envelope of the parameters doesn't seem to indicate any instability of these objects.  
 
Edit : parameters used in the simulation : Ecc=0 ; Incl =0
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« Last Edit: 01/30/10 at 09:39:34 by frankuitaalst »  

EarthRingsEvolutionEccInc.gif
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Tony
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Re: Earth with saturnian rings
Reply #3 - 01/30/10 at 15:15:27
 
Yes, the spokes would just be an artifact of the graphics.  Did you include Earth's moon?
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frankuitaalst
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Re: Earth with saturnian rings
Reply #4 - 01/30/10 at 23:42:36
 
Yes , I took the Full System where Moon was included .
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Re: Earth with saturnian rings
Reply #5 - 02/02/10 at 15:04:11
 
Is the plane of the ring particles in the plane of Earth's equator or the ecliptic?  
 
I suspect the strongest influences on the stability of these particles are things Gravity Simulator doesn't model; such as atmospheric drag, the nonspherical shape of the Earth, possibly even the pressure of sunlight on the grains.
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frankuitaalst
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Re: Earth with saturnian rings
Reply #6 - 02/03/10 at 12:28:10
 
Quote from Nexus on 02/02/10 at 15:04:11:
Is the plane of the ring particles in the plane of Earth's equator or the ecliptic?

I suspect the strongest influences on the stability of these particles are things Gravity Simulator doesn't model; such as atmospheric drag, the nonspherical shape of the Earth, possibly even the pressure of sunlight on the grains.

The plane of the particles is in the ecliptic here but it could have been in the equator plane with the same result more or less.  
You're right : Gravsim doesn't take into account the obliquity and the pressure of sunlight . The influencece of the athmospheric drag can be neglected I think because the minimum Sma of the partcles is 12.000 km , far above Earths surface .
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Tony
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Re: Earth with saturnian rings
Reply #7 - 02/03/10 at 12:43:23
 
If the particles are in the equatorial plane, I don't think Earth's shape will make much difference, as the gravitational potential is constant within the plane.  It's when particles are going above and below the plane that they will feel Earth's gravity strengthen or weaken throughout their orbit.
 
Force from sunlight works just like gravity, except in the opposite direction.  It even falls off as an inverse square like gravity.  So to an individual particle, it's as if it's orbiting a slightly less massive sun.  I guess the interesting thing would be that a particle's cross-sectional area increases as its radius squared, but its volume, and hence its mass increases as a radius cubed.  So larger particles are less-affected.  But since they orbit the Earth, the effect may even out over the course of an orbit.  Just guessing.
 
You can actually make Gravity Simulator take into account the pressure of sunlight by computing yourself what the acceleration would be on each particle, and then using Autopilot to continuously thrust away from the Sun by this amount.
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