Perpetual Student
Illuminator
- Joined
- Jul 8, 2008
- Messages
- 4,852
All right I'm no mathematician but lets have a crack at a little mathmatical jiggery pokery, I'm sure if I do something wrong someone here will let me know!
In relation to the spider crater on Mercury being an electrical discharge (spark/arc) phenomena and not impact, volcanic or geological. Then we might just be able to do some maths.
Ok lets work out some basics
Electrostatic discharge (spark/arc)
Futher from the same article
so as we are not talking about the dielectric field strength of air here but of space/vacuum would could roughly generalize with the electric constant
or
[qimg]http://upload.wikimedia.org/math/9/3/6/93625ef2eeb601c7ef202f15d49efa2a.png[/qimg]
But that's not of much help if what we a really after is Realization of free space in outer space
So while we are not talking about IPM or ISM here at Mercuries orbit what is actual plasma density there?
If it's coupled to the solar wind then it's going to be highly variable, I would imagine considering how dynamic the solar wind is (Sun plasma stream).
So which electric constant shall we "pick"?
Anywhoo... according to my theory once a threshold was reached WRT charge separation and electric field strength and the electric constant a corona discharge started.
Firstly That fluid in this case is plasma, remember we are on Mercuries surface here.
Now I believe that the conditions that contributed to the formation of this "spider crater" continued to increase the strength of the local electric field so
So the steps that involved are quite straight forward.
Pretty pics omitted for the sake of bandwidth
Mechanism of corona discharge:
now we could use Peeks law, [qimg]http://upload.wikimedia.org/math/9/8/1/981a60ff1f1402292fe3313ec2dd9e6d.png[/qimg] but I'm not to sure how'd that work around Mercury!
Could we fiddle it to fit a sphere in space?
Lets call the surface of Mercury on a planerty scale smooth, so mv=1
As we are not talking about wire but a sphere here and Murcuries mean radius is 2,439.7 ± 1.0 km or as we are really after the surface area of a sphere, at least Murcuries the r=7.48 × 107 km²
S=??? .i.e. we don't know the distance between the two objects here, so lets just make one up based on Terrestrial positive lightning between the ionosphere and ground of 100km and so S=10000km nice round number!
Which in space would, I imagine be negligible, so δ=0
as we are not in Earths atmosphere here I could assume the electric-constant would be close enough? So gv=ε0 or whatever it maybe at the surface of Murcury, but will start there.
Could we butcher the equation like that and get something useful out of it?
On the "look" of it (the Spider crater) and the description between a positive and negative corona discharge I'd posit a negative coronal discharge!
Negative coronas
So RC maybe correct in he's assumption of the formation taking place in two separate events! But he's timing may be off, it may not be cosmological time here, the "grabens"/rays/channels formed just before the dielectric strength was exceeded and an spark/arc formed which then formed the crater, time wise maybe only seconds, minutes or hours hell maybe even days passed before discharge was initiated!
Hope that's sciencey enough for our resident boffins, but without the hard data to plug into a highly dynamic process at this stage I'm not to sure if the maths is of much use!
Sol Invictus, Reality Check, tusenfem, Tim Thompson, Ben M, Perp student and others, which bit is hard to understand?
You cannot really believe that collage of links and cut-and-paste equations proves anything? This is just hopeless!
How much hype was there that this is going to prove the Big Bang, and reveal all the universes secrets, the illusive Higgs Boson and secrets of gravity? And what was the result? Nothing. Bunk. Crap. And still Focus Fusion technology, derived from plasma cosmology considerations of the magnetic field effect creating a Dense Plasma Focus (DPF), is still lacking sufficient funding to complete the last stage in its setup, despite needing nearly tens of thousands times less money than the projects based on principles closely related (and some even derived) from the big bang. See "