tusenfem
Illuminator
- Joined
- May 27, 2008
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- 3,306
So. The main reason why EM phenomena are so vital in cosmical models is the existence of celestial magnetic fields, which greatly alter the motion of all ions in space plasma.
And naturally that is not exactly true. The cosmic magnetic fields are on the order of nanoTesla or smaller. So it completely depends on the energy of the particles, telling us whether they are magnetized or not, and on the so-called plasma-β (~ nT/B2) which tells us what dominates, the plasma or the magnetic field.
In most situations, especially on scales smaller than molecular, electromagnetic forces far more stronger than gravitation. For example, assuming that a particle moves at the earth's solar distance RE (the position vector being RE) with the earth's orbital velocity v. If the particle is a neutral hydrogen atom, it is acted upon only by solar gravitation (the effect of a magnetic field upon a possible atomic magnetic moment being negligible). If M is the solar and m, the atomic mass, and γ is the constant of gravitation, this force is f = -γMm RE/RE3. If the atom becomes singly ionized, the ion as well as the electron (charge e = ± 4.8 x 10-10 e.s.u.) is subject to the force fm = e(v/c) x B from an interplanetary magnetic field which near the earth's orbit is B. The strength of the interplanetary magnetic field is of the order of 10-4 gauss, which gives fm/f ≈ 107. This illustrates the enormous importance of interplanetary and interstellar magnetic fields, compared to gravitation, as long as the matter is ionized.
which basically means that the magnetic field is important and the dumb 36 orders of magnitude between gravity and electric force does not come in.
(Msun 2 1030kg, Mh 1.67 10-27 kg, G 6.67 10-11, AU 1.5 108 m)
The gravitational force is Fg ~ 10-50 N
(q 1.6 10-19 C, B 5 10-9 T, v 30 km/s)
The Lorentz force is Fl ~ 10-23 N
The Fl depends on what velocity you take, I took the Earth's orbital velocity. MMMM I get a difference that is not even close to 107
But then again, it is hardly the kind of calculation you want to do, because the Lorentz force only makes the particle gyrate around the magnetic field, now if you have a nice cloud of particles on that field line of density N, then the gravitational force working on a unit lenght of the field line is going to increase by N, etc. etc. It is fun relatively comparing forces, but whether or not it has any real meaning remains to be found out. Usually, the answer is no.
Leading on from my previous comments using the above simple example its easy to see why I say that peratts model of galaxy formation, while failing to explain the galactic orbit of stars or terrestrial objects, could provide an extremely useful model in predicting the possible current circuits followed by particles in each galaxy.
Well, as the above example is clearly wrong ......
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