Originally posted by diablomonic
ie the phase change is ENTIRELY relevant to the critical mass as it affects the density...
Only in that anything that affects the density affects the density. In this case, it's the external pressure that's the prime cause. The phase
changes cause non-linearities in the density/pressure curve, but they are not the root cause of the density changes.
as far as I remember reading the pellets themselves, in there separate extremely tough containers, had enough mass to got super critical after the
phase change. having more of the pellets round just increased the likely hood that one would collapse due the phase change quick enough to actually
have a half decent yield (which is related to how over critical it can get before exploding, which is related to how quick it collapses, as Im sure
you already know)
They're not that large. An individual GPHS-RTG (as used in Cassini) pellet is something like 150g and cylindrical. Were they using a different RTG
for Galileo?
Not to mention that they're not metallic - they're 238PuO2, which is going to increase the required mass due to the absorption cross-section of the
oxygen.
here it is "http://www.rinf.com/news/nov05/lucifer-project.html"
There's your first problem - RINF is as trustworthy as India Times or Weekly World News. Maybe not as much so as Pravda Online.
well the temperature is provided by the fission blast, which can reach millions of degrees, and then kept up by the subsequent fusion reactions. As to
pressure, I dont know whats required, but jupiters pressure reaches ~4000 GPa and this would obviously be raised considerably locally by the
explosion.
In a standard Teller-Ulam secondary, you have to have a fission primary putting out a ton of x-ray and gamma rays, which drive a compression wave that
compresses the 6LiD fuel around a plutonium bar. The plutonium is eventually compressed sufficiently to cause a fission explosion in the center. So it
basically takes the neutron flux (for the Li conversion to T), heat and pressure created by a fission explosion in the center of the fuel, combined
with the ongoing physical and radiation pressure exerted by an external primary trigger. It's really rough to get this to work any other way.
You also only get that pressure you quote at the core of the planet, which you would not have been anywhere near.
As for calculations, go dig up the Lawson criterion, it will at least give you a clue about how to calculate initial ignition temperatures and
pressures. It gets to be a bit more difficult to work out the sustainability once it ignites, since you're going to be losing heat in several ways,
primarily through radiation, and the explosion will cause a pressure wave through the atmosphere. That usually takes a long numerical solution,
there's several models for it, and you have to figure out why they diverge which they almost always do. But you can get a nice rule of thumb by just
assuming a constant pressure and no heat loss. If it can't meet that, it won't ignite anyway.
As far as H-H being more difficult than D-T, there's a couple of reasons. First and worst is the fact that H-H -> He is not a single stage reaction.
It requires several steps and time. First, you have to fuse two protons (about 10E7 degrees to get that one to go), and that has to have time to decay
to deuterium by emitting a positron and a neutrino. This is admittedly not long, but it does take time during which your density is dropping as the
reaction begins to expand. Then you have to corral two of those deuterium atoms and fuse
them, with a critical ignition temp of about
4E8 degrees. That's not so straightforward. There's an even worse chain where you fuse the deuterium with another proton to make He3, then fuse the
two He3's in yet a third reaction. That's the more likely one in terms of energy requirements, but it takes three separate fusion events, all of
which are of low orders of probability.
It's why we use hydrogen isotopes with neutrons already in there like tritium and deuterium. You don't have to wait to make two neutrons by positron
emission. Having to manage fusions twice per reaction (or three, even worse) also craps all over your requirements for density and time, because you
have multiplied two (or three) small probabilities together. That's why H-H generally only happens in the cores of stars where you have hellish
densities and very long confinement times.
"The question you should ask yourself is - how many Hiroshimas was the impact of Shoemaker-Levy? It hit with an amazing amount of energy."
irrelevant. whats relevant is whether the impact energy was concentrated enough at any place to achieve the required temperatures and pressures...
which it obviously wasn't and that doesn't surprise me. Also that impact was to the outside of the planet, therefore the energy was mainly released
in the upper atmosphere, where the pressure is not so high. These pellets sink quite deep to a point where the pressure may indeed be high enough to
help sustain ignition (at least, its a lot more likely than at the surface)
Incorrect. The impact energy was concentrated in the leading edge of the impacting objects, an area where a huge amount of compression is also
ongoing, as I'm sure you'd agree. There were several impactors that were quite large. The total impact energy, by the way, was estimated at
50,000,000 Hiroshimas - not insubstantial.
For fun -
Lawson's original paper. Warning - pdf. Here's lots of
info and I don't have to get off my lazy arse and fire up mathcad to do the equations. You can't do much of a job on one of these boards with math,
so I end up having to fire up mathcad to make equation jpg's you can post. It's a pain, and no-one much understands it anyway, I quit doing it long
ago.
on the page I linked, it is mentioned that:
2003 (July) Geographer, J.C. Goliathan publishes a report stating that a nuclear reaction is slightly possible if Galileo goes into Jupiter.
25 2003 (early Sept) Physicist, Jacco van der Worp publishes a report warning of what could happen if Galileo plunges into Jupiter citing Goliathan's
report and actually crunching the numbers to prove it. Jacco sites the low probability, but believes the risk is high enough to warrant a warning.
I can't find that Goliathan has ever published. That doesn't necessarily mean anything, but in one of these cases it generally makes me want to
verify he has the academic credentials he claims.
Looking at van der Worp, he's sort of tied up into this Planet X/Nibiru/free energy/YOWUSA bullcrap, and sells CT books. He's also a MSc, which I
will be too sometime next year, but I won't call myself a physicist with a masters'.
You might look around, you said you'd had some physics classes? van der Worp says that a magnet stuck to the underside of a metal plate is doing
work. What would you say? Do you think it is? (note to other ATS'ers, "work" in physics is not the same as "effort" in English)
At any rate, Galileo hit in September of 2003, no new sun.
[edit on 3-11-2007 by Tom Bedlam]