Mordred

Hrrm I can see these functions could have a broad range of applications. Thanks for sharing this, gives me something new to study myself. I always keep an eye out for useful mathematical methods that I could employ. I will have to look more into the Leal functions. You might this listing handy https://personal.math.ubc.ca/~cbm/aands/abramowitz_and_stegun.pdf There is a section listing transcendental functions. (The article simply has a good listing of various functions for the purpose of quick reference . It doesn't go into any particular details on any of them. I found it handy in the past you might as well. Edit doesn't seem to be a whole lot of information on those functions beyond the links you already posted.

I was always wondering how DRAGON got it's name ISOL was before my time as well. TiSOL was just recently put online a couple of years prior (88-89) was when I was there. Sounds as though you and I were there in a similar time frame. I was able to visit the Synchrotron in Sakatchewan as I had a relative that worked in that facility. It's another impressive facility. It also helped one of my uncles of my father's side was teaching at UBC.

Lol another funny coincidence during my internship TRIUMF was in collaboration with Germany in regards to polarized neutron research using helium-3 as the best candidate for production. They were also in a big push for the TR30 accelerator in conjuction with EBCO Industries. It's amazing what you learn for example one wouldn't think a cyclotron would require a radio license to operate however TRIUMF required one. At that time NORDION a radio pharmaceutical company wanted to purchase the first TR30 for proton therapy.( the replacement for CP42 if I recall correctly). I wasn't too involved on the medical side but they certainly gave lots of lectures on the topic lol. As you mention the real learning comes when you need to apply what you learned. For my MSc my dissertation was on quintessence inflation. I long ago lost my copy due to a fire however it was shown invalid with WMAP findings (I didn't have sufficient e-folds to match observational evidence that came available later). Also didn't help that I was also employing Parker radiation for expanding Cosmology. Lol there's a radiation you don't hear about nowadays in Cosmology. (Though I believe there is a variation of Parker radiation in medical applications don't know if that variation is still used today)

I'm sure you found the instructor to individual time extremely useful. Lol perhaps a bit too much instructor to student time in your case lol. I can certainly understand your class mates sentiment. Good thing physics is useful in a wide range of trades beyond being a physicist.

Nice alternative method list on that link. Several mentioned there that hasn't been mentioned this thread. I did previously mention kinetic impact but no one has spent any examining that option. Didn't know about that particular test though thanks for sharing. @Ken Fabian I particularly like the first article in so far as it included fuel consumption as well as a dollar value given in 1995 roughly. Thanks for sharing that link as well. That low deflection value you gave over time is accurate however as you only need enough deflection to miss the gravitational keyhole the needed deflection only requires 20 days but if process starts in the later on that can change to 135 days or greater explained in the first link.

That's fair nukes are one option. The detail many are missing though is that we're also not restricted to a single 1 ton craft for the towing. The first link you supplied gets deflection in 20 days in the examination it did there. I already posted near the beginning of this thread another paper that uses several gravity tractors to greatly speed up the time. Here is a related statement in the paper relating to nukes vs tractor. "operation as well. Finally it is very critical that neither NASA nor any other agency involved in addressing this challenge underestimate the degree to which the international community, both at the state level and that of the general public, will demand to be involved in and ultimately be satisfied with many of the decisions regarding NEO deflection. Fragmentation of the NEO, uncertainty in the execution and the results, and even nuclear explosions and radiation will be of enormous concern to the world public. Where more certain and benign methods are available to accomplish the deflection such instantaneous but risky approaches will not be acceptable. The Gravity Tractor, where capable of meeting the deflection challenge, is both technologically and societally the most preferable deflection option.". I tend to agree with that quoted section. Particularly since a 1 ton craft is trivial compared to the rocket fuel consumption to reach escape velocity. As we all seem to agree on using Apophis then according to this link we simply need to miss an 800 km gravitational keyhole. https://en.m.wikipedia.org/wiki/99942_Apophis As your first link examines this 20 days that it gives is quite reasonable.

Use the equation of state for a scalar field. The FLRW metric version is a good starting point. https://en.m.wikipedia.org/wiki/Equation_of_state_(cosmology) We already have equations to describe vacuum fluctuations with a pressure term see link. Under GR the stress energy momentum tensor has the pressure terms. This will correspond to how pressure is handled under QFT

Lmao small World indeed. I always thought highly of my time there. Very friendly and supportive environment. Everyone was incredibly helpful.

Precisely when you get right down to it every solution has infrastructure hurdles. I would think it would be far easier to get a gravity tractor solution than it would be convincing every involved government nukes are needed.

No problem quite frankly delivery is a large part of the problem to begin with. We haven't particularly established how much can or can't be reasonably delivered. Obviously we're not firing missiles from Earth to the asteroid so you would need a craft. That craft will determine how big a payload it can deliver.

Yes and AFAIK they still are quite open for internship.

Agreed one of my more memorable moments from my coursing was being able to get some time in TRIUMF. While the university I attended wasn't in partnership of owners we were still able to get a limited access. Got quite a bit more time with the University telescope though. Roughly the same size as the telescope Hubble used. I was able to get more time by being that helpful student with facility maintenance.

Well as I described earlier there's nothing stopping us from loading a craft full of warheads so we really aren't limited in megatonnage.

I realize it no longer exists but it does point out we can produce something of that magnitude. I'm more interested in seeing if there is any good studies of that test accessible. May give some better numbers to work with.

You might want to consider https://en.m.wikipedia.org/wiki/Tsar_Bomba The yield of tsar Bomba.

Where in that link describes what you just described ? Are you positive there isn't some miscommunication here ? Let me ask you a question A nuke exploding at the surface and a nuke of the same magnitude exploding at a higher elevation. Which EMP pulse is more dangerous ? The one on the surface or the one at an elevation?

Why wouldnt Where oh where did I claim that? I described the Starfish distance of 250 miles. I also provided a link (wiki) with values related to that test as well. That link highlighted some of the resulting damage to which you asked how many deaths resulted from it I made no claim regarding 300 miles. I did an examination using a 100 megaton range at the lunar distance.

We don't delete threads or posts we can however lock the thread

That's correct at the moons orbit even using the 100 megaton value 700 joules/sec isn't a huge risk. That's why I stated you need to react at that distance minimal. Anyways let's simply chock thus up as miscommunication and move on. We all agree nukes could be used provided it's far enough away. As well as there being no chance of the debris to enter Earths atmosphere

That's a good plan however likely never happen outside of previous tests done thanks to banning nuclear tests. So we're likely going to need to rely on previous tests and using mathematics from there What's unusual you do know EMP involves Gamma rays hence photons. You get reduction of strength due to the sperically symmetric distribution described by 1/r^2. That's an idealized scenario that assumes zero directivity. It's a miniscule distance from the moon to Earth for photons.

Yes that would be correct

Sigh you can actually run the calculation regardless of size. The first calculation used 100 megatons you can run the calculations for the Starfish nuke just as easily or any value you desire.

Of course they are dangerous you can do the same calculation using just the 10^20 joules/sec value for Starfish nuke and apply that at the moons orbit and you will still get EMP hitting our atmosphere. Modern nukes are more powerful

You accused of fear mongering and setting up a scenario to support my fear mongering I responded I also responded by demonstrating a simple calculation or do you not consider my using the 1/r^2 relation for EMP valid?

Really after your accusations throughout this thread ? I'm suppose to simply ignore it ?