This is how it all started! I am reading an article in WEATHERWISE about am obscure tornado outbreak in the Midwest on March 20, 1976(after Fujita, CLOUDTOPS TO SUCTION VORTICES.) I note the questions Professor Fujita asked in the article which gets me thinking. I had obtained an HP 25 for Physics class and I used it to establish Least Distance by means of Great Circle calculations between storms( I had also obtained a computer printout for Kansas City for the Super outbreak and I went from storm to storm to assess respective distances, do you know a Dr. Horace Hudson from there because he gave it free to me although he told me that the cost should have been thirty bucks). In addition I used the HP to address the nine tornadoes of Storm B(Hoyleton et al storms) which by my accounting was
A exp^-kxt sinBx
But Professor Fujita was interested seemingly in these nine tornadoes to that extent, he was interested in the overall question of why these storms occurred as they did(In my opinion and from thirty-three year memory). From this, I went to April 11, 1965, Palm Sunday event and noticed some striking resemblances and I asked the question: Is there a common thread here! I then checked the basic meteorological equations and found something interesting in the pressure field and horizontal velocity, the basic Newtonian relationships found in first year Dynamic Meteorology courses.
du/dt=-1/rhopartial pressure/partial x +fv
dy/dt=-1/rhopartial pressure/partial y-fu
These are balancing terms for each. I then wondered what would happen in a two-dimensional format
d(u+v)/dt=-1/rho(partial pressure/partial x+partial pressure/partial y)-f(u-v)
Taking the term,f(u-v) which is the two-dimensional aspect of the Coriolis effect times the u and v components in a zonal format, subjecting this to a double integration and solving, I found the outcome to be the cardioid(It has been also confirmed by a prominent mathematician). We are talking only of a series/sequencing in the domain [0,pi] and not [0,2pi]. This is interesting! I applied it to the Palm Sunday outbreak with the outcome
Storm Grouping x coordinate y coordinate
B,A,C -(2cosx-cos2x) (2sin x-sin2x)
D,F,E (2sin x-sin2x) -(2cosx-cos2x)
G and 2 Lake Michigan waterspouts (2cosx-cos2x) -(2sin x-sin2x)
J,K,L,M -(2sin x-sin2x) (2cosx-cos2x)
H,I,00826,N -(2cosx-cos2x) -(2sin x-sin2x)
00626,00726,[J,K],O -(2cosx-cos2x) -(2sin x-sin2x)
L,P,Q,R -(2cosx-cos2x) -(2sin x-sin2x)
Think about it! What might be the likelihood that this outbreak is entirely deterministic? It is very profound that these storms should fit a pattern that I am raising here. It needs testing from an objective point of view which is why I am coming to this website!
If you guys want to test it, go right ahead!