Originally posted by tony4
The true formula is
Theta =4*G*M/c^2/r (not r squared)
Theta =4*G*M/(r*c^2) (not r squared)
The angle is measured in radians. To convert this to degrees we have to multiply by 180/pi. To get the value in seconds we multiply by 180/pi*60*60
For Einsteins famous prediction of light from a star grazing the son we get
Theta =4*6.7e ...[text shortened]... conds
R is the radius of the sun.It is the closest point that the light ray comes to the son.
I tried to get in touch with the dude who wrote the paper using R squared but was unsuccessful, guys name was Abla. The math is a lot easier to get the actual first focal point by just inverting the radian answer, that gives the effective 'f stop', the ratio between the diameter and the focal point, which for the answer for our sun, comes out at about 8.5E-6 radians, invert that and you get 117,000 and change, multiply that by the radius and you avoid all those other steps to get the first focal point, about 83 billion Km out from the sun.
I was in contact with an Italian scientist by the name of Maccioni who started the ' To the solar Foci' project, the 1000 AU probe, which of course we don't have the propulsion just yet to do that, Ion rockets looks like the best bet for that using some kind of nuclear source.
Get to that 1000 AU area, just take telescopes, and other kind of sensors and turn around and aim back at the sun and you get lots of free gain for everthing from neutrino detectors (neutrino's have some mass so the actual first focus may be a bit closer, the would be a way to peg the mass of the neutrino independently, btw, take an EM reading for just where first focus is for light or radio and then move in to see a peak in the neutrino field and the difference should peg the mass of the neutrino. That's my take on it anyway.
I have already finished my first paper on that and submitted it to my son-in-law who is a physicist and could vet the ideas submitted. It was a long project, I would put it aside for a couple of years, then think about it again and come up with some new insites about our local gravity lens environment.
The big boys concentrate on the galactic Einstein rings and such to get images and information otherwise unobtainable about extremely distant galaxies and such but my interest had always been, what about our own sun, what are the implications of our own gravity lens for science? I came up with some interesting conclusions I think. So We'll see it the paper passes peer review, eh.