Seems Kepler was a very naughty boy..
http://www.nytimes.com/1990/01/23/scien ... gewanted=1
Done in 1609, Kepler's fakery is one of the earliest known examples of the use of false data by a giant of modern science.
Here's one: http://www.astronomy.ohio-state.edu/~po ... 5/gps.htmlInteresting. Do you have a link?Kepler is not good enough for GPS -- they need Einstein to get the accuracy.
Actually, up at Myvatn was a retired American prof talking about his day with Atlas (D?) in the 50s/60s and the very issue of time synchronisation. They let the satellite broadcast the 'time'. There is no day or night up there.
If these effects were not properly taken into account, a navigational fix based on the GPS constellation would be false after only 2 minutes, and errors in global positions would continue to accumulate at a rate of about 10 kilometers each day! The whole system would be utterly worthless for navigation in a very short time.
you keep changing this, there have been at least 3 different expressions since I started to answer itHaving found [$]y[$] you now need to solve for the true anomaly [$]\theta[$], How?
[$]\tan^2(\theta/2) = a \tan^2(y/2)[$] where [$] a = (1+\varepsilon)/(1 - \varepsilon)[$].