Calculating Mercury's Orbit with Hyperbolic Geometry

[jmckennon]

If this is in the wrong section, I apologize.

I've been doing some independent research on the applications of hyperbolic geometry, and I
ve hit a rather difficult snag. I've seen in a few places on line that Mercury's orbit can be more accurately calculated using hyperbolic geometry as opposed to euclidean geometry. How can this be done? I'm not sure where to begin in trying to calculate this.

Any help would be appreciated!

 

[D H]

In short, use general relativity rather than Newtonian gravity. Newton's law of gravity implicitly assumes space is Euclidean. General relativity says it isn't.