(adsbygoogle = window.adsbygoogle || []).push({}); The Great Circle et al....

It is certainly intuitively clear that the geodesics on the sphere are the great circles. But, showing that seems to be a bit tricky...

I tried working out the Christoffel symbols, and then plugging that into the differential equations for the geodesics, and aside from it being a bit of a mess, I'm up against a bit of a wall with the system.

Now, perhaps I just need to grind it a little more, and it will all fall out, but, I can't help but wonder if there is a better way to "show" what the geodesics of a surface are.

I've had the same issue with the cylinder...

Any tips, to just point me in the right direction, I'd be most appreciative.

Thanks,

-FC

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The Great Circle et al

**Physics Forums | Science Articles, Homework Help, Discussion**