Spherical Trig question

markraz

Full Member
Joined
Feb 19, 2014
Messages
338
1614402541427.png


Hi, I'm trying to find the equation of a path on a sphere sort of like this red curve between P and Q above.
I think this solution below can calculate this curve. My question is, what exactly does 'd' represent? Also does the 'f'
variable behave similar 't' in a parametric equation?

Any help will be much appreciated, thanks in advance

1614402390462.png
source:
 

LCKurtz

Full Member
Joined
May 3, 2019
Messages
385
Apparently \(\displaystyle d\) is a given, or previously calculated great circle distance between the two points. \(\displaystyle f\) is a parameter between 0 and 1 where the point moves along the curve from P to Q as \(\displaystyle f\) moves from 0 to 1. So, yes, \(\displaystyle f\) is like a parameter \(\displaystyle t\).
 
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