I would like to know how to find a set of coordinates on a small circle some distance from another point.
For example, lets say A = (39.73, -104.98) #Denver
B = (39.83, -106.06) #point approximately 50 nautical miles away from A along the great circle track to C
C = (40.75, -111.88) #Salt Lake City, approximately 323 nautical miles away from A
How do I get the set of orange coordinates when I don't know the angle but I do know the cross track distance?
For concreteness, lets say the outer points near B have a cross track distance of +- 30 nautical miles and the inner points have a cross track of +- 15nm.
And the points near C have a cross track of +- 25 nm.
Also I have an initial bearing from A to C of -1.34 #radians