Hello - total senior citizen newbie here - decent math skills but over my head with this issue. Hopefully this is the correct forum for my question.
Problem relates to aviation.
Aircraft travelling from point A along line AB to point B and turning to course along line BC to point C. If the aircraft waits until it reaches pointBbefore starting the turn it will swing way to wide.
The speed is constant, the angle formed by ABC is constant and the turn rate is 3 deg/sec.
I need a formula that - given any speed and any angle ABC - will determine the turn start point from AB which will bring it closest to B and come out on line BC.
I visualize a circle with two tangent lines forming an intersection (B). Where the first line contacts the circle is turn start point A and where the second line contacts the circle is the turn end point C. Just don't have the math skills to calculate what I need.
Hope this is clear.