The following problem is solved. A pilot is ordered to make a scouting flight around a base. His orders are to fly out from the base along a straight path, make a complete circle whose center is the base and return to the starting point. If a constant wind is blowing and the pilot has fuel for n hours of flight, what is the greatest distance and longest time the pilot can fly away from the base and still have enough fuel left to carry out his orders? The solution, which involves elliptic integrals, is brought to a usable practical form by a table which reveals at a glance the radius of the circle and the time of flight out for various combinations of wind and air speed.
Proceedings of the Iowa Academy of Science
©1943 Iowa Academy of Science, Inc.
Thielman, H. P.
"A Problem in Air Navigation,"
Proceedings of the Iowa Academy of Science, 50(1), 273-277.
Available at: https://scholarworks.uni.edu/pias/vol50/iss1/23