At what distance from a VOR will two converging aircraft lose separation if their angle of divergence is 15 degrees?

To determine the distance at which two converging aircraft will lose separation at a divergence angle of 15 degrees from a VOR, it is essential to understand the geometry of the situation.

The concept relies on the separation standards established for aircraft navigating via VOR, and that the effective separation distance is influenced by the angle at which the aircraft are approaching a common point (the VOR). When two aircraft are on converging courses, as they get closer to the VOR, they will intersect at various distances depending on their angle of divergence.

The critical formula used in this context derives from the relationship between the distance (d) from the VOR and the angle of convergence (θ). For two aircraft diverging at an angle of 15 degrees, there exists a calculated distance at which their paths will intersect based on the principles of trigonometry.

When you apply the appropriate calculations, which account for the angle of 15 degrees and the resulting geometry, it turns out that at approximately 17 miles from the VOR, the divergence angles lead to a situation where the aircraft cease to maintain the required separation. This distance is important for ensuring safety and maintaining the required minima in air traffic control operations.

This understanding of the convergence angle and distance is