Which formula accurately describes the relationship for speed calculation in a moving radar system when the target is in the same direction?

The formula that accurately describes the relationship for speed calculation in a moving radar system when the target is moving in the same direction is represented by the relationship where the total speed (TS) is equal to the speed of the patrol system (PS) plus the closing speed (CS), divided by the speed of the subject (SS). This is because when both the radar system and the target are moving in the same direction, the total speed measured is influenced by the relative velocities of both entities.

In this case, the radar system’s speed (PS) and the target’s closing speed (CS) work together to affect how quickly the radar calculates the target’s speed against the background of the patrol system's own speed. By dividing by the speed of the subject (SS), this formula accurately accounts for the relative motion, yielding an accurate measure of motion relative to the stationary or slower-moving reference frame of the radar operator.

This understanding is crucial, as it elucidates how radar systems compute target speed, particularly in scenarios where the target's direction of travel aligns with that of the radar unit.