Therefore, during the docking phase of PDARS, it can be reasonably assumed that the lateral and vertical disturbed drogue motions are independent.
The collected real probe-drogue aerial refueling videos, as shown in http://pan.baidu.com/s/1mi31gQ8, indicate that, during the docking phase of PDARS, frontal images of the drogue can be reasonably expected, and the probe can be approximately perpendicular to the drogue end plane.
Note that it can be meaningful and helpful to model the random factors in PDARS and give its statistical probability model using statistical methods based on the experimental data.
(1) This paper numerically simulates the docking success probability during the docking phase of PDARS. Considering the facts that the receiver aircraft operates docking maneuver when the probe is in front of the drogue, and the atmospheric disturbance affects the movement of the drogue, this paper provides the theoretical estimation of probe-drogue docking success probability before docking maneuver when the probe is in front of the equilibrium position of drogue center.
(2) Reasonable assumptions for the distribution of the drogue center position under atmospheric disturbance are provided, according to the prior information during the docking phase of PDARS.