Table 1
Simulation parameters

Parameter Value
Sampling time 1 sec
Initial range 10 m
Range threshold 1 m

Chaser Mass 10 kg
Moment of inertia (MOI) [0.091, 0, 0; 0, 0.121, 0; 0, 0, 0.044]
Angular velocity 2 deg/s for each axis
Initial quaternion (w.r.t. inertia) [0.9515 0.0381 0.1893 0.2393]
Docking port location 0.1 m in x-axis of body frame

Target Initial orbit state (w.r.t. inertia) [6828447 0 0 3.96 4745 5987] m, m/s
Mass 10 kg
Docking port location –0.1 m in x-axis of body frame

Controller MPC N 50
Q [3 × 10–5 , 10–3 , 10–3, 1, 1, 1]
R [0.5 × 10–2, 0.1 × 10–2, 0.1 × 10–2]

PD Natural frequency 0.0026
Damping ratio 1.78

Simulation setup Final position and velocity [0 0 0] m, [0 0 0] m/s
Simulation time 5,000 sec
PD, proportional-derivative.