Controlling a ship in a berthing operation is carried out mainly by the change of state, such
as velocity and yaw rate (turn rate), although the value of the change of state is very small
at berthing. Very high precision is, therefore, required to determine the velocity and angular
velocity. A sensor that has an accuracy of ±0.02°/s (1 σ) is sought for determination of turn
rate in a berthing system. Three-dimensional angular velocity can directly be determined,
with 2 independent baselines of 3 GPS antennas, using instantaneous Doppler measurements
or phase rate (temporal difference of phase) observations. This paper discusses the
mathematical model for direct determination of angular velocity using GPS, and the
comparison of the results of the angular velocity determination using the Doppler and phase
rate. The precision of angular velocity determination is estimated using temporal difference
of the attitude sensors (TSS and gyrocompass) on board a hydrographic sounding ship. The
RMS values of the difference of yaw rate determination between the two systems were:
±0.16°/s using phase rate and ±0.31°/s using Doppler measurements with the separation
of onboard antennas of ca. 1·34 m. 10 m baselines could satisfy the sensor requirements for
angular velocity determination during berthing maneuvers.