Systems and methods for guiding a vehicle and vehicle sensor bias determination methods are disclosed. A method for guiding a vehicle includes a primary antenna of a primary survey-grade GNSS-receiver and a secondary antenna of a secondary GNSS-receiver mounted to the vehicle, which are at least temporarily receiving GNSS-signals of a global positioning system. A plurality of physical sensors mounted to the vehicle generate physical data indicative of respective measured physical parameters of at least part of the vehicle. The method includes de-biasing the physical data and applying a recursive statistical estimator, such as a Kalman filter, to the de-biased physical data and an output of the primary and secondary GNSS-receivers to determine a position and velocity of the vehicle.