J. E. Bortz, “A New Mathematical Formulation for Strap- down Inertial Navigation,” IEEE Transactions on Aero- space and Electronic Systems, Vol. AES-7, No. 1, 1971, pp. 61-66. doi:10.1109/TAES.1971.310252

has been cited by the following article:

• TITLE: Strapdown Navigation Using Geometric Algebra: Screw Blade Algorithm

  AUTHORS: Dimin Wu, Zhengzhi Wang

  KEYWORDS: Inertial Navigation; Geometric Algebra; Screw Blade; Bortz Equation

  JOURNAL NAME: Positioning, Vol.3 No.2, June 4, 2012

  ABSTRACT: The rigid body motion can be represented by a motor in geometric algebra, and the motor can be rewritten as a trinometric function of the screw blade. In this paper, a screw blade strapdown inertial navigation system (SDINS) algorithm is developed. The trigonometric function form of the motor is derived and utilized to deduce the Bortz equation of the screw blade. The screw blade SDINS algorithm is proposed by using the procedure similar to that of the conventional rotation vector attitude updating algorithm. The superiority of the screw blade algorithm over the conventional ones in precision is analyzed. Simulation results reveal that the screw blade algorithm is more suitable for the high-pre- cision SDINS than the conventional ones.