Inertial navigation systems with geodetic applications / / Christopher Jekeli.

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Bibliographic Details
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Place / Publishing House:Berlin ;, New York : : Walter de Gruyter,, 2001.
Year of Publication:2001
Language:English
Online Access:
Physical Description:1 online resource (368 pages) :; illustrations
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Table of Contents:
  • Coordinate Frames and Transformations
  • Coordinate Frames
  • Inertial Frame
  • Earth-Centered-Earth-Fixed Frame
  • Navigation Frame
  • Transformations
  • Direction Cosines
  • Euler Angles
  • Quaternions
  • Axial Vectors
  • Angular Rates
  • Differential Equation of the Transformation
  • Specific Coordinate Transformations
  • Fourier Transforms
  • Ordinary Differential Equations
  • Linear Differential Equations
  • General Solution of Linear Differential Equations
  • Homogeneous Solution
  • An Example
  • Fundamental Set of Solutions
  • Particular Solution
  • The Example, Continued
  • Numerical Methods
  • Runge-Kutta Methods
  • Numerical Integration of Functions
  • Inertial Measurement Units
  • Gyroscopes
  • Mechanical Gyroscopes
  • SDF Gyro
  • Principal Error Terms
  • TDF Gyro
  • Optical Gyroscopes
  • Ring Laser Gyro
  • RLG Error Sources
  • Fiber-Optic Gyro
  • FOG Error Sources
  • Accelerometer
  • Accelerations in Non-Intertial Frames
  • Force-Rebalance Dynamics
  • Pendulous Accelerometer Examples
  • Vibrating Element Dynamics
  • Error Sources
  • Intertial Navigation System
  • Mechanizations
  • Space-Stabilized Mechanization
  • Local-Level Mechanization
  • Schuler Tuning
  • Wander Azimuth Mechanization
  • Strapdown Mechanization
  • Numerical Determination of the Transformation Matrix
  • A Second-Order Algorithm
  • A Third-Order Algorithm
  • Specializations
  • Navigation Equations
  • Unified Approach
  • Navigation Equations in i-Frame
  • Navigation Equations in e-Frame
  • Navigation Equations in n-Frame.