Inertial navigation equations and the quaternion space-time theory
2007jaq | V. F. Chub  // Korolev Rocket-Space Corporation ``Energiya'', Russia

The comparative analysis of relativistic and nonrelativistic inertial navigation equations in space free of gravitational field was performed in review. In order to represent the equations, the use is made of the quaternions with real, dual, complex and complex-dual factors. Within the theory based upon the quaternions with complex-dual factors (the quaternion space-time theory) it was demonstrated that the transformations forming in the context of a special relativity theory Poincare group and in the context of classical Newton mechanics Galilei group were open. The inertial navigation equation consistent with the quaternion space-time theory was given and its absurdity was noted.

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