Inertial navigation equations based on relativistic effects
Abstract
The problem of inertial navigation for the case of movement of a small deformable particle is considered as a problem of fluid mechanics concerning—in the framework of STR and GTR—calculation of mechanical characteristics in the coordinate system of an observer in accordance with the data of measurements of kinematic characteristics in the proper inertial coordinate system. The general solution of this problem for an arbitrary movement of the center of a small particle with rotation and deformation is given.
 Publication:

Acta Astronautica
 Pub Date:
 April 1977
 DOI:
 10.1016/00945765(77)900480
 Bibcode:
 1977AcAau...4..231S
 Keywords:

 Inertial Navigation;
 Kinematic Equations;
 Particle Motion;
 Relativistic Effects;
 Three Dimensional Motion;
 Air Navigation;
 Body Kinematics;
 Computer Techniques;
 Deformation;
 Equations Of Motion;
 Fluid Mechanics;
 Lorentz Transformations;
 Matrices (Mathematics);
 Space Communications, Spacecraft Communications, Command and Tracking