Under the classical non-relativistic consideration of the space-time we propose the model of the laws of gravity and Electrodynamics, invariant under the galilean transformations and moreover, under every change of non-inertial cartesian coordinate system. Being in the frames of non-relativistic model of the space-time, we adopt some general ideas of the General Theory of Relativity, like the a...

Today GPS aided inertial navigation is widely used and well studied in any aspects. The good short term properties of inertial data are complemented by the long term stability of the GPS signal. A common approach is to use a Kalman filter for fusing GPS and inertial data to constrain the inertial sensor drift. Although this is working well in many applications there is a need to find a similar ...