Determination of the relative positioning based on magnetic gradiometry measurements

The paper is devoted to solving the problem of determining the relative spatial arrangement and orientation of objects. The task was set: to show the fundamental possibility of spatial and angular relative positioning when using the parameters of the magnetic field gradient in tensor form and in the form of gradient of an absolute value vector as measurement information for the magnetic field of a local dipole source. The solution of the problem is presented along with the features and limitations for both forms of representation are considered. The principles of construction of magnetic gradiometry measurement systems are briefly described, the limitations of technical implementation are considered, and the benefits of using an alternating magnetic field source is outlined. The results of modelling are presented, proving the possibility of using the proposed positioning method for various engineering problems.