Abstract
This article describes the design, construction and calculation of the mathematical model of a homogeneous magnetic field, considering for this Helmholtz coil. Helmholtz coils consist of a pair of coils along one axis parallel to each other. By varying the distance, size, winding of these coils, it is enough to simulate a homogeneous magnetic field that simulates the real Earth's magnetic field in orbit. Circular and square coils, both with square cross section, are considered. Practical considerations such as wire selection, wire-wrapping efficiency, wire bending radius, choice of power supply, and inductance and time response are included. Numerical calculations of the magnetic flux density, the values of the magnetic field strength vectors in various directions are presented. The main goal of creating this simulator is to test the development of algorithms for orientation and control of the spacecraft, to improve the functioning of the components of the satellite in the Earth's orbit