Institute of Physics, NAS of Belarus, Belarus

The goal of the present paper is to investigate the non -relativistic approximation in the 50-component theory for a spin 2 particle with an anomalous magnetic moment, taking into account external electromagnetic fields and curved space-time background. For distinguishing the large and small parts in the complete wave function, we use three projective operators constructed on the base of the minimal polynomial of the matrix $\Gamma^0$ in relativistic equation. The relevant large and small components are found in explicit form. We have derived the non-relativistic equation for a 5-component wave function; in which term describing interaction of the basic moment and an adition due to the anonmalous magnetic moment of the particle with the external magnetic field is separated. Also we detail geometrical interaction terms depending on the Ricci rotation coefficients.