The magnetic method is one of the geophysical techniques that prevails in the detection and identification of Uneploaded Ordnance (UXO). Inversion of the magnetic data, allows us to recover the position and the magnetic dipole moment of the object. The typical use of a model is a sphere, though it does not
provide information about the shape of the object. This thesis focuses on modeling a prolate spheroid, that not only recovers the position and the magnetic moment moment, but also the orientation and the dimensions of body. The results were fairly similar, though the residuals in the case of the sphere were less than the ones of the spheroid. In addition, measurements of real UXOS were used to verify the code. The inversion yielded reasonable models in four cases, but did not manage to recover an accurate model for one them. Lastly, the octupole moment was modeled as well, though its contribution to the results was deemed negligible.