Abstract
Batygin & Brown () suggested the existence of a new planet in our solar system that is supposed to be responsible for the perturbation of eccentric orbits of small outer bodies. The main challenge now is to detect and characterize this putative body. Here, we investigate the principles of the determination of its physical parameters, mainly its mass and radius. For that purpose, we concentrate on two methods: stellar occultations and gravitational microlensing effects (amplification, deflection, and time delay). We estimate the main characteristics of a possible occultation or gravitational effects: flux variation of a background star, duration, and probability of occurrence. We also investigate the additional benefits of direct imaging and of an occultation.
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