The vicinity of Jupiter: A region to look for comets

Low-relative velocity and long-lasting encounters can dramatically change the orbital elements of a comet; the object could be temporarily bound to Jupiter for a period of several years. It is well stated that most of the discoveries of comets occurred just after a close encounter with the planet and a decrease of the perihelion distance of the comet. So, why don't we look for comets during close encounters with Jupiter rather than waiting to find them afterwards? To estimate the feasibility of this proposal, dynamical computations and observational analysis of the Jupiter family of comets were made. A criterion to distinguish comets during an encounter from other moving objects in the field is discussed.