Abstract
We studied the orbital evolution of the observed comets of the Jupiter family close to Earth (which means those that presents a perihelion distance q < 1.3 AU) and its effect on the evolution of whole Jupiter family. The study of the evolution is taken in a period of time of +/-1000 years centered on the present. The obtained results of the dynamic evolution will be presented and discussed using non-gravitational forces of the model induced by Marsden et al. (1973,AJ 78,211) with purely gravitational results. It's shown how the non-gravitational forces wont have major effect on the evolution of these comets. Also it's presented the asymmetry past-future observed on the evolution of the average of the perihelion of the group of comets. This asymmetry might be caused by a particular point of phase-space, in which the comets meets or by a observational vias due to the instrumental limitation.