CAOSP abstracts, Volume: 36, No.: 1, year: 2006

Abstract: We answer the question, if a certain orbital inhomogenity of new comets coming to the zone of visibility from the Oort cloud, which was found by Neslušan & Jakubík in 2005 within a new model of the outer part of this comet reservoir, can influence the distribution of the reciprocal semi-major axis, 1/a, of long-period comets and, eventually, account for the fading problem. Our conclusion is that the inhomogenity has practically no influence on the 1/a distribution. The fading problem persists actual. According to our simulations, the theoretical 1/a distribution contains about 20 times more old comets (with 1/a > 1 × 10^-4 AU^-1) than are actually observed. The magnitude of the 1/a change due to the investigated Jupiter and Saturn perturbations is randomly distributed and can be described by the Gaussian function 0.0074 exp[-(1/a)²/2/(5.2 × 10^-4)²], when the total area under the curve is gauged to be unity.