Title:

                    The main secular resonances nu6, nu5 and nu16 in the asteroid belt
 Authors:

                    Morbidelli, Alessandro; Henrard, Jacques
 Affiliation:

                    AB(Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium)
 Journal:

                    Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 51, no. 2, 1991, p. 169-197.
                    Research supported by CEC. (CeMDA Homepage)
 Publication Date:

                    00/1991
 Category:

                    Astrophysics
 Origin:

                    STI
 NASA/STI Keywords:

                    ASTEROID BELTS, ORBITAL MECHANICS, ORBITAL RESONANCES (CELESTIAL
                    MECHANICS), PERTURBATION THEORY, ANALYTIC FUNCTIONS, COMPUTATIONAL
                    ASTROPHYSICS, COMPUTERIZED SIMULATION, PERIHELIONS
 Bibliographic Code:

                    1991CeMDA..51..169M
 

                                            Abstract

An analytical model, suitable for a global description of the dynamics in a secular resonance of order 1, is derived from the general
perturbation study developed in a previous paper (Morbidelli and Henrard, 1991). Such a model is then used to study the secular
resonances nu5, nu6, and nu16, and pictures illustrating the secular motion are obtained. The peculiarities of the nu5 resonances are
discussed in detail. The results are compared with those obtained by the theories of Yoshikawa and Nakai-Kinoshita. Some
numerical simulations performed by Froeschle and Scholl (1986, 1987, 1988, 1989, 1990), are discussed in the light of the new
theoretical results. New numerical experiments on the nu6 resonance are also presented.