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In this paper 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 ν6, ν5 and ν16, and pictures illustrating the secular motion are obtained. The peculiarities of the ν5 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 Ch. Froeschlé and H. Scholl are discussed in the light of the new theoretical results. New numerical experiments on the ν6 resonance are also presented.