Abstract: | The aim of the paper is to study the long term evolution of comet Halleys orbit taking into account small errors in the initial conditions. Recent papers deal with mapping methods to model cometary dynamics; (e.g. Petrosky and Broucke, 1987 and Chirikov and Vecheslavov, 1986). They will be discussed critically and compared with our own results. We then tested the model using numerical integration methods. For the moment we limited our calculation to 2.105 years, but a 106 year integration is still in progress. We show the expected dynamical evolution of Hallyes orbit taking into account also smaller and larger errors of the initial conditions (nongravitational effects are only roughly estimated). Finally we discuss alsothe controversal opinions concerning the role of the planets (especially the earth). |