Symplectic map description of Halley's comet dynamics

We determine the two-dimensional symplectic map describing 1P/Halley chaotic dynamics. We compute the Solar system kick function, i.e. the energy transfer to 1P/Halley along one passage through the Solar system. Each planet contribution to the Solar system kick function appears to be the sum of a Keplerian potential and of a rotating gravitational dipole potential due to the Sun movement around Solar system barycenter. The Halley map gives a reliable description of comet dynamics on time scales of 10(4) yr while on a larger scales the parameters of the map are slowly changing due to slow oscillations of orbital momentum. (C) 2015 Elsevier B.V. All rights reserved.