caa a22 4500 467987033 CHVBK 20180323112535.0 cr unu---uuuuu 170328e19900601xx s 000 0 eng 10.1007/BF00050709 doi (NATIONALLICENCE)springer-10.1007/BF00050709 Planetary close encounters: geometry of approach and post-encounter orbital parameters [Elektronische Daten] [A. Carusi, G. Valsechi, R. Greenberg] Öpik's assumptions on the geometry of particle trajectories leading to and through planetary close encounters are used to compute the distribution of changes in heliocentric orbital elements that result from such encounters for a range of initial heliocentric orbits. Behaviour at encounter is assumed to follow two-body (particle—planet) gravitational scattering, while before and after encounter particle motion is only governed by the force of the Sun. Derivation of these distributions allows precise analysis of the probability of various outcomes in terms of the physical characteristics of the bodies involved. For example, they allow an explanation and prediction of the asymmetry of the extreme energy perturbations for different initial orbits. The formulae derived here may be applied to problems including the original accumulation of planets and satellites, and the continuing evolution of populations of small bodies, such as asteroids and comets. Kluwer Academic Publishers, 1990 Carusi A. IAS-Reparto di Planetologia, Viale Università 11, 00185, Rome, Italy aut Valsechi G. IAS-Reparto di Planetologia, Viale Università 11, 00185, Rome, Italy aut Greenberg R. Lunar and Planetary Laboratory, University of Arizona, AZ 85721, Tucson, U.S.A. aut Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 49/2(1990-06-01), 111-131 0923-2958 49:2<111 1990 49 10569 https://doi.org/10.1007/BF00050709 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00050709 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Carusi A. IAS-Reparto di Planetologia, Viale Università 11, 00185, Rome, Italy aut NATIONALLICENCE 700 1- Valsechi G. IAS-Reparto di Planetologia, Viale Università 11, 00185, Rome, Italy aut NATIONALLICENCE 700 1- Greenberg R. Lunar and Planetary Laboratory, University of Arizona, AZ 85721, Tucson, U.S.A aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Kluwer Academic Publishers 49/2(1990-06-01), 111-131 0923-2958 49:2<111 1990 49 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer