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Description
  • The classical Opik theory provides an estimate of the collision probability between two bodies on bound, heliocentric or planetocentric orbits under restrictive assumptions of: (i) constant eccentricity and inclination, and (ii) uniform circulation of the longitude of node and argument of pericenter. These assumptions are violated whenever either of the orbits has a large inclination with respect to the local Laplace plane or large eccentricity, and their motion is perturbed by an exterior (tidal) gravitational field of a planet or the Sun. In this situation, known as the Lidov-Kozai regime, the eccentricity and inclination values exhibit large and correlated oscillations. At the same time, the longitude of node and the argument of pericenter may have strongly nonlinear time evolution, with the latter being even bound to a small interval of values. Here we develop a new Opik-type collision probability theory which is valid even for highly inclined and/or eccentric orbits of the projectile. We assume that the orbit of the target is circular and in the local Laplace plane. Such a generalized setting is necessary, as an example, to correctly estimate the terrestrial impact fluxes of sporadic micrometeoroids on high-inclination orbits (notably those from the toroidal source and the associated helion and anti-helion arcs). (c) 2012 Elsevier Inc. All rights reserved.
  • The classical Opik theory provides an estimate of the collision probability between two bodies on bound, heliocentric or planetocentric orbits under restrictive assumptions of: (i) constant eccentricity and inclination, and (ii) uniform circulation of the longitude of node and argument of pericenter. These assumptions are violated whenever either of the orbits has a large inclination with respect to the local Laplace plane or large eccentricity, and their motion is perturbed by an exterior (tidal) gravitational field of a planet or the Sun. In this situation, known as the Lidov-Kozai regime, the eccentricity and inclination values exhibit large and correlated oscillations. At the same time, the longitude of node and the argument of pericenter may have strongly nonlinear time evolution, with the latter being even bound to a small interval of values. Here we develop a new Opik-type collision probability theory which is valid even for highly inclined and/or eccentric orbits of the projectile. We assume that the orbit of the target is circular and in the local Laplace plane. Such a generalized setting is necessary, as an example, to correctly estimate the terrestrial impact fluxes of sporadic micrometeoroids on high-inclination orbits (notably those from the toroidal source and the associated helion and anti-helion arcs). (c) 2012 Elsevier Inc. All rights reserved. (en)
Title
  • Opik-type collision probability for high-inclination orbits
  • Opik-type collision probability for high-inclination orbits (en)
skos:prefLabel
  • Opik-type collision probability for high-inclination orbits
  • Opik-type collision probability for high-inclination orbits (en)
skos:notation
  • RIV/00216208:11320/12:10129183!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA205/08/0064), P(GD205/08/H005), Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 156700
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10129183
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Interplanetary dust; Asteroids; Impact processes; Celestial mechanics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [AC4AD42610C4]
http://linked.open...i/riv/nazevZdroje
  • Icarus
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 219
http://linked.open...iv/tvurceVysledku
  • Pokorný, Petr
  • Vokrouhlický, David
  • Nesvorny, David
http://linked.open...ain/vavai/riv/wos
  • 000306541000014
http://linked.open...n/vavai/riv/zamer
issn
  • 0019-1035
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.icarus.2012.02.021
http://localhost/t...ganizacniJednotka
  • 11320
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