Inadditiontothevaguenessoftheconceptofstability, theplanetsinourSolarsystemshowacharactertypicalofdynamicalchaos (Sussman & Wisdom1988, 1992).Thecauseofthischaoticbehaviourisnowpartlyunderstoodasbeingaresultofresonanceoverlapping (Murray & Holman1999; Lecar, Franklin & Holman2001).However, itwouldrequireintegratingoveranensembleofplanetarysystemsincludingallnineplanetsforaperiodcoveringseveral10Gyrtothoroughlyunderstandthelong-termevolutionofplanetaryorbits, sincechaoticdynamicalsystemsarecharacterizedbytheirstrongdependenceoninitialconditions.
Fromthatpointofview, manyofthepreviouslong-termnumericalintegrationsincludedonlytheouterfiveplanets (Sussman & Wisdom1988; Kinoshita & Nakai1996)., thelongestnumericalintegrationspublishedinjournalsarethoseofDuncan & Lissauer (1998).Althoughtheirmaintargetwastheeffectofpost-main-sequencesolarmasslossonthestabilityofplanetaryorbits, & Lissauer'spaper, , theyfoundthatthecrossingtime-scaleofplanetaryorbits, whichcanbeatypicalindicatoroftheinstabilitytime-scale, , thejovianplanetsremainstableover1010yr, & Lissaueralsoperformedfoursimilarexperimentsontheorbitalmotionofsevenplanets (VenustoNeptune), , butitseemsthattheterrestrialplanetsalsoremainstableduringtheintegrationperiod, maintainingalmostregularoscillations.
