作品相關 對火星軌道變化問題的最後解釋

作者君在作品相關中其實已經解釋過這個問題。

不過仍然有人質疑「你說得太含糊了」,「火星軌道的變化比你想像要大得多!」

那好吧,既然作者君的簡單解釋不夠有力,那咱們就看看嚴肅的東西,反正這本書寫到現在,嚷嚷著本書bug一大堆,用初高中物理在書中挑刺的人也不少。

以下是文章內容:

long-term integrations and stabilityplaary orbitsour solar system

abstract

we present the resultsvery long-term numerical integrationsplaary orbital motions over 109 -yr time-spans including all nin inspectionour numerical data shows that the plaary motion,leastour simple dynamical model, seemsbe quite stable even over this very lon lookthe lowest-frequency oscillations using a low-pass filter showsthe potentially diffusive characterterrestrial plaary motion, especially that o behaviourthe eccentricitymercuryour integrationsqualitatively similarthe results from jacques laskar''s secular perturbation theory (e.g. emax 0.35 over ± 4 gyr). however, there areapparent secular increaseseccentricityinclinationany orbital elementsthe plas, which mayrevealedstill longer-term numerical i have also performed a coupletrial integrations including motionsthe outer five plas over the duration± 5 x 1010 yr. the result indicates that the three major resonancesthe neptunepluto system have been maintained over the 1011-yr time-span.

1 introduction

1.1definitionthe problem

the questionthe stabilityour solar system has been debated over several hundred years, since the era o problem has attracted many famous mathematicians over the years and has played a central rolethe developmentnon-linear dynamics and chao,do not yet have a definite answerthe questionwhether our solar systemstable opartly a resultthe fact that the definitionthe term 『stability』vague whenis usedrelationthe problemplaary motionthe solais not easygive a clear, rigorous and physically meaningful definitionthe stabilityour solar system.

among many definitionsstability, hereadopt the hill definition (gladman 1993): actually thisnot a definitionstability, but define a systembeing unstable when a close encounter occurs somewherethe system, starting from a certain initial configuration (chambers, wetherill & boss 1996; ito & tanikawa 1999). a systemdefinedexperiencing a close encounter when two bodies approach one another withinareathe larger hil the systemdefinedbeinstate that our plaary systemdynamically stableno close encounter happens during the ageour solar system, about ±, this definition mayreplacedonewhichoccurrenceany orbital crossing between eithera pairplas takebecauseknow from experience thatorbital crossingvery likelyleada close encounterplaary and protoplaary systems (yoshinaga, kokubo & makino 1999).course this statement cannotsimply appliedsystems with stable orbital resonances suchthe neptunepluto system.

1.2previous studies and aimsthis research

in additionthe vaguenessthe conceptstability, the plasour solar system show a character typicaldynamical chaos (sussman & wisdom 1988, 1992). the causethis chaotic behaviournow partly understoodbeing a resultresonance overlapping (murray & holman 1999; lecar, franklin & holman 2001). however,would require integrating overensembleplaary systems including all nine plas for a period covering severalgyrthoroughly understand the long-term evolutionplaary orbits, since chaotic dynamical systems are characterizedtheir strong dependenceinitial conditions.

from that pointview, manythe previous long-term numerical integrations included only the outer five plas (sussman & wisdom 1988; kinoshita & nak

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