Small divisors in the solar system

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dc.contributor.authorZhivkov, Angel
dc.date.accessioned2024-07-12T20:59:36Z
dc.date.available2024-07-12T20:59:36Z
dc.date.issued2019en_US
dc.departmentMaltepe Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesien_US
dc.description.abstractConsider the Sun, Mercury, Venus, Earth+Moon, Mars, Jupiter, Saturn, Uranus and Neptune as point masses, moving according Newton’s inverse–square law of gravitation. Poincar´e proved [1] that the general solution of the N–body problem can be expressed as a formal Fourier series. But Poincar´e also proved that such a series generally diverges. This happens because some small divisors appear when we apply the method of variation of arbitrary constants [2, 3]. A divisor which may vanish during the next 1010 years we define as a small divisor. For each pair of planets, there always exists a principal small divisor which could spoil the stability of their orbits after certain time. Finally we estimate the impact of the small divisors to conclude that they would not destroy the stability of the solar system at least for the next 1010 years.en_US
dc.identifier.citationZhivkov, A. (2019). Small divisors in the solar system. International Conference of Mathematical Sciences (ICMS 2019). s. 162.en_US
dc.identifier.endpage163en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage162en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/3319
dc.institutionauthorZhivkov, Angel
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rightsCC0 1.0 Universal*
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01380
dc.subjectSmall divisorsen_US
dc.subjectPerturbationsen_US
dc.titleSmall divisors in the solar systemen_US
dc.typeArticle
dspace.entity.typePublication

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