Matches in SemOpenAlex for { <https://semopenalex.org/work/W2474781811> ?p ?o ?g. }
- W2474781811 endingPage "48" @default.
- W2474781811 startingPage "29" @default.
- W2474781811 abstract "We consider the spatial circular restricted three-body problem, on the motion of an infinitesimal body under the gravity of Sun and Earth. This can be described by a 3-degree of freedom Hamiltonian system. We fix an energy level close to that of the collinear libration point L1, located between Sun and Earth. Near L1 there exists a normally hyperbolic invariant manifold, diffeomorphic to a 3-sphere. For an orbit confined to this 3-sphere, the amplitude of the motion relative to the ecliptic (the plane of the orbits of Sun and Earth) can vary only slightly. We show that we can obtain new orbits whose amplitude of motion relative to the ecliptic changes significantly, by following orbits of the flow restricted to the 3-sphere alternatively with homoclinic orbits that turn around the Earth. We provide an abstract theorem for the existence of such ‘diffusing’ orbits, and numerical evidence that the premises of the theorem are satisfied in the three-body problem considered here. We provide an explicit construction of diffusing orbits. The geometric mechanism underlying this construction is reminiscent of the Arnold diffusion problem for Hamiltonian systems. Our argument, however, does not involve transition chains of tori as in the classical example of Arnold. We exploit mostly the ‘outer dynamics’ along homoclinic orbits, and use very little information on the ‘inner dynamics’ restricted to the 3-sphere. As a possible application to astrodynamics, diffusing orbits as above can be used to design low cost maneuvers to change the inclination of an orbit of a satellite near L1 from a nearly-planar orbit to a tilted orbit with respect to the ecliptic. We explore different energy levels, and estimate the largest orbital inclination that can be achieved through our construction." @default.
- W2474781811 created "2016-07-22" @default.
- W2474781811 creator A5032442245 @default.
- W2474781811 creator A5052889764 @default.
- W2474781811 creator A5084028602 @default.
- W2474781811 date "2016-11-01" @default.
- W2474781811 modified "2023-10-10" @default.
- W2474781811 title "Arnold’s mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument" @default.
- W2474781811 cites W1486655024 @default.
- W2474781811 cites W1543942747 @default.
- W2474781811 cites W1593388043 @default.
- W2474781811 cites W1635990988 @default.
- W2474781811 cites W1966974231 @default.
- W2474781811 cites W1972766133 @default.
- W2474781811 cites W1973189438 @default.
- W2474781811 cites W1976541704 @default.
- W2474781811 cites W2002898889 @default.
- W2474781811 cites W2006428732 @default.
- W2474781811 cites W2008717493 @default.
- W2474781811 cites W2010267116 @default.
- W2474781811 cites W2018226660 @default.
- W2474781811 cites W2024812061 @default.
- W2474781811 cites W2034620513 @default.
- W2474781811 cites W2036685798 @default.
- W2474781811 cites W2038335296 @default.
- W2474781811 cites W2042409081 @default.
- W2474781811 cites W2061251427 @default.
- W2474781811 cites W2061396093 @default.
- W2474781811 cites W2066291207 @default.
- W2474781811 cites W2068288118 @default.
- W2474781811 cites W2084004466 @default.
- W2474781811 cites W2087723889 @default.
- W2474781811 cites W2090335219 @default.
- W2474781811 cites W2137208105 @default.
- W2474781811 cites W2144370840 @default.
- W2474781811 cites W2150429134 @default.
- W2474781811 cites W2152447338 @default.
- W2474781811 cites W2167309987 @default.
- W2474781811 cites W2962823735 @default.
- W2474781811 cites W2963152057 @default.
- W2474781811 cites W2964207109 @default.
- W2474781811 cites W4230569617 @default.
- W2474781811 cites W4255200020 @default.
- W2474781811 cites W826409682 @default.
- W2474781811 doi "https://doi.org/10.1016/j.physd.2016.06.005" @default.
- W2474781811 hasPublicationYear "2016" @default.
- W2474781811 type Work @default.
- W2474781811 sameAs 2474781811 @default.
- W2474781811 citedByCount "13" @default.
- W2474781811 countsByYear W24747818112016 @default.
- W2474781811 countsByYear W24747818112017 @default.
- W2474781811 countsByYear W24747818112018 @default.
- W2474781811 countsByYear W24747818112019 @default.
- W2474781811 countsByYear W24747818112020 @default.
- W2474781811 countsByYear W24747818112021 @default.
- W2474781811 crossrefType "journal-article" @default.
- W2474781811 hasAuthorship W2474781811A5032442245 @default.
- W2474781811 hasAuthorship W2474781811A5052889764 @default.
- W2474781811 hasAuthorship W2474781811A5084028602 @default.
- W2474781811 hasBestOaLocation W24747818111 @default.
- W2474781811 hasConcept C121332964 @default.
- W2474781811 hasConcept C121770821 @default.
- W2474781811 hasConcept C134306372 @default.
- W2474781811 hasConcept C140619461 @default.
- W2474781811 hasConcept C158622935 @default.
- W2474781811 hasConcept C180205008 @default.
- W2474781811 hasConcept C184481792 @default.
- W2474781811 hasConcept C200581526 @default.
- W2474781811 hasConcept C27638517 @default.
- W2474781811 hasConcept C2781349735 @default.
- W2474781811 hasConcept C33923547 @default.
- W2474781811 hasConcept C34725247 @default.
- W2474781811 hasConcept C50429861 @default.
- W2474781811 hasConcept C59108619 @default.
- W2474781811 hasConcept C62520636 @default.
- W2474781811 hasConcept C74650414 @default.
- W2474781811 hasConceptScore W2474781811C121332964 @default.
- W2474781811 hasConceptScore W2474781811C121770821 @default.
- W2474781811 hasConceptScore W2474781811C134306372 @default.
- W2474781811 hasConceptScore W2474781811C140619461 @default.
- W2474781811 hasConceptScore W2474781811C158622935 @default.
- W2474781811 hasConceptScore W2474781811C180205008 @default.
- W2474781811 hasConceptScore W2474781811C184481792 @default.
- W2474781811 hasConceptScore W2474781811C200581526 @default.
- W2474781811 hasConceptScore W2474781811C27638517 @default.
- W2474781811 hasConceptScore W2474781811C2781349735 @default.
- W2474781811 hasConceptScore W2474781811C33923547 @default.
- W2474781811 hasConceptScore W2474781811C34725247 @default.
- W2474781811 hasConceptScore W2474781811C50429861 @default.
- W2474781811 hasConceptScore W2474781811C59108619 @default.
- W2474781811 hasConceptScore W2474781811C62520636 @default.
- W2474781811 hasConceptScore W2474781811C74650414 @default.
- W2474781811 hasFunder F4320306076 @default.
- W2474781811 hasLocation W24747818111 @default.
- W2474781811 hasLocation W24747818112 @default.
- W2474781811 hasOpenAccess W2474781811 @default.
- W2474781811 hasPrimaryLocation W24747818111 @default.
- W2474781811 hasRelatedWork W1979794710 @default.