Michel Henon's Generating Families in the Restricted Three-Body Problem: PDF

By Michel Henon

hereafter calledvolume the of In a quantity research earlier (H6non 1997, I), the limited initiated. households in challenge (We producing 3 physique was once recallthat households outlined asthe limits offamilies of include periodic producing determinationof orbitsfor Themain wasfoundto lieinthe four challenge p 0.) bifurcation wheretwo the betweenthebranches ata ormore orbit, junctions A solutionto this was once familiesof orbits intersect. partial challenge producing and sidesof theuseofinvariants: Manysimple symmetries passage. givenby within the evolution of the bifurcations may be solved during this means. specific, orbits be defined nearly 9 normal households of can thoroughly. periodic develop into i.e.when thenumber of asthe bifurcations morecomplex, besides the fact that, fails. the bifurcation orbit themethod households raises, passingthrough of This quantity describes one other to the a process challenge, consisting in of bifurcation ofthe households the a research region specific, quantitative utilized in Vol. I. orbit. This moreworkthan the calls for qualitativeapproach in at to discourage it has the of least, even if, virtue permitting us, precept branches Infact it morethanthat: minein allcaseshowthe are joined. provides just about all the 1st order we'll see in asymptotic approxima that, situations, the households within the ofthe bifurcation should be derived. tion of neighbourhood present in with This a comparability numerically permits, specific, quantitative households. and The eleven dealswiththerelevant definitions bankruptcy generalequations. of describedin 12 16.The ofbifurcations 1 is Chaps. examine variety quantitative it really is defined in 17 23. three of two ismore Chaps. variety research variety concerned; its hadnot been at thetime of isevenmore accomplished complicated; research but writing.

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Generating Families in the Restricted Three-Body Problem: II. Quantitative Study of Bifurcations: 2 (Lecture Notes in Physics Monographs) by Michel Henon

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