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UID:0-196@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20230327T133000

DTEND;TZID=Asia/Jerusalem:20230327T143000

DTSTAMP:20230319T135036Z

URL:https://aerospace.technion.ac.il/events/distribution-of-families-of-pe
 riodic-orbits-of-the-hills-problem-and-some-applications-to-space-mission-
 design/

SUMMARY:Distribution of families of periodic orbits of the Hill’s problem
   and some applications to space mission design
DESCRIPTION:Lecturer:Alexander Batkhin\n Faculty: Singular Problems Departm
 ent of Keldysh Institute of Applied Mathematics of RAS (KIAM)\, Moscow and
  Department of Theoretical Mechanics\n Institute:Moscow Institute of Physi
 cs and Technology (MIPT)\, Dolgoprudny\, Russia.\n Location:Classroom 165\
 , ground floor\, Library\, Aerospace Eng\n Zoom: https://technion.zoom.us/
 j/99737294922\n Abstract: Hill's variant of the restricted there-body prob
 lem is one of the most important models in Celestial Mechanics and astrody
 namics\, with various applications in spacecraft mission design. In this t
 alk we discuss some statistics of distributions of families of the Hill's 
 problem periodic orbits by symmetry types and by global multiplicities. De
 scription of singular generating solutions method is provided as well. Eac
 h generating solution is a finite sequence composed according to certain r
 ules from a countable set of arcs of two types\, joined at the origin of c
 oordinates with hyperbolic conics.  Generating solution provides informat
 ion on symmetry type\, global multiplicity of the orbit and other characte
 ristics of the corresponding periodic solutions of the generated family. A
 ccording to obtained statistics it can be possible to state that families 
 of symmetric periodic orbits of the Hill's problem form such a backbone of
  regular dynamics of the Hill problem. Some applications of obtained resul
 ts to constructing periodic orbits with prescribed properties are discusse
 d as well.\n Details: \n 
CATEGORIES:Seminars
LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng

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