BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Departamento de Matemática - ECPv6.16.3//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Departamento de Matemática
X-ORIGINAL-URL:https://dmat.ciencias.ubiobio.cl
X-WR-CALDESC:Eventos para Departamento de Matemática
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:America/Santiago
BEGIN:STANDARD
TZOFFSETFROM:-0300
TZOFFSETTO:-0400
TZNAME:-04
DTSTART:20200405T030000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0400
TZOFFSETTO:-0300
TZNAME:-03
DTSTART:20200906T040000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0300
TZOFFSETTO:-0400
TZNAME:-04
DTSTART:20210404T030000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0400
TZOFFSETTO:-0300
TZNAME:-03
DTSTART:20210905T040000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0300
TZOFFSETTO:-0400
TZNAME:-04
DTSTART:20220403T030000
END:STANDARD
BEGIN:DAYLIGHT
TZOFFSETFROM:-0400
TZOFFSETTO:-0300
TZNAME:-03
DTSTART:20220911T040000
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/Santiago:20210414T190000
DTEND;TZID=America/Santiago:20210414T190000
DTSTAMP:20260617T075418
CREATED:20210412T185753Z
LAST-MODIFIED:20210412T185753Z
UID:2027-1618426800-1618426800@dmat.ciencias.ubiobio.cl
SUMMARY:Coloquio Estudiantes de Postgrado
DESCRIPTION:Este miércoles inicia el Coloquio de Estudiantes de Postgrado en Matematica y Ciencias aplicadas UBB con la charla del reciente Magister de nuestro departamento Mg. Edward Turner. \nReduction and Relative Equilibria in Full Gravitational N-Body Problem\nExpositor : M. Sc. Edward Allan David Turner Vilches\nInstitucion : Universidad del Bío-Bío\, Concepción\, Chile\nF echa : Miércoles 14 de abril de 2021\nLugar : Zoom meeting (ID 821 7483 4254\, Password 484062)\nEnlace : zoom\nHora : 19:00PM -20:00 PM (Santiago Time). \n  \n  \n\nAbstract. We study the rota-orbital dynamics of N finite well-defined bodies under gravitational inter- action. This problem is known as the full gravitational N-body problem obtained after elimi- nating the assumption of punctual masses in the classical N-body problem. We prove that the Newton-Euler equations of motion for this problem are Hamiltonian.\nUsing the natural symmetries\, translations\, and rotations\, we reduce by six the number of degrees of freedom. Moreover\, we compute the reduced spaces\, and we show that the translational-reduced space and the rotational-reduced space are both given as non-canonical Hamiltonian systems. Furthermore\, we give a detailed description of the generated Poisson structure at each stage of the reduction process. Our analysis found that the total angular momentum and the orthogonality conditions of SO(3) are the Casimir functions. By considering the translational-rotational-reduced equations of motion\, we characterize the relative equilibria and also classify them into two main categories; Parallel and Non-Parallel equilibria.\nAmong the parallel equilibria\, we and the clas- sical Lagrangean and non-Lagrangean equilibria. For N>2\, there is one more new type of equilibria which will be dubbed semi-Lagrangean\, the latter being original from this research. \nkeywords: Rigid body\, reduction\, relative equilibria and roto-orbital dynamics. \n\ncoloquio-cemca_-turner2021
URL:https://dmat.ciencias.ubiobio.cl/event/coloquio-estudiantes-de-postgrado/
ATTACH;FMTTYPE=image/jpeg:https://dmat.ciencias.ubiobio.cl/wp-content/uploads/2021/04/IMG_1620.jpg
END:VEVENT
END:VCALENDAR