Per a qualsevol qüestió o incidència que tingueu no dubteu en contactar amb els organitzadors: Pau Martín i Jezabel Curbelo (UPC), i/o Arturo Vieiro (UB)

Dia: Dimecres, 12 de juny de 2024

Lloc: Aula S01, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.- Hora: 16h00m

A càrrec de: Pau Roldan, UPC

Títol: Shortest transition time orbits near *L _{1}* in the Spatial RTBP

Resum: We consider the spatial restricted three-body problem, as a model for the motion of spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point *L _{1}* located between the Sun and the Earth.
We show that it is possible for the spacecraft to transition from an orbit that is nearly planar relative to the ecliptic, to an
inclined orbit, at zero energy cost. (And in fact it can transition through any prescribed sequence of inclinations).

We provide several explicit constructions of such orbits, and also develop an algorithm to design orbits that achieve the *shortest transition time*.

Our main new tool is the `Standard Scattering Map' (SSM), a semi-analytical representation of the scattering map originally introduced by Delshams, de la Llave and Seara. The SSM can be used in many other situations, from Arnold diffusion problems to transport phenomena in applications.

In collaboration with Amadeu Delshams (UPC, Barcelona) and Marian Gidea (Yeshiva University, NY).

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Last updated: Mon Jun 10 16:21:40 2024