Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

Titolo:
Symmetric constellations of satellites around a massive body: a Γ-convergence approach
Quando:
24.10.2019 14.30 h
Dove:
Palazzo Campana - Torino
Aula:
Aula 5
Relatore:
Dott. Marco Fenucci
Afferenza:
Università di Pisa
Proponente:
S. Terracini
Locandina:
Locandina

Descrizione

We take into account a system of (N + 1) particles, where N of them have mass m and

the remaining one has mass M >> m, which interact through the α-homogeneous potential of

type U(r) = 1/r^α.

Here r is the distance between two particles and α ∈ [1, 2). The massive particle stays

fixed at the center of mass, playing the role of a planet. Imposing symmetry and topological

constraints, periodic orbits for the small particles can be found as minimizers of the Lagrangian

action. Moreover, as the mass M increases, we prove that the Lagrangian action Γ-converges

to the action of a Kepler problem.

We discuss some examples with different symmetry groups, namely Z2N , Z2 × Z2 and the

rotation groups of the Platonic polyhedra. Here we are able to find sequences of collision-free

minimizers, depending on the value M of the central mass, and we shall see how Γ-convergence

theory helps in understanding the asymptotic behaviour for M → +∞.

Sede

Mappa
Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto, 10
Cap:
10123
Città:
Torino
Provincia:
To
Paese:
Paese: it

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino