Odeljenje za mehaniku, 10. maj 2023.

Naredni sastanak Seminara biće održan u sredu, 10. maja 2023, u sali 301f Matematičkog instituta SANU sa početkom u 18 časova.

Predavači: Prof. Dr. Vladimir Titov, Faculty of Mathematics and Mechanics of St.Petersburg University

Naslov predavanja: THE REGIONS OF POSSIBLE MOTION IN GENERAL THREE BODY PROBLE

Apstrakt: The regions of possible motion of the general planar three-body problem are constructed in the form space, the factor-space (or quotient space) of the configuration space of the problem by transfers and rotations. The integral of energy in the form space gives the equation of zero velocity surface. These surfaces separate regions of possible motion from regions where motion is impossible. These surfaces can also be obtained based on the Sundman inequality. Without loss of generality, we assume that the constant energy is equal -1/2 and the desired surfaces depend only on the value of the angular momentum of the problem, Ј. Depending on this value, five topologically different types of surfaces can be distinguished. For small J, the surface consists of two separate surfaces, internal and external ones, the motion is possible only between them. Examples of the corresponding surfaces are given for each of the five types. Orbits suffering collisions are studied separately: collinear and isosceles orbits. Collisions occurring in such orbits require regularization. In the form space, it is natural to use Lemaitre regularization. In the regularized space, the “figure-eight” orbit is also considered.

Napomene: Seminar je moguće pratiti i onlajn. Predavanja možete pratiti na daljinu preko stranice: https://miteam.mi.sanu.ac.rs/asset/YfY2cZTcN3YwGqFjc

Registracija ѕa učešće na seminaru je dostupna na sledećoj stranici: https://miteam.mi.sanu.ac.rs/asset/o9cuDZYqrq7jvFxw8


 Ostavite vaš komentar 

Komentari(0)

Nažalost nije moguće ostaviti komentar.