[institut] Seminar Ivan Hristov, 11. Oct., 12:00

[Veljko Dmitrasinovic]

Dear colleagues,

You are cordially invited to the lecture by prof. dr. Ivan Hristov,
Faculty of Mathematics and Informatics, Sofia University, Sofia, 
Bulgaria,
organized by the COE for non-equilibrium processes, which will be held
on Wednesday, 11th October 2023, at 12:00 in the library room "Dragan 
Popović",
Institute of Physics.

The title of the talk is:
"Computing periodic orbits for the planar three-body problem with 
Newton's method"

Abstract of the talk:

In this seminar Newton's method for computing high-precision periodic 
orbits for the planar three-body problem will be discussed [1]. 
Symmetric initial configuration with parallel velocities [2] and the 
free-fall initial configuration [3,4] are considered. We solve the 
system of ODEs with the multiple precision high-order Taylor series 
method [5]. A modification of the method with better convergence 
properties is also introduced.

References:
[1] Abad, A. , Barrio R. , and Angeles Dena. "Computing periodic orbits 
with arbitrary precision." Physical review E 84.1 (2011): 016701.
[2] I. Hristov, R. Hristova, I. Puzynin, T. Puzynina, Z. Sharipov and Z. 
Tukhliev. “Hundreds of new satellites of figure-eight orbit computed 
with high precision“, arXiv:2203.02973v3 [math.NA]
[3] I. Hristov, R. Hristova, Veljko Dmitrašinović and Kiyotaka Tanikawa. 
“Three-body periodic collisionless equal-mass free-fall orbits 
revisited“, arXiv:2308.16159v1 [physics.class-ph];
[4] Matthew Sparkes, https://www.newscientist.com/article/2390230-
mathematicians-find-12000-solutions-for-fiendish-three-body-problem/
[5] Barrio, R., Rodríguez, M., Abad, A., Blesa, F "Breaking the limits: 
the Taylor series method." Applied mathematics and computation 217.20 
(2011): 7940-7954.

Best regards,
Veljko Dmitrašinović,
COE for non-equilibrium processes

-- 
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Pregrevica 118, 11080 Belgrade, Serbia
http://www.ipb.ac.rs/