Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Christos Efthymiopoulos"'
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 2, Pp 1-35 (2023)
We present a Kolmogorov-like algorithm for the computation of a normal form in the neighborhood of an invariant torus in 'isochronous' Hamiltonian systems, i.e., systems with Hamiltonians of the form $ {\mathcal{H}} = {\mathcal{H}}_0+\varepsilon {\ma
Externí odkaz:
https://doaj.org/article/86996f1692db41a1b9583694b7b1732a
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 2, Pp 359-377 (2019)
We investigate the long term evolution of trajectories in the Fermi-Pasta-Ulam (FPU) system, using as a probe the first non-trivial integral $J$ in the hierarchy of integrals of the corresponding Toda lattice model. To this end we perform simulations
Externí odkaz:
https://doaj.org/article/d1a14e9417384a41b68d8d09e04a4dd7
Publikováno v:
Celestial Mechanics and Dynamical Astronomy. 135
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92a4b032841c6d2efe2179a62977aaf5
https://doi.org/10.1007/s10569-023-10128-5
https://doi.org/10.1007/s10569-023-10128-5
We present a Kolmogorov-like algorithm for the computation of a normal form in the neighborhood of an invariant torus in 'isochronous' Hamiltonian systems, i.e., systems with Hamiltonians of the form $ {\mathcal{H}} = {\mathcal{H}}_0+\varepsilon {\ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4c75de67e7dc8bb26746c68a893e25b
http://arxiv.org/abs/2206.09711
http://arxiv.org/abs/2206.09711
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031131141
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::edef2337e89c5b70a07570d18a557cb6
https://doi.org/10.1007/978-3-031-13115-8_5
https://doi.org/10.1007/978-3-031-13115-8_5
Publikováno v:
Celestial Mechanics and Dynamical Astronomy
Despite extended past studies, several questions regarding the resonant structure of the medium-Earth orbit (MEO) region remain hitherto unanswered. This work describes in depth the effects of the $2g+h$ lunisolar resonance. In particular, (i) we com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af94671530157bbaae1d8823532c2191
We revisit the secular 3D planetary three-body problem, aiming to provide a unified formalism representing all basic phenomena in the phase space as the mutual inclination between the planetary orbits increases. We propose a ‘book-keeping’ techni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1d060c896968a9f395b118348a3dac9
Publikováno v:
Celestial Mechanics and Dynamical Astronomy
We propose a closed-form normalization method suitable for the study of the secular dynamics of small bodies in heliocentric orbits perturbed by the tidal potential of a planet with orbit external to the orbit of the small body. The method makes no u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a581795f4c4eed5f112313cc16b989c9
http://arxiv.org/abs/2110.14489
http://arxiv.org/abs/2110.14489
Publikováno v:
Proceedings of the International Astronomical Union. 15:191-196
We revisit the problem of the secular dynamics in two-planet systems in which the planetary orbits exhibit a high value of the mutual inclination. We propose a ‘basic hamiltonian model’ for secular dynamics, parameterized in terms of the system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::068199ee1d3aad6cc9b9ba66229acabb
https://doi.org/10.1017/s1743921321001368
https://doi.org/10.1017/s1743921321001368
Publikováno v:
Proceedings of the International Astronomical Union. 15:146-151
A powerful tool to investigate the stability of the orbits of natural and artificial bodies is represented by perturbation theory, which allows one to provide normal form estimates for nearly-integrable problems in Celestial Mechanics. In particular,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da201e1bf5145d005737e27997ad9194
https://doi.org/10.1017/s174392132100137x
https://doi.org/10.1017/s174392132100137x