Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem
We investigate the question whether or not the orbitals of exoplanets follow the symmetry-governed sequence found by Barut from the dynamical group of the Kepler problem. In particular, we consider their star distances, periods, and velocities. Previous studies have shown the validity of this regula...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-11-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/12/2114 |
| _version_ | 1797379277269762048 |
|---|---|
| author | József Cseh Phong Dang Sándor Szilágyi Géza Lévai |
| author_facet | József Cseh Phong Dang Sándor Szilágyi Géza Lévai |
| author_sort | József Cseh |
| collection | DOAJ |
| description | We investigate the question whether or not the orbitals of exoplanets follow the symmetry-governed sequence found by Barut from the dynamical group of the Kepler problem. In particular, we consider their star distances, periods, and velocities. Previous studies have shown the validity of this regularity for our solar system, and for some selected exoplanet systems. Here, we study all the systems which are known with four or more planets. A remarkable result is found: 63 out of 100 systems show a better agreement between the theory and observation than our solar system. We discuss the relation between the symmetry-inspired transformations and the generalized Titius–Bode (gTB) rule. It turns out that the gTB rule, which has been considered purely empirical, can be obtained from the transformations corresponding to the dynamical group of the Kepler problem. |
| first_indexed | 2024-03-08T20:19:51Z |
| format | Article |
| id | doaj.art-39f37a043e564557bab303eb9eaf1341 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-08T20:19:51Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-39f37a043e564557bab303eb9eaf13412023-12-22T14:45:05ZengMDPI AGSymmetry2073-89942023-11-011512211410.3390/sym15122114Orbital Regularity of Exoplanets and the Symmetries of the Kepler ProblemJózsef Cseh0Phong Dang1Sándor Szilágyi2Géza Lévai3Institute for Nuclear Research, P.O. Box 51, 4001 Debrecen, HungaryInstitute for Nuclear Research, P.O. Box 51, 4001 Debrecen, HungaryInstitute for Nuclear Research, P.O. Box 51, 4001 Debrecen, HungaryInstitute for Nuclear Research, P.O. Box 51, 4001 Debrecen, HungaryWe investigate the question whether or not the orbitals of exoplanets follow the symmetry-governed sequence found by Barut from the dynamical group of the Kepler problem. In particular, we consider their star distances, periods, and velocities. Previous studies have shown the validity of this regularity for our solar system, and for some selected exoplanet systems. Here, we study all the systems which are known with four or more planets. A remarkable result is found: 63 out of 100 systems show a better agreement between the theory and observation than our solar system. We discuss the relation between the symmetry-inspired transformations and the generalized Titius–Bode (gTB) rule. It turns out that the gTB rule, which has been considered purely empirical, can be obtained from the transformations corresponding to the dynamical group of the Kepler problem.https://www.mdpi.com/2073-8994/15/12/2114astronomy data analysiscelestial mechanicsplanetary system evolutionexoplanet systems |
| spellingShingle | József Cseh Phong Dang Sándor Szilágyi Géza Lévai Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem Symmetry astronomy data analysis celestial mechanics planetary system evolution exoplanet systems |
| title | Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem |
| title_full | Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem |
| title_fullStr | Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem |
| title_full_unstemmed | Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem |
| title_short | Orbital Regularity of Exoplanets and the Symmetries of the Kepler Problem |
| title_sort | orbital regularity of exoplanets and the symmetries of the kepler problem |
| topic | astronomy data analysis celestial mechanics planetary system evolution exoplanet systems |
| url | https://www.mdpi.com/2073-8994/15/12/2114 |
| work_keys_str_mv | AT jozsefcseh orbitalregularityofexoplanetsandthesymmetriesofthekeplerproblem AT phongdang orbitalregularityofexoplanetsandthesymmetriesofthekeplerproblem AT sandorszilagyi orbitalregularityofexoplanetsandthesymmetriesofthekeplerproblem AT gezalevai orbitalregularityofexoplanetsandthesymmetriesofthekeplerproblem |