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Abstract
The question of whether the solar distances of the planetary system follow a regular sequence was raised by Kepler more than 400 years ago. He could not prove his expectation, inasmuch as the planetary orbits are not transformed into each other by the regular polyhedra. In 1989, Barut proposed another relation, which was inspired by the hidden symmetry of the Kepler problem. It was found to be approximately valid for our Solar System. Here, we investigate if exoplanet systems follow this rule. We find that the symmetry-governed sequence is valid in several systems. It is very unlikely that the observed regularity is by chance; therefore, our findings give support to Kepler’s guess, although with a different transformation rule.
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The L 98-59 System: Three Transiting, Terrestrial-size Planets Orbiting a Nearby M Dwarf. ACTA ACUST UNITED AC 2019. [DOI: 10.3847/1538-3881/ab2459] [Citation(s) in RCA: 67] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Revised Stellar Properties of
Kepler
Targets for the Q1-17 (DR25) Transit Detection Run. ACTA ACUST UNITED AC 2017. [DOI: 10.3847/1538-4365/229/2/30] [Citation(s) in RCA: 228] [Impact Index Per Article: 32.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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PLANETARY CANDIDATES OBSERVED BY
KEPLER
. VII. THE FIRST FULLY UNIFORM CATALOG BASED ON THE ENTIRE 48-MONTH DATA SET (Q1–Q17 DR24). ACTA ACUST UNITED AC 2016. [DOI: 10.3847/0067-0049/224/1/12] [Citation(s) in RCA: 200] [Impact Index Per Article: 25.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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