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Journal of Physical Studies 18(2/3), Article 2901 [14 pages] (2014)
DOI: https://doi.org/10.30970/jps.18.2901 THE STRUCTURE SIMILARITY OF PLANETARY SYSTEMS' ORBITS IN OUR GALAXYM. V. Vavrukh, N. L. Tyshko, I. Ya. Prunchak
Ivan Franko National University of Lviv, Department for Astrophysics, |
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Analyzed in the paper are the features of the exoplanet orbit's structure for systems in the solar neighbourhood. In order to establish a similarity of planetary systems for each of them a model in which semi-major axes of the neighboring orbits satisfy the relation $\tilde a_n=\tilde a_{n+1}α$, where $α$ was a constant for this planetary system, was constructed. Parameter values $α$ for all the systems were obtained by the least squares method according to the known observed semi-major axes. The distribution of the planetary systems for this parameter $α$ was built. This distribution is close to normal distribution, and the maximum is reached at $α_0=0.641851$. The reliability yielded by the $χ^2$ criterion is greater than 85\%, which points at the similarity of the structure of the observed planetary systems in our Galaxy.
PACS number(s): 97.82.-j