On the applicability of Benford law to exoplanetary and asteroid data |
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| Institution: | 1. Facultad de Ciencias Astronómicas y Geofísicas. Universidad Nacional de La Plata, Paseo del Bosque S/N, La Plata, Buenos Aires, 1900 Argentina;2. Instituto de Tecnología e Ingeniería. Universidad Nacional de Hurlingham, Tte. Origone 151, Hurlingham, Buenos Aires, 1688, Argentina;3. Instituto de Astronomía y Física del Espacio (IAFE), UBA-CONICET, Intendente Guiraldes S/N, C1428ZAA Ciudad Autónoma de Buenos Aires, Argentina;1. Instituto de Fisiologia Vegetal (INFIVE-CONICET), Universidad Nacional de La Plata, La Plata, Argentina;2. Centro de Estudios Fotosintéticos y Bioquímicos (CEFOBI-CONICET), Universidad Nacional de San Martín, San Martín, Argentina;3. Centro de Estudios Fotosintéticos y Bioquímicos (CEFOBI-CONICET), Universidad Nacional de Rosario, Rosario, Argentina;4. Instituto de Agrobiotecnología del Litoral (CONICET-UNL), Universidad Nacional del Litoral, Santa Fe, Argentina;5. Instituto de Investigaciones Biológicas (CONICET-UNMdP), Universidad Nacional de Mar del Plata, Mar del Plata, Argentina;1. Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;2. School of Engineering and Digital Sciences, Nazarbayev University, Nur-Sultan, Kazakhstan;3. Kazakh-British Technical University, Almaty, Kazakhstan;4. Energetic Cosmos Laboratory, Nazarbayev University, Nur-Sultan, Kazakhstan;5. Department of Physics, Engineering Physics Astronomy, Queen’s University, Kingston, ON Canada;6. Arthur B. McDonald Canadian Astroparticle Physics Research Institute, Queen’s University, Kingston, ON Canada;7. Paris Centre for Cosmological Physics, Université de Paris, CNRS, Astroparticule et Cosmologie, Paris F-75013, France;8. Physics Department and LBNL, University of California, Berkeley, CA 94720 USA;9. Institute for Advanced Study Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong |
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| Abstract: | In this article we investigate the masses, orbital periods, semimajor axis, eccentricities and radii of the existing exoplanets by comparing the first and second digit probabilities with Benford laws’s predictions. It is found that the masses, orbital periods and semimajor axis conform to Benfordós law quite well, but radii fail. It is also investigated the first digits occurrence corresponding to a given order of magnitude. We introduce a top function which can estimate all the probabilities of the first digit order-to-order. |
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