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      The Exo-Planetary System of 55 Cancri and the Titius-Bode Law

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          Abstract

          The recent discovery of a fifth planet bound to 55 Cancri (Fischer et. al 2007) motivated us to investigate if this exo-planetary system fits some form of the Titius-Bode (TB) law. We found that a simple exponential TB relation reproduces very well the five observed major semi-axis, provided we assign the orbital n = 6 to the largest a. This way of counting leaves empty the position n = 5, a situation curiously reminiscent of TB law in our planetary system, before the discovery of Ceres. The application of an exponential TB relation to 55 Cancri allows us to predict the existence of a planet at a <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">2.0 AU with a period of P <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">1130 days located within the large gap between a = 0.781 AU (P = 260 days) and a = 5.77 AU (P = 5218 days). With less certainty, we also predict a seventh planet at a <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">15 AU, with P <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">62 years.

          Translated abstract

          El reciente descubrimiento de un quinto planeta ligado a 55 Cancri (Fischer et al. 2007) nos ha motivado a investigar si este sistema exo-planetario se ajusta a alguna una forma de la ley de Titius-Bode (TB). Encontramos que una simple relación TB exponencial reproduce muy bien los cinco semiejes mayores observados siempre y cuando se asigne el número 6 al planeta con el semieje más grande. Esta forma de contar deja un vacío en la posición n = 6, una situación curiosamente reminiscente a la ley TB en nuestro propio sistema planetario, antes del descubrimiento de Ceres. La aplicación de una ley T-B exponencial a 55 Cancri nos permite predecir la existencia de un planeta con a <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">2.0 AU y con un período de P <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">1130 días localizado en la gran brecha entre a = 0.781 AU (P = 260 días) y a = 5.77 AU (P = 5218 días) correspondientes a los dos más grandes períodos observados. Con menos certeza, también predecimos un séptimo planeta en a <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">15 AU con P <img border=0 src="../../../../../img/revistas/rmaa/v44n1/a18s1.jpg">62 años.

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          Nature

          J Hills (2006)
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            The Titius-Bode Law of Planetary Distances: Its History and Theory

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              Nature

              J. Hills (2024)
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                Author and article information

                Journal
                rmaa
                Revista mexicana de astronomía y astrofísica
                Rev. mex. astron. astrofis
                Instituto de Astronomía, UNAM (México, DF, Mexico )
                0185-1101
                2008
                : 44
                : 1
                : 243-246
                Affiliations
                [01] D. F. orgnameUniversidad Nacional Autónoma de México orgdiv1Instituto de Astronomía México poveda@ 123456servidor.unam.mx
                [02] D. F. orgnameUniversidad Nacional Autónoma de México orgdiv1Facultad de Ciencias México path_6@ 123456yahoo.com
                Article
                S0185-11012008000100018 S0185-1101(08)04400100018
                f3afc552-d43c-41fc-8b86-0accd52bc24f

                This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

                History
                : 13 February 2008
                : 26 February 2008
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 8, Pages: 4
                Product

                SciELO Mexico

                Categories
                Articles

                planets and satellites: general,planetary systems,stars: individual (55 Cancri)

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