Browsing by Author "Jigu, D."

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    On the Theoretical Foundations of the Polemical Titius-Bode Law (Ii) Exoplanetary Systems
    (ResearchGate, 2018-06-10) Nyambuya, G. G.; Jigu, D.; Nyathi, A. N.; Dube, A.; Sibanda, B.; Musosi, G.
    Using the Solar system as our standard calibration system, we device a ‘one-size-fits-all ’ procedure to fit exoplanetary semi-major axis onto ‘quantized’ nodes relative to their central host star. The idea is to fit the exoplanet’s semi-major axis onto quantised exponential orbits using the derived exponential planetary placement law (an = R5e 5n : n = 1, 2, 3, · · · ). We herein ‘fix’ the two free parameters (R5, 5) from theory so that, one should – in general – be able to calculate from theory the expected placement of a planet given the mass (Mstar) and radius (Rstar) of the host star. Using twenty five exoplantary systems with at least four known planets, we demonstrate that one can – on a very satisfactory level, ‘fix’ the two free parameters (R5, 5), so that they depend on Mstar and Rstar. Consequently, this strongly suggests that the Titius-Bode Law – a curiosity, usually assumed to be a result of chance – may very well be a gravitational phenomenon.