On the Theoretical Foundations of the Polemical Titius-Bode Law (Ii) Exoplanetary Systems
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Date
2018-06-10
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ResearchGate
Abstract
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.
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Citation
Nyambuya, G. G. et al., 2018. On the Theoretical Foundations of the Polemical Titius-Bode Law (Ii) Exoplanetary Systems. [online]. Available from: https://www.researchgate.net. [Accessed on:14/06/18]