Posts Tagged ‘Lucas series’

A year after I wrote the original ‘Why Phi’ post explaining my discovery of the Fibonacci sequence links between solar system orbits and planetary synodic periods here at the Talkshop in 2013, my time and effort got diverted into politics. The majority of ongoing research into this important topic has been furthered by my co-blogger Stuart ‘Oldbrew’ Graham. Over the last eight years he has published many articles here using the ‘Why Phi’ tag looking at various subsystems of planetary and solar interaction periodicities, resonances, and their relationships with well known climatic periodicities such as the De Vries, Hallstatt, Hale and Jose cycles, as well as exoplanetary systems exhibiting the same Fibonacci-resonant arrangements.

Recently, Stuart contacted me with news of a major breakthrough in his investigations. In the space of a few hours spent making his calculator hot, major pieces of the giant jigsaw had all come together and brought ‘the big picture’ into focus. In fact, so much progress has been made that we’re not going to try to put it all into a single post. Instead, we’ll provide an overview here, and follow it up with further articles getting into greater detail.

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Exoplanet link to Lucas number series

Posted: March 31, 2015 by oldbrew in Astrophysics
Tags: ,

Jupiter-sized exoplanet [Wikipedia]

Jupiter-sized exoplanet [Wikipedia]


Tallbloke has spotted a science paper about exoplanets where one system has two planets whose orbital periods are close to 11:4 ratio Lucas numbers.

Paper: ‘We also refine the parameters of two planets announced previously around HD 113538, based on a longer series of measurements. The planets have a period of 663± 8 and 1818 ± 25 days, orbital eccentricities of 0.14 ± 0.08 and 0.20 ± 0.04, and minimum masses of 0.36 ± 0.04 and 0.93 ±0.06 MJup.’
[MJup = mass of Jupiter]

The outer planet is slightly smaller than Jupiter and the inner one is about one third of it, by mass. Noting the uncertainties in the orbital periods, we can see how closely they relate to the Lucas ratio:
663/3 = 221 = 55 x 4, +1
1818/3 = 606 = 55 x 11, +1
difference = 55 x 7

This is very close to 4:11 orbit ratios with 7 conjunctions in that time period, 4-7-11.
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