Why Phi – the Fibonacci resonances of the TOI-451 exoplanets

NASA’s exoplanet hunter (TESS)
[image credit: MIT]

This three-planet system has orbit periods ranging from under two to over sixteen days, obviously another very compact group. Their star is slightly smaller and less powerful than our Sun.

Planets b and c are a fraction of Jupiter’s size, but planet d is vast with a radius of over four Jupiters, or about 45 Earth radii.

Converting the chart on the right to numbers of days for each planet’s orbits:

282 b = 524.154
57 c = 523.974
32 d = 523.679

For the conjunctions:
225 b-c = 524.199
25 c-d = 524.35
250 b-d = 524.214
(Data: exoplanet.eu)

Fibonacci conversion:
225 = 5² * 3²
25 = 5²
250 = 5³ * 2
(2,3 and 5 are Fibonacci numbers)

Since the conjunction numbers are divisible by 25, their ratios to each other can be expressed as 1:9:10, or in Fibonacci terms 1:3²:5*2
= = =

via Tallbloke’s Talkshop

https://ift.tt/3oOCDcW

January 17, 2021 at 08:39AM

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