# Golden ratios in the lunar and venusian orbits

Ok, now, why didn't someone tell me this?

Lunar months in one Earth year as a function of the golden ratio:

Lunar_months = Inverse_golden_ratio * 20
= 0.618033 * 20
= 12.360

and when we divide this by the number of days in a year, we find our lunar month:

Lunar_days_in_Lunar_month = Earth_days_in_year / Lunar_months
= 365.242199 / 12.36
= 29.548

Ok, so it is very interesting that we can calculate the number of Earth days in a Venus year again using the max damping proportion of an inverse golden ratio and max resonance proportion of 5:3.

Venus_days_in_a_year = (Earth_days_in_year - 5/3) * Inverse_golden_ratio
= (365.242199 - 1.666666) * 0.618033
= 224.7

So we find that there is an inverse golden ratio involved as a orbital proportion with BOTH the Moon and Venus relative to the Earth's orbit.

This is why the orbital proportion between Earth years and Venus years can be calculated near the golden ratio as the Fibonacci proportion 13:8 in the following way:

Venus_frequency : Earth_Frequency = (Lunar_months * Lunar_days_in_Lunar_month) / Venus_days_in_a_year
= (12.360 * 29.548) / 224.7
= 1.625
= 13 / 8

Thus, Venus orbits the Sun about 13 times for every 8 Earth years.

This also means we can do something else quite amazing. We can calculate the number of days in an Earth year very closely from a simple harmonic damping calculation against the orbit of Venus!

Earth_days_in_year = (13/8) * Venus_days_in_a_year
= 1.625 * 224.7
= 365.1375

Here we find that Earth and Venus are separated in space and orbital frequency by the Fibonacci damping proportion 13:8 (=1.625) which is a little wider than the golden ratio (=1.618033). These harmonic orbital relationships between Earth-Moon and Venus explain how it is we see a slightly irregular pentagram composed of 5 approximate golden sections over 8 Earth years.