The Lucas spiral, made with quarter-arcs, is a good approximation of the golden spiral when its terms are large [credit: Wikipedia]

Here we show numerical connections between the Moon, the Earth and Venus. These will be carried forward into part 2 of the post. The focus is on the smaller Lucas numbers (3-18).

Wikipedia says: *The Lucas sequence has the same recursive relationship as the Fibonacci sequence, where each term is the sum of the two previous terms, but with different starting values.*

A look at the numbers:

19 Venus rotations = 169 (13²) lunar rotations

Lunar tropical year = 13 lunar rotations / orbits (1 rotation = 1 orbit)

So: 19 Venus rotations = 13 Lunar tropical years

(13 is a Fibonacci number. The Lunar tropical year is derived from the nearest whole number of lunar orbits to one Earth orbit.)

169 * 27.321582 = 4617.3473 days (Data source)

19 * 243.018 = 4617.342 days (Data source)

Now we bring in the Chandler wobble:

13*3 = 39

39 Lunar tropical years = 32 Chandler wobbles

19*3 = 57

Referring to the chart on the right:

7 and 18 are Lucas numbers.

This theme will continue in part 2 of the post.

(32 + 57 = 89 axial, and 89 is a Fibonacci number. In 1/89th of the period the sum of CW and Ve(r) occurrences is 1).

Re. the period of the Chandler wobble:

39 LTY / 32 CW = (169 * 3 * 27.321582) / 32 = 432.8763 days

Or, if we say 27 Chandler wobbles = 32 Earth tropical years:

(365.24219 * 32) / 27 = 432.8796 days

The two results are almost identical (Wikipedia rounds it to 433 days).

**Note:**

353 Earth tropical years (ETY) = 363 Lunar tropical years = 10 beats

1 beat = 35.3 ETY which is linked to the Chandler Wobble

See: Sidorenkov – THE CHANDLER WOBBLE OF THE POLES AND ITS AMPLITUDE MODULATION

These numbers also feed into part 2 of the post, with more planetary links.