Polar Roses on Orbital Patterns of Planets

Описание: The Dance of Earth & Venus (by Bright Side)

Watch the orbital patterns forms polar rose mandalas.

The Law of Cycles Forms Universal Mandalas in All Scales of Existence.

""Look down on the Solar System from above the Earth. Track the Earth so it always appears directly below you, but don’t turn along with it. With the passage of each year, you will see the Sun go around the Earth.

As the Sun goes around the Earth 8 times, Venus goes around the Sun 13 times, and traces out the pretty curve shown here.

It’s called the pentagram of Venus, because it has 5 ‘lobes’ where Venus makes its closest approach to Earth. At each closest approach, Venus move backwards compared to its usual motion across the sky: this is called retrograde motion.

Actually, what I just said is only approximately true.

The Earth orbits the Sun once every 365.256 days.

Venus orbits the Sun once every 224.701 days.
So, Venus orbits the Sun in 224.701 / 365.256 ≈ 0.615187 Earth years.

And here’s the cool coincidence: 8/13 ≈ 0.615385

That’s pretty close! So in 8 Earth years, Venus goes around the Sun almost 13 times. Actually, it goes around 13.004 times.

During this 8-year cycle, Venus gets as close as possible to the Earth about 13 – 8 = 5 times.

And each time it does, Venus moves to a new lobe of the pentagram of Venus! This new lobe is 8 – 5 = 3

When Venus gets as close as possible to us, we see it directly in front of the Sun. This is called an inferior conjunction.
So, every 8 years there are about 5 inferior conjunctions of Venus.

3, 5, 8, 13 are consecutive Fibonacci numbers.

As you may have heard, ratios of consecutive Fibonacci numbers give the best approximations to the golden ratio φ = (√5 – 1)/2.

This number actually plays a role in celestial mechanics: the Kolmogorov–Arnol’d–Moser theorem says two systems vibrating with frequencies having a ratio equal to φ are especially stable against disruption by resonances, because this number is hard to approximate well by rationals[...] Naturally, some people get too excited about all this stuff—the combination of Venus, Fibonacci numbers, the golden ratio, and a ‘pentagram’ overloads their tiny brains. Some claim the pentagram got its origin from this astronomical phenomenon"[...]

Source: https://johncarlosbaez.wordpress.com/...