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Originally Posted by tusenfem
the planet's orbits are inclined with respect to the Z-axis, which means that there is also a periodic motion "up-and-down" along the Z-axis. So even more deviation from a nice spiral.
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This is in agreement with my comment that "It is a simplified model - in reality the Z axis is not vertical because the solar system plane is not orthogonal to the path of the sun around the galaxy." It means the Z axis pushes the slinky spiral at an angle. I could not find the value of this angle in a quick look on the internet, but I am sure it is readily available. I am not sure how the angle of the Z axis equates to an 'up and down' motion of the XY plane of the planets, as this plane moves at fixed pace through time.
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Also, the location of the barycentre of the solar system moves at the most 2 Rsun away from the centre of the sun, which in your coin analogue would mean the following:Solar system = 6 1012 meter (Pluto's orbit) = 1 Euro (1 cm radius)2 Rsun = 14 108 m / 6 1012 m = 2 10-4This means that "our galactic environment" sortof "wiggles" at 0.0002 cm with the 100 m location of Alpha Centauri. Now, I have no idea what exactly you are trying to say here, but I seriously doubt that there is something significant here. For sure, there is a wiggly line "left behind" by the Sun in her path around the centre of the galaxy, but the beautiful thing is that the barycentre of the solar system does no such thing, but has a very smooth path.
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Thanks very much. It illustrates that the central axis of the helix model is the solar system barycentre, while the sun moves around this position - as shown
here and
here. A sine wave model of the contribution of Jupiter, Saturn and Neptune to this path is
here.