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Solar Neighborhood oscillation

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Currently the science estimates that the Sun is orbiting the galactic center in a vertical oscillation (Up, down)

http://www.centauri-dreams.org/wp-co..._radiation.jpg

Let's assume that this is correct.

Now, please see the following presentation at pg 15
http://www.ifa.hawaii.edu/~barnes/ast110/MilkyWay.pdf
There is an image of the galactic rotation random vectors in the nearby Solar Neighborhood.
It is stated:

"Most stars near the Sun have random velocities of a few tens of km/sec. These stars orbit the galactic center at ~230 km/sec."

As it is random, each star can move to any direction. Therefore, we can assume that some of them are moving inwards to the galactic center, while some others are moving away from the galactic center.

Therefore, it is clear that some of the stars should have horizontal oscillation.

Do you agree with that and what could be the explanation for this vertical oscillation?

However, if we add those two oscillation, we should get an helical motion.

I have found the following image of this motion at the web.
http://www.biocab.org/Motions_of_the_Solar_System.jpg

 

So how can we also explain this motion?

Edited by David Levy

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