Understanding the displacement vector

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pjuelsgaard
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Joined: Tue May 25, 2021 2:54 am

Understanding the displacement vector

Post by pjuelsgaard » Sat May 28, 2022 2:18 pm

The physics behind the displacement vector, specifically the radial part (\xi_r), confuse me a bit,
Using the relation between lagrangian and eulerian perturbations for scalar quantities, it quickly becomes apparent that
\delta r = r' + \xi_r

However, I have some nagging feeling in the back of my mind, that r' might be zero (although I haven't been able to find explicit arguments for it anywhere).

Am I completely off the mark? Or am I just overcomplicating things?

Kind regards
- Peter

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rhtownsend
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Joined: Sun Mar 31, 2013 4:22 pm

Re: Understanding the displacement vector

Post by rhtownsend » Sat May 28, 2022 5:09 pm

Good question, Peter! Because Eulerian perturbations are fixed position, by definition r' = 0 and so delta r = xi_r

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