Question
Asked 12th Jan, 2019

What is a justified way to visualize one-dimensional geometrical configuration of dust molecular clouds?

A three-dimensional (3-D, nonplanar) geometrical configuration of astrophysical fluids could be conveniently visualized.
What is a justified way to visualize one-dimensional (1-D, planar) geometrical configuration of dust molecular cloud fluids in astrophysics?
What is well represented by the single spatial variable, x, in this context?

All Answers (1)

13th Jan, 2019
P.K. Karmakar
Tezpur University
In continuation, it is well known that a spherical (3-D) problem (with total degree of freedom # 3) could be reduced into a radial (1-D) problem (with total degree of freedom # 1) at the backdrop of spherically symmetric geometry. In both the cases (3-D + 1-D), the radial coordinate, r, can be well visualized in a sphere.
The same problem for analytic simplicity can also be worked out in a planar cartesian geometry (1-D). In this case, what does the cartesian position coordinate, x, represent? Is it possible to draw a crystal clear pictorial visualization of the latter in reference with the former under the condition that r=x if and only if (1/r)~0?

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