13th Jan, 2019

Tezpur University

Question

Asked 12th Jan, 2019

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?

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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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The balloon-borne submillimeter instrument PRONAOS has
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