A new method derives self-consistent relations between observed surface density slopes and widths and the underlying volume density profiles of filaments, revealing that traditional Plummer fits systematically overestimate slopes and that high angular resolution is required for reliable results.
true” widths of power-law surface density profiles of filaments (or sources) when applying the widely used Gaussian (“naive
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Deriving volume density profiles of filaments from observed surface densities
A new method derives self-consistent relations between observed surface density slopes and widths and the underlying volume density profiles of filaments, revealing that traditional Plummer fits systematically overestimate slopes and that high angular resolution is required for reliable results.