Galactic mass determinations from incomplete rotation curves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Mass, Galactic Rotation, Gravitational Effects, Mass Distribution, Spiral Galaxies, Curves (Geometry), Density (Mass/Volume), Density Distribution, Orbital Mechanics, Space Density, Stellar Mass

Scientific paper

Given an incomplete rotation curve of a spiral galaxy, various assumptions about the Galaxy beyond the last observed point are made: (1) the force falls off as the inverse square of radius, (2) the mass density is zero, and (3) the mass density falls off as the inverse cube of radius. The mass distributions obtained from each of these assumptions are all well behaved, and it is impossible to choose the correct curve from considerations of the resulting mass distributions alone. The correct mass distribution in the disk system of a galaxy cannot be deduced from an incomplete rotation curve.

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