The manifold of spheroidal galaxies

Mathematics

Scientific paper

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Elliptical Galaxies, Factor Analysis, Manifolds (Mathematics), Astronomical Models, Error Analysis, Space Observations (From Earth), Standard Deviation

Scientific paper

A sample of 24 elliptical and a sample of 25 S0 galaxies with known velocity dispersions and rotation curves are investigated by means of principal component analysis. Error estimates for the factor loadings due to observational uncertainties are given. The main result is that for both samples the manifold's true dimension is two. A third significant factor seems to be the unknown inclination. The global properties of ellipticals and S0 galaxies are discussed and compared with each other.

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