Self-similarity and the angular momenta of astronomical systems - A basic rule in astronomy

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Angular Momentum, Celestial Mechanics, Galactic Clusters, Gravitational Effects, Planetary Rotation, Stellar Rotation, Dimensionless Numbers, Galaxies, Star Clusters

Scientific paper

Self-similarity is discussed in the astronomical context in which the physical description of a system can be reduced to the set eta(i) of dimensionless numbers. A first survey of the data concerned shows that eta(1) and eta(2) are approximately the same for a wide range of astronomical systems. It is noted that one can calculate the angular momenta J and masses M of astronomical systems and see if there is any relation between them. It is shown that if the systems under discussion form a self-similar class, they should define a relation (J varies as sq M).

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