The asymptotic limit of the form-factors alpha and beta product for celestial bodies

Details The asymptotic limit of the form-factors alpha and beta product for celestial bodies The asymptotic limit of the form-factors alpha and beta product for celestial bodies

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20...69f&link_type=abstract

Celestial Mechanics, vol. 20, July 1979, p. 69-81.

Astronomy and Astrophysics

Astrophysics

7

Astrophysics, Asymptotic Methods, Celestial Bodies, Form Factors, Planetary Nebulae, Ellipsoids, Gravitational Collapse, Relativity, Schwarzschild Metric, Spheres

Scientific paper

The applicability of the properties of central configurations proceeding from the many-body problem to study of gaseous sphere cloud evolution during its gravitational contraction is justified. It is shown that the product alpha x beta runs to a constant value in the asymptotic time limit of simultaneous collision of all the particles of the cloud where alpha is a form-factor of the potential energy and beta is a form-factor of the moment of inertia. The spherical bodies as well as ellipsoids of rotation and general ellipsoids with a one-dimensional mass distribution are found to possess the property alpha x beta = const.

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