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On Multipolar Analytical Potentials for Galaxies
Author(s) -
D. Vogt,
Patricio S. Letelier
Publication year - 2005
Publication title -
publications of the astronomical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.99
H-Index - 110
eISSN - 2053-051X
pISSN - 0004-6264
DOI - 10.1093/pasj/57.6.871
Subject(s) - physics , multipole expansion , gravitational potential , galaxy , quadrupole , classical mechanics , gravitational field , astrophysics , density contrast , quantum mechanics
We present analytical potential-density pairs in three dimensions for thegravitational field of galaxies, obtained by thickening the multipolarexpansion up to the quadrupole term. These may be interpreted asgeneralizations of the Miyamoto and Nagai potential-density pairs. With asuitable restriction on the possible values of the multipole moments, thedensity distributions are positive and monotone decreasing functions of theradial and axial coordinates

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