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Title:
Spectral stellar dynamics
Authors:
Binney, J.; Spergel, D.
Affiliation:
AA(Princeton University, New Observatory, Princeton, NJ), AB(Princeton University, New Observatory, Princeton, NJ)
Publication:
Astrophysical Journal, Part 1, vol. 252, Jan. 1, 1982, p. 308-321. (ApJ Homepage)
Publication Date:
01/1982
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
FLOQUET THEOREM, LIBRATION, ORBIT CALCULATION, PRECESSION, STELLAR MOTIONS, STELLAR SPECTRA, ANGULAR VELOCITY, COORDINATES, ECCENTRIC ORBITS, FOURIER TRANSFORMATION, ORBIT PERTURBATION, ORBITAL MECHANICS, SPECTRUM ANALYSIS
Comment:
A&AA ID. AAA031.151.003
DOI:
10.1086/159559
Bibliographic Code:
1982ApJ...252..308B

Abstract

Studies are conducted of orbits in a class of nonrotating bar-like potentials in which essentially all orbits appear to be regular in the sense that they are confined in phase space by a nonclassical integral in addition to the energy. The spectra of these orbits are decomposed into a series of pure sinusoidal components, or lines. The production and analysis of spectra is discussed along with the spectra of typical orbits, taking into account orbits in axisymmetric potentials and in nonaxisymmetric potentials. Questions regarding the physical interpretation of spectra are explored, giving attention to Floquet's theorem and aspects of precession and libration. The interpretation of loop orbits as precessing ellipses and of box orbits as librating axial orbits leads to a simple picture of the nature of the important transition from loop to box orbits.

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