Stability of the Lagrangian points in stellar bars

Details Stability of the Lagrangian points in stellar bars Stability of the Lagrangian points in stellar bars

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...230...55p&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 230, no. 1, April 1990, p. 55-66. Research supported by the Universite de Gene

Astronomy and Astrophysics

Astrophysics

24

Barred Galaxies, Celestial Mechanics, Galactic Structure, Gravitational Fields, Lagrangian Equilibrium Points, Chaos, Dynamic Stability, Halos, Many Body Problem

Scientific paper

The stability of the Lagrangian points is examined in the context of barred galaxies, and more generally, of asymmetric gravitational potentials. The stability conditions can be stated by three criteria, each one having a distinct physical meaning, involving the local second derivatives of the potential. A few examples in different bisymmetric potentials are discussed. The L4,5 stability is then investigated in a self-gravitating and self-consistent 3D bar model resulting from an N-body simulation. The points L4,5 of the bar are found to be marginally stable, on the verge of complex instability; other bar patterns rotating slower/faster than the actual bar would make these points stable/complex-unstable.

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