On the probability of major-axis precession in triaxial ellipsoidal potentials

Details On the probability of major-axis precession in triaxial ellipsoidal potentials On the probability of major-axis precession in triaxial ellipsoidal potentials

1993-08-09

arxiv.org/abs/astro-ph/9308011v1

Astronomy and Astrophysics

Astrophysics

4 pages, standard LATEX plus mn.sty file (appended), 4 hardcopy figures available from the author, SUSSEX-AST 93/8-1

Scientific paper

Orbits in triaxial ellipsoidal potentials precess about either the major or minor axis of the ellipsoid. In standard perturbation theory it can be shown that a circular orbit will precess about the minor axis if its angular momentum vector lies in a region bounded by two great circles which pass through the intermediate axis and which are inclined with minimum separation $i_T$ from the minor axis. We test the accuracy of the standard formula for $i_T$ by performing orbit integrations to determine $i_S$, the simulated turnover angle corresponding to $i_T$. We reach two principal conclusions: (i) $i_S$ is usually greater than $i_T$, by as much as 12 degrees even for moderate triaxialities, $A/1.2

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