Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999apj...514..109g&link_type=abstract
The Astrophysical Journal, Volume 514, Issue 1, pp. 109-118.
Astronomy and Astrophysics
Astronomy
72
Celestial Mechanics, Stellar Dynamics, Galaxies: Interactions, Galaxies: Kinematics And Dynamics, Galaxies: Star Clusters
Scientific paper
We derive expressions for the tidal field exerted by a spherically symmetric galaxy having an extended mass distribution and use our analysis to calculate tidal heating of stars in a globular cluster or a satellite galaxy. We integrate the tidal force over accurate orbits in various models for the primary by using the impulse approximation, coupled with adiabatic corrections that allow for time variation of the perturbation. We verify the results with direct N-body simulations, and we also compare them with the conventional straight-path approximation. Heating on highly eccentric orbits dominates, since adiabatic corrections strictly prohibit energy changes on low-eccentricity orbits. The results are illustrated for globular cluster NGC 6712. For the orbital eccentricities higher than 0.9, the future lifetime of NGC 6712 is less than 10^10 yr. Our analysis can be used to study tidal interactions of star clusters andgalaxies in a semianalytical manner.
Gnedin Oleg Yuri
Hernquist Lars
Ostriker Jeremiah P.
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