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Adiabatic Invariants in Stellar Dynamics: I. Basic concepts | Martin D. Weinberg
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7 Apr 1994 | Subject: | astro-ph | Affiliation: | U. of Massachusetts | Abstract: | The adiabatic criterion, widely used in astronomical dynamics, is based on the harmonic oscillator. It asserts that the change in action under a slowly varying perturbation is exponentially small. Recent mathematical results precisely define the conditions for invariance show that this model does not apply in general. In particular, a slowly varying perturbation may cause significant evolution stellar dynamical systems even if its time scale is longer than any internal orbital time scale. This additional `heating’ may have serious implications for the evolution of star clusters and dwarf galaxies which are subject to long-term environmental forces. The mathematical developments leading to these results are reviewed, and the conditions for applicability to and further implications for stellar systems are discussed. Companion papers present a computational method for a general time-dependent disturbance and detailed example. | Source: | arXiv, astro-ph/9404015 | Services: | Forum | Review | PDF | Favorites |
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