A model is presented consisting of two different axially deformed polytropic spheroids, homocentric and coaxial - with arbitrary values for the two masses, the two equatorial radii, and the two polytropic indices - interacting with each other only gravitationally. The model represents the two main components, halo and bulge plus disk, of a galaxy. The flattening of the two spheroids is assumed to be due to rigid-body rotation and tidal interaction, and the treatment follows closely the method of Chandrasekhar and Lebovitz (1962) for single polytropic structures. All useful quantities are evaluated up to first order in the two rotation frequencies. The main properties of sequences of models intended to mimic evolution at constant masses and constant angular momenta are presented
When we speak of a crisis in some domain, we usually think of an unfathomable situation which can only be resolved by a general upheaval. We can, however, assign another, more etymological meaning to the word: that of a critical evaluation. While admitting that the crises in contemporary physics have a good deal to do with the first meaning, I believe that their essential impact, on culture and human thought in general, issues from the second interpretation which allows us to envision these crises as a growing consciousness in physics of the range of its domain and the scope of its methods. These crises greatly contributed, on the one hand, to giving physics a new dimension in its field of action, and, on the other hand, they were brought about by a certain number of ideas which belonged to the general cultural heritage at the time they occured. From this point of view we may conceive of these crises as a cause, and conversely as an effect, of the penetration by wider intellectual horizons of an original structure which was somewhat artificially limited, by the selection of its constituent elements, to representing a sort of mental abstraction, justifiable in terms of the successes it Translated by Marc Métraux, at Harvard Libraries on June 30, 2015 dio.sagepub.com Downloaded from
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