SSC/Stability/n1PolytropeLAWE/Pt4: Difference between revisions
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As far as we have been able to ascertain, the first technical examination of radial oscillation modes in <math>n=1</math> polytropes was performed — using numerical techniques — in 1951 by L. D. Chatterji; at the time, he was in the Mathematics Department of Allahabad University. His two papers on this topic were published in, what is now referred to as, the ''Proceedings of the Indian National Science Academy'' (PINSA). The citations that immediately follow this opening paragraph provide inks to both of these papers by Chatterji, but the links may be insecure. (Citations/links to articles that provide analyses of models having other polytropic indexes are provided at the [[#See_Also|bottom of this chapter]].) | As far as we have been able to ascertain, the first technical examination of radial oscillation modes in <math>n=1</math> polytropes was performed — using numerical techniques — in 1951 by L. D. Chatterji; at the time, he was in the Mathematics Department of Allahabad University. His two papers on this topic were published in, what is now referred to as, the ''Proceedings of the Indian National Science Academy'' (PINSA). The citations that immediately follow this opening paragraph provide inks to both of these papers by Chatterji, but the links may be insecure. <!-- (Citations/links to articles that provide analyses of models having other polytropic indexes are provided at the [[#See_Also|bottom of this chapter]].) --> Apparently [https://www.springer.com/journal/43538 Springer] is archiving recent PINSA volumes, but their holdings do not date back as early as 1951. | ||
* {{ Chatterji51full }}, ''Radial Oscillations of a Gaseous Star of Polytropic Index I'' | * {{ Chatterji51full }}, ''Radial Oscillations of a Gaseous Star of Polytropic Index I'' | ||
Revision as of 14:04, 15 July 2025
Radial Oscillations of n = 1 Polytropic Spheres (Pt 4)
Part I: Search for Analytic Solutions |
Part II: New Ideas |
Part III: What About Bipolytropes? |
Part IV: Most General Structural Solution |
As far as we have been able to ascertain, the first technical examination of radial oscillation modes in polytropes was performed — using numerical techniques — in 1951 by L. D. Chatterji; at the time, he was in the Mathematics Department of Allahabad University. His two papers on this topic were published in, what is now referred to as, the Proceedings of the Indian National Science Academy (PINSA). The citations that immediately follow this opening paragraph provide inks to both of these papers by Chatterji, but the links may be insecure. Apparently Springer is archiving recent PINSA volumes, but their holdings do not date back as early as 1951.
- 📚 L. D. Chatterji (1951, PINSA, Vol. 17, No. 6, pp. 467 - 470), Radial Oscillations of a Gaseous Star of Polytropic Index I
- 📚 L. D. Chatterji (1952, PINSA, Vol. 18, No. 3, pp. 187 - 191), Anharmonic Pulsations of a Polytropic Model of Index Unity
A detailed review of Chatterji51 is provided in an accompanying discussion.
See Also
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