Theoretical Astrophysics
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Theoretical Astrophysics 061 General Theoretical Problems of Astrophysics, Gravitational Instability, Neutrino Astronomy, Infrared, X-Ray, Gamma-Ray Astronomy, Abundances and Origin of Elements 061.001 Hydrostatic conf"Jgurations of smaU mass obeying G. Horedt. the Van der Waals Iaw. Bull. Astron. Inst. Czechoslovakia, Vol. 25, 251 - 252 (1974). Hydrostatic spheres,cylinders and sheets obeying the Van der Waals law are considered. A numerical application for the isothermal Van der Waals sphere is given for temperatures below the critical temperature; a density jump from the liquid to the gaseous phase takes place in the outer Iayers. 061.002 Karhunen-Loeve series expansion: a new approach for studying astrophysical data. D. Pelat. Astron. Astrophys., Vol. 33, 321 - 329 (1974). Karhunen-Loeve series provide a new tool to study large quantities of data or records. Tbis method gives very good results in data compression, but also performs a statistical analysis and aUows an interpretation of records. Part A of this paper is devoted to the theory of tbis technique and Part B shows a study of type I radio bursts by means of tbis method. 061.003 A new primary dynamo mechanism. M. Reinhardt, A. Rosenblum. Astron. Astrophys., Vol. 34,23 - 28 (1974). Tbe authors present a new primary dynamo mechanism for the generation of cosmic magnetic fields in a plasma surrounding a rotating body. Several possible applications in astrophysics are discussed. The authors estimate the magnetic fields generated by supermassive black holes in intergalactic space and in the nuclei of galaxies, supermassive stars, neutron stars, and black holes of stellar mass. However, in all the cases considered the effect is rather weak and the magnetic fields produced are probably oflittle astrophysical importance.
061.006 Synchrotron emission from particles having a truncated power-law energy spectrum. L. J. Gleeson, M. P. C. Legg, K. C. Westfold. Monthly Notices Roy. Astron. Soc., Vol. 168,379 - 397 (1974). The frequency spectrum has been determined of the synchrotron emission from ultra-relativistic electrically charged particles moving in a uniform magnetic field and having a power-Iaw distribution in total energy E which has upper and lower limits EI, E 2. Series have been derived for the deter· mination of the Stokes parameters and the results presented as correction faetors to be applied to the speetra determined by Legg & Westfold, which remain valid when the energy of maximum emissivity lies weil witbin the range (E I, E 2 ). The results of tbis paper provide the basis for determining the complete radiation spectrum in more complex cases of current interest, e.g. the radiation from electrons trapped in the dipolar magnetic field of the planet Jupiter. 061.007 A quantitative study of silicate extinction. K. L. Day, T. R. Steyer, R. R. Huffman. Astrophys. Joum., Vol. 191,415 - 418 (1974). Quantitative measurements of silicate extinction, coupled with Mie theory, indicate that previously used mass absorption coefficients for silicates are considerab
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