Astrophysik IV: Sternsysteme / Astrophysics IV: Stellar - download pdf or read online
By Frank K. Edmondson (auth.), S. Flügge (eds.)
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Additional info for Astrophysik IV: Sternsysteme / Astrophysics IV: Stellar Systems
Our experience of the velocity dispersion in our neighbourhood suggests that at least in a limited region about the Sun the function t may be a function of second order in the velocities. The most general function of 11 and 12 of the ellipsoidal type will be F(I1 - 2k1I2 + k2I~). 1) This gives, however, a velocity ellipsoid where the axis in the radial direction is equal to that in the z-direction. 2) where G(R,z) = cp(R,z) - cp(R,O). 4) 32 Galactic Dynamics. BERTIL LINDBLAD: Sect. 6) Eqs. 5) may then be written ""&il=~ orp oR o log I?
We can obtain a first order theory by neclecting terms of higher order than the first in the variation from the stationary state. With the help of the "adiabatic" relation just mentioned, and integrating along the z-axis, it is possible to write down the partial differential equations of second order for the total variation S\ of the mass )D in cylinders of unit cross-section and with axes parallel to the z-axis. 1) where )Do is the value of )D for the stationary state. r and f} are polar coordinates in the equatorial plane, and a is the" effective" radius in the equatorial plane, in a coordinate system following the angular speed of rotation, As a constant.
4 R. LANGEBARTEL: Stockholms Obs. Ann. 3 (1951). o B. LINDBLAD and R. LANGEBARTEL: Stockholms Obs. Ann. 6 (1953). 1 2 44 BERTIL LINDBLAD: Galactic Dynamics. Sect. 14. 14. Detailed analysis of sub-systems in the Galaxy. The sub-systems introduced in the dynamical description of the Galaxy may be taken from a formal point of view as an artificial means of dissecting a complicated state of distribution and motion into simple units. In this way the number of sub-systems might be infinite, together representing a continuous, though very complicated, distribution function.
Astrophysik IV: Sternsysteme / Astrophysics IV: Stellar Systems by Frank K. Edmondson (auth.), S. Flügge (eds.)