The Structure, Stability, and Dynamics
of Self-Gravitating Systems

Joel E. Tohline
tohline@rouge.phys.lsu.edu

[ Download PDF file dated ]

DEFINITIONS


Mathematical Constants

p = 3.141592654
(For a more accurate representation of p, click here).


Physical Constants

c = speed of light
3.00 1010 cm sec-1

G = gravitational constant
6.67 10-8 cm3 gm-1 sec-2

h = Planck constant
6.63 10-27 erg sec

k = Boltzmann constant
1.38 10-16 erg deg-1

mp = mass of the proton
1.67 10-24 gm

= gas constant = k/mp
8.31 107 erg deg-1 mole-1


Physical Variables

Egrav = See Virial.text.shtml

Erot = See Virial.text.shtml

H = See Spherical General Introduction

I = See Virial.text.shtml

n = polytropic index
[ dimensionless ]
An exponent defining the power-law relationship between P and r in the structural, polytropic expression; defined by its use in equation [0.0.0.6].

P = Gas pressure
[ gm cm-1 sec-2 = energy per unit volume = force per unit area ]

t = time
An independent variable in the principal governing equations.

T = Gas temperature
[ degrees Kelvin ]

u = internal energy density = er
[ gm cm-1 sec-2 = energy per unit volume ]

U = See Virial.text.shtml

v = velocity vector = Dx
[ cm sec-1 ]

x = position vector
An independent variable in the principal governing equations.

e = specific internal energy = u/r
[ cm2 sec-2 = energy per unit mass ]

g = ratio of specific heats
[ dimensionless ]

F = gravitational potential
[ cm2 sec-2 = energy per unit mass ]

m = mean molecular weight
Defined such that 1/m = the number of free particles
(electrons + protons + neutral atoms + ions) per proton mass.
{units = 1/mole}

r = mass density
[ gm cm-3 ]


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