On the Domains of Existence of the Three Types of Supersonic Solutions of the Inviscid Solar-Wind Equations
Abstract
The approximate energy equation for radial distances larger than the critical point is solved with "critical point" boundary conditions. It is shown that if E = (41/24) (12/5)5/3 (35/2A)2/3 = e "' (where E is the residual energy per particle at infinity, A = 5.8 X 106/C, and C is the mass flow) then the equation has the solution T . If 6 < , the asymptotic behavior of the temperature is whereas if e > 6 "' then T for large values of r. This clarifies the domains of existence of the Parker, Whang and Chang, and supersonic solutions of the solar-wind equations.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- February 1972
- DOI:
- 10.1086/151315
- Bibcode:
- 1972ApJ...171..609D