1359 
given by the expression 
64c 4 )ix? -1) - 2 (y-1)%e] 
which is positive for a sufficiently small value of ¢ and 
Y> 1. In this instance for a value of F sufficiently near 
one there is always a region where real three-shock solutions 
must exist. In fact, as 71,470, $,>7, 
¢ 
tan w'—»/l + 2 -1, while J, —> 7 -%,. 
‘ — yrti 
Ze 
Se 
REFERENCES 
Je von Neumann: "Oblique Reflection of Shocks" = 
BuOrd, Explosives Research Report No. 12 (1943). 
G. Tammann: "Uber Zustandsgleichungen im Gebiete kleiner 
Volumen", Ann. d Physik 37, 975 (1912). 
Re. Becker: "Stosswelle und Detonation", Zs. fiir Physik 
8, 321 (1922). 
H. Weyl: "A Scheme for the Computation of Shock Waves in 
Gases and Fluids," Applied Mathematics Panel, NDRC, 
Memorandum 38.7 (1943) 
Note: For#= 0 this equation reduces to Abel's simplified 
equation of state for explosion gases, where molecular 
cohesion is negligible because of the high temperatures. 
H. Polachek and R.J. Seeger: "Regular Reflection of Shocks 
- 7le- 
