1920.] 
Gifford.—The Origin of New Stars. 
47 
When a = 0, e = 1, and the curve is the limiting straight-line parabola. 
When a = 90°, e = 1—2 
h 
=, which agrees with the result obtained in III. 
The distance at the point of nearest approach is 
SA = a (1 — e) 
= a {1 — v/(l — c sin 2 a)}. 
This distance therefore increases as the angle increases. 
THE VALUE OF e AND RELATED FUNCTIONS 
FOR DIFFERENT ANGLES OF PROJECTION. 
INITIAL KINETOL —- OF PARABOLIC. 
1 O 
Fig. 7.—Angles of projection made with line joining the two bodies. 
1*0 
*9 
*8 
•7 
*6 
’ 5 " 
•4 
•3 
•2 
•I 
