THE AERODYNAMICS OF A SPINNING SHELL. 
243 
Table II.—General Table of Results. 
Column 1. 
33 
33 
33 
2 . 
3. 
4. 
5. 
6 . 
7. 
8 . 
33 
9. 
Number of round and number of half-period for the round (in brackets). 
Muzzle velocity, f.s., for round or mean for group. 
Air density p, lb./(ft.) 3 , and temperature, 0 F. 
12 (= AN/B), radians/sec. 
12 T, radians, where T is the observed duration (sec.) of each half-period. 
Observed values of sin |a, where a is the maximum yaw. 
Observed values of sin -J/3, where /3 is the minimum yaw. 
Values of k, degrees, where k (= sin k ) is the modulus of the elliptic 
function which fits the observations. 
Values of \(= K/liT), where Iv is the complete elliptic integral of the 
first kind for the value of k in (8). 
1 
2 
3 
4 
5 
6 
7 
8 
9 
ft 
I. 8 
(1) 
1049 
0-0792 
84-2 
17-5 
0-276 
79 
0-172 
I. 9 
(1) 
1084 
43° 
86-9 
19-8 
0-251 
— 
83 
0-154 
(2) 
16-2 
0-251 
— 
70 
0-155 
I. 10 
(1) 
1084 
86-9 
15-2 
0-245 
75 
0-182 
I. 17 
(1) 
1312 
0-0812 
105-2 
16-6 
0-192 
75 
0-167 
(2) 
O 
O 
13-8 
0-192 
0-020 
65 
0-167 
I. 18 
(1) 
13-5 
0-203 
— 
75 
0-205 
(2) 
12-0 
0-203 
0-049 
70 
0-209 
1.5 
(1) 
1582 
0-0782 
] 25-4 
13-8 
0-108 
40 
0-130 
(2) 
45° 
15-6 
0-108 
— 
57 
0-133 
(3) 
12-0 
0-070 
— 
20? 
0-135 
1.6 
(1) 
13-6 
0-118 
— 
45 
0-136 
(2) 
14-4 
0-118 
— 
35 
0-120 
1.7 
(1) 
24-0 
0-090 
— 
56 
0-086 
(2) 
19-5 
0-090 
0-018 
0? 
0-082 
II. 11 
(1) 
1107 
0-0807 
81-9 
18-2 
0-161 
57 
0-114 
(2) 
42° 
14-6 
0-161 
0-055 
20? 
0-112 
II. 12 
(1) 
20-8 
0-148 
— 
52 
0-095 
(2) 
16-4 
0-148 
0-075 
35 
0-105 
II. 13 (1) 
22-0 
0-183 
— 
70 
0-114 
(2) 
i 
14-4 
0-183 
0-046 
53 
0-138 
1 1 
i 
1 1 1 
VOL. CCXXII.-A. 2 M 
