ARCTIC SEAS.— PART VII. PORT KENNEDY. 
3 
Table I. — Tidal Coefficients for July, 1859, at Port Kennedy. 
A 0 A B, A 2 B 2 A 3 B 3 
1859 . — July 6 
0 
75'6 
- 3-8 
- 12-7 
- 19-9 
+ 11-2 
+ 0-1 
+ P7 
„ 7 
1 
79-6 
- 5-9 
- 12-6 
- 18-3 
- 0-9 
- 2-2 
— 1'3 
„ 8 
2 
82-1 
- 9-0 
- 6-8 
- 14-2 
- 8-7 
— 1*3 
- 1-6 
„ 9 
3 
92-2 
- 12-8 
— 4 - 6 
- 8-8 
— 161 
+o-o 
+ 0-6 
„ 10 
4 
95-8 
- 15-4 
- 4-9 
- 0-8 
- 11-4 
+ 1-8 
- 1-6 
„ 11 
5 
98T 
- 14-1 
— 6‘5 
+ 5-4 
- 3-7 
- 3-6 
+ 3-2 
„ 12 
6 
88-3 
- 17-4 
- 12-4 
+ 15-6 
- 6-2 
+ 0-4 
+ 0-6 
„ 13 
7 
92-9 
- 23-9 
- 15-8 
+ 18-7 
- T.3 
- 0-4 
- 1-1 
„ 14 
8 
92'9 
- 21 - 7 ' 
- 20-3 
+ 20-8 
+ 5-2 
+ 0-9 
- 0-5 
„ 15 
9 
89-7 
- 11-5 
- 17-3 
+ 18-1 
+ 5-9 
+ 0-5 
+ 2-4 
„ 16 
10 
93-5 
- 13-5 
— 22-5 
+ 14-2 
+ 15-6 
+ 1-4 
+ 1Y 
„ 17 
11 
93-4 
- 9-9 
- 21-1 
+ 8 - 5 
+ 20-5 
+ 1-3 
+ 1-4 
„ 18 
12 
91-2 
- 5-2 
- 15-3 
+ 4-5 
+ 19-9 
- 0-3 
+ 2-1 
„ 19 
13 
89-5 
- 4-1 
- 15-1 
- 2-7 
+ 20-4 
- 0-9 
+ 1-4 
„ 20 
° 
89-8 
- 4-7 
- 14-3 
- 8-4 
+ 18-7 
- 0-5 
+ 1-6 
„ 21 
1 
85-5 
- 3-8 
- 8-5 
- 11-7 
+ 12-6 
+ 0-0 
+ 2-4 
„ 22 
2 
83-5 
- 5-5 
- 7-2 
- 11-1 
+ 7-9 
+ 2-7 
+ 2-0 
„ 23 
3 
82-0 
- 8-8 
- 4-5 
- 13-9 
- 3-0 
+ 0-2 
+ 0-2 
„ 24 
4 
85-0 
__ 12-2 
- 3-6 
- 10-6 
- 6-3 
+ 0-8 
- 1-6 
„ 25 
5 
88-0 
- 18-6 
- 4-1 
- 3-0 
- 11-1 
- 0-3 
- 1-1 
„ 26 
6 
94-2 
- 20-0 
- 8-6 
- 1-9 
- 14-3 
- 0-3 
+ 1-6 
„ 27 
7 
102-6 
- 26-9 
2i'2 
+ 13-0 
- 10-9 
— 1*4 
- 5-2 
The seven Coefficients of the preceding Table are drawn to scale in Plate* I., and 
they ought to show a fortnightly Tide. 
I. The Fortnightly Change of Mean Level . 
This Tide is represented by the Column A 0 . 
If we write 
A 0 =a 0 +«i cos u-\-a 2 cos 2w+&c. 
+ &i sin u-\-h 2 sin 2u-\-kc. 
where u is an angle passing through all its changes in 14 days, we have 
14a 0 =Fo+Fi+&c. . . . +F 13 ........ (9) 
7 a Y — (F 0 F 7 ) 
{(F 1 +F 13 ) — (F 6 +F 8 )} cos (f> 
{(F 2 +F 12 )-(F 5 +F 9 )}cos2<£ ■ 
{(F 3 +F n ) — (F 4 +F 10 )}cos3(/, ........ (10) 
7b i= {(Fj+Fg)— (F 8 +F 13 )} sin <f> 
{(F 2 +F 5 ) — (F 9 +F 12 )} sin 2<£ 
{(F3+F4) — (F 10 +F n )} sin 3 (j) (11) 
360° 
where • 
* In this Plate, the vertical coordinates are inches, and the horizontal coordinates are days of the month. 
B 2 
