678103-1882-Observatory-Major-Palmer-s-report-on- — Page 10

236

THE HONGKONG GOVERNMENT GAZETTE, 4TH MARCH, 1882.

I

>

وح

2

3

3

Probable error of observation.-On the assumption that the probable error of a single complete observation is the same for every pair of stars, a comparison of the results in the above Table furnishes V ................ be the several means for determining its mean value from all the pairs, thus. Let v differences for any pair between the several results for latitude from that pair (of which there have been ʼn observations) and the mean result from that pair; and let such differences or residuals be similarly taken out for all of the pairs which have been observed more than once; and let V be the sinn of the squares of all these residuals, N the total number of determinations, M the total number of pairs observed more than once, and Q (.6745) the factor for reduction of mean to probable_errors.

the probable error of observation, is found by the formula,

Then

e;

V

e2

Q9

N-M

V

.455

N-M

【(6)

Table III, below, exhibits the steps of the process for determining V

TABLE III.

TO FIND THE PROBABLE ERROR OF OBSERVATION.

Na që pale

Stars of the pair; B. A. C. Noe.

Seconds of latitude

Means

7"

#1

}}

9.36

0.68

4624

9.61

0.69

4761

745-786

10.48

10.23

0.25

0625

11.78

0.95

.9025

10.41

0.18

.0824

18.59

0.54

.2916

2

872-901

12.26

13.05

0.79

.6241

13.31

0.26

.0676

3

502-518

18.97

13.89

0.65

.4225

999-1052

14.55

14.05

0.50

.2500

14.20

0.15

.0225

10.66

0.28

.0784

5

1087-1138

9.27

10.38

1.11

1.2321

11.22

0.84

.7056

12.27

0.70

6

574-628

.4900

11.57

10.87

0.70

.4900

12.56

0.03

.0009

7

1045-1052

11,82

12.53

0.71

.5041

13.22

0.69

.4761

11.97

0.22

.0484

S

1326-1346

12.19

12.41

0.22

.0484

13.37

0.08

.0064

9

1391-1408

13.29

13.22

0.07

.0049

10

1408-1437

11.70

10.57

0.28

.0784

=

1726-1778

9.74

10.29

0.55

.8025

10.56

0.27

.0729

9.21

0.63

.3969

12

1837-1876

9.17

9.84

0.67

.4489

11.14

1.30

1.6900

13.75

0.59

.3481

13

810-574

13.16

12.57

0.59

.3481

11.12

14

1377-1414

0.04

.0016

11.16

11.20

0.04

.0016

13.15

0.03

.0009

15

1420-1414

13.12

13.09

003

.0009

13.24

0.12

.0144

16

1602-1687

14.90

13.36

1.54

2.3716

11.93

1.43

2.0449

9.83

17

1958-2001

0.03

.0009

9.86

9.89

0.03

.0009

IS

сс

1408-1432

11.70

12.72

0.23

.0529

19

20

21

22

23

21

ེ་ ོམ་ ེ ས ོར

1883-1900

12.49

12.26

0.23

.0529

1990-2082

13.47

755-- 786

10.73

887-872

13.14

2123-2163

9.89

2398-2442

13.56

25

2398-2469

9.25

26

2486-2555

13.19

27

2617-2659

11.82

28

2700-2714

14.46