208 



REPORT ON 



The following are the equations of condition, formed in the manner just explained, 

 for the Admiralty Standard Compass. 



Absolute Term. 



g 



h 



k 



R 



&.R 



o = — 0.160 



+ 



O.OO8 



— 1.448 



+ 1. 000 



+ 0.215 



4 



6.24 



« — 0.899 



+ 



IO.23 



— 8.007 



4 1. 000 



+ 2-097 



+ 



125.8 



+ 0.320 







4-779 



— 0.376 



+ 1. 000 



— 0.806 



— 



51.61 



O — : O.I4I 



+ 



4.791 



— 0.164 



4 1. 000 



— 0.806 



— 



51.61 



O — 0.IO8 



+ 



1. 561 



+ 0.558 



+ 1. 000 



— 0.275 



— 



23.10 



O = O.I29 



+ 



0.545 



— 0.442 



4- 1. 000 



— 0.115 



— 



11.48 



O = O.I49 



+ 



1.322 



— 0.485 



+ 1. 000 



— 0.223 



— 



30.76 



O = O.Ol6 







1. 401 



— 0.140 



+ 1. 000 



— 0.223 



— 



34-3 2 ' 



O = O.068 



+ 



8.822 



— 0.033 



4 1. 000 



— 1.263- 



— 



227.3 



O = —O.I75 



+ 



1. 132 



+ I-I3 6 



+ 1. 000 



4 0.2II 



4 



4J-59 



O = O.Il8 







1.046 



— 0.580 



4 1. 000 



+ 0.155 



+ 



32.66 



O = O.O58 







0.497 



— 0.165 



+ 1. 000 



+ O.O93 



+ 



21.74 



From these equations of condition, the following normal equations have been 

 obtained by the method of least squares. 



Absolute Term. 



g 



h 



k 



R 



100 &R 



O = — 12.462 

 = + 7.286 

 = — 1. 701 



o=— i-957 

 = — 1. 112 



+ 237-337 



— 79.068 

 + 20.688 

 + 9-858 



— 7-5*3 



+ 68.794 



— 10.147 



— 16.451 



— 9.444 



4 12.000 



— 0.941 



— 2.022 



+ 7-6o5 

 + 6.735 



+ 7-892 



Solving, we find 



g = -f 0.04070 

 »■= 4- 0.00504 



Te-= 

 i2 = 



0.1006 

 0.1665 



100AZ2 = + 0.0694 



Substituting these results in the equations of condition, we find that the probable 



Z' 



error of a single observed value of — is ^ 0.024, and the probable error of a com- 



Z' 



puted value of — is ^ 0.007. 



Z' 



In a precisely similar manner, from the values of -— observed at the position of 



Z 



the After Azimuth Compass, we obtain the following equations of condition. 



Absolute Term. 



g 



h 



k 



R 



L.R 



= + 0.501 



— 4.790 



+ 0.173 



+ 1. 000 



— 0.806 



— 51.61 



= — 0.625 



+ 4-66 3 



— 1. 114 



4 1. 000 



— 0.806 



— 51.61 



= — 0.115 



+ 0.979 



+ 1-338 



4 i. 000 



— 0.275 



— 23.10 



0=+ 0.059 



+ 0.358 



— 0.603 



4- 1. 000 



— 0.115 



— 11.48 



= — O.IOI 



+ i-37° 



— 0.324 



4 1. 000 



— 0.223 



— 30.76 



= 4- 0.152 



— 1-393 



— 0.205 



4 1. 000 



— 0.223 



— 34-32 



= — 0.602 



+ 8.823 



4 0.031 



4 1. 000 



— 1.263 



— 227.3 



= — 0.165 



+ 1-250 



4- 1.006 



4 i. 000 



4- 0.211 



+ 41.59 



= — 0.049 



+ 0.314 



+ i-i54 



+ 1. 000 



+ 0.155 



4- 32.66 



o=4- 0.094 



— 0.257 



— 0.456 



4 1. 000 



+ 0.093 



+ 21.74 



