56 THE ORBIT OF NEPTUNE. 



27. The concluded corrections of the ephemeris for normal dates generally 

 near the mean of the means have been concluded by applying to the corrections 

 of pp. 51, 52 the following corrections : 



1. Correction for systematic error given by fundamental stars. 



2. Reduction, when the change of error was rapid, from the dates of the means 

 to the dates of the normals. 



3. 0.027 ^-jf sin D for second differences of error, when 8r > .01. 



4. Correction just given for difference of epheme rides. 



The results are given in the following table. The small figures show the 

 relative weights assigned to the separate results, which are, to a certain extent, a 

 matter of judgment, but which are assigned without any reference to the magni- 

 tude of the correction itself. 



