210 



Cincinnati Society of Natural History. 



Corrections to values of E, found by Method III. 



When M exceeds 180°, the signs of the functions in this table 

 must be changed. 



The methods here given are intended for use in computing the orbits 

 of minor planets. The corrections given in the tables increase \Qxy 

 rapidlj^ as cp increases. An examination of the elements of 200 aste- 

 roids, published in the Berliner Jahrhuch and its Circular., gave the 

 following results: 



Number of 

 (f Asteroids. 



0°— 5° 40 



5o_xoo 86 



100—15° ? 61 



15o_20° 9 



>20° 4 



It is readily seen that the orbits of the great majority of these have 

 f <^ 15°, and that these methods ma}^ be rendered useful b}- enlarging 

 the tables of corrections. It is my intention to develop this subject 

 further, and to publish tables for the use of computers. 



