COMET OF 1S89-1896-1903 275 



and thence 



The disturbing- forces are therefore proportional to the inverse 

 fourth power of the radius vector ; and, hence, for a close ap- 

 proach, the resulting perturbations may become very large. In 

 the case under consideration, these disturbing forces were found 

 to be, at the time of closest approach, as great as one per cent 

 of the central controlling force of Jupiter. 



To obtain the perturbations of the elements the disturbing 

 forces, as computed above, are combined with the differential 

 coefficients of the elements as given in §33. 



With these formulas I computed the perturbations during the 

 36 hours of closest approach, July 19.5 to July 21.0, using an 

 interval of one hour exxept for the eight hours of closest ap- 

 proach, when the interval was reduced to 1 5 minutes. The 

 following table gives the values of the integrated perturbations, 

 thus derived, at the dates of computation, the changes in c, v 

 and N' being expressed in units of the sixth decimal place. 



