A Modified Theory of Gravitation. 



Vv 



71 



Table VIII.— Values of 



U ' 



»1- 



a = 0°. 



a =30°. 



a = 60°. 



a =90°. 



a = 120°. 



a = 150°. 



I 



a = 180°. 



o-i 







o-oooio 



0-00035 



0-00057 



0-00060 



00039 







0-2 







0-00087 



0-00289 



0-00468 



0-00493 



000316 







03 







000312 



001031 



001654 



001723 



001095 







04 







0082 



0-0266 



00417 



0-0430 



00264 







05 







00182 



0-0581 



0-0898 



0-0905 



00564 



o i 



06 







0-0376 



0-1171 



01751 



0-1716 



01046 



o ! 



07 







0-0768 



0-2297 



0-3285 



0-3108 



0-1859 





0-8 







0-1670 



04640 



0-6202 



0-5596 



0-3257 







0-85 







0-2619 



0-6854 



08733 



0-7646 



04381 







09 







0-4501 



1-0722 



1-2817 



1-0828 



06091 







In conclusion I desire to thank those friends who have 

 assisted me in the preparation of this paper. But for the 

 help of Mr. G. T. Bennett I should have given up the problem 

 as unmanageable. To Mr. R. S. Cole and to my colleague 

 Mr. T. G. Bedford, and to Mr. A. J. Bamford I am indebted 

 for much help in the heavy arithmetical work involved in 

 the construction and verification of the numerical tables. 

 Mr. Bamford has also verified the mathematical work in the 

 paper. 



IV. A Modified Theory of Gravitation, y 

 By 0. V. Burton, 'D.Sc* 

 1. QO many questions arise in connexion with any theory 

 O which aims at assigning a dynamical basis for 

 gravitation, that it may conduce to clearness if some elements 

 of this paper are first presented without mathematical 

 treatment. 



The theory now put forward is pulsatory, and may in fact 

 be regarded as a development of that which has been 

 suggested by Prof. Hicks f. The aether, even where modified 



* Communicated by the Physical Society : read May 8, 1908. 

 t W. M. Hicks, "On the Problem of two Pulsating Spheres in a 

 Fluid," Proc. Carab. Phil. Soc. iii. p. 277 (Oct, 1879). 



