GEOLOGY — MOULTON. — GEOPHYSICAL RESEARCH — ADAMS. 225 



(3) New Expansion of Elliptic, Hyperelliptic, and Related Periodic Func- 

 tions. This paper will appear in the American Journal of Mathematics. 



(4) Periodic Orbits of Superior Planets. This paper has been accepted 

 for publication by the Transactions of the American Mathematical Society. 



During the last year the following investigations, which are not yet in 

 shape for publication, have been made : 



(i) On the Theory of the Origin of Binary Stars by Capture. This paper 

 was read before the St. Louis meeting of the National Academy of Sciences, 

 November 8, 1910. 



(2) On the Evolution of Periodic Orbits. This paper was read before the 

 National Academy of Sciences at Washington, April 20, 191 1. 



GEOPHYSICAL RESEARCH. 



Adams, Frank D., McGill University, Montreal, Canada. Grant No. 693. 

 Completion of investigation into the How of rocks. (For previous re- 

 ports see Year Books Nos. 2-"^ and 9.) $800 



The work during the past year has consisted in the completion of certain 

 lines of the investigation and the further prosecution of others, with a view 

 to bringing the whole investigation to a close by the end of the current year. 



Additional experiments were made on the amount of cubic compression to 

 which granite and other rocks of high resistance must be subjected in order 

 that all cavities and empty spaces existing in them should be closed. This 

 investigation has now been completed and the results will appear shortly. 



The study of the deformation of diabase and granite, as well as of certain 

 varieties of hard, impure limestones, has been continued and is also now 

 completed, so far at least as it is proposed to follow out the investigation of 

 this interesting subject under the present grants from the Carnegie Insti- 

 tution of Washington. A complete account of the results obtained is now 

 being prepared for publication. 



A series of experiments has also been carried on during the year on the 

 structures developed by the recrystallization of various chemical compounds 

 while subject to movement under the action of high differential pressures. 

 This investigation has for its object the securing of information concerning 

 the processes at work in the development of those crystalline schists which 

 owe their structure to recrystallization. The results obtained up to the pres- 

 ent time are of considerable interest, but it is intended during the remainder 

 of the year to prosecute the investigation still further in the hope of obtain- 

 ing results which will have a direct bearing on the question of the origin of 

 this group of the crystalline schists. 



15— YB 



