ADVERTISEMENT. 



The Subject of the Prize was announced in the following terms : — 



The University having accepted a Fund raised by several Members of St John's College, 

 for the purpose of founding a Prize to be called the Adams Prize, for the best 

 Essay on some subject of Pure Mathematics, Astronomy, or other branch of 

 Natural Philosophy, the Prize to be given once in two years, and to be open to 

 the competition of all persons who have at any time been admitted to a degree 

 in this University : — 



The Examiners give Notice, that the Subject for the first Prize is, The Theory 

 of the long Inequality of Uranus and Neptune, depending on the near commensura- 



bility of their mean motions. 



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%* The Candidates are required to carry the investigation to (at least) terms of the second order with 

 respect to the eccentricities, and to calculate, from the best data hitherto furnished by observation, the 

 numerical values of the coefficients in the expressions for the variations of the elements of the orbits. The 

 Problem will be considered to be solved in the most complete manner by taking account of terms of the 

 third order of eccentricities, and calculating the effect of the more important terms involving the squares 

 of the disturbing forces. Great importance will be attached by the Examiners to an elucidation drawn 

 from dynamical considerations, of any steps of the analytical processes ; and more especially, to a clear 

 exposition, apart from the symbolic reasoning, of the mode in which the forces produce the results arrived 

 at. It is desired that the Essay may be prefaced by a statement of the course of the investigation, and of 

 the principal heads under which the subject is treated, with a summary of the results. 



H. W. COOKSON, rice-Chancellor. 

 J. F. W. HEESCHEL. 

 J. CHALLIS. 

 M. O'BRIEN. 

 March 7, 1849. 



