194 GEOPHYSICAL THEORY UNDER THE PLANETESIMAL HYPOTHESIS. 



will be convenient however to express the temperatures and coefficients 

 Ai in terms of the central temperature as unit, to leave free choice as to 

 the numerical value of a. The coefficients A^, A^ then have the values 

 named below, computed according to (56) by mechanical quadrature. 



The influence of the first two components appears from table 5. The 

 second and third columns give the first two fundamental functions, the 

 fourth the primitive temperature curve, and the next two the terms out- 

 standing after subtraction of the first and of the first two components re- 

 spectively. 



Table 5. 



Here 



F (x) =6ldo, the primitive temperature curve; 

 F,{x)=F {x)-A,y,{x) A, = 1.0537 



F,(x) =F,(x) -A,y,ix) ^2= -0.0165 



In the seventh column -rr is the initial rate of change of temperature 



ot 



in convenient units according to equation (65) below; these entries, to be 

 reduced to absolute units, must be multiplied by " \ ; as they stand the 



unit of change would be about 3J° in a billion years, with the numerical 

 constants used. 



The results show that the first component is by far the most important; 

 its amplitude at the center differs from that of the temperature curve by 

 only 5J per cent, and the divergences fall below that percentage over a 

 range of more than eight-tenths of the radius from the center. If this com- 

 ponent alone were present the temperature at any timxe would be represented 



d=Aie ^^yiix) 



