ON TEMPERATURES IN GASEOUS NEBULAE. 



Francis E. Nipher. 



In a former paper in these Transactions,* the author has 

 discussed the conditions in a gravitating nebula having uni- 

 form temperature throughout its mass. The present paper 

 deals with the same subject, on the assumption that the initial 

 temperature diminishes from the center outwards, in accord- 

 ance with the following equation : — 



T= of^o . (1) 



The condition assumed in the former paper was therefore a 

 special case in which n = or T = T^ = constant. 



Let ^ represent the gravitation constant, M the mass in- 

 ternal to the sphere of radius i?, P the pressure at the surface 

 of the same sphere, where the density of the gas is ^, then 



The equation for a perfect gas gives 



P 



(3) 



"- CT 



By substituting (1) and (3) in (2) and solving for M, 



kP dR' ^ ' 



Vol. IX, No. 4. 



(275) 



