Prof. P. E. Chase 0/4 Ethereal Nodes. 209 



taring-position of Mercury, are within the Mars belt. For log 

 (e-r- sec. per. $)£= -131591@-210155 ; log $ = -117620® 

 •239631. . (38) 



The atmospheric limits of the Mars belt, referred to the rup- 

 turing-position of Mercury, are within the asteroidal belt. (39) 



The atmospheric limit at Venus's mean aphelion, referred to 

 Mercury's mean locus, is at Earth's rupturing-locus. For 

 log (mean aph. $'-=- 5)^" = "382120; log (sec. per. ©—-$) = 

 •381719. (40) 



The atmospheric limit at Earth's initial locus, referred to the 

 initial locus of Mercury, is at the mean perihelion of Mars. 

 For log (sec. aph. © -=- sec. aph. # )3" = '466876; log (mean per. 

 d-7- sec. aph. $) = -468819 (41) 



The initial locus of Earth is at the mean aphelion thermal 

 radius of Venus. For log 1*4232 (mean aph. $ -~ ©) = '027677 ; 

 log sec. aph. © = -028463 (42) 



The atmospheric limit at the rupturing-locus of Mars (36), 

 referred to the rupturing-locus of Venus, is near the mean aph- 

 elion of Mars. For log (sec. per. S -f- sec. per. ? )* = '214318 ; 

 log mean aph. c? =-215944 (43) 



The inner atmospheric limit of the Jupiter belt, referred to 

 the rupturing-locus of Venus, is at Saturn's mean distance. 

 For log (sec. per. 11 -=- sec. per. $)3 = *976134; log h = 

 •979496 (44) 



The outer atmospheric or initial limit of the Jupiter belt, 

 referred to the rupturing-locus of Venus, is near Saturn's 

 initial locus. For log (sec. aph, % -r- sec. per. ? )*= 1*046666 ; 

 log sec. aph. h = 1-014657 ; 1*046666 -1-014657 = -032009 

 = log 1-077 = log (sec, aph. -4- mean $). See (3) to (5), 



(20). ..:.;. (45) 



The inner atmospheric limit of the Saturn belt, referred to 

 the rupturing-locus of Venus, is at the initial locus of Uranus. 

 For log (sec, per. h ^- sec. per. 2 ) T = 1*312473 ; log sec. aph. 

 6 = 1-315531 (46) 



The outer atmospheric limit of the Saturn belt, referred to 

 the rupturing-locus of Mars, is also at the initial locus of 

 Uranus. For log (sec, aph. h -r sec. per. <?)£= 1-313669. (47) 



The inner atmospheric limit of the Jupiter belt, referred to 

 Earth's rupturing-locus., is near Saturn's rupturing-locus. For 

 log sec. per. V- -f- sec. per. ®)* = -928796; log. sec. per. k = 

 -941236; -941236--928796= -012440 = log 1-029. . (48) 



Phil. Mag. S. 5. Vol. 3. No. 17, March 1877. P 



