Chase.] «^^ [Jan. 5 and Feb. 2, 



the nucleal rupturing limit, relatively to Earth, of Murs. For log. (sec. 



per. $J -^ ©r)^ — 2.420731 — log. 1 226 ©r.vec; (sec. per. ^ -4- ©)^ 

 — 1.225 (34.) 



The atmospheric limit at the central locus of infra-asteroidal rupture, is 



4 



at Jupiter's mean aphelion. For log. (sec. per. -h ©r)' = 3.068927; 



log. (mean aph. % ^ Qr) = 3.066743 35.) 



The atmospheric limit at the rupturing locus of Mars, is near the rup- 



4 



turing limit of Saturn. For log. (sec. per. (j^ -^ O^)^ -^ 07'.vec. = 

 .934212 ; log. sec. per. fj =.941236 ; .941236 — .934212 = .0070.24 = log. 

 1.0163. This indicates a similarity of contraction at the centre (6) and at 

 the outer limit of the belt (-^6.) 



The atmospheric limits of the Venus belt, as determined by reference to 

 the rupturing position of Mercury, are in or near the Earth belt. For log. 



( ? H- sec. per. ^ )^ ^ ©r. vec. = 1.942238 (a) .024175 ; log. © = 1.969540 

 @ .028463 1 37.) 



The atmospheric limits of the Earth belt, referred to the rupturing posi- 

 tion of Mercury', are within the Mars belt. For log. (0 ~- sec. per. ^ )^ 

 = .131591 (o) .210155; log. ^ =-.117620(0) .239631 (38.) 



The atmospheric limits of the Mars belt, referred to the rupturing posi- 

 tion 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. 9-^5) 



= .382120; log. (sec. per. -^ ^ ) =.: 81719 (40.) 



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

 locus of Mercury, is at the mean perihelion of Alars. For log. (sec. aph. 



4 



-7- sec. aph. ^ )^ = .466876 ; log. ('mean per (^ -^ sec. aph. ^ ) = 



.468819 (41. ) 



The initial locusof Earth is at the mean aphelion therm il radius of Venus. 

 For log. 1.4232 (mean aph. 9 -^- ©) = .027677; log sec aph. = 



.028463 (42.) 



The atmospheric limit at the rupturing locus of Mars (36 \ referred to 

 tlie rupturing position of Venus, is near the mean aphelion of Mars. For 



log. (sec. per. r^ -h sec. per. 9)= .214318; log. mean aph. (^ =- 



.215944 (43.) 



The inner atmospheric limit of the Jupiter belt, referred to the ruptur- 

 ing position of Venus, is at Saturn's mean distance. For log. (sec. per. 



2/ --sec. per. 9)^ — .976134; log. J? —.979496 (44.) 



The outer atmospheric or initial limit of the Jupiter belt, referred to the 

 rupturing position of Venus, is near Saturn's initial locus. For log. (sec. 



aph. "U -^ sec. per. 9) = 1.046666; log. sec. aph. Ij z= 1.014(>57 ; 

 1.040066 -^ 1.014()57 = .032009 = log. 1.077 — log. (sec. aph. -- mean ^5). 

 See (3) to- (5), (20) (45.) 



