TABLE OF CONTENTS. 



ART. 



Summing vp of the preceding relations of distances in all the four S3'stems 22 

 Additional feature of resemblance of half-planets . . .23 



Section III. Description and illustration of the Laflace Nebular Hypothesis 24-29 

 Formation of satellites and of Saturn's rings . . . .30,31 



Small eccentricities ....... 32 



Accounted for . . . . . . . .33 



Existence of comets explained ...... 34 



The Zodiacal Light, as discussed by Laplace . . . .35 



Modification of Laplace's Nebulae Hypothesis . . . 36-38 



Four specialities of the two half-planets Earth and Venus . . 39 



Summation of the same ....... 40 



Determination of the mass of a {iioiv) missing half-planet interior to 



Uranus . . . . . , . .41 



Disappearance of missing mass to be accounted for. It was not broken 



into asteroids . - . . . . . . .42 



Ten coincidences to show that the missing mass ivas ahsorhed and com- 

 bined with the forming Saturn ...... 43 



An Wth coincidence shown in a more Ancient Arrangement of the material 



of the Solar System ; the same being exhibited withal in Table (F) . 43-45 

 Values of the leading ratio R^ in Table (P) . . . .45 



3'Iass of the Asteroids ....... 46 



Agreement of the determination of the asteroid-mass with that indicated 



by M. Le Verrier as obtained by a discussion of the perturbations of 



Mars ........ 



\st Approximation to the range of the asteroids, by the use of the mass 



as previously determined ..... 



Mercuryh place in Table (F). Mercury includes mass of a whok and a 



half planet. Eccentricity of his orbit accounted for 

 Mass and distance of a possible planet (or rather half-planet) interior to 



Mercury ....... 



Such a mass, so situated, seems to be adequate to i\\Q perturbations in the 



orbit of Venus indicated by M. Le Verrier ... 

 Peculiar relations of the living force of (simultaneous) rotation of some o 



the planetary masses, and of Saturn's rings 

 Application of other conditions appertaining to the ring-like form. Ex 



tension of formula ...... 



Induction with respect to Saturn's rings 



Application to Neptune and Uranus . . 



Consequent Arrange7nent of \Aa.neta,vy masses; the greater among the mon 



remote, but the greatest not the most remote . 

 Consequent and similar arrangement of masses in Saturnh System 

 Consequent and similar arrangement of Jupiterh System . 

 Arrangement of asteroid-mass. Same seems to be referable to two half- 

 asteroid masses. Range of asteroids, and interference of Jupiter 

 Eccentricity of asteroid- orbits ..... 

 Approximate relations of the vis viva of (simultaneous) rotation of th 



half-asteroid masses and that of Mars, respectively 

 Reason for missing terms in planetary or satellite series of distances 

 Vacuities in the Saturn- System ..... 

 Coramensurability of periodic- times. Influence of a resisting mediicm a6 



Ihe formation of the revolving bodies provided for by theory . ; 



Special characteristics of the Moon and other satellites . 



47 



49 



50 



51 



52 



53 



54 

 55 

 56 



57 

 58 

 59 



60 

 61 



63 



64, 65 

 66 



67 

 68 



