CEB. TAIN HARMONIES OF THE SOLAR SYSTEM. 3 



The results given are those which are respectively consistent with two values of 

 the solar parallax; viz., Prof. Newcomb's value n = 8".848/ and that which some 

 prefer, n — 8". 78. 



Table (A). 

 A Synoptic Table of some of the Elements of the Planetary System. 





Names. 



w 



Neptune, 



5 



Uranus, 



^2 



Saturn, 



21 



Jupiter, 



% 



Mars, 



© 



Earth, 



9 



Yenus, 



5 



Mercury, 







Sun, 



Periodic Times. 



60186:'-6385 



30688 50 



10159.2198174 



4332.5848212 



686.9196458 



365.2563582 



224.7001869. 



81.9692580 



Masses Mean Distances. Mean Distances Densities Densitlt 

 (7r = 8'.848.) (t=8 .78). {i7- = 8 '.848.) (3-=8".78). (3-= 8 '.848). jr=8 '.78). 



4SS5751 

 1 



4865751 

 1 



30.0561298 — 

 19.1833611 + 

 9.5388544 — 

 5.2028004 — 

 1.5236913 

 1.0000000 

 0.1233322 — 

 0.3810981 — 



30.0561339 — 

 19.1833622 — 



9.5388546 — 

 5.2028005 — 

 1.5236913 + 

 1.0000000 

 0.1233322 — 

 0.3810981 — 



0.142- 

 0.182- 



0.145 + 

 0.186 



0.119—0.122 — 

 0.240—0.245 



0.585 + 

 1 000 

 0.809 + 

 1.122 — 



0.599 + 

 1.000 

 0.82S + 

 1.148 + 



0.250+ 0.256 



Remarks. — The authorities for the Periodic Times are : — 

 Uranus. From Prof. Newcomb's Tables of Uranus. 



Earth. The sidereal year of Hansen and Olufsen, as quoted by Prof. Watson. Theor. Aalro- 

 nomy, Table XXI. 



The other periodic times are those usually accepted. 



For the Masses we have — 

 Neptune. The Pulkova deduction, furnished by Prof. Newcomb. 

 Uranus. From Prof. Newcomb's Tables of Uranus. 

 Saturn. Bessel, Comptes Bendus, 1841. 

 Jupiter. Bessel, Die Masse des Jupiter, p. 64. [Its great accuracy is confirmed by Prof Moller's 



deduction from the perturbations of Faye's Comet, and by the recent investigations by Dr. 



Krueger, of the perturbations of Themis, Ast. Nachrichten, No. 1941.] 

 Mars. Hansen and Olufsen's mass, as quoted by Prof Hill. Tables of Venus, p. 2. 

 Earth. Prof. Newcomb's Investigation of the Distance of the Sun, etc., § 11 (with n = 8".848). 



With rt = 8'M8, the mass was deduced, with a change of value proportioned to «'. 

 Venus. Prof. Hill, Tables of Venus, p. 2. 

 Mercury. Encke, Astronomische Nachrichten, No. 443. 



The columns of densities have been computed by the aid of the other data. If 

 we admit for Venus the mass 45^240' to which some indications point {EilVs Tables, 

 p. 2), then the density of that planet with the value of the solar parallax = 8". 848, 

 will be represented by 0.773, or for the value of 7t = 8". 78, the representative 

 density will be 0.791 +. The only change in the value of the mean distance of 

 Venus will then be that the last decimal figure (with 7t = 8".848) will read 1 + 

 instead of 2 — . 



' Smithsonian Contributions to Knowledge — Investigation of the Distance of the Sun, etc., § 10. 



