82 



THE OCEAN, 



[Book ni. 



Relative distances from 

 nearest and remotest 

 parts of sun, in solar 

 diameters 



Mercury 

 Venus . 

 Earbh. . 

 Mars . 

 Jupiter 



41 



77 



106 



164 



556 



42 



78 



107 



165 



557 



Saturn. 1,020 1,021 

 Uranus 2,051 2,052 

 Neptune 3,212 3,213 



Inverse squares of distan- 

 ces give the proportion 

 wliicli in each orbit the 

 gravitation of the re- 

 motest bears to that of 

 the nearest part of the 

 sun 



1,681 1,764 



5,929 6,084 



11,236 11,449 



26,896 27,225 



309,136 310,249 



1,040,400 1,042,441 



4,206,601 4,210,704 



10,316,94410,323,369 



Fraction of direct force 

 which acts as a re- 

 volving force 



•024092 

 •012902 

 •009315 

 •006078 

 •001796 

 •000979 

 •000487 

 •000311 



Sq. Roots 

 of fore- 

 going 

 fractions 

 give re- 

 lative 

 velocities 



•1552t 

 •1135t 

 ■09651 

 •0779t 

 •0423t 

 •0312t 

 •0220t 

 •01763 



The lengths of the orbits increase as the distances 

 from the centre increase. And the relative lengths 

 of the orbits, divided by the relative periods of orbital 

 revolution, give the relative velocities of the orbital 

 motions, as follows : — 



t These decimals are all a fraction larger if extended. The 

 least velocity is extended a figure farther to give greater precision 

 when used as a divisor in the third table. The distances of the 

 planets from the sun and the relative lengths of the orbits given 

 above are based on the distances given in Mitchell's Popular 

 Astronomy, discarding fractions of the solar diameter used as the 

 unit of measurement, and the relative periods of revolution are, 

 within half a day, the actual periods. 



