...center of Jupiter, meafured by his femidiameters, areas follow; and the analogy among them is, that the fquares of their periodical times, are as the cubes of their refpective diftances from the center of Jupiter, as in the primary planets. Theeariieft no2. About...

...Syftems of Bodies revolving about Jupiter and Saturn, this Rule is conftantly obferved, that the Squares of their Periodical Times are as the Cubes of their Diftances from their refpective Primaries. Thus the Moon or Satellite that is next to Jupiter, is diftant from Jupiter's...

...times are in a fefquiplicate ratio of their diftances, or (which is the fame thing by art. 297) that the fquares of their periodical times are as the cubes of their diftances, we fhall then have a more Jimple way of expreffing the velocity of a planet thus: let 7 be the velocity...

...times are in a fefquiplicate ratio of their diftances, or (which is the fame thing by art. 297) that the fquares of their periodical times are as the cubes of their diftances, we fliall then have a more fimple way of expreffing the velocity of a planet thus : let V be the velocity,...

...two and eight, or one and four. If equal bodies revolve in unequal circles in fuch a manner as that the fquares of their periodical times are as the cubes of their diftances from the center, their central forces are inverfly as the fquares of thcjr diftances from the center. For fince...