Laplace, Pierre Simon, marquis de, 1749-1827 · Boston, Hillard, Gray, Little, and Wilkins · leaf 711
dt. | cos. v . Kdr ) UR\ + d'd t. < sin. v . ( V dr ) The quantities d, c", depend, as we have seen in ^ 64 [1174], upon the inclination of the orbit of m to the fixed plane, so that these quantities would be reduced to nothing if the inclination were nothing ;* moreover, it is easy to see, by the… … now we havef dx = d . (r . cos. v) ; dy = d.(r. sin.w) ; cdt — xdy — ydx — rdv; [1248] i/c'2-L "x‘ (850) Putting ç = 0, in the first equation [11 74], it will become 0 == L - J - , [1245a] and as c is finite, we must have 0 = c'2 -J- c"2, wliich cannot be satisfied with any real values of c', c",…
Celestial mechanics · Tides · Capillarity
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