Laplace, Pierre Simon, marquis de, 1749-1827, Bowditch, Nathaniel, 1773-1838, Bowditch, N. I. (Nathaniel Ingersoll), 1805-1861 · Boston, Hillard, Gray, Little, and Wilkins · leaf 801
anomaly U, or v,from log. t, or the contrary. FORMULAS IN A HYPERBOLIC ORBIT. [5988] The formulas for computing the motion of a body, in a hyperbolic orbit, are given in [702] ; but, it will be convenient to alter the forms of these expressions, by writing(1) o for a, and introducing the auxiliary… … isI S ^ sit9 FORMULAS IN A HYPERBOLIC ORBIT. 767 e_i [rm8] e == —, = secant4-=v/i+tan!T.s4.; \/î2ZT= t&ng.^; j-p-=tang.2è4.; [ExcentncUyeJ o) ^ =a.(e^—l) = rt.tang.=»4-= (e+l).D; [Parameter 2p] (4) D= a.{e—l) =—aa.; a=—(c—1); [perihelion distariceC] (5) —-.t = e.tang.a liyp.log.…
Celestial mechanics · Tides · Capillarity
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