A text-book of general astronomy : for colleges and scientific schools (1888)
Young, Charles A. (Charles Augustus), 1834-1908 · Boston ; London : Ginn & Company · leaf 278
ocity U2. Thesquares of the velocities are assumed as given below, with the resultingvalues of a and r. Vi2= 5; whence a, = §; and rx= |. This places the empty focus at Fx.For the next larger ellipse F,2=*; a.,= l; r./ = l. In the same way V32 = §; «3 = 2 ; r./ = 3. F42= 1; a1 = ca ; r4 = ao .… … Fig. 144. —Ellipses of the Same Periodic Time. ellipses; all, however, having the same period, and the same length of semi-major axis ; namely, a = 2 r; V2 being taken equal to J U2. For a fourth body, V2 is taken as = ^Z72, and with the direction of motionperpendicular to r. This body will move in…
Astronomy
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