Jones, H. Spencer (Harold Spencer), 1890- · London E. Arnold & co. · leaf 242
t be acentral one, for if thevelocity added at thepoint B was not alongBS, the areas of thetwo triangles SBC,SBc would not beequal. Keplers third lawinvolves the univer •sahty of the constantof gravitation. This may be illustrated for the simple case ofcircular orbits. If M is the mass of the… … Fig. 74.—The Law of Equal Areas. GMm maw^ 471^ m. a rp2 or GM = An^ «•= JI2 If for another body moving around the same central bodythe radius of the orbit and the period are respectively a, Tand the constant of proportionality G, GM 4:71^ - Therefore G/G =— / - =l(byKeplers third law)or G = G.…
Astronomy
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