We describe the orbital period change of the X-ray binary Cygnus X-3,
and present three new times of X-ray minima, obtained using the Ginga
and ASCA satellites. Before 1990, the long-term ephemeris of Cyg X-3 r
equired the introduction of a second time derivative, P, of order -(1.
27 +/- 0.19) x 10(-10) yr(-1) This value indicates that the first time
derivative, P, changes from a positive to a negative value around 198
6. However, the new ASCA data points presented here do not confirm thi
s large P variation and indicate a significantly smaller P of -(8.13 /- 1.15) x 10(-11) yr(-1) and a global period change of P/P = (1.17+/-
0.44) x 10(-6) yr(-1). The derived P can be explained by a large mass-
loss rate of 0.58 x 10(-6) M(T) yr(-1), where M(T) is the total mass o
f the Cyg X-3 system. This value is consistent with the expected mass-
loss rate of the Wolf-Rayet star of about 10(-6)M(.) yr(-1). The exist
ence of a red-noise type fluctuation is also described.