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The Newtonian gravity considers gravity is a force that action at a distance,however, if gravity is quantized, then it should not be an instantaneous force,but propagates toward a direction at the speed of light by gravitationalquanta. The quantum kinematic gravitational effect may be able to adapt theNewton's gravitational equation to quantum gravity theory, and may improve itsaccuracy in some dynamic scenes. Here is a possible method of using quantumkinematic gravitational effect to describe the anomalous acceleration of1I/2017 U1'Oumuamua, the margin of error between the calculated result and theastronomical observations during Oct 19, 2017 - May 3, 2018 is less than 20%.The accumulation of extra velocity caused by quantum kinematic gravitationaleffect may provide extra kinetic energy, and this may be one of the reasonswhich caused Lunar orbital expansion.

A Hypothesis that the Non-gravitational Anomalous Acceleration of 1I/2017 U1 'Oumuamua and Lunar Orbital Expansion May Cause by One Same Reason