The phrase "affect the motion of" is correct and usable in written English.
It can be used in contexts discussing physics, mechanics, or any situation where the influence on movement is being described.
Example: "The gravitational force will affect the motion of the satellite as it orbits the planet."
Alternatives: "influence the movement of" or "impact the trajectory of".
It is well known that thermal fluctuations and material impurities affect the motion of vortices in superconductors.
Economists improve the realism of DSGE models by adding in "frictions" and "accelerators" that affect the motion of the ball after it is struck.
A force might be the result of any number of fundamental physical interactions between bits of matter but Newton's second law allows you to work out how a force, when it is present, will affect the motion of an object.
Such forces have been looked for already, and if they affect the motion of the planets in the solar system, for example, they have to be enormously more feeble than gravity, otherwise we would have seen them already.
In particular, attachment point bias due to capture error can significantly affect the motion of debris relative to the tether and increase the tangling risk.
The particle particle collisions can significantly affect the motion of individual particles and hence the solid liquid two phase flow characteristics.
Although we are in no position to affect the motions of heavenly bodies, we can observe them under a variety of conditions, over long periods of time, and with a variety of instruments.
But the argument against vortices required him to show that, no matter how perfectly free of friction and viscosity the celestial fluid might be, its inertia would still give rise to resistance forces that would affect the motions of comets, if not planets as well.
According to a prediction of general relativity, the spinning mass of the Earth affects the motion of satellites.
"When an object (such as a baseball) passes through a fluid (such as air), the fluid affects the motion of the object as it flows about the object.
Some of the most intriguing problems in solid-state physics arise when the motion of one electron dramatically affects the motion of surrounding electrons.
