Black Body Radiation and Kinetic Energy

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Black body radiation depletes a body's thermal energy, which corresponds to the kinetic energy of its particles. However, it does not affect the overall kinetic energy of a body moving at a uniform velocity. A chunk of rock in space, despite losing thermal energy through black body radiation, does not experience deceleration. The conservation of momentum ensures that its velocity remains constant. Thus, black body radiation does not impact the motion of the body as a whole.
Ontophobe
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I see that black body radiation slowly depletes a body's thermal energy, which is just another way of saying that black body radiation depletes the kinetic energy of a body's constituent particles. But does black body radiation also cut into the kinetic energy of the body as a whole, such that a chunk of rock in space moving at uniform velocity is actually technically slowly decelerating?
 
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