On the Moon, the astronaut's inertia will not change.
The characteristic of a substance that causes that substance to be at rest or to move continuously in a straight path is known as inertia.
The amount of inertia an object has depends on its mass; the more massive the object, the more inertia it has, and the less massive the object, the less inertia it has.
The weight of an object is calculated as the sum of its mass and gravitational acceleration.
W = mg
where m is the mass of the object and g is the acceleration due to gravity
Only the weight of the astronaut will vary due to variations in the degree of acceleration caused by gravity, keeping the astronaut's mass constant.
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