Why does the value of acceleration varies from place to place on the surface of the earth​

The variation in apparent gravitational acceleration (g) at different locations on Earth is caused by two things (as you implied). ..

Explanation: . The distance between the centers of mass of two objects affects the gravitational force between them, so the force of gravity on an object is smaller at the equator compared to the poles

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.

the closer the planet is to the sun, the larger the gravity