Question

explain why the planets do not wrinkle​

Answer 1

Explanation:

The planets are much closer to the earth, and are thus seen as extended sources. If we consider a planet as a collection of a large number of point-sized sources of light, the total variation in the amount of light entering our eye from all the individual point-sized sources will average out to zero, thereby nullifying the twinkling effect. Hence, the planets do not twinkle

Answer 2

Stars twinkle because they appear as tiny pinpoints as seen from Earth, even through telescopes. Planets don't twinkle because they are closer, and thus appear larger in our sky, as tiny disks instead of pinpoints.