How does the proximity of planets to Earth contribute to the absence of the twinkling effect?

Apparent Size of the Light Source:

Stars, being distant point sources of light, are more susceptible to atmospheric turbulence. The light from a single point on a star’s surface can be significantly affected by the Earth’s atmosphere, causing the twinkling effect.
Planets, on the other hand, appear as disks rather than points of light when observed from Earth. The apparent size of the planet is larger compared to individual stars. This extended nature of the light source helps to average out the effects of atmospheric turbulence. The overall brightness is a combination of light from different parts of the planet’s surface, contributing to a more stable and less twinkling appearance.
Distance from Earth:

Planets in our solar system are much closer to Earth compared to most stars. The distance to a celestial object affects how much its light is influenced by the Earth’s atmosphere.
Light from stars has to traverse a longer path through the Earth’s atmosphere, encountering more atmospheric layers and variations in density. This longer path increases the likelihood of atmospheric turbulence, leading to a more pronounced twinkling effect.
Planets, being closer, have a shorter path through the atmosphere. The reduced atmospheric path minimizes the impact of turbulence on the observed light, contributing to the reduced or absent twinkling effect.
In summary, the combination of the apparent size of the light source and the proximity of planets to Earth results in a more stable and less twinkling appearance compared to distant stars. The extended nature of the light source and the shorter atmospheric path contribute to this effect, making planets appear as steady, non-twinkling points of light in the night sky.