People do indeed acknowledge that both the Sun and the Moon have gravitational pull. The difference in emphasis or frequency of mention could be attributed to a couple of factors:
Proximity and Impact: The Sun's gravitational pull is much stronger than the Moon's due to its significantly larger mass. The Sun's gravitational force affects all objects in the solar system, including the Earth, in a more noticeable and influential way. This is particularly evident in the Earth's orbit around the Sun, which is primarily determined by the Sun's gravitational pull.
Daily Experience: While the Moon's gravitational pull is weaker, it has a more noticeable effect on Earth's tides. People often experience and observe the Moon's gravitational pull through the regular rise and fall of tides along coastlines. Therefore, discussions about the Moon's gravitational influence may be more common in the context of tides and lunar cycles.
However, it is important to recognize that both the Sun and the Moon exert gravitational forces on Earth, and the concept of gravity applies to all objects with mass.