Why is the Moon not affected by the Sun’s gravity but seemingly affected strongly by the Earth’s gravity and Moon have less gravity and less mass than Earth?
The gravitational pull of the Sun is the same on the Moon and on the Earth. In the Sun-centred frame of reference, the Moon can be described as in orbit around the Sun, following a curving, scalloped path due to the influence of the Earth. In the Earth-centred frame of reference, both Earth and Moon are orbiting the barycentre, which is their common centre of mass. The Earth's pull on the Moon is stronger than the Sun's at this distance, because as Isaac Newton demonstrated, the gravitational attraction between two bodies is proportional to the product of their masses, and inversely proportional to the square of the distance between them. Likewise the pull of the Moon on Earth's oceans is stronger than the Sun's, by 2.17: 1, although the Moon is very much less massive than either the Sun or the Earth.
Very simple: the sun is the mother of the earth.
Earth is the mother of the moon.
The attraction of the child to the mother is more than the attraction of the child to the grandmother. As a result, the attraction of the moon to the earth is greater than the attraction of the moon to the sun.
A few important points: Planet Earth needs the Moon to maintain its balance. As a result, the earth itself created the moon.
Or trapped the moon.
If the earth did not need to maintain balance, it would not accept the moon.Here the gravity between the moon and the earth is to keep the earth in balance, so there must be maximum attraction between the two. But the gravity between the moon and the sun is not necessary, so it is negligible.
Important point: All beings seek only to satisfy their needs, no more and no less.
And all atoms and beings always like to be like neutral ions and live in peace.
I do not accept the formula for gravitation between bodies for reasons that cannot be stated here.
Gravity in space has a direct relationship with the magnetic strength of the core of the objects, not the mass of the objects.