Question

Gravitational force is known to exist between all bodies in this universe. Due to existence of gravitational force between the earth and the moon, moon should experience a pull towards the earth and vice versa. Do you expect the orbit of the moon to change due to this force of attraction? Give reason in support of your answer.

Answer 1

The gravitational interaction of the Earth and Moon produces a number of effects. The most obvious of these is the orbital motion of the Moon around the Earth, but there is also a motion of the Earth around the center of mass of the Earth-Moon system (discussed below), tidal effects on the Earth and Moon (to be discussed in Gravitational Effects of the Earth and Moon: Tides), and precessional effects on the Earth's axis of rotation (to be discussed in Gravitational Interactions of the Earth and Moon: Precession.

The Gravitational Force of the Earth and Moon on Each Other
     According to Newton's Third Law of Motion, the Law of Action and Reaction, if the Earth exerts a force on the Moon, the Moon must exert an equal and opposite force on the Earth. Newton's Law of Gravity implies the same thing, as its mathematical formula,


F = G m M / r2


in which F is the gravitational force between the two bodies, m and M are their masses, and r is the distance between them, has the same value regardless of which object is thought of as pulling on the other.
     In other words, both Laws imply that the force the Earth exerts on the Moon is numerically identical to the force the Moon exerts on the Earth. The only difference is that the Moon pulls the Earth toward the Moon, while the Earth pulls the Moon toward the Earth -- that is, the force on each object is toward the other object, and therefore in the opposite direction. (This is usually expressed by saying that the forces are "equal and opposite", but sometimes people think this means they cancel each other, unless it is made clear that the forces are acting on different objects.)

The Basic Effect of the Force Between the Earth and Moon
     According to Newton's Second Law of Motion, the Force Law, the effect of a force on an object is to accelerate it in the direction of the force, according to the formula


F = m a


where F is the force applied to the mass m, and a is the acceleration

Answer 2

firstly gravity is not a force for ur kind information . There are lots of other cool things about gravity, but this will be enough to get us started.

I strive to create better explanations each day. I have a feeling that I have already answered this question. 


KEPLER’S FIRST LAW DESCRIBES THE SHAPE OF AN ORBIT

The orbit of a moon around the earth (or of a satellite around a planet) is not a perfect circle. It is an ellipse—a “flattened” circle. The Sun (or the center of the planet) occupies one focus of the ellipse. A focus is one of the two internal points that help determine the shape of an ellipse. The distance from one focus to any point on the ellipse and then back to the second focus is always the same.

A moon's orbital speed changes, depending on how far it is from the earth. The closer moon is to the earth the stronger the earth's gravitational pull on it, and the faster the moon moves. The farther it is from the earth the weaker the earth’s gravitational pull, and the slower it moves in its orbit. 



The Gravitational Force of the Earth and Moon on Each Other
     According to Newton's Third Law of Motion, the Law of Action and Reaction, if the Earth exerts a force on the Moon, the Moon must exert an equal and opposite force on the Earth. Newton's Law of Gravity implies the same thing, as its mathematical formula,
in which F is the gravitational force between the two bodies, m and M are their masses, and r is the distance between them, has the same value regardless of which object is thought of as pulling on the other.
     In other words, both Laws imply that the force the Earth exerts on the Moon is numerically identical to the force the Moon exerts on the Earth. The only difference is that the Moon pulls the Earth toward the Moon, while the Earth pulls the Moon toward the Earth -- that is, the force on each object is toward the other object, and therefore in the opposite direction.

The Basic Effect of the Force Between the Earth and Moon
     According to Newton's Second Law of Motion, the Force Law, the effect of a force on an object is to accelerate it in the direction of the force, according to the formula.

since they are the only vectors in the equation, they must have the same direction -- that is, the change of velocity must be in the direction of the force, as stated above.
     If the Earth and Moon did not exert a force on each other they could each move indepently of the other, but because they do exert a force on each other, their velocities are changed according to the magnitude and direction of each force and their respective masses. Since each is pulled toward the other, the Earth is pulled toward the Moon and therefore a little away from the path .