the sun appears the same size of the moon cause its 400 times farther and 400 times bigger, earth is 3.7 times bigger than the moon

my premise is that an object is in orbit cause centrifugal force is equal to the atraction on the mean orbit, im supposing orbits perfectly rounded for simplification reasons

mass of the moon= x distance earth moon =y

mass of the sun 400x distance sun earth 400y

mass of earth 3.7x

w of the moon around the earth= 13z w of the earth around the sun= z

so lets 1st find out gravitational force of the sun and earth:

F=400x*3.7x/(400*400*y*y)=1*10e-3 (x*x)/(y*y)

now lets find gravitational force moon earth=

F=3.7x*x/(y*y)=3.7(x*x)/(y*y)

so you can see the gravitational force is much greater for the moon earth

therefore centrifugal force should be much greater on the moon around the earth than in the earth around the sun lets find if its true:

centrifugal force of the earth around the sun

Fc=m*w*w*r

F=3.7x*z*z*400y=1480x*z*z*y

centrifugal force of the moon around the earth:

f=x*13z*13z*y=169x*z*z*y

so you can see the earths orbit has much greater centrifugal force spining around the sun than the moon spinning around the earth

this arises a simple question:

how can be centrifugal force of earths orbit around the sun be much greater than moons orbit around the earth and force of atraction be the oposite, be much much stronger for the moon orbit than for the earth orbit

in a circular orbit both centrifugal force and force of gravity are exactly equal, if one doubles so does the other

in an eccentric orbit both centrifugal force and force of gravity will be equal in the mean radius