Machinary with periodic revolution gives a steady, predictable calculation about celestial bodies occurrences.

Except that there is no evidence of such Machinery.

Independent celestial bodies under gravity AKA solar system is an absurd conception. It contradicts the mechanism of gravity (if it existed).

No, it doesn't "contradict the mechanism of gravity".

The "mechanism of gravity" combined with the

*centripetal acceleration* needed to keep an object in circular motion explains circular and elliptical orbits in a two-bodied system perfectly.

Suppose an object is moving in circle with tangential velocity,

*v*, at a distance,

*d*, from the centre.

This requires an acceleration (called the

*centripetal acceleration*) towards the centre of

*a*_{cent} = *v*^{2}/*r*.

If you swing a stone tied to a string around your head that

*centripetal acceleration* is provided by the string.

But it can also be provided by gravitation, which causes an apparent attractive force

*F*_{grav} = ^{(some constant)}/_{d2}.For some object orbiting the earth, say the moon, that "

*some constant*" can be found at least approximately from

*g* = 9.81 m/s^{2} at 6731 km from the earth's centre.

The only acceleration involved in a circular orbit is

*towards the centre* (and that is the meaning of

*centripetal*) so the tangential speed remains unchanged

The maths for an elliptic orbit are far more complicated because there is

*tangential acceleration* as well as

*radial acceleration*.

Isaac Newton developed (his version of) calculus to analyse elliptical orbits such as the moon's orbit around the earth.

Newton used the "dot style notation"

for differentiation while Leibniz, at about the same time, developed the common notation

for differentiation.

Both notations are still used.

How do you resolve the gravity's mutual attraction that in fact it doesn't occur?

Easy, it does occur and the moon appears to attract the earth with exactly the same force as the earth appears to attract the moon.

How do you resolve the inertia?

There is nothing to resolve.

*Inertia* is simply what keeps the moon along its path - there is no contradiction.

How do you resolve the "coffee tides" #JustJoking

But the "tide" in my coffee always seems to be ebbing (going down) but maybe that's caused by my drinking it

.