And I have asked you to put some numbers to this.

The Moon is about 1 light second from Earth.

The Sun is 26,000 light years from the galactic core. That's a factor of 100 billion.

The sun is 100 billion times further from the galactic core than the Moon is from Earth.

This would result in an effect 100 billion times smaller.

Have you checked how precise your measurements would need to be to see this effect?

Or are you not bothering to assign any numbers to see if it makes any sense at all?

The solar Coriolis force is involved in the formation of the Moon's ellipse.

When the Moon, rotating around the Earth in the last quarter approaches the Sun at a speed of 1 km/sec, and in the first quarter moves away from the Sun at a speed of 1 km/sec, the Solar Coriolis force slightly stretches the Moon's orbit along the Earth's orbit, due to which the Moon's elliptical orbit is formed .

https://images.app.goo.gl/wmqRKPc9jzScCrB16
When the Moon is in its new and full moon phases, the Solar Coriolis Force does not affect the Moon's orbit because During these phases, the Moon does not approach or move away from the Sun.

The eccentricity of the Moon's orbit can be calculated using the following formula. E = Vz / Vl = 0.0411 / 0.55 = 0.0747

Where Vz - Earth's orbital speed - 0.0411 degrees / hour.

Vl - Moon's orbital speed - 0.55 degrees / hour.

The eccentricity of the Moon's orbit can be calculated using the following formula.

E = (Vz /Sz) / (Vl / Sl) = 0.00071 / 0.0095 = 0.0747

Where Vz is the Earth's orbital speed - 107,218 km / h.

Sz - Distance from the Sun to the Earth - 150,000,000 km.

Where Vl is the Moon's orbital speed - 3683 km / h.

Sl - Distance from the Earth to the Moon 384,000 km.

The eccentricity of the Moon's orbit varies, from 0.026 to 0.077.

Both formulas show that the average eccentricity of the Moon's orbit is 0.0747.

And the average eccentricity of the moon's orbit, obtained using radar, is 0.054.

Also, the eccentricity of the Moon's orbit canbe determined by the following formula. E = Vl / Vz = 27.3 / 365.2 = 0.0747

Where Vl is the Moon's orbital angular velocity.

Vz - Orbital angular velocity of the Earth.

By dividing the orbital speed of the Moon by the eccentricity of the Moon's orbit, the Earth's orbital speed can be calculated.

https://en.m.wikipedia.org/wiki/Moon