The same is true with the different accelerations of the very different masses of the planets relative to the Sun. The masses of the planets look very different when compared to each other on a planetary scale (Figure 32), just like the mass of the apple looks very different to observers on Earth when compared to the cannonball on a terrestrial scale. But if the masses of the planets are all compared to the enormous mass of the Sun on a solar system scale they can appear to be almost identical (Figure 33, at the bottom of the graph opposite the arrows). In addition, there are many other variables for each of the planets, including its distance from the Sun, its orbital velocity, its orbital period, the quantity of the Sun’s centripetal force received by each planet, each planet’s gravitational force received by the Sun, and the like (Figure 33). No wonder that Newton and everyone else was fooled into believing that these unequal planetary masses also gravitationally accelerate equally toward the Sun.
But Newton was mistaken. Based upon the foregoing analysis and evidence, the unequal masses of the planets must fall unequally relative to the sun. Likewise, the different masses of the moons of each planet must fall unequally with respect to each planet. Remember Newton’s postulate, “The causes assigned to natural effects of the same kind must be…the same.”