The relative mass of an object when travelling relatively to an observer is given by the rest mass multiplied by the Lorentz factor, gamma . which is equal to one divided by the square route of one minus the relative velocity squared over the speed of light on a vacuum squared ( it's easier to see when written down properly ).
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Our moon has a large mass, in relation to that of its parent planet, and mathematical modelling based on the relative masses of the two bodies seems to indicate that capture is unlikely : a body with the mass of the Earth simply cannot capture a body with the mass of our moon unless a variety of conditions are precisely met.
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This is because the relative mass of another planet in the Solar System or the combined mass of two binary stars can be calculated in units of Solar mass directly from the orbital radius and orbital period of the planet or stars using Kepler's third law, provided that orbital radius is measured in astronomical units and orbital period is measured in years.
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In 1811, he published an article with the title " Essai d'une mani�re de d�terminer les masses relatives des mol�cules �l�mentaires des corps, et les proportions selon lesquelles elles entrent dans ces combinaisons " ( " Essay on Determining the Relative Masses of the Elementary Molecules of Bodies and the Proportions by Which They Enter These Combinations " ), which contains Avogadro's hypothesis.
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:: By the way, falling speed does not depend of weight / mass Galileo's Leaning Tower of Pisa experiment ( actually, it " does " depend of the relative mass of the attracting bodies, in this case Earth and the person, but Earth is so ridiculously huge in comparison to the person, that two persons of different mass will suffer approximately the same attracting force towards Earth ).
