Increasing the distance between two objects weakens the attraction.
With his equations, Newton was able to explain for the first time why the Moon stays in orbit around Earth. For years, nobody truly considered what that agent might be. He even apologized. In , after eight years of sorting his thoughts, Einstein had dreamed up literally--he had no experimental precursors an agent that caused gravity.
Einstein agreed with Newton that space had dimension: width, length, and height. Space might be filled with matter, or it might not. Einstein did. He theorized that a mass can prod space plenty. It can warp it, bend it, push it, or pull it. Your mass causes a depression in the stretchy fabric of space.
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The heavier you are, the more you bend space. Look at the edges of the trampoline--the warp lessens farther away from your mass. Thus, the same Newtonian relationships are explained and predicted mathematically with better precision , yet through a different lens of warped space. Take that, Newton, says Einstein. With regrets. If, as Newton claimed, gravity was a constant, instantaneous force, the information about a sudden change of mass would have to be somehow communicated across the entire universe at once.
This made little sense to Einstein.
By his reasoning, if the Sun disappeared suddenly, the signal for the planets to stop orbiting would logically have to take some travel time. And it would definitely take longer to arrive at Pluto than it would Mars. Nothing universally instant about that at all. What did Einstein propose as the missing agent of communication? Enter, again, his very useful space warp. Much like a stone thrown into a pond, a change in mass will cause a ripple in space that travels out from its source in all directions at light speed.
To properly analyze the physics, consider the figure below which shows a schematic of a rocket moving in the vertical direction. The system consisting of rocket and exhaust is shown as inside the dashed line. The principal of impulse and momentum is used here, governed by calculus to show us how certain equations are derived.
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Newton’s Third Law
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NEWTON’S LAWS IN SPACE TECHNOLOGY
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Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion)
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