Not only would there have to be a precise mathematical formula entered into the necessary equation, but also an inbuilt trajectory so exact, that the final outcome might produce a cataclysmic result, where all existing life as we understand it, might become extinct at that point if we even attempted to change orbits.
But why would anyone wish to change? Initially, the thought of exchanging one planetary orbit for another seems absurd, ridiculous even: But if we carefully explore the theory with a touch more precision, we begin to evaluate a potential disaster waiting to strike any life form on any planet with such a finite demise, the exchange of orbits of one planet for another, not only becomes essential, but fundamentally crucial if those on the other planet seek to survive.
We converted our star from a globular burning ball of gas, into a hot, fused vortex and allowed planetary life to become constructed on a methodical basis. The star would heat up, then cool down. With each of these cycles, any orbiting matter would slowly make its continuous approach to the star itself, before finally being swallowed by the vortex in one final act of fusion.
If we assume the planet Mars and our Earth started life as large gas giants out on the peripheral wall of our solar system, then each time our star cooled they slowly fell towards its centre, we offer a definitive reason at that point as to why evolution might apply conspicuously to all planets as each produce a gradual construction during their embryonic stage.
If we assume at that point this slow dilution of gas, carbon, hydrogen, oxygen will not abate during the life cycle of any solar system, we must also assume any planetary configuration has only a certain, durable life span. Once this life span is complete, a planet, should theoretically by left with no gas surrounding it, and only a barren lifeless rock to remind us of what it once was.
In other words, the erosion and dilution principle of any planet has been so greatly extended that only a corpse remains. You might like to picture this more vividly in your mind, by imagining how the atmosphere up a mountain is vastly thinner than that on the ground, and if you continued your journey into space, inevitably you would end up with no .oxygen whatsoever.
But if we momentarily reverse that analogy, and say, rather than you making a dramatic ascent towards the heavens, we bring them down to greet you, you should begin to understand that eventually, over hundreds of millions of years, any planet as it advances through its evolutionary cycle will naturally run out of gases altogether. If this happened on mars, the martian population could have faced some very tough, and difficult decisions. The first would be, as dilution effect took place, those living on the surface may perish, either through lack of oxygen or ultraviolet rays from our sun; along with any other creature that might inhabit their world with them.
Once this is identified, a few instant choices might have been made: They would have to gather food and fresh water from a place not affected by this process, and simultaneously prepare for an evacuation of their own world at some later date.
Alternatively they could introduce some high, technological thinking, and seek to halt the natural evolutionary process, and systematically bring into being an alternative world. But to do so they would literally need to accelerate the evolutionary process of a younger planet moving through the solar system behind them: Our earth.
It could be at this specific juncture in time that a proposal may have been made. I would imagine that scientist on mars suggested one of two things; possibly both. The first may have been to knock pluto from its positional orbit of one of the outer planets, maybe neptune, maybe uranus. Pluto could then transend through our solar system, pass directly between mars and the earth, and use their natural gravitational field to hook each other into the other's orbit, and allow pluto itself to continue its journey through to the sun.
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