Its Possible that there is an alien mothership hovering above earth

An entertaining debate I am looking forward to. My opponent cleared up the bit about hovering, however, I do wish to point out that the second definition does not apply to the situation since there is no way "to keep" an alien mothership "lingering about". Now onto my points:By saying that something is "possible" you are saying that you do not know for certain.Take these examples:"It is possible for Mitt Romney to win the 2012 presidential election.""Did you get an A on your paper?" ... "It's possible."As you can see the word "possible" implies something that is not known. That being said..."a proposition is logically possible if there is some coherent way for the world to be" [1]coherent - logically connected; consistent [2]In order for this definition and the resolution to be true then there has to be some logically connected way that an alien mothership has been suspended within the area of Earth's atmosphere without being detected by humanity.Why the resolution is illogical based on this conclusion. Proximity:For an alien mothership to hover over Earth we have already established that the ship must be within the confines of the atmosphere. The exosphere is the farthest reaching part of our atmosphere and extends to a maximum range of 10,000 km [3]. This may seem like a lot but it is in fact 30x closer to Earth than the moon. (384,000 km away). [4] i. Size - For a mothership to reach Earth from even the closest star, 4.2 lightyears away, the ship would have to be immeasurable in size. A large ship 30x closer to Earth than the moon would eventually disrupt something that would be detectable to humans such as radio waves, light, space junk or even solar winds thereby giving away its existence. Orbit:The word hovering implies that the spaceship in question is suspended over the Earth. For the definition to be true the alien mothership would have to be locked over the Earth without being in motion meaning it would have to counteract the orbital forces being exerted on it. According to Newton's Laws: "The acceleration of each body is equal to the sum of the gravitational forces on it, divided by its mass, and the gravitational force between each pair of bodies is proportional to the product of their masses and decreases inversely with the square of the distance between them." [6]This statement says that the mothership would have to put out a counter force exactly equal to the orbital forces acting upon it. Given the presumed size of the spaceship and it's relatively near distance to Earth the ship would have to produce massive amounts of energy in order to maintain its position over the Earth without moving. This force would have to take the form of some sort of propulsion which in turn would give off light or heat making the mothership detectable to humans. Also in order to maintain complete suspension the mass of the mothership would have to remain exactly the same or else the orbital forces would change and the ship would then move into some sort of orbit. Other Detectable Factors: A large ship supporting life would have to give off some sort of externalities such as: waste, signals and/or energy (in the form of heat or light). All living things produce waste, and since the laws of life are universal, the aliens would be no exception meaning a large group of living things hovering over Earth would then produce some sort of waste that would have to be ejected from the ship or destroyed and eventually ejected. A mothership would also most likely give off some sort of radio or other communication signals that would be traceable by humans on Earth. Also in order to run an environment in space that living things could survive in energy will have to be both collected and expended (in addition to the energy maintaining its stationary position over Earth) and would be detectable. From these points one can see that it is not some logically connected way that an alien mothership could be stationary within the exosphere and not be detectable by humans.On to Pro. [1] http://en.wikipedia.org...[2] http://dictionary.reference.com...[3] http://en.wikipedia.org...[4] http://en.wikipedia.org...(astronomy)[5] http://www.astro.wisc.edu...[6] http://en.wikipedia.org...