The Mathematics Behind Why Rockets Can Escape The Gravitational Pull of the Earth

Konstantin-TsiolkovskyRobert Goddard’s liquid rocket never reached the 3 kilometer mark because of Tsiolkovsky’s Rocket Equation named after Soviet scientist Konstantin Tsiolkovsky (pronounced “con-stan-tyin tsel-kov-skee”). This equation states that as fuel increases for faster and further voyages, so too does the weight, becoming increasingly heavy as more and more fuel is added. Tsiolkovsky took into account the velocity of a rocket alongside its mass of payload, mass of fuel, and the mass of the rocket itself. The longer the engine burns, the more velocity the rocket will have, however longer burning means more fuel which adds weight and makes it more difficult to push upwards. To travel fast enough to deliver a rocket to space, most of the craft must be fuel. Scientists have battled with this question for decades and although mathematical constructs have been developed to explain the relationship between weight and thrust, no one has yet to develop an idea to get around this problem with currently available technologies. The equation developed to explain this limitation of space travel is △V^R = V^E x log^e (M^P + M^F + M^R / M^P + M^R). This effectively states that only a tiny portion of a rocket can be used to deliver payload, with notable cases being the Apollo missions which employed enormous rockets to carry just a few small astronauts and the things they needed into space. Tsiolkovsky theorized this in the beginning of the 20th century as his calculations demonstrated that kerosine wouldn’t be enough to go from the Earth to the moon with a single craft

The End of the Universe and the Big Crunch Theory


The likelihood of a Big Crunch in which the universe expands to the point that it then collapses inward upon itself is not very probable as mathematical calculations demonstrate that there simply isn’t enough mass in the entire universe to be able to revert into into an enormous compaction. The idea of the universe folding in upon itself can be visualized by imagining a person throwing a ball in the air. The Earth has enough mass to bring a thrown ball back down to the ground but if thrown faster than the speed of escape velocity which is 11.186 kilometers per second, a thrown ball would never come back down, in fact, it would travel an infinite distance over an infinite timespan before the Earth mathematically had enough time and mass to pull the ball back to its starting position. The universe is represented by the Earth in that it acts as a force upon other objects and the ball represents all matter throughout the universe in this thought experiment