Saturday, May 19, 2012

Applied Mathematics - And Deep Space Exploration

Ladies and Gentlemen,

One more little piece of help from me...

If a spacecraft is orbiting Earth (why not?) then there is a balance between the forces that pull the spacecraft back to Earth (gravity) and the centrifugal forces resulting from the speed of the spacecraft (created by the launch rockets)... We can speak about an Earth orbit until a distance of 1.5 million kms far from the planet Earth - then the spacecraft has to be conceived in a relationship to the Sun...

However if a (let's say manned) spacecraft is speeding away from Earth's orbit then you cannot speak about a balance any more... There is only the speed created by the space rockets and no gravity of the Earth... As the spacecraft chases the astronauts (like during the acceleration of any vehicle) the astronauts are also chased by the rear or the "floor" of the spacecraft (speed is a vector)... And I think you could call such an occurrence "artificial gravity" (which was very important for human beings on longer journeys in deep space) because of the similarity to the gravity of Earth and other heavenly bodies...

In terms of mathematics:

a) orbit: 1 centrifugal force - 1 gravity = 0 gravity

b) deep space: 1 centrifugal force - 0 gravity = 1 gravity

I also have the feeling that an Earth orbit is a very special place - just because of zero-gravity... Once zero-gravity has been created a spacecraft should move along a straight line: the centrifugal force of the spacecraft and the gravity of Earth cancel one other - that means the spacecraft is attracted or influenced by nothing and therefore it should move along a straight line (the 1st law of Newton)... However this is not the practice and we don't even expect a movement by a straight line...

This can be explained by the following: a movement by an entirely straight line would mean a faster speed than the speed of light - because even light flies on a curved line... Why doesn't happen such a miracle to all spacecraft? Maybe because spacecraft are steered into a low Earth orbit and not towards other stars - which was also possible theoretically...

A straight line is the shortest connection between 2 points but spacecraft head to space only and that is maximum one point - that means you are far away from a straight line... If you added another vector to the main thrust of the rockets then the spacecraft was much more steered onto a straight line... And once the steering to a straight line is o.k. then the 1st law of Newton and other miracles should function as well...

Best wishes, Joseph de la Mikula and Team

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