Lets start with my reply to your Arthur C Clarke question
Arthur C Clarke
Yes Arthur C Clarke was a well known science fiction writer with a vivid imagination and I read many of his books as a boy. I always knew that his stories were based on fiction / fantasy so we all thought his paper on creating a so-called stationary satellite was also fantasy.
I was amazed to learn that he had a serious side to his work.....
So, you were a fan of his, and yet you had no idea that he wrote over a dozen non-fiction books spanning from 1950 to 1963, the time when you were supposedly doing your alleged physics degree.
Interestingly, one of those books, written in 1954 was
"The Exploration of the Moon" in which he examines some of the methods of getting to the moon, addressing some of the very things that you claimed nine years later were impossible.
when he announced he had worked out that it was possible to have an object in so called stationary orbit.
You seem to still be labouring under the misapprehension that it was Clarke who first thought of the idea of a geostationary orbit.
IT WAS NOT!!! The idea was first mooted in 1928 by Herman Potocnik, an Austro-Hungarian rocket scientist, in a book called
"The Problem of Space Travel - The Rocket Motor". Science fiction author George O. Smith also published the idea in his 1928
"Venus Equilateral" series.
What Clarke did was take this idea and add the idea of a radio relay station. He presented a paper to Wireless World about it in 1945. Here is that paper...
https://dl.dropboxusercontent.com/u/98915197/ApolloHoax/extra_terrestrial_relays._clarke.wirelessworld._octubre_1945_6cf53078.pdfClarke is actually credited with "inventing" the
communications satellite. It was Harold Rosen, an engineer at Hughes Aircraft Co, who is credited with "inventing" the
geostationary satellite. He designed the first operational geosynchronous satellite, Syncom 2, which was launched on a Delta B rocket from Cape Canaveral July 26, 1963, around the time you, your classmates and your professor (according to you anyway) were still believing that GEO was "fantasy"
We studied Clarke’s equations in our Mathematics classes as well and of course they were proven to be correct in theory. He explained how it was possible to have the object in orbit round the earth apparently remaining in the same spot because it was travelling round the centre at exactly the same speed as the earth
What's to study? In the appendix, Clarke does mention the Tsiolkovsky rocket equation, V =
v log
eR (more correctly V=
v log
n M0/M1), but that was well known as it had been around since the late 1890's. He also quotes R
e = R(α+g)/α, a basic orbit equation that has been (AFAIK) around since Kepler. The only other equation I can find in his paper relates to the field strength of a half-wave dipole....
e=6.85√p/
d . This is to do with the communications side of the issue and has nothing to do with orbital mechanics.
Sure he has a few nice diagrams and sketches, but nowhere does he mention any of the equations for Kepler's laws of planetary motion, the circular motion principles of satellites, the mathematics of satellite motion or the energy relationships for satellites, all of which are the types of equations you would need to look at,
and none of which can be credited in any way as "Clarke's Equations"!!Of course we didn’t have the technology then to test out his theory for quite some time.
It was available early in the same year that you claim to have been doing your degree, and the principles were well understood many years before that!
You don't have to actually send a satellite into GEO to show that it works!!!