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has there ever been tests in space to test general relativity at it most basic raw form at free orbit and try to orbit a small ball mass around a bigger heavyer ball mass (say like LAGEOS) ...
In 1956, the German-American physicist Friedwardt Winterberg proposed a test of general relativity (for time slowing in a strong gravitational field) using accurate atomic clocks placed in orbit inside artificial satellites. (Later, calculations using general relativity determined that the clocks on GPS satellites would be seen by Earth's observers to run 38 microseconds faster per day, and this was corrected for in the design of GPS.)
... why is it that after billions of years the energy that a sun would use hasnt made suns mass smaller ...
... over the entire life of the Sun to date [loss of mass] is about 3.1 x 10^29 grams. The mass of the Sun is 4 x 10^33 grams so this loss equals 0.008 percent of its current mass.
...The behavior of a star now depends on its mass, with stars below 0.23 solar masses becoming white dwarfs directly, while stars with up to ten solar masses pass through a red giant stage. More massive stars can explode as a supernova, or collapse directly into a black hole.
Ok .with what we do know about physics here on earth how much fuel should ow sun used in its life time