What is gravity? Would I be right in saying science dodges the question by simply defining a force to be anything that causes movement? In which case, although forces obey the same rules (i.e. their properties can be measured, and they have fields), they could all be different. Gravity, magnetism, electrical and the others might have a common cause, but I don't think there's a complete theory or explanation yet?
Without understanding the maths, I was happy with Einstein's proposition that mass puts a dent in the space-time continuum, allowing the orbit of this satellite to be calculated.
But I think the maths is just a model. It doesn't prove 'space-time' really exists, only something like it obeys the same rules. I don't pretend to understand it. If space-time exists, then what is 'space' and what is 'time'? My head hurts!
Dave