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Recall that kinematics is the study of motion and, specifically, it is the study of the relationships between position, velocity, acceleration, and time.
There has been quite a bit of scholarship on the history of the space race, but collaboration in space has received little attention and has usually been dismissed as a propaganda side show. This book thus fills a critical gap by showing the importance of collaboration in space as an antidote to Cold War hostilities and as an important yet underappreciated episode in the development of science and technology in the twentieth century.
As an appendix, we can look briefly at the central ideas of General Relativity (though we are limited, since much of the maths is beyond our scope). We prepare the ground with a number of thought experiments, and then discuss, in outline, the geometrical ideas we have to use. We can get a sense of what Einstein's equation is doing, and we look at some solutions of Einstein's equation (including the Schwarzschild metric), describing possible spacetimes.
Introducing the Minkowski diagram and Minkowski space; how do we represent motion? And how can we represent the phenomena of length contraction and time dilation graphically?
In this chapter we will examine some immediate consequences of the axioms of , and develop some qualitative understanding of these before we mathematise things in the .
In the , we have learned how to describe motion; we now want to explain it. In newtonian mechanics, we do this by defining quantities such as momentum, energy, force and so on. To what extent can we do this in the context of relativity, with our new 4-vector tools?
Having described motion, we can now explain it. We introduce the conserved 4-momentum, and with it the ideas of energy-momentum, conserved mass, and scattering.