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(Unfortunately the question did not fit in the box, but I have provided a link and can add it to the interview)We begin by considering the binary system. As the two stars are identical (i.e. they have equ...

When sketching a graph there are some important points to consider - if you can pinpoint these special places on your graph, you will be able to sketch the whole shape of the graph.
Intercepts - the...

Newton's law of gravitation -> GPE = GMm/r - GMm/(r+h)GPE = GMm(1/r - 1/(r+h))GPE = GMm(h)/(r(r+h))r >> h -> GPE ~ (m)(GM/r^2)h = mgh

Let's prepare a diagram with the Sun on the right, Moon in the middle and Earth on the left. Their centres are collinear. Moreover, draw right angled triangles such that the right angle opens from the cen...

Since the matchbox is of uniform density, the centre of mass is at the centre. In order to accelerate it horizontally, it must have zero resultant moment about the centre of mass, else it will rotate and ...