How would you do the question in the attachment below?
Thanks in advance.
This one is
nasty - I remember this, it is a copy of a question from a 2004 paper, with some dates changed!
So the idea is this. Consider Kepler's Law:
Mars has a larger orbital radius than the Earth, so according to this equation, it must also have a larger orbital period. We can't calculate exactly how much, especially given that the diagram is not to scale (or at least specified to be), but we know that it is larger. What does this mean? Well, in the 10 months time span you have been given, earth will complete about 5/6 of a revolution. Mars will complete less than this - I'd say about 1/2 of a revolution might be what you want.
We also know that they are going anticlockwise. Why? Well, that's just what we need for this scenario to make sense. Putting all that together, I'd get this:
Not 100% confident on this, but this would be my best crack (also excuse the shitty diagram lol)