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You are a pulsar astronomer, and you have been measuring the pulses from a particular milli-second pulsar for several hundred days. You find that they do not arrive at regular intervals - sometimes they arrive a little early and sometimes a little late. You assume that this is because the pulsar is moving closer to and further from the Earth. Here is a plot of your data:

You know that the pulsar weighs \( 2.8 \times 10^{30} {\rm kg}\).

HQ1.1 PLANET ORBIT (4 points possible)
How far (in metres) is the planet from the Pulsar?

Assume that \( G = 6.67 \times 10^{-11} {\rm m^3 kg^{-1} s^{-2}} \)

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HQ1.2 PLANET MASS (5 points possible)
If the planet is in an edge-on orbit, what would its mass be (in kg)?

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