How would it be possible to calculate the orbital parameters of a planet from that planet's moon?

My story takes place on a moon in orbit around a Gas giant. The moon has 0 tilt relative to the sun but the gas giant it orbits does have an eccentric orbit around its parent star. (it has an orbit of about 1 year)

So my question is simply, by using astronomical observation would it be possible to calculate the orbital parameters of the gas giant from the moon? There is also a catch in that my characters want to be able to determine this within a relatively short timespan (the situation is pretty dire). So any plan that involves waiting for a for a long period of time won't work.

The whole point of this would be to determine when winter will end and how severe it will be, (they also want to do the same for summer). Thanks in advance for answering I know it's probably a tough question.

posted about 7 years ago

Halo CE Magnum‭

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