What is the Maximum Error in Predicting Solar Eclipse Times on Jupiter?

[sparkle123]

Solar Eclipse Problem (a math problem, not about astronomy)

Homework Statement

To a good approximation, Earth and Jupiter move around the
Sun in circular orbits of 1.49 x 10⁸ km and 7.79 x 10⁹ km
radius, respectively. What is the maximum error that can
arise in the prediction of solar eclipse times (as observed from
Earth) on Jupiter caused by one of its moons if one fails to
take into account the variation of the relative position of the
two planets?

Answer: 2.6 x 10³

Homework Equations

radius of earth: 6.37 x 10³ km

The Attempt at a Solution

I think error happens when Earth and Jupiter are aligned. But the radius of Jupiter is not given. Please help!

Thanks!

 

[tiny-tim]

hi sparkle123!

the solar eclipse means the moon of Jupiter passing in front of the sun,

which we can tell from Earth because we see the shadow of the moon passing across Jupiter

 

[sparkle123]

Thanks tiny-tim! :)
Could you please give some advice on how to proceed?