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

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The discussion focuses on calculating the maximum error in predicting solar eclipse times on Jupiter as observed from Earth, particularly due to the relative positions of the two planets. The maximum error identified is 2.6 x 10^3 km, which arises when Earth and Jupiter are aligned. Participants clarify that the solar eclipse involves a moon of Jupiter passing in front of the Sun, casting a shadow on Jupiter that can be observed from Earth. There is a request for guidance on how to approach the problem further, highlighting the need for additional information about Jupiter's radius. The conversation emphasizes the importance of considering planetary alignment in eclipse predictions.
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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!
 
Last edited:
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hi sparkle123! :smile:

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

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