Answer:
To determine when Earth and Jupiter will pass the same point in their orbits again, we need to find the least common multiple (LCM) of their orbital periods.
The orbital period of Earth is approximately 1 year, while the orbital period of Jupiter is approximately 12 years.
To find the LCM, we can list the multiples of 1 year and 12 years and find the smallest number that appears in both lists:
Multiples of 1 year: 1, 2, 3, 4, 5, ...
Multiples of 12 years: 12, 24, 36, ...
From these lists, we can see that the smallest number that appears in both lists is 12.
Therefore, Earth and Jupiter will pass the same point in their orbits together again after 12 years.
So, if Earth and Jupiter passed the same point in the Sun in 2002, they will pass that point together again in the year 2014 (2002 + 12 = 2014).
Explanation: