Question

Earth revolves around the sun every

year. Jupiter revolves around the sun
every 12 years. If Earth and Jupiter.
passed the same point of the sun-
sometime in 2002, when will they
pass that point together again?

Answer 1

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:

Answer 2

2026

Given :

• Time taken by Jupiter to orbit around the Sun : 12 years
• Jupiter and our planet passed the same point last in 2002

To find :

• The year they'll pass the same point together

Solution :

Since it takes 12 years to Jupiter to revolve around the Sun and one year for earth to do the same , hence, the time they'll pass through the same point would be every 12 years since the last complete revolution.

Therefore,

• The year Earth and Jupiter passed through the same point given in the record = 2002
• The last time they both passed through the same point : 2002 + 12 years = 2014
• The next time they'll pass through the same point = 2014 + 12years = 2026

Hence, 2026 is the year Jupiter and Earth will next pass through the same point.