How many Jovian Sunrises are there in one Jovian \"year\" on Jupiter? ***I alrea

Question

How many Jovian Sunrises are there in one Jovian "year" on Jupiter?

***I already know that one "year" on Jupiter is around 10,500 earth days***

I'm looking for the actual mathematics (Conversions and equations starting with Earth) behind figuring this out; as per the instructions below in the example. I'm trying to understand the conversions from start to end.

EXAMPLE: Mars takes 688 days to orbis the Sun and spins on its axis in 24 hours, 39 minutes and 35 seconds. How many "days" does a rover experience in one Martian "year"?

You have to convert these values to a common unit of time. I would in this case use minutes. Since all times given are Earth units - 688 x 24 hours = 16,512 hours x 60 minutes/hour = 990,720 total minute in one Martian year. A Martian day has 24 x 60 + 39 min = 1,479 minutes.   990,720 divided by 1,479 = 669.85 or 670 sols on Mars. [The NASA and Wikipedia sites list 668.599 sols, the differences are most likely because the Earth day is 23 hours, 56 minutes and 4 seconds long and I chose to ignore the 35 seconds in each Martian day, and if one uses the same mathmatic logic and seconds as the common unit of time . . .one arrives at the NASA/Wikipedia values. ]

Explanation / Answer

calculation:-

one jupiter year is 4332.59 days of earth

one jupiter day is 9hr55m 30s

4332.59/9h55m30s=10475792 jupiter days per jupiter year

we have to subtract 1 for orbiting the sun.

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