How many Jovian Sunrises are there in one Jovian year on Jup

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. ]

Solution

I know that one Jupiter year have 4332.59 Earth days and one Jupiter day have 9h 55m 30.0s .

Then Jupiter days per Jupiter year = 4332.59 days / (9h 55m 30.0s) -1

= (4332.59*24 hrs)/ (9 +( 55/60)+( 30/2400) hrs) -1

= 10,475.792 .
So there are 10,475.771 Jupiter days in one Jupiter tropical year.

Then we can say that one Jovian \"year\" on Jupiter have 10,476(appros.) Jovian Sunrises.