Please see my answer inline.

In my case, the nb of users is almost the same all day, does that mean I
> have to put "1" for the ramp-up period ?
>
If the machine running jmeter is not good enough, 500 thread cannot be
started in 1 second. Are you ok if it's not 500 concurrent thread at 1st
sec?

Also how can I simulate a test day during 8 hours? Is the scheduler (with
> start time and end time) useful for that ?
>
If you'd like to test for 8 hour and 1 time, it's ok to use jmeter
scheduler. If you'd like to run some kind of longevity test for few days,
you may need to consider OS scheduler to execute the script daily.

How do I set my script to set up 10 operations per user per hour ?
>
Throughput Controller should fit your requirement
http://jmeter.apache.org/usermanual/component_reference.html#Throughput_Controller

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