I want to mount a motor on my tripod head and my camera on it.
Ideally it should run on a 12 volt (5Ah) battery or less, be able to spin constantly on both sides and at variable but low speed. If possible, it should be silent.
I have no experience with motors, I tried searching Google, forums, etc. but I still don't know how to choose the best option for these needs.
The camera wouldn't need to be tilted, so the weight distribution shouldn't change drastically.
If you have any recommendations or sources I could read, it would be really appreciated!
That is called a pan platform. Check Servocity.com for some examples. At absolute minimum, you need to specify the total weight of the load. Up to 100 pounds for this one:
Speed: 1 turn in 80~90 seconds up to 1 turn in 5~6 seconds or close to those ranges.
Weight: 4 kg max.
I will need to be able to turn it x° (0~5° precision) repeatedly to take a photo at each stop to create a large panorama, but I would also love to vary the speed to start and end slower to get smooth panning videos.
I will control everything with Arduino first than I'll control it from my phone.
I really don't know about torque... If the position of the camera+lens is important, for panoramas the camera would be attached vertically (portrait orientation, the lens would be a bit higher) but horizontally for videos.
Yes! I already tested sensors for that, I will also use it for long exposures to cancel the shot before the end if I detect vibrations (from the wind sometimes...) over a specific level.
If you want to control the position you will need a stepper (like you said) or DC gear motor with an encoder. if it were me building a battery powered project, I would go with the DC motor. Steppers are not very efficient so not as good as a DC gear motor for battery power.
Whichever you choose you will need a way to "home" or zero the motor at program startup to establish the initial position.
Very good question... For some time-lapse, it could last many hours but could only turn a little bit each hours. So the motor could be "sleeping" most of the time.
With steppers, most drivers have an enable input so that you can turn off the driver output stage to save current. The problem is that that removes power from the motor so it may not hold position. A DC gear motor, because of friction in the gear train, will better hold position with power off. That is why the DC motor is better for battery power.
Okey, not strictly specified.
Using power down thinking, especially for the motor, will pay off.
As other helpers already told, use DC motors. A few sensors like home switch and a position sensor, are low, or no, power consuming devices.