No digital camera handles ISO 200 without noise, but some have less noise at ISO 200 than others.
How visible noise is in an image is very dependent on exposure accuracy.
Another issue with doing night photography with digital is that most of the image data in a digital photograph is in the brightest parts of the image.
Fully 1/2 of all the image data is in the brightest stop the image sensor can capture. The next darker stop has 1/2 of the image data in the 1/2 that remains, and so on with each stop the image sensor can capture.
If we assume an image sensotr can capture 6 stops of light and the range is, say, 4096 levels of signal, the brightest stop will have 2048 levels and the darkest stop will only have 64 levels. Noise will be most visible in the darker stops.
If you have a scene that has no movement in it, you can lower your ISO and increase the exposure time to get the same exposure density, ISO 800 to ISO 200 is only 2 stops, but your D3000 has ISO 100 so you have 3 stops from ISO 800.