Neptune is a gas giant, which means that it doesn’t have a solid surface like Earth. This means that earthquakes (as we know them on Earth) don’t occur.
Also did you know that on Earth, earthquakes last up to 2min, but on the Moon, “Moonquakes” can last more than 10 minutes ?…that’s because there is no water like the Earth ocean to attenuate the vibration of the quakes. Have a look there : http://science.nasa.gov/science-news/science-at-nasa/2006/15mar_moonquakes/
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