There are at least 2 ways of looking for new planets.
One is to look for starts that are wobbling backwards and forwards a bit as the orbiting planet pulls on the star. This works best for big planets that are orbiting close to the star as they give a bigger, faster wobble than small or far away planets.
The second way works if the planet gets between us and the star it is orbiting. If it is a big planet then it will block some of the light from the star, so watching a star to see if its light gets dimmer regularly can tell us that there is a planet orbiting it.
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