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Answer:Detection methods to measure the gravitational tug of a planet on its star that is allows us to estimate planetary mass is: the astrometric and doppler methods.Explanation:Doppler spectroscopy: It is a method for finding extrasolar planets and brown dwarfs from radial-velocity measurements through monitoring of doppler shifts in the spectrum of the planet's parent star is called doppler spectroscopy. It is also known as the radial-velocity method or the wobble method.Astrometry: Method that determines the motion of a star by making accurate measurements of its position on the sky is called astrometry. This method can be used to recognize the planets around a star by measuring little changes in the position of the stars.Learn more about planets:https://brainly.com/question/14581221#SPJ4