Question

question 12 of 29 > the light of the inner star as it orbits the center of mass does not change. is redshifted. is blueshifted. what method might be used to detect the existence of the outer planet in this system? transit method planet pulsaring method direct detection radial velocity method

Explanation:

When a star orbits the center of mass, if it has a component of motion towards or away from us, its light will be Doppler - shifted. As it orbits, its radial velocity changes, causing redshift and blueshift periodically. For detecting an outer planet, the radial velocity method is commonly used. The gravitational pull of the planet on the star causes the star to have a small wobble, which can be detected as a change in its radial velocity.

Answer:

For the first part: is redshifted and is blueshifted (as it orbits, its radial velocity changes causing both).
For the second part: radial velocity method