The Interplanetary Alignment Celebration DayClassical Mechanics Level pending
In the XYZ-11 planetary system there are two planets, of which the closest to the XYZ-11 star is inhabited. It takes 1.5 terrestrial years for the inner planet to make a revolution around the star, while it takes 2.5 terrestrial years for the outer planet.
On the inner planet, \( \eta \beta \), a big celebration is made every time the two planets are aligned. How many terrestrial years does it take for this event to take place?