Hoshitoki no Kanata

Main character is an ordinary student who belongs to the Astronomy Club. Together with his club friends he enjoys night star observation. One day he witnesses a strangely shining meteor. "UFO?" "Human soul?" The next day new transfer student Asuka comes to class. She behaves differently from other students, and things start to break around her. When she meets protagonist eye-to-eye, she quietly says "Your time is about to end".