Sora no Method

Synopsis

Nonoka Komiya moves with her family to her old hometown of Lake Kiriya City, which now has a large flying saucer floating above it. While her father is out the next day, Nonoka encounters a strange girl named Noel, who claims they met each other a long time ago. As Nonoka tries to remember who Noel is, she gets mad at her when she assumes she had cracked a photo of her late mother whilst unpacking her things, telling her not to appear before her again. Upon later learning that the crack was actually an accident on her father's part, Nonoka searches for Noel in order to apologise, during which she remembers knowing Noel from her childhood, realising she had been waiting at the observatory for her return. As the two reunite at the observatory, Noel states her desire to fulfill her promise to grant Nonoka's wishes.

(Source: Wikipedia)