Lagrange: The Flower of Rin-ne (Japanese: 輪廻のラグランジェ, Hepburn: Rinne no Raguranje) is a Japanese anime television series produced by Xebec and Production I.G and directed by Tatsuo Sato and Toshimasa Suzuki, written by Shotaro Suga, original character design by Haruyuki Morisawa and music by Saeko Suzuki & TOMISIRO.

A manga accompaniment began serialization in Enix's Young Gangan magazine and a light novel from Media Factory, both from September 2011.

However, her life takes an unexpected and surprising turn when a mysterious alien from the planet Le Garite named Lan arrives on Earth and asks her to operate a strange robotic aircraft-like vehicle (called a Vox Unit) which she encountered while drowning ten years ago.

Motivated by her desire to protect the city of Kamogawa and its people, Madoka agrees to pilot the awakened Vox Unit to fight against dangerous aliens that have come to wreak havoc on Earth.

[13] A manga accompaniment written by Shotaro Suga and illustrated by Kimitake Yoshioka, titled Lagrange: The Flower of Rin-ne ~Dawn of Memoria~ (輪廻のラグランジェ 〜暁月のメモリア〜, Rinne no Raguranje ~Akatsuki no Memoria~), began serialisation in Young Gangan magazine from September 2, 2011.

A PlayStation 3 video game developed by Bandai Namco Entertainment, titled Lagrange: The Flower of Rin-ne -Kamogawa Dream Match- (輪廻のラグランジェ -鴨川ドリームマッチ-, Rinne no Ragurenje -Kamogawa Dorīmu Macchi-), was released on the Kamogawa Days Hybrid Disc on August 23, 2012.