1. A moving object trajectory estimating device, comprising: a surrounding information acquisition part that acquires information on surroundings of a moving object; a trajectory estimating part that specifies another moving object around the moving object based on the surrounding information acquired by the surrounding information acquisition part and estimates a trajectory of the specified moving object based on individual information on the specified moving object; and a recognition information acquisition part that acquires recognition information on a recognizable area for the specified moving object, from a database stored in the moving object, or through communication with the specified moving object, the recognition information acquisition part acquires information that includes the recognizable area of the specified moving object based on at least one of communication information, that the recognition information acquisition part acquires through communication with the specified moving object, and shape information of a structure around a road, wherein the trajectory estimating part estimates the trajectory of the specified moving object based on the recognition information on the specified moving object acquired by the recognition information acquisition part without consideration of any information other than the information recognized by the specified moving object.