What do you mean? How do you see the relationship between AJJ and Aikido? Insofar as Morihei Ueshiba obtained his menkyo in Daito-Ryu Aiki-Jujutsu and instructed in Daito-Ryu AJJ before fully developing his Aikido then I do believe there is a correlation between Aikido and Aiki-Jujutsu. I would even go as far to say that Aikido and Aiki-Jujutsu are two sides of the same coin. In an interview Katsuyuki Kondo once said he thought there was no difference between Aikido and Daito-Ryu AJJ; although he did emphasize that the Aikido syllabus does not draw from all 118 techniques of the Daito-Ryu AJJ hiden mokuroko. So there are differences from a standpoint of how many Daito-Ryu AJJ techniques found there way into Aikido. Not to mention the principles of the triangle, circle, square that Ueshiba chose to emphasize. I believe they are articulated to a greater degree in Aikido?
What is the purpose of any of these techniques? What is the purpose of any of these martial arts?