1 N-body problem 111.1 Self-gravitating systems of massive points . . . . . . . . . . . . . 141.2 Fundamental rst integrals . . . . . . . . . . . . . . . . . . . . . 171.2.1 Conservation of momentum . . . . . . . . . . . . . . . . 181.2.2 Angular momentum conservation . . . . . . . . . . . . . 211.2.3 Energy conservation . . . . . . . . . . . . . . . . . . . . 231.3 Barycentric and relative systems . . . . . . . . . . . . . . . . . . 251.4 N-body...