1. Introductory chapter; 2. General dynamical principles; 3. Ellipsoidal configurations of equilibrium; 4. The gravitational potential of a distorted ellipsoid; 5. Pear-shaped configurations of equilibrium; 6. Motion when there are no stable configurations of equilibrium; 7. The motion of compressible and non-homogeneous masses; 8. The evolution of gaseous masses; 9. The evolution of rotating nebulae; 10. The evolution of star-clusters; 11. The evolution of binary and multiple stars; 12. The origin and evolution of the solar system.