Preliminary dissertation; Introduction; Book I: 1. Definitions, axioms, etc.; 2. Variable motion; 3. Equilibrium of a system of bodies; 4. Motion of a system of bodies; 5. The motion of a solid body of any form whatever; 6. On the equilibrium of fluids; 7. Motion of fluids; Book II: 1. Progress of astronomy; 2. On the law of universal gravitation; 3. On the differential equations of the motion of a system of bodies; 4. On the elliptical motion of the planets; 5. Theory of the perturbation of the planets; 6. Secular inequalities of the elements of the orbits; 7. Periodic variations in the elements of the planetary orbits; 8. Perturbations of the planets; 9. Second method of finding the perturbations of a planet; 10. The theory of Jupiter and Saturn; 11. Inequalities occasioned by the ellipticity of the sun; 12. Perturbations in the motions of the planets occasioned by the action of their satellites; 13. Data for computing the celestial motions; 14. Numerical values of the perturbation of Jupiter; Book III: 1. Lunar theory; 2. Numerical values of the coefficients; 3. Inequalities from the form of the earth; 4. Inequalities from the action of the planets; 5. Effects of the secular variation in the plane of the ecliptic; 6. Effects of an ethereal medium on the motions of the moon; Book 4: 1. Theory of Jupiter's satellites; 2. First approximation; 3. Second approximation; 4. Inequalities of the eccentricities; 5. Inequalities of the disturbing force; 6. Theory of Jupiter's satellites (continued); 7. Perturbation of the satellites in latitude; 8. Numerical versions of the perturbations; 9. Eclipses of Jupiter's satellites; Index.