What are the generalizations of the laws of planetary motion made by I. Newton?

Kepler’s first law. The class of trajectories along which one space body can move in the gravitational field of another space body has been expanded.
Kepler’s second law. The modern formulation: “The sectorial velocity of one cosmic body in the gravitational field of another is a constant value.” Since the sectoral velocity is a vector quantity, Newton’s generalization also means that the space body moves along a curve in the plane of which the space body is located, which forms the gravitational field.
The third generalized Kepler’s law is formulated for non-inertial frames of reference, in which reference bodies are any free space bodies.