A force that stretches and squeezes an object due to the difference in gravitational pull across it.Tidal force is the differential gravitational pull that stretches and squeezes an object when it is in a non-uniform gravitational field. It arises because gravity weakens with distance, so the side of an object closer to a massive body feels a stronger pull than the far side, leading to deformation. This force is responsible for ocean tides on Earth, the tidal locking of moons, and the tidal disruption of celestial bodies that venture too close to a planet or black hole.
The concept was first analyzed by Isaac Newton in his Principia (1687) to explain ocean tides. Later, Pierre-Simon Laplace developed a more complete dynamical theory of tides in the 18th century.
Consider an object of finite size in a gravitational field. The gravitational acceleration varies across the object, creating a net stretching along the line connecting the object and the source, and a compression perpendicular to it. Mathematically, the tidal force is the gradient of the gravitational field, described by the tidal tensor. For a spherical body, this results in a prolate (cigar-shaped) deformation, which can lead to internal heating or even breakup if the force exceeds the object's self-gravity.
Tidal forces are crucial in planetary geology (e.g., volcanic activity on Jupiter's moon Io), in the design of satellites and spacecraft that must withstand tidal stresses, and in astrophysics for understanding tidal disruption events around black holes.
The Moon's tidal force on Earth is slowly increasing the length of our day by about 2.3 milliseconds per century, while also pushing the Moon away at 3.8 centimeters per year.











