Planetary orbital migration driven by tidal interactions with the star or other bodies.Tidal migration is a process by which a planet's orbit changes over time due to tidal interactions with its host star or other celestial bodies. These interactions cause a transfer of angular momentum and energy, gradually altering the planet's orbital distance and eccentricity. This mechanism is particularly important for understanding the orbits of 'hot Jupiters'—giant planets that orbit very close to their stars—as they are thought to have formed farther out and migrated inward.
The concept of tidal migration was developed in the late 20th century, with key contributions from researchers like Peter Goldreich and Scott Tremaine, who studied the tidal evolution of planetary systems.
Tidal forces arise because the gravitational pull on the near side of a planet is stronger than on the far side, creating a tidal bulge. If the planet's rotation is not synchronized with its orbit, this bulge is not aligned with the line connecting the planet and the star, leading to a torque that changes the planet's orbital angular momentum. Over long timescales, this can cause the planet to spiral inward or outward, and also circularize its orbit.
Tidal migration is used to explain the orbital evolution of exoplanets, particularly the existence of hot Jupiters and the circularization of their orbits, and is also relevant for understanding the dynamics of moons in our solar system.
Tidal migration is also responsible for the fact that the Moon is slowly drifting away from Earth at a rate of about 3.8 centimeters per year.
| Λ̃ | variable | Dimensionless tidal deformability parameter — tidal deformability |
| r_t | variable | Tidal disruption radius — radius metre |
| R_* | variable | Radius of the star — radius metre |
| M_\bullet | variable | Mass of the black hole — mass kilogram |
| M_* | variable | Mass of the star — mass kilogram |
| t_peak | variable | Time from disruption to peak accretion rate — time second |
| M | variable | Mass of the black hole — mass kilogram |
| M_p | variable | Mass of the disrupted star — mass kilogram |
| R_p | variable | Radius of the disrupted star — radius metre |
| v_c | variable | Circular orbital speed — velocity metre per second |
| M | variable | Central mass — mass kilogram |
| r | variable | Orbital radius (distance from center of mass) — radius metre |
| G | constant | Newtonian gravitational constant — gravitational constant = 6.67430e-11 metre cubed per kilogram per second squared |























