Homoclinic orbits are trajectories in dynamical systems that connect a saddle point to itself. In celestial mechanics, these orbits can indicate complex behaviors in the motion of celestial bodies, especially in systems where gravitational interactions lead to intricate dynamics. The presence of homoclinic orbits often suggests the existence of chaotic behavior and can be vital in understanding stability and bifurcations within celestial mechanics.
congrats on reading the definition of Homoclinic Orbits. now let's actually learn it.