structural:reformatting, information:extraction, linguistic:voice_change
A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete trajectory is defined by position and momentum, simultaneously. The mass might be a projectile or a satellite. For example, it can be an orbit — the path of a planet, asteroid, or comet as it travels around a central mass. In control theory, a trajectory is a time-ordered set of states of a dynamical system. In discrete mathematics, a trajectory is a sequence k ∈ N of values calculated by the iterated application of a mapping f to an element x of its source.