# Trajectory

## Path of a moving object / From Wikipedia, the free encyclopedia

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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.[1] 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 (see e.g. Poincaré map). In discrete mathematics, a trajectory is a sequence $(f^{k}(x))_{k\in \mathbb {N} }$ of values calculated by the iterated application of a mapping $f$ to an element $x$ of its source.