Trajectory

Trajectory refers to the path that an object follows through space as a function of time. The concept is used in a variety of fields, including physics, mathematics, astronomy, and engineering.

Definition

In physics, a trajectory is the path that a moving object follows through space as a function of time. The object might be a projectile or a satellite, for example. It could also be a particle moving under the influence of particular forces, such as gravity.

Mathematical Description

In mathematics, a trajectory is a sequence of values of a dynamical system. In a discrete dynamical system, the trajectory is a sequence of real numbers, while in a continuous dynamical system, it is a continuous function of time.

Trajectories in Astronomy

In astronomy, the trajectory of a celestial body refers to its path around a center of gravity. For example, the trajectory of the Earth around the Sun is an ellipse.

Trajectories in Engineering

In engineering, the term trajectory can refer to the path taken by a vehicle, missile, or other moving body in space. Engineers often need to calculate the optimal trajectory for a vehicle to reach a certain destination.

See Also

• Orbit
• Projectile motion
• Parabolic trajectory
• Hyperbolic trajectory
• Elliptical orbit

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