Everything about Trajectory totally explained
Trajectory is the path a moving object follows through space. The object might be a
projectile or a
satellite, for example. It thus includes the meaning of
orbit - the path of a
planet, an
asteroid or a
comet as it travels around a central mass. A trajectory can be described mathematically either by the geometry of the path, or as the position of the object over time.
In
control theory a
trajectory is a time-ordered set of
states of a
dynamical system (see for example
Poincaré map). In
discrete mathematics, a
trajectory is a sequence
Orbiting objects
If instead of a uniform downwards gravitational force we consider
two bodies orbiting with the mutual gravitation between them, we obtain
Kepler's laws of planetary motion. The derivation of these was one of the major works of
Isaac Newton and provided much of the motivation for the development of
differential calculus.
Further Information
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