Difference between revisions of "Trajectory"
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==Origin== | ==Origin== | ||
New Latin ''trajectoria'', from [[feminine]] of ''trajectorius'' of passing, from [[Latin]] ''traicere'' to cause to cross, cross, from ''trans''-, ''tra''- trans- + ''jacere'' to throw | New Latin ''trajectoria'', from [[feminine]] of ''trajectorius'' of passing, from [[Latin]] ''traicere'' to cause to cross, cross, from ''trans''-, ''tra''- trans- + ''jacere'' to throw | ||
| − | *[ | + | *[https://en.wikipedia.org/wiki/17th_century 1696] |
==Definitions== | ==Definitions== | ||
*1: the curve that a body (as a [[planet]] or [[comet]] in its orbit or a rocket) describes in [[space]] | *1: the curve that a body (as a [[planet]] or [[comet]] in its orbit or a rocket) describes in [[space]] | ||
*2: a [[path]], [[progression]], or line of development resembling a physical trajectory <an upward career trajectory> | *2: a [[path]], [[progression]], or line of development resembling a physical trajectory <an upward career trajectory> | ||
==Description== | ==Description== | ||
| − | A '''trajectory''' is the [[path]] that a moving object follows through [[space]] as a [[function]] of [[time]]. The object might be a [ | + | A '''trajectory''' is the [[path]] that a moving object follows through [[space]] as a [[function]] of [[time]]. The object might be a [https://en.wikipedia.org/wiki/Projectile 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 [ | + | In [https://en.wikipedia.org/wiki/Control_theory control theory] a trajectory is a time-ordered set of states of a [https://en.wikipedia.org/wiki/Dynamical_system dynamical system] (see e.g. [https://en.wikipedia.org/wiki/Poincar%C3%A9_map Poincaré map]). [https://en.wikipedia.org/wiki/Trajectory] |
[[Category: Physics]] | [[Category: Physics]] | ||
Latest revision as of 02:41, 13 December 2020
Origin
New Latin trajectoria, from feminine of trajectorius of passing, from Latin traicere to cause to cross, cross, from trans-, tra- trans- + jacere to throw
Definitions
- 1: the curve that a body (as a planet or comet in its orbit or a rocket) describes in space
- 2: a path, progression, or line of development resembling a physical trajectory <an upward career trajectory>
Description
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 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 e.g. Poincaré map). [1]
