Crossword clues for trajectory
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Trajectory \Tra*ject"o*ry\, n.; pl. Trajectories. [Cf. F. trajectoire.] The curve which a body describes in space, as a planet or comet in its orbit, or stone thrown upward obliquely in the air.
Douglas Harper's Etymology Dictionary
"path described by a body moving under the influence of given forces," 1690s, from Modern Latin trajectorium, from trajectorius "of or pertaining to throwing across," from Latin traiectus "thrown over or across," past participle of traicere "throw across, shoot across," from Latin trans- "across" (see trans-) + icere, combining form of iacere "to throw" (see jet (v.)). Middle French and Middle English had trajectorie as "end of a funnel," from Latin traiectorium.
Wiktionary
n. 1 (context astronomy space English) The path of a body as it travels through space. 2 (context cybernetics English) The ordered set of intermediate states assumed by a dynamical system as a result of time evolution. 3 Metaphorically, a course of development, such as that of a war or career.
WordNet
n. the path followed by an object moving through space [syn: flight]
Wikipedia
A trajectory or flight path 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 can be an 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). In discrete mathematics, a trajectory is a sequence (f(x)) of values calculated by the iterated application of a mapping f to an element x of its source.
A trajectory is the path a moving object follows through space.
Types of trajectories include:
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Trajectory of a projectile
- Lofted trajectory—a particular type of non-minimum energy ballistic trajectory
- Trajectory of a point in a moving fluid
- Trajectory of a robotic motion
- phase space trajectories of dynamical systems
Trajectory may also refer to:
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Trajectory (DC Comics), a DC Comics character
- Trajectory (Flash episode), an episode of the U.S. TV series The Flash that includes the character
- Trajectory Hermeneutics, a liberal teaching of Christian Postmodernism
- Trajectory Inc., an American ebook platform
- Trajectory optimization, the process of minimizing or maximizing performance
- Trajectories (magazine), a 1980s tabloid magazine
- Also in finance the end point from source spending (where the money goes)
In cricket, trajectory is known as flight or loop
In writing, trajectory is an informative discussion (or map) of the various avenues texts can travel as they both affect, and are affected by, the world.
In fluid mechanics, meteorology and oceanography, a trajectory traces the motion of a single point, often called a parcel, in the flow.
Trajectories are useful for tracking atmospheric contaminants, such as smoke plumes, and as constituents to Lagrangian simulations, such as contour advection or semi-Lagrangian schemes.
Suppose we have a time-varying flow field, $\vec v(\vec x,~t)$. The motion of a fluid parcel, or trajectory, is given by the following system of ordinary differential equations:
$$\frac{d \vec x}{dt} = \vec v(\vec x, ~t)$$
While the equation looks simple, there are at least three concerns when attempting to solve it numerically. The first is the integration scheme. This is typically a Runge-Kutta, although others can be useful as well, such as a leapfrog. The second is the method of determining the velocity vector, $\vec v$ at a given position, $\vec x$, and time, t. Normally, it is not known at all positions and times, therefore some method of interpolation is required. If the velocities are gridded in space and time, then bilinear, trilinear or higher-dimensional linear interpolation is appropriate. Bicubic, tricubic, etc., interpolation is used as well, but is probably not worth the extra computational overhead.
Velocity fields can be determined by measurement, e.g. from weather balloons, from numerical models or especially from a combination of the two, e.g. assimilation models.
The final concern is metric corrections. These are necessary for geophysical fluid flows on a spherical Earth. The differential equations for tracing a two-dimensional, atmospheric trajectory in longitude-latitude coordinates are as follows:
$$\frac{d \theta}{dt} = \frac{u}{r \cos \phi}$$
$$\frac{d \phi}{dt} = \frac{v}{r}$$
where, θ and ϕ are, respectively, the longitude and latitude in radians, r is the radius of the Earth, u is the zonal wind and v is the meridional wind.
One problem with this formulation is the polar singularity: notice how the denominator in the first equation goes to zero when the latitude is 90 degrees—plus or minus. One means of overcoming this is to use a locally Cartesian coordinate system close to the poles. Another is to perform the integration on a pair of Azimuthal equidistant projections—one for the N. Hemisphere and one for the S. Hemisphere.
Trajectories can be validated by balloons in the atmosphere and buoys in the ocean.
Usage examples of "trajectory".
We also find in Appendix 1 that if the object is a member of the currently observed family of objects on such trajectories, the lifetime against collision exceeds the age of the solar system.
It was looping, it seemed, on a strange metastable orbit that caused it to fly, on decades-long trajectories, back and forth between the two stars.
Joe practiced with his musketoon in the mountains mastering the trajectories of a howitzer, careful to let himself be seen only from far away.
To distinguish the ensuing trajectory of the photon from the previous trajectories of the electron and positron, we follow a traditional physics convention and draw it with a wiggly line.
The run-to-enable was the torpedo flight from the launching submarine to a point on its trajectory where it would arm the warhead and begin to start pinging active sonar, and to begin its snake-pattern wiggle to search for the target.
Tsiolkovskigrad, but would not have a launch window to SPS-5 for another forty-five minutes and their minimum-time trajectory required a fuel-slurping planar change.
An asteroid hollow has been diverted from its Martian orbit into a powered sunward trajectory.
His armor gaped open, and, with a deft twist of his wrist, Basse threw the dagger, an underhand motion, a flat trajectory, powerful and true, he had practiced since he was six.
He threw another blazebomb into the ranks and it blew as he crouched, ants flying everywhere but still more and more from the cube in the sand, globular eyes, and he aimed more carefully and missed too much adrenalin but the next bomb flew true with a slight arcing trajectory only meters above their heads and down into them and right into the mouth of the cube, right on the upward sloping ramp, and blew just right.
Brim immediately hauled the little starship around on a low-altitude trajectory perpendicular to the cableway, watching the lorry speed away in the distance.
I have watched copulating couples moving along darkened freeways at night, men and women on the verge of orgasm, their cars speeding in a series of inviting trajectories towards the flashing headlamps of the oncoming traffic stream.
Considering the crooked sword, the Graeaean subterfuge, the rear-view approaches to Medusa and Cetus, the far-darting Hermean sandals, even the trajectory of the discus that killed Acrisius, would it be fair to generalize that dodge and indirection were my conscious tactics, and, if so, were they characterological or by Athenian directive?
Even before the daughters have spoken, or refused to speak, the trajectory of their love, there is this transgression: the commodified landscape is sliced up and parcelled out to the highest rhetorical bidder.
The forces roiling around Shandril plucked their crossbolt bolts and hurled blades from swift and deadly trajectories into spiraling, tumbling orbits around the lone figure.
I left, I preset its guidance system for a deorbit trajectory that would bring it down upon Ft.