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Topic: Trajectory

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Equation of motion

Tangent plane

Parabola

External ballistics

Virial theorem

Escape Speed

Gravity

Inertial platform

Orbit

Strange attractor

Projectile

9x19mm Luger

Hyperbolic function

Ballistics

Physics of firearms

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	Trajectory Sports & Media Group, LLC
		Trajectory Sports and Media Group, LLC is a U.S.-based sports marketing company with global resources.
		Trajectory Sports organizes new national television coverage for the Ultimate Combat Experience (UCE), bringing its mixed martial arts excitement to 20 million U.S. television homes.
		Weekly coverage arranged by Trajectory Sports in conjunction with Hawaii Production Partners, Inc. read more...
	www.trajectorysports.com (125 words)

	Characteristics of a Projectile's Trajectory
		The projectile still moves the same horizontal distance in each second of travel as it did when the gravity switch was "turned off." The force of gravity is a vertical force and does not effect horizontal motion; perpendicular components of motion are independent of each other.
		In conclusion, projectiles travel with a parabolic trajectory due to the fact that the downward force of gravity accelerates them downward from their otherwise straight-line, gravity-free trajectory.
		This downward force and acceleration results in a downward displacement from the position that the object would be if there were no gravity.
	www.glenbrook.k12.il.us /gbssci/phys/Class/vectors/u3l2b.html (808 words)

	Per2 - Dimostratori Università di Cagliari
		The trajectory of a moving object (a person, a car, etc.) can be labelled as being "typical" or "atypical" with respect to the characteristics of the suirveilled scene.
		These trajectories may be either recorded in a live scenario, or they can be performed by some actors, or they can be synthetised according to the rules of the considered application.
		The distance between two trajectories is computed as the Euclidean distance in the space made up of 3p components, where p is the number of points sampled for each trajectory*, and 3 refers to the three information related to each point (x,y,dx/dy).
	www.diee.unica.it /~giacinto/PER2/TrajectoryClassification.html (347 words)

	Trajectory Summary
		Trajectories are the paths followed by spacecraft as they travel from one point to another.
		Some common examples of trajectories: (i) the path taken by a falling body, and (ii) the orbit of a spacecraft.
		One of the remarkable achievements of Newtonian mechanics was the derivation of the laws of Kepler, in the case of the gravitational field of a single point mass (representing the Sun).
	www.bookrags.com /Trajectory (2085 words)

	trajectory - Search Results - MSN Encarta
		A mortar is a cannon that fires projectiles, called shells, in a high, arcing trajectory.
		Orbit, path or trajectory of a body through space under the influence of forces of attraction or repulsion from a second body.
		A parabola is the curve that describes the trajectory of a projectile, such as a bullet or a ball, in the absence of air resistance.
	uk.encarta.msn.com /trajectory.html (162 words)

	Probe Trajectory Modelling
		Describing such a trajectory is inherently more complex than modelling the orbit of a spacecraft around the Earth, as the effects of the Earth, the Sun and the target body all have to be considered.
		Indeed, initial modelling of the probe's trajectory showed that rather than trying to set up a particular transfer orbit (the usual case for interplanetary flights) the actual aim was to reach a specified point in space as quickly as possible.
		This is in considerable contrast to most deep space trajectories, which are typically transfer orbits where the probe's position and velocity vectors relative to both the Earth and the target body very considerably over the course of the mission.
	homepage.mac.com /sjbradshaw/msc/traject.html (1945 words)

	Trajectory Scanning with the Newport Diffractometer
		Each trajectory element is a displacement or distance for the motor to move during that element.
		However, when the trajectory is executed the motors are not moved to the position of the first point of the trajectory.
		Using trajectory scanning the total time to execute a 500 point scan with.002 seconds per point is 3 seconds, including the time to print and plot the data and write it to the data file.
	cars9.uchicago.edu /software/epics/trajectoryScan.html (4642 words)

	Trajectory Computations
		Trajectories of the mass-transfer stream through the L1 point for KU Cygni are computed by numerically integrating the equations of motion for an infinitesimal particle in the gravitational field between two massive objects.
		The ballistic trajectory of this fictituous particle represents the average motion of the center of the mass-transfer stream (Lubow and Shu 1975).
		The trajectory of the mass-transfer stream in KU Cygni is displayed in Figure 4.3.
	mintaka.sdsu.edu /faculty/quyen/node21.html (856 words)

	Mission 2004: Trajectory
		The bi-parabolic trajectory can be immediately eliminated, because although the delta V was close to zero, the time of transit approached infinity, and this is unacceptable for both manned and unmanned flights.
		After calculating the delta V¹s and time of transfer for the Hohmann trajectory and for the shortest period free return trajectory, it was determined that some variation on the elliptical transfer would be used for both the communications flight and the manned flight.
		The increase in delta V of the Hohmann trajectory over that of spiral trajectories is justified by the need for rapid flight time to compensate for the short lifespan of the satellites.
	web.mit.edu /12.000/www/finalpresentation/traj/index9t.html (1540 words)

	trajectory (Site not responding. Last check: 2007-11-06)
		However, this is a stochastic model so we would not expect the trajectory for one particle to be the same as another.
		To get an overall view of the behaviour of all trajectories, a program was written to solve the model 1000 times and to trace each trajectory from a point in the middle of the plane at X=0.
		The simulation of a particular trajectory was terminated when it went outside the volume enclosed by the 3D grid.
	www.sv.vt.edu /research/mckinnon/web/trajectory.htm (254 words)

	Supercomputer Applications
		This example investigates a standard physics problem of missile trajectory, the typical scenario of a projectile launched toward a target which is a known distance away.
		The visualization technique not only defines acceptable values for velocity and launch angle by means of a graph, but also shows that for a broad range of angles on either side of 45 degrees, the velocity required for a hit is not nearly as sensitive as it is at the extremes.
		After students are introduced to the simple trajectory model, they are expected to make the model more complex by adding obstacles that could interfere with the path of the projectile.
	www.tjhsst.edu /~dhyatt/superap/trajectory.html (1612 words)

	Mogul Flight #4 Trajectory (Site not responding. Last check: 2007-11-06)
		Not only does this greatly foreshorten the northeast trajectory during ascent, it was also a way Moore secretly tacked on an extra 40 minutes of drift time back to the west on the "front end" of the stratospheric flight.
		To cut the distance to the crash site, Moore drastically shortened both his ascent and descent trajectories through stealth means by treating the balloon as faulty and giving it overly fast rise and fall times, and then adding a bogus math calculation of his table to cut the ascent trajectory even further.
		In calculating his trajectory improperly, Moore clearly destroyed the symmetry and correspondence that he had obviously built into his table and used data derived from another flight improperly, utilizing data in the opposite direction from the way he originally calculated it.
	roswellproof.homestead.com /Flight4_Trajectory.html (9106 words)

	Mogul Flight #4 Trajectory (Site not responding. Last check: 2007-11-06)
		Not only does this greatly foreshorten the northeast trajectory during ascent, it was also a way Moore secretly tacked on an extra 40 minutes of drift time back to the west on the "front end" of the stratospheric flight.
		To cut the distance to the crash site, Moore drastically shortened both his ascent and descent trajectories through stealth means by treating the balloon as faulty and giving it overly fast rise and fall times, and then adding a bogus math calculation of his table to cut the ascent trajectory even further.
		In calculating his trajectory improperly, Moore clearly destroyed the symmetry and correspondence that he had obviously built into his table and used data derived from another flight improperly, utilizing data in the opposite direction from the way he originally calculated it.
	www.roswellproof.homestead.com /Flight4_Trajectory.html (9106 words)

	TCML: Trajectory (Site not responding. Last check: 2007-11-06)
		A trajectory is a single path from the source to the sink in a usage model, and a test case may be composed of multiple trajectories.
		Each trajectory must specify its model and the distribution key from which it was generated.
		The element specifies the probability distribution key which was used to generate the test case, and may be the empty element ( or ) to indicate that the default distribution was used.
	www.cs.utk.edu /sqrl/esp/jumbl3/tcml/trajectory.html (149 words)

	Trajectory Tool Tutorial
		If you choose a "forward" trajectory and your start time is 5:00pm, the trajectory tool will calculate a trajectory that begins at 5:00pm and moves forward in time until 6:00pm.
		If you choose a "backward" trajectory and your start time is 5:00pm, the trajectory tool will calculate a trajectory that begins at 5:00pm and moves backward in time until 4:00pm.
		After the trajectory is complete, you can zoom in by clicking on the quadrants, or zoom out by clicking on the “Zoom out” button located over the thumbnail map.
	www.utexas.edu /research/ceer/ccaqp/trajectory_tool_tutorial.htm (761 words)

	Trajectory (Site not responding. Last check: 2007-11-06)
		The trajectory is the line in space along which the particle moves.
		The trajectory is a diagnostic of motion which can be very important and useful but nonetheless does not contain the full information about the motion.
		This is the expression for the trajectory followed by the particle.
	www.pha.jhu.edu /~broholm/l4/node5.html (372 words)

	Bullet Trajectory
		One of the more pervasive myths associated with bullet trajectory is that "bullets always rise right after they leave the barrel." In general, bullets do rise after leaving the barrel, and they immediately begin to drop.
		Since the barrel is generally directed at an angle to the line of sight, sighting directly upward or directly downward results in a trajectory that deviates even more from the line of sight than the typical, relatively level shot.
		That is why the highest point of the usable portion of the trajectory is not the midpoint of that trajectory.
	www.chuckhawks.com /bullet_trajectory.htm (944 words)

	WMAP Observatory- Trajectory and Orbit
		The trajectory to reach the observing station consisted of 3 lunar phasing loops followed by a ~100 day cruise to L2.
		The trajectory features 3 or 5 lunar phasing loops depending on when in the lunar cycle WMAP launches (WMAP used only 3) and a lunar flyby to assist the spacecraft in reaching L2.
		The launch window for this trajectory is ~20 minutes/day for 7 consecutive days twice each month.
	map.gsfc.nasa.gov /m_mm/ob_techorbit.html (266 words)

	Mars Trajectories
		If the same trajectory were to be used on the return leg, the planets would align for the return transfer only twelve days after arrival; therefore, the whole mission would be only 152 days.
		Unfortunately, the necessary mathematics to calculate the exact logistics of this trajectory are beyond the scope of this paper, but an overall analysis is still practical.
		Although this unconventional trajectory can be used for either direction, Diagram D assumes the trajectory to be used on the return flight from Mars.
	www.stanford.edu /~klynn/mars_paper.htm (4294 words)

	Rifle Trajectory Table
		Sighting-in a hunting rifle to hit a certain number of inches high at 100 yards (or 100 meters) maximizes the point blank range of the rifle and cartridge and is superior to zeroing at a fixed distance like 200 yards.
		The trajectories in the table below were calculated for a maximum bullet rise of 1.5 inches above the line of sight for all small game and varmint loads, and three inches above the line of sight for all big game loads.
		All trajectories were calculated for a rifle with a low mounted telescopic sight of moderate size whose line of sight is 1.5 inches above the bore axis of the barrel.
	www.chuckhawks.com /rifle_trajectory_table.htm (720 words)

	Script : Trajectory
		For each areas where you want the trajectory to be shown, you have to go in View menu (in the header of 3D area), in SpaceHandler, then clic on Trajectory.
		Trajectory of currently selected objects will be always drawn in 3DView (in addition of active object trajectory).
		In normal mode trajectory is blue (most dark in pas and lighten in futur).
	blenderfrance.free.fr /python/Trajectory_en.htm (722 words)

	Talk:TrajectoryService - Federation of Earth Science Information Partners
		For trajectory calculations, the WCS query has to allow the bbox (XYZ) to be a 3D BOX, specified in lat/lon, elevation (or pressure) dimensions.
		Please note that this communal trajectory service chaining development is part of many different projects, in addition to the GSN Denver demo.
		WCS Wind Data Access: For trajectory calculations, the WCS query has to allow the bbox (XYZ) to be a 3D BOX, specified in lat/lon, elevation (or pressure) dimensions.
	wiki.esipfed.org /index.php/Talk:TrajectoryService (1740 words)

	RealClearPolitics - Articles - Islam's Trajectory
		For the problem in Islam is that intolerance and indignity and the murder of a person because of his changed religious belief have gained authoritative sanction from some quarters.
		Three institutions have deflected the trajectory of Mohammed's original message: the law, the empire, and the tribe.
		In sum, moderate and reformist thinkers in Islam are seeking to return to the spiritual trajectory established by the Prophet.
	www.realclearpolitics.com /articles/2006/08/islams_trajectory.html (3569 words)

	Trajectory Guides
		The NAVIGUS Trajectory Guide is a disposable device that allows neurosurgical procedures to be performed directly in the OR and MRI scanners without the use of a conventional stereotactic head-frame.
		In the OR, the NAVIGUS Trajectory Guide is coupled to an image-guided workstation for trajectory planning and targeting.
		Intraoperative MRI alignment of the trajectory guide is established using an MRI visible alignment stem and standard, fast imaging techniques.
	www.igneurologics.com /pages/biopsy2/trajectory.htm (371 words)

	HYbrid Single-Particle Lagrangian Integrated Trajectory Model
		The HYSPLIT (HYbrid Single-Particle Lagrangian Integrated Trajectory) model is the newest version of a complete system for computing simple air parcel trajectories to complex dispersion and deposition simulations.
		Trajectory Verification - Draxler, R.R. 1996, Trajectory Optimization for Balloon Flight Planning, Weather and Forecasting, Vol 11, March, pp.
		Kinematic and Isentropic Trajectories - Draxler, R.R. 1996, Boundary layer isentropic and kinematic trajectories duing the August 1993 North Atlantic Regional Experiment Intensive, J. Geophys.
	www.arl.noaa.gov /ready/hysp_info.html (1147 words)

	EUROCONTROL - Trajectory Prediction
		Preferred trajectories from several aircraft will inevitably lead to conflicts which must be resolved by constraining one or more aircraft to fly a non-optimum trajectory.
		This preferred trajectory was then sent to the ground system so that the controllers could ensure that separation standards were maintained.
		The main role of the PHARE Advanced Tools Trajectory Predictor was to support the ground controllers in their manipulation of constraints, allowing them to model and assess the effect of their actions prior to modified constraints being sent to an aircraft.
	www.eurocontrol.int /phare/public/standard_page/TrajPred.html (723 words)

	Telemanipulation - Dexterous Manipulation Laboratory
		However, once a motion command, such as MOVE loc.1, is given to the trajectory controller it cannot be interrupted except in the case of an emergency stop.
		A single additional motion command can be queued during the first move command to ensure a smooth continuous path trajectory (the next setpoint is used to compute a new trajectory just before the original deceleration phase was to begin).
		Using this command the programmer is now responsible for creating a smooth trajectory but can count on the path modifications being performed at each major servo cycle (every 16 ms).
	www-cdr.stanford.edu /touch/tele_projects/telesys_adept.htm (1616 words)

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