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Topic: Parabolic trajectory

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	Parabola - Wikipedia, the free encyclopedia
		The most well-known instance of the parabola in the history of physics is the trajectory of a particle or body in motion under the influence of a uniform gravitational field without air resistance (for instance, a baseball flying through the air, neglecting air friction).
		The parabolic trajectory of projectiles was discovered experimentally by Galileo in the early 17th century, who performed experiments with balls rolling on inclined planes.
		The most well-known instance is the parabolic reflector, which is a mirror or similar reflective device that concentrates light or other forms of electromagnetic radiation to a common focal point.
	en.wikipedia.org /wiki/Parabolic (1359 words)

	Parabolic microphone: Definition and Links by Encyclopedian.com
		A parabolic microphone uses a parabolic reflector to collect and focus sound waves onto a microphone receiver, in much the same way that a parabolic antenna (e.g.
		Parabolic microphones are generally not used for standard recording applications, because they tend to have poor low-frequency response as a side effect of their design.
		Sound entering the parabolic dish from the front axis is reflected into a sphere around the "focus" of the dish, where the microphone element is located.
	www.encyclopedian.com /pa/Parabolic-microphone.html (332 words)

	Trajectory - Wikipedia, the free encyclopedia
		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).
		The case of uniform gravity, disregarding drag and wind, yields a trajectory which is a parabola.
	en.wikipedia.org /wiki/Trajectory (1535 words)

	Parabolic trajectory - Wikipedia, the free encyclopedia
		In astrodynamics or celestial mechanics a parabolic trajectory is an orbit with the eccentricity equal to 1.
		When moving away from the source it is called an escape orbit, otherwise a capture orbit.
		) is closely related to the orbital velocity of a body in a circular orbit of the radius equal to the radial position of orbiting body on the parabolic trajectory:
	en.wikipedia.org /wiki/Parabolic_trajectory (276 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)

	Encyclopedia :: encyclopedia : Astrodynamics (Site not responding. Last check: 2007-10-31)
		It is a specific and distinct branch of celestial mechanics, which focuses more broadly on Newtonian gravitation and includes the orbital motions of artificial and natural astronomical bodies such as planets, moons, and comets.
		Astrodynamics is principally concerned with spacecraft trajectories, from launch to atmospheric re-entry, including all orbital maneuvers, orbit plane changes, and interplanetary transfers.
		For instance, on a trajectory from the Earth to Mars, one would begin by considering only the Earth's gravity until the trajectory reaches a distance where the Earth's gravity no longer dominates that of the Sun.
	www.hallencyclopedia.com /Astrodynamics (2399 words)

	EBTX - Conic Sections and Gravity
		follow a parabolic trajectory in the absence of friction with the air.
		Though, in practice, a parabolic trajectory has never been observed and never will be in the future.
		The reason it won't be observed is that a parabolic trajectory is equivalent to standing a pin on its pointy end and having it stay up unassisted.
	www.ebtx.com /ntx/conicsec.htm (1065 words)

	sciforums.com - underwater shot
		After the bullet exits the water, it would be same the parabolic trajectory.
		In the water, well, that's more complex, as you'd have a hell of a shockwave in front of that projectile, although, generally, it would be a parabolic trajectory still.
		This is why when a FO calls in a fire mission from a nearby battery they lob a few rounds of smoke and adjust on his order before actually firing HE rounds.
	www.sciforums.com /showthread.php?t=43956 (669 words)

	Annotate Parabolic Pool Table
		The speed of rotation is such that the combined gravitational and centrifugal forces are always perpendicular to the parabolic surfaces, so the balls (and players) don’t roll off on their own.
		With a parabolic table the relation of angle to the gravity is inconstant to the playing surface as this will always change along the distance of the table.
		One of the more important rules of pool is that you should keep the back end of your cue as low as possible, when the ball is on the other end of the table the back of the cue will be forced to be rather high in relation to the relative gravity.
	www.halfbakery.com /idea/Parabolic_20Pool_20Table/addnote (2457 words)

	Definition of parabolic
		1:...astrodynamics]] or [[celestial mechanics]] a '''[[parabolic]] trajectory''' is an [[orbit]] with the [[eccent...
		Sound entering the parabolic dish from the front axis is reflected into a sphe...
		distinguish the Borel subgroups is as '''minimal parabolic subgroups''': ''B'' is a Borel subgroup precisely...
	www.wordiq.com /dictionary/parabolic.html (502 words)

	The Arts Catalyst
		One of the outcomes was our first parabolic 'zero gravity' flight, organised for choreographer Kitsou Dubois in September 2000 with the Yuri Gagarin Centre in Star City, Russia, in collaboration with Projekt Atol Flight Operations, Slovenia.
		A parabolic flight creates the conditions of zero gravity - otherwise only experienced for any length of time in orbit or space travel - by putting an aircraft into a series of diving manoeuvres.
		Parabolic flights are undertaken by a handful of space agencies around the world specifically for astronaut/cosmonaut training and scientific experiments.
	www.artscatalyst.org /projects/space/russia2000.html (708 words)

	HighBeam Encyclopedia â“ Free Online Encyclopedia for Reference, Research, Facts
		The American, R. Goddard, did important early work on rockets, but guided missiles were first developed in their military form by the Germans, who in World War II employed V-1 and V-2 missiles against Great Britain and the Low Countries.
		The V-2, which was powered only during the first part of its flight, was the world's first operational ballistic missile, with a powered launch followed by an unpowered parabolic trajectory, sometimes guided by radio.
		Missiles may be aerodynamic, i.e., controlled by aerodynamic surfaces and following a straight-line trajectory to the target, or ballistic, i.e., powered during flight and following a parabolic trajectory.
	www.encyclopedia.com /printable.aspx?id=1E1:guidedmi (586 words)

	Planetary orbit - Wikipedia, the free encyclopedia
		Any comet in a parabolic or hyperbolic orbit about the central star is not gravitationally bound to the star and therefore is not considered part of the star's planetary system.
		If the cannon fires its ball with a low initial velocity, the trajectory of the ball will curve downwards and hit the ground (A).
		As the firing velocity is increased, the cannonball will hit the ground further (B) and further (C) away from the cannon, because while the ball is still falling towards the ground, the ground is curving away from it (see first point, above).
	en.wikipedia.org /wiki/Orbit (2765 words)

	Method for displaying a computer generated graphic on a raster output scanner - Patent 5471574
		In Interpress terms, a "mask stroke" is defined as giving a width to an open trajectory by supplying two equally distant lines parallel to the original trajectory, resulting in what is referred to herein as "parazoids", that is, trapezoids whose two parallel sides are curved, and filling in the area.
		The conventional approaches are either to decompose the trajectory into line segments and then compute the coordinates of a trapezoid corresponding to each line segment, or to trace an eliptical pen along a parabola to generate the offset parabolas.
		Trajectories BCD and EFA are curves that are parallel to WXY and the trajectory ABCDEFA defines a region which if filled will generate the masked stroke for the curve WXY.
	www.freepatentsonline.com /5471574.html (7714 words)

	SearchEngine.net - Experiment About Trajectory Path Of Projectile
		The Trajectory Path of a Soccer Ball Given Varying Velocities and Launch Angles...
		BFM to correct for met effects over the entire trajectory path of a projectile.
		trajectory, of a projectile is a familiar mathematical curve...
	www.searchengine.net /Experiment_about_Trajectory_Path_of_Projectile.htm (216 words)

	Trajectories
		Trajectories are the planned paths which celestial bodies-whether they be star, planet, moon, or man made satellite- follow in their course through the sky.
		In astrodynamics or celestial mechanics a hyperbolic trajectory is an orbit with the eccentricity (how much the trajectory deviates from a perfect circle) greater than 1.
		These trajectories are very rare, and have only been seen on a few comets passing through our solar system to date.
	desk003.com /users/carol/cporbits/cptrajectoryorbit.htm (944 words)

	[No title]
		It is why the trajectory of the projectile is parabolic if we ignore the effects of the air friction.
		One important factor which affects the trajectory of the projectile is air friction or air resistance.
		The trajectory of the projectile in Figure 2 has a symmetric shape, and the ascending time is the same to the descending time.
	www.bsu.edu /web/ykwon/pep294/lab6/projectile_lab.html (1285 words)

	Science_1684
		In these problems, Newton considered two interrelated laws of Galileo: the law of free fall, which says that the rate of vertical fall is proportional to the square of time, and the law of parabolic trajectory, which describes the path of the motion of a projectile as a parabola.
		Newton's De Motu can be seen as having significantly advanced the evidential status for the laws of free fall and parabolic trajectory (and to a lesser extent the law of inertia) both by tying all three together and by offering as a hypothesis a single cause from which all three laws would follow.
		It tied together six laws - Kepler's laws of elliptical orbits, Galileo's laws of free fall and parabolic trajectory, and the law of inertia - and the previously separate studies of orbital astronomy and terrestrial mechanics with one single conjecture: the existence of inverse square centripetal forces directed toward the sun and planets with satellites.
	www.yellowpigs.net /philosophy/science_1684 (2271 words)

	MOTION IN TWO DIMENSIONS (Site not responding. Last check: 2007-10-31)
		Every point on the trajectory is the vector sum of the horizontal and the vertical components of the velocity.
		Since speed at any point in a trajectory is the vector sum of the horizontal and vertical velocity components at that point, the projected object will have a greater speed when it strikes.
		Trajectory problems and their variations (common variation is to launch the object and have it clear a fence, etc.).
	www.ship.edu /~sagoul/motion_in_two_dimensions.htm (3524 words)

	PIRA 1D60.00 PROJECTILE MOTION (Site not responding. Last check: 2007-10-31)
		Parabolic Lucite templates coincide with path of steel balls projected horizontally.
		parabolic trajectories on the OH Ink dipped balls are rolled down an incline onto a tilted stage on an overhead projector.
		Inexpensive apparatus for plotting parabolic trajectory by repeatedly hitting a carbon paper.
	www.physics.ncsu.edu /pira/1mech/1D60.html (1336 words)

	YP Projectiles
		To simulate a trajectory, the user chooses the initial velocity (magnitude and direction), the vertical displacement component and the gravitational acceleration.
		The software then draws the parabolic trajectory and writes its main characteristics: range, maximum height reached, etc. During the simulation, it is possible to display three vectors: acceleration, velocity and position, and three graphs: acceleration, velocity and position versus time.
		Trajectories, numerical datas and graphs may be printed or copied to be used in other software.
	www.kagi.com /pelletier/projectiles.html (153 words)

	curved space/ spacetime - Page 4
		Describing this parabolic path in some detail; if you send objects in opposite directions from this point the limit of both these trajectories are parallel lines with the mid point line between them being the extended line of the radius to our starting point and perigee.
		Thus the parabolic path is a perfectly good approximation even though it is never exactly correct for any finite height, just like Newtonian orbits are perfectly good approximations for GR even though they are never exactly correct for any gravitational source with finite mass/energy.
		A parabolic trajectory is on a path to reach “apogee” 180 on the opposite side of the earth (or main body being orbited) that apogee on a straight line from our stating perigee point though the center of orbit as a major axis to whatever distance needed to reach the apogee point.
	www.physicsforums.com /showthread.php?p=877397 (4696 words)

	Book I, Section IV: Of the finding of elliptic, parabolic, and hyperbolic orbits, from the focus given
		About the focus S it is required to describe a trajectory ABC, passing through two points B, C. Because the trajectory is given in specie, the ratio of the principal axis to the distance of the foci will be given.
		Wherefore VH, the principal axis of the described trajectory, has the same ratio to SH, the distance of the foci, as the principal axis of the trajectory which was to be described has to the distance of its foci; and is therefore of the same species.
		About the focus S it is required to describe a trajectory APB that shall touch a right line TR, and pass through any given point P without the tangent, and shall be similar to the figure apb, described with the principal axis ab, and foci s, h.
	members.tripod.com /~gravitee/booki4.htm (1480 words)

	Parabolic
		A parabolic reflector (also known as a parabolic dish or a parabolic mirror) is a reflective device, formed in the shape of a paraboloid of revolution.
		There is a difference, and you’ll definitely feel it with the new Parabolic Blade, exclusively from MK Blades.
		Parabolic SAR is more popular for setting exit targets than for establishing direction or trend.
	www.logicjungle.com /wiki/Parabolic (305 words)

	Re: At what point(s) on a parabolic curve is a moving particle a rest?
		In fact, if we are talking about the parabolic trajectory of a particle under the influence of gravity, and if frictional forces are ignored, the component of velocity along the X-axis will remain constant.
		For instance, if one were to examine the parabolic trajectory in the polar coordinate system, the angular component would never become zero, but would approach zero at great distances from the center of the system.
		Usually in physics when we talk about particles moving in a parabolic path, we are intending to describe the path of a particle given an initial velocity in a gravitational field.
	www.madsci.org /posts/archives/may99/927160851.Ph.r.html (380 words)

	ESA Portal - Life in Space - Microgravity at Merignac
		While it is on that parabolic trajectory, the aircraft and everything inside it - in this case, people and their experiments - are weightless.
		Among the professional experiments were an investigation into metallic foam formation and aluminium welding in microgravity, and a very practical test of heat exchangers designed for Refrigerator-Freezer racks on the ISS.
		The next ESA Parabolic Flight Campaign is scheduled for October 2001.
	www.esa.int /esaCP/ESAND9PZ9NC_Life_0.html (617 words)

	France's Vomit Comet Advances Space Science by Providing a Weightless Laboratory for Experiments
		Their goal is to record a maximum data for about 25 precious seconds while the plane and everything aboard goes into a free-fall describing a parabolic trajectory.
		Aboard this flight, the 28th parabolic flight campaign organized by ESA, 11 teams of European researchers try to work on scientific experiments they want to conduct on board small experimental rockets and, later, the International Space Station.
		Most of the scientists prefer to fly the Airbus because the KC 135's uninterrupted parabolic trajectory on the NASA flights doesn't give them the time to adjust their experiments.
	www.space.com /news/spaceagencies/french_vomitcomet_000602.html (1084 words)

	Somatotyping With Ellery
		It is proposed that the EEA (environment of evolutionary adaptedness) conferred on Homo sapiens an important functional relationship between body morphology and the ability to compute the movement of objects through space and time.
		This ability was measured using a hypercard program that simulated the parabolic trajectory of a missile on a computer display.
		Both the velocity of the missile and duration of its visible trajectory were varied from trial to trial.
	www.zianet.com /elanier (458 words)

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