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Topic: Trojan points

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Lagrangian point

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	Kids.Net.Au - Encyclopedia > Lagrangian point (Site not responding. Last check: 2007-10-13)
		In Lagrangian mechanics, a Lagrangian point (or L-point) is one of five positions in space where the gravitational fields of two bodies of substantial but differing mass combine to form a point at which a third body of negligible mass would be stationary relative to the two bodies.
		At the third point of an equilateral triangle with the base of the line defined by the two masses, such that the point is ahead of the smaller mass in its orbit around the larger mass.
		At the third point of an equilateral triangle with the base of the line defined by the two masses, such that the point is behind the smaller mass in its orbit around the larger mass.
	www.kids.net.au /encyclopedia-wiki/la/Lagrangian_point (970 words)

	WMAP Observatory_Lagrange Points
		The L1 point of the Earth-Sun system affords an uninterrupted view of the sun and is currently home to the Solar and Heliospheric Observatory Satellite SOHO.
		The L2 point of the Earth-Sun system is home to the WMAP spacecraft and (perhaps by the year 2011) the James Webb Space Telescope.
		The existence of this ring is closely related to the Trojan points, but the story is complicated by the effects of radiation pressure on the dust grains.
	map.gsfc.nasa.gov /m_mm/ob_techorbit1.html (751 words)

	Please title this page. (Page 7)
		The Trojans rallied from a 12 point deficit in the second half to upend the Hagerstown CC Hawks in an important Division I match-up on Saturday night.
		The excellent Trojan defense held the Owls to 30 points less than their average but was off-set a poor night from the floor as they couldn't get shots to fall.
		The Trojans survived a barrage of "3" from the Panthers (formerly the Red Devils) of Baltimore City CC to extend their win streak to 9 in a row as they defeated BCCC 82-79 in overtime.
	www.allegany.edu /Sports/b_ball.men/GAMESUMR.HTM (5829 words)

	Lagrangian point - Wikipedia, the free encyclopedia
		The Lagrange Points mark positions where the combined gravitational pull of the two large masses provides precisely the centripetal force required to rotate with them.
		The first three Lagrangian points are technically stable only in the plane perpendicular to the line between the two bodies.
		Lagrange points (usually the L4 and L5 points) are sometimes used to enter a system closer to planets, almost always for small-scale military or pirate operations due to the risk of catastrophic misjumps.
	en.wikipedia.org /wiki/Trojan_point (2695 words)

	Print the story
		Because dirty snowballs are thought to have formed in the outer reaches of the solar system, from which they are occasionally dislodged and end up looping closer to the sun as comets, the team suggests that the asteroid probably formed far from the sun.
		It most likely was captured in one of Jupiter's Trojan points - two eddies where debris collects in Jupiter's orbit - during a period when the inner solar system was intensely bombarded by comets, around 650 million years after the formation of the solar system.
		These points, one leading and the other trailing Jupiter, are places were the gravitational attraction of the sun and Jupiter are balanced, allowing debris to collect like dust bunnies in the corner of a room.
	www.physorg.com /printnews.php?newsid=10450 (1208 words)

	BBC - h2g2 - Lagrange Points
		L3 is a point in the orbit of the Earth, but on the far side of the sun to the Earth.
		These asteroids bear the names of Trojan heroes, so the L4 point and the L5 point are often called 'Trojan points', with L4 holding the 'leading Trojans' and L5 the 'trailing Trojans'.
		There are also Trojan points in the planet/moon systems, so that the Earth Moon system has a pair of Trojan points on the moon's orbit, 60 degrees in front of and behind the moon.
	www.bbc.co.uk /dna/ww2/A934706 (1032 words)

	The laws list: L
		The illuminance on a surface illuminated by light falling on it perpendicularly from a point source is proportional to the inverse square of the distance between the surface and the source.
		L4 and L5, the so-called Trojan points, lie along the orbit of the secondary around the primary, sixty degrees ahead and behind of the secondary.
		L4 and L5 are points of stable equilibrium, provided that the mass of the secondary is less than about 1/24.96 the mass of the primary.
	www.alcyone.com /max/physics/laws/l.html (661 words)

	Trojan points (Henry Spencer) (Site not responding. Last check: 2007-10-13)
		From: Henry Spencer Newsgroups: sci.physics,sci.space.science,sci.astro Subject: Re: Questions About Sun-Earth Libration Points Date: Wed, 24 Apr 1996 15:02:35 GMT In article john.lyons@gsfc.nasa.gov (JWLyons) writes: >The Sun-Jupiter L4 and L5 points are known to be stable because the Trojan >asteroids have been observed to stay there.
		Jupiter's large collection of Trojan asteroids is partly because it's close to the asteroid belt, and partly because its influence is strong enough to dominate most perturbing forces.
		By definition, the L4 and L5 >points are 60 deg away from the Sun, as seen from the Earth...
	yarchive.net /space/orbits/trojan_points.html (449 words)

	Lagrange Points
		The Italian-French mathematician Josef Lagrange discovered five special points in the vicinity of two orbiting masses where a third, smaller mass can orbit at a fixed distance from the larger masses.
		The L2 point of the Earth-Sun system will soon be home to the MAP Satellite and (perhaps) the Next Generation Space Telescope.
		The L1 and L2 points are unstable on a time scale of approximately 23 days, which requiress satellites parked at these positions to undergo regular course and attitude corrections.
	www.physics.montana.edu /faculty/cornish/lagrange.html (761 words)

	USC's Men's and Women's Track And Field Teams Win 2006 NCAA West Regional :: Powell ties her collegiate 100m HH record ...
		Trojan junior Candice Davis placed fourth in the event with a time of 13.07 to also qualify for the NCAA Championships.
		Other Trojan women earning automatic berths at the NCAAs were sophomore Michelle Sanford in the triple jump (4th) and on Friday, senior Karen Freberg in the shot (2nd).
		Other Trojan men advancing to the NCAA Finals are juniors Noah Bryant (2nd) and William Denbo (4th) in the shot put, sophomore Kai Kelley in the 110m HH (4th) and the men's 4x400m relay team.
	usctrojans.cstv.com /sports/c-track/recaps/052706aaa.html (1051 words)

	Artemis Project: The Lagrange Points
		An object placed at these points, 60 degrees ahead of and behind the moon at the radius of its orbit, will remain at the same point with respect to the moon.
		The Trojan asteroids are clusters of asteroids that have become trapped in Jupiter-Sun libration points.
		Because of the inclination of the moon's orbit around the earth and the influence of the sun's gravity field, L4 and L5 are not stable points.
	www.asi.org /adb/m/03/12/lagrange-points.html (384 words)

	NASA's Solar System Exploration: News & Events: 02.03.06: Binary Asteroid in Jupiter's Orbit
		If confirmed, this could mean that many or most of the probably thousands of Jupiter's Trojan asteroids are dirty snowballs that originated much farther from the sun and at the same time as the objects now occupying the Kuiper Belt.
		Trojan asteroids are those caught in the so-called Lagrange points of Jupiter's orbit, located the same distance from Jupiter as Jupiter is from the sun - 5 astronomical units, or 465 million miles.
		Because in Homer's Iliad, Patroclus was Achilles' companion and a hero of the Trojan War, Achilles would have been an appropriate name for one of the two asteroids, which are about the same size.
	solarsystem.nasa.gov /news/display.cfm?News_ID=13596 (1237 words)

	Results from the Numerical Integration of the orbits of Trojan Asteroids
		The Trojan asteroids are a special part of the minor bodies of the solar system.
		The L4 region is known as the Greek camp, while the L5 region is known as the Trojan camp.
		The points where the minor planet was above the plane of the ecliptic are colored green, while when below the points are colored red.
	tycho.usno.navy.mil /trojan.html (572 words)

	Trojans Return Home To Face UC Riverside Highlanders And BYU Cougars :: USC looks to win first home game and advance ...
		Sophomore Nick Young led the Trojans with eight rebounds and a career-high 25 points on 11-for-18 shooting.
		The Trojans trailed 27-21 with 6:41 left to go in the first half, but were outscored 14-2 and outrebounded 14-4 the rest of the half to trail by 18 at the break (41-23).
		TROJANS NAB FOUR PREP STANDOUTS -- The Trojans inked prep standouts Kasey Cunningham (Albuquerque, N.M.), Kevin Galloway (Sacramento, Calif.), Taj Gibson (Tarzana, Calif.) and Dwight Lewis (Katy, Tex.) to national letters of intent it was announced by Trojan head coach Tim Floyd on Nov. 17.
	www.pac-10.org /sports/m-baskbl/spec-rel/113005aab.html (2598 words)

	[No title] (Site not responding. Last check: 2007-10-13)
		the Earth-Moon libration points, Icarus 42 (1980), 442-447.
		in-plane and inclined orbits in the vicinity of the Martian Lagrange points
		at the triangular Lagrangian points of Saturn, Uranus, and Neptune have
	orbit.m6.net /v2/read.asp?id=19860 (6769 words)

	systemic - extrasolar trojans (Site not responding. Last check: 2007-10-13)
		Eric points out that the observed presence of a trojan companion to a hot Jupiter would thus be evidence that the hot Jupiter arrived at its short-period orbit via migration.
		If we have a trojan, however, a planetary transit will be offset from the radial velocity zero point, which is associated with the orbit of a “ghost body” that combines the gravitational effect of the primary planet and its trojan companion.
		The presence of the trojan companion can be inferred by measuring the lag between the center of the transit and the zero crossing of the radial velocity curve.
	oklo.org /?p=154 (900 words)

	Summary — Newton's Great... Oversight — Science — PAIAS
		Newton should never have overlooked this mostly non-zero falling rate difference, that it implies the (probable) existence of Trojan points, and that it is essential to the gravitational dynamics of these Trojan points and their associated Trojan asteroids which move in “
		Trojan points (Lagrangian points L4 and L5) was first published on the Internet in 1995 (by PAIAS).
		Since then, it has been expanded with commentary, history, analysis, philosophy and more commentary, and even a look at the future of Trojan body astronomy, including raising the question of whether stable ternary star systems are possible.
	paias.org /Science/Newton/Newt0Summary.htm (572 words)

	BBC - h2g2 - Lagrange Points - A947333
		A number of asteroids have been found to occupy Jupiter's L4 and L5 points, orbiting the Sun at the same distance as Jupiter, and 60° ahead and behind it.
		There are also Trojan points in the planet/moon systems, so that the Earth/Moon system has a pair of Trojan points on the Moon's orbit, 60° in front of and behind the Moon.
		The Sun/Earth system's L1 point is occupied at the moment by a space observatory which is looking at the Sun.
	www.bbc.co.uk /dna/h2g2/alabaster/A947333 (1158 words)

	The Nine Planets Glossary
		the point in its orbit where a planet is farthest from the Sun; when refering to objects orbiting the Earth the term apogee is used; the term apoapsis is used for orbits around other bodies.
		Bodies at such points are sometimes referred to as Trojans.
		The leading apex of the triangle is known as the leading Lagrange point or L4; the trailing apex is the trailing Lagrange point or L5.
	www.seds.org /billa/tnp/help.html (4940 words)

	The laws list: T
		Satellites which orbit a body at one or the other Trojan points relative to a secondary body.
		There are several examples of this in our own solar system: a group of asteroids which orbit in the the Trojan points of Jupiter; daughter satellites which orbit in the Trojan points of the Saturn-Tethys system, and an additional satellite (Helene) which orbits in the forward Trojan point of Saturn and Dione.
		But from Albert's point of view, it's Henrik (and the whole of the Earth) that are travelling, not he.
	www.alcyone.com /max/physics/laws/t.html (1129 words)

	SPACE.com -- Asteroids Near Jupiter are Really Comets
		The finding could mean that many or most of asteroid-like objects hovering around Jupiter and known as Trojans are actually comets that originated much farther from the Sun and which were captured by the giant gas planet when the solar system was still young.
		At these points, the gravitational field of Jupiter and the Sun are perfectly balanced, and objects can be captured and brought to relative rest.
		Because most comets are thought to form in the Kuiper Belt, a distant region of the solar system outside the orbit of Neptune, the researchers think Patroclus and Menoetius formed about 650 million years after the formation of the solar system.
	www.space.com /scienceastronomy/060201_jupiter_comet.html (599 words)

	Spotlight on DSU (Site not responding. Last check: 2007-10-13)
		Jensen now has 1,015 points in 56 games for the Trojans, putting him at number 12 on the Trojan career points scored record list after just two seasons.
		Jensen also ranks fourth on the Trojan career three pointers made record list with 109, fifth in a season with 69 and fifth on the Trojan career free throws made list with 304.
		Jensen is averaging 21.6 points per game this season and 18.1 points per game in his career.
	www.departments.dsu.edu /news/spotlight/02/jensen_1000points.htm (199 words)

	Lagrange
		The first Trojan he discovered is called 588 Achilles, since it was the 588th asteroid to be discovered.
		The asteroid 5261 Eureka is a "Mars Trojan", occupying the L5 point of Mars' orbit around the sun.
		Finally, we propose that the long-term instabilities that cause some jovian Trojans to escape the region of the Lagrange points at the present are due to three-body resonances.
	math.ucr.edu /home/baez/lagrange.html (5147 words)

	02.01.2006 - Binary asteroid in Jupiter's orbit may be icy comet from solar system's infancy
		The asteroid 617 Patroclus and its companion are indicated by the green triangle in Jupiter's trailing Lagrange point.
		The white dots indicate the position, as of November 2005, of the 10,000 known asteroids in our solar system with diameters greater than 10 kilometers.
		They cluster in the main asteroid belt between Mars and Jupiter, plus the two Lagrange points of Jupiter's orbit.
	www.berkeley.edu /news/media/releases/2006/02/01_patroclus.shtml (1390 words)

	List of objects at Lagrangian points - Wikipedia, the free encyclopedia
		This is a list of known objects which have been, are or are planned to occupy any of the five Lagrangian points of two-body systems in space.
		The spacecraft's original mission was to orbit the Sun at the L1 Lagrangian point, but this was changed when the SOHO spacecraft was sent to the same location.
		Neptune-Sun Lagrangian points are sometimes called Neptune Trojan asteroids, but "Trojan asteroid", as originally defined, is a term for asteroids in the L
	en.wikipedia.org /wiki/List_of_objects_at_Lagrangian_points (426 words)

	VSU vs SAC (2/1/2005)
		The Lady Trojans eased away with the first place ribbon with their two “extra” turnovers.
		Lady Trojan #10 Asheley Alexander’s 7 points in the first half brought the Lady Trojans to be within as few as five points of SAC.
		Gibbs showed to be the glue of the Lady Trojans’ defense as she hustled for 7 rebounds and 7 blocks.
	www.vsu.edu /pages/1942.asp (564 words)

	Trojan variant points you at porn (Site not responding. Last check: 2007-10-13)
		"StartPage Trojan had been one of the most annoying and hard to remove Trojans right from its first variant," he added.
		He says that alhough the StartPage Trojans may be detected by many anti-virus programs, most of them fail to remove the malware completely.
		This means the Trojan can also work as browser helpers and subsequently misdirect the user to malicious websites.
	www.theinquirer.net /?article=31919 (256 words)

	Security Forums :: View topic - Places that viruses and trojans hide on start up
		Install it and try to install some malware that will load from the registry or some test trojans and see how it interacts when the applications try and register themselves to run at boot.
		my point is you can't grantee 100% you are save by monitor startup methods and listening ports.
		This is very comon, nearly all trojans have a way of inserting themsleves in to the startup, although some like Sub7 try to bind themselves to explorer.exe or similar files.
	www.security-forums.com /forum/viewtopic.php?t=3752 (1846 words)

	RAND \| Research Memoranda \| Stability of the Trojan Points in the Four-Body Problem.
		Stability of the Trojan Points in the Four-Body Problem.
		A discussion of the stability of the Trojan points in the four-body problem with applications to the recent discovery by K. Kordelewsky of possible dust clouds orbiting the earth in relatively stable position.
		The study concludes that the stable properties commonly associated with the Trojan points of the three-body problem do not apply to the Sun-Moon-Earth-object problem, for the effect of the Sun cannot be considered as a small perturbation.
	www.rand.org /pubs/research_memoranda/RM3992 (277 words)

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