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Topic: Orbital resonance

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	Resonance
		In an electrical circuit, resonance occurs at a particular frequency when the inductive reactance and the capacitive reactance are of equal magnitude, causing electrical energy to oscillate between the magnetic field of the inductor and the electric field of the capacitor.
		Resonance occurs because the collapsing magnetic field of the inductor generates an electric current in its windings that charges the capacitor and the discharging capacitor provides an electric current that builds the magnetic field in the inductor, and the process is repeated.
		Resonance is used for tuning and filtering, because resonance occurs at a particular frequency for given values of inductance and capacitance.
	www.ebroadcast.com.au /lookup/encyclopedia/re/Resonance.html (274 words)

	Orbital resonance - Wikipedia, the free encyclopedia
		Orbital Resonance is also the title of a science fiction novel by John Barnes.
		The extrasolar planets Gliese 876b and Gliese 876c are in a 2:1 orbital resonance
		A Secular resonance occurs when the precession of two orbits is synchronised (usually a precession of the perihelion or ascending node).
	en.wikipedia.org /wiki/Orbital_resonance (980 words)

	Resonance - Wikipedia, the free encyclopedia
		In physics, resonance is the tendency of a system to absorb more energy when the frequency of its oscillations matches the system's natural frequency of vibration (its resonant frequency) than it does at other frequencies.
		Examples are the acoustic resonances of musical instruments, the tidal resonance of the Bay of Fundy, orbital resonance as exemplified by some moons of the solar system's gas giants, the resonance of the basilar membrane in the biological transduction of auditory input, and resonance in electrical circuits.
		A sharp resonance is a resonance with a sharp peak in the S-matrix (which corresponds to a long lifetime compared to the reciprocal of its mass) while a broad resonance is a resonance with a spread out peak (which corresponds to a short lifetime relative to the reciprocal of its mass).
	en.wikipedia.org /wiki/Resonance (683 words)

	[No title]
		The orbital mean motions are then said to be nearly commensurate, and an asteroid that is trapped near such a mean motion commensurability is said to be in an orbital resonance with Jupiter.
		For example, the Trojan asteroids librate (oscillate) around the 1:1 orbital resonance (i.e., the orbital period of Jupiter is in a 1:1 ratio with the orbital period of the Trojan asteroids); the asteroid Thule librates around the 4:3 orbital resonance; and several asteroids in the Hilda group librate around the 3:2 orbital resonance.
		Although the asteroid Griqua librates around the 2:1 resonance with Jupiter, and Alinda librates around the 3:1 resonance, the orbital commensurabilities 2:1, 7:3, 5:2, and 3:1 are characterized by an absence of asteroids in an otherwise rather highly populated, uniform distribution spanning all of the commensurabilities.
	sonic-arts.org /monzo/solarsystem/TD_post_about_calendar.txt (1437 words)

	Orbital resonance - (Site not responding. Last check: 2007-11-07)
		A Secular resonance occurs when the precession of two orbits is synchronised (usually a precession of the perihelion).
		There are only five known mean motion resonances in the Solar system involving planets or satellites (a much greater number involve asteroids, rings and moonlets).
		Actually, the resonance is perfect but it involves also the precession of perijove (the point closest to Jupiter) $\dot\omega$ The correct equation (part of the Laplace equations) is:
	psychcentral.com /psypsych/Orbital_resonance (1054 words)

	Orbital - Wikipedia, the free encyclopedia
		Orbitals (album), an alternative rock album by Acroma.
		A Culture Orbital is a fictional place from "The Culture" science fiction universe
		This is a disambiguation page: a list of articles associated with the same title.
	en.wikipedia.org /wiki/Orbital (104 words)

	Astronomy Online - Gliese 876
		Resonance is an important component of the Gravitational Instability model [R24], the model used to describe the evolution of the exoplanetary systems.
		Once resonance occurred, it should be noted that there will be certain libration to this resonance – in other words, each orbit may speed up or slow down as each mass acts on each other [R3] – similar to the action of a pendulum.
		In fact, the orbital resonance of the two large bodies at such close proximity relies heavily on the presence of the inner planet.
	astronomyonline.org /Exoplanets/Gliese876.asp?Cate=Exoplanets&... (5108 words)

	Alinda group (of asteroids)
		A group of asteroids with a mean orbital radius of about 2.5 AU and an orbital eccentricity between about 0.4 and 0.65.
		These objects are held in this region by the 1:3 orbital resonance with Jupiter, which results in a 4:1 resonance with Earth.
		One consequence of this is that if an Alinda asteroid happens to be in an unfavorable position for viewing at the time of its close approach to Earth (for instance, at a small elongation from the Sun), then this situation may persist for decades.
	www.daviddarling.info /encyclopedia/A/Alinda_group.html (256 words)

	[13.01] Evolution of the GJ876 Planets into the 2:1 Orbital Resonance (Site not responding. Last check: 2007-11-07)
		The eccentricities of the planets are forced by the resonance and are constrained to the particular observed ratio by the requirement that the retrograde secular periapse motions be identical.
		The amplitudes of the librations at any time depend on the initial values of the eccentricities, and for particular initial values, the amplitudes match the best fit amplitudes as the current values of the eccentricities are passed.
		The robustness of the evolution into the resonance whatever means is chosen and the damped nature and extreme stability of the best fit solution means that the system is almost certainly correctly represented by the Laughlin and Chambers best fit solution.
	www.aas.org /publications/baas/v33n3/dda2001/55.htm (325 words)

	John Barnes: Orbital Resonance (Site not responding. Last check: 2007-11-07)
		Yet Orbital Resonance is distinctly reminiscent of the best of Heinlein's books for teenagers, a tradition to which Card's own Ender's Game perhaps also belongs.
		Set on a space station designed to aid the colonisation of Mars, the background to Orbital Resonance is a ruined Earth in only a few decades time.
		The satellite is the last bastion of the civilisation of mankind; there a group of gifted children are being conditioned to become the new elite of the human race.
	www.geocities.com /Athens/Academy/6422/rev0358.html (331 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Alinda asteroids have a mean orbital radius of 2.5 AU and an eccentricity between 0.4 and 0.65 (approximately).
		Pallas asteroids have a mean orbital radius between 2.5 AU and 2.82 AU and an inclination between 33° and 38°.
		There are several known objects in the 2:1 resonance, unofficially dubbed "Twotinos," with a mean orbital radius of roughly 48 AU and an eccentricity of 0.37.
	www.thrushobservatory.org /minor/what_are.htm (2129 words)

	The First Nine Clues - Mars-Earth Wars
		It is modeled that Jupiter's orbital period and the Earth's were in a 12:1 resonance, and the Martian orbit was in a 6:1 resonance with Jupiter.
		Pluto is in 3:2 orbital resonance with Neptune.
		Judging by the paucity of asteroids in the 2:1 resonance, and the numerous asteroids at about 5% one either side, it is judged that the chance that Mars never shifted into a new orbit from a former orbit, since the dawn of history, is estimated at one chance in ten.
	www.creationism.org /patten/PattenMarsEarthWars/PattenMEW11.htm (11036 words)

	Resonance
		= 2pf, in which f is the resonant frequency in hertz, L is the inductance in henries, and C is the capacitance in farads when standard SI units are used.
		Resonance is an important consideration for instrument builders as most acoustic instruments use resonators, such as the strings and body of a violin, the length of tube in a flute, and the shape of a drum membrane.
		Disclaimer: Uploading or downloading of copyrighted works without permission or authorization of the copyright holders may be illegal and subject to civil or criminal liability and penalties.
	www.mp3.fm /Resonance.htm (1348 words)

	Orbital Mechanics I
		The orbital speed of the planets decreases with distance from the sun [magnify].
		The orbital speed of the stars remains roughly constant with distance from the center of the Milky Way [magnify].
		Dwarf galaxies, star clusters, and gas clouds beyond the edge of the visible galaxy have nearly the same orbital speed as the stars within visible galaxy.There is evidence that rotational speeds remain roughly constant at 220 km/s out to distances of 300,000 light years or six times the radius of the Milky Way.
	www.hypertextbook.com /physics/mechanics/orbital-mechanics-1 (3119 words)

	CR₁₀₅ - COMET OF VULCAN (Site not responding. Last check: 2007-11-07)
		This resonance effect is generated until the giant planets tug the orbital inclination away from Vulcan's influence.
		The uncorrected (for Jovian planets) orbital period of 2000 CR, about 3366.6545 +/- 19.53 (1 sigma) years, is close to the anticipated period of the postulated comet swarms operating in a 3:2 resonance with Vulcan's period.
		Consider the case for determining the probability, Pr(CR105,IRAS), that the orbital period of is related to a theoretical 3:2 resonate orbital period determined using the IRAS point.
	www.barry.warmkessel.com /barry/CR105andVulcan.html (10428 words)

	Astrobiology Research: Habitability within the Solar System
		Each dot represents a particular resonant periodic orbit found by varying the mass and orbital eccentricity of the giant planet.
		The results define paths along which resonant periodic orbits of small planets were determined.
		As opposed to the brute-force straightforward trial-and-error numerical simulations, we map out the stable regions of orbital resonances by computing the location and stability of resonant periodic orbits.
	www.astrobiology.ucla.edu /pages/res2d.html (251 words)

	Resonant Orbital Dynamics in Extrasolar Planetary Systems and the Pluto Satellite System / Events & Calendar / CITA (Site not responding. Last check: 2007-11-07)
		I will discuss two examples where resonant or near-resonant gravitational interactions play an important role in the dynamical evolution of the systems.
		As many as 30% of the known extrasolar multiple-planet systems have a pair of planets that are known or suspected to be in orbital resonance.
		I will also discuss the conditions required to assemble the 2:1 resonance in the HD 82943 system during planet formation by the convergent orbital migration due to planet-disk interactions.
	www.cita.utoronto.ca /index.php/events_calendar/resonant_orbital_dynamics_in_extrasolar_planetary_systems_and_the_pluto_satellite_system (237 words)

	Resonances and Their Properties (Site not responding. Last check: 2007-11-07)
		Resonances are able to affect orbits for the same reason that a person pushing a swing can increase the amplitude of the swing.
		When bodies are out of resonance the pushes occur in random positions throughout the orbit, which is similar pushing a person on a swing at random times.
		The simplest type of orbital resonance, a mean motion resonance, occurs if the ratio of the mean motions of the two objects (2*pi divided by the Kepler period) is equal to a rational number.
	www.astro.umd.edu /~aproctor/research/resprop.html (679 words)

	[No title] (Site not responding. Last check: 2007-11-07)
		Almost all short period comets (orbital period roughly 200 years or less), are in orbital resonance with one or other of the planets with mighty Jupiter and Saturn having captured the majority.
		Resonance changes which might in some circumstances bring them, and in the case of Comets, their dust trails and associated meteors, much closer to the earth than they come at this present time.
		The mathematics suggests that we may be able to deliberately direct space craft into positions which place them in new resonances with moons or planets at much lower cost in fuel than the present fuel economy routes which use, the favourite, fuel economy Hohmann transfer orbit.
	www.amsat.org /amsat/ftp/articles/satgen/sgen525.txt (469 words)

	Orbital - TheBestLinks.com - Iain M. Banks, Molecular orbital, Orbital resonance, Physics, ... (Site not responding. Last check: 2007-11-07)
		Orbital - TheBestLinks.com - Iain M. Banks, Molecular orbital, Orbital resonance, Physics,...
		Orbital, Iain M. Banks, Molecular orbital, Orbital resonance, Physics...
		a Culture Orbital is a fictional type of space habitat from Iain M. Banks' "The Culture" science fiction universe
	www.thebestlinks.com /Orbital.html (163 words)

	[9.02] The Co-orbital Resonance and Extrasolar Planets (Site not responding. Last check: 2007-11-07)
		We explore the possible configurations for coplanar planets in co-orbital resonance and discuss the implications for extrasolar planet searches.
		We use an estimate of the Lyapunov time to map the available parameter space of orbit eccentricities and orientations and characterize the major regions with long Lyapunov times.
		We find at least one additional set of stable configurations where one planet is initially on a highly eccentric orbit, the other planet is on a circular orbit, and the planets swap eccentricities over several hundred orbits.
	www.aas.org /publications/baas/v34n3/dda2002/14.htm (169 words)

	Orbit Nibiru Zecharia Sitchin Elliptical Alan Alford 2000CR105 Ice Ages
		They occur when the orbital period of one body is related to that of another body by a ratio of integers (3:1, 2:1, etc).
		If these more distant objects were also to show a resonance pattern, but this time with an unknown perturber beyond the Kuiper Belt, then the position of this planetary body may be readily verifiable in the not too distant future (the first KBO was only discovered in 1992 (9)).
		As such, if resonance turned out to be a common feature of planetary systems, we could no longer surmise a regularity for the early solar system based upon its current appearance.
	www.darkstar1.co.uk /ds22.html (5574 words)

	Jupiter and Its Moons (Site not responding. Last check: 2007-11-07)
		The orbits of Io, Europa, and Ganymede are in resonance…
		•Io’s orbital period is half that of Europa.
		•Callisto is NOT in orbital resonance with Ganymede.
	www.ifa.hawaii.edu /users/lin/ast110-6/ast110-14_files/slide0007.htm (95 words)

	NASA's Cosmos
		The orbital parameters of many asteroids are very similar, as shown in this diagram of orbital inclination (vertical axis) plotted as a function of orbital distance from the Sun (horizontal axis).
		The Hungaria and Phocaea group of asteroids at high inclinations are separated from the main belt by resonance with Jupiter, that clears asteroids out of certain locations, and they are not true families.
		The Kirkwood gaps, also cleared by resonance, are noticeable by vertical white spaces; the one at 2.5 AU corresponds to an orbital period of 4 years and the 3:1 resonance.
	ase.tufts.edu /cosmos/print_images.asp?id=13 (1994 words)

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