Goodness factor - Revision history

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2014-06-16T10:25:51Z

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	~~The '''dynamic method''' is a procedure for the determination~~ of the ~~[[mass]]es of [[asteroid]]s. The procedure gets its name from its use of~~ the ~~[[Classical mechanics\|Newtonian]] laws~~ of ~~the ''dynamics,'' or motion, of asteroids as they move around the solar system~~. The ~~procedure works by taking multiple position measurements~~ to ~~determine~~ the ~~gravitational deflection caused~~ when ~~two or more asteroids move past each other~~. ~~The method relies on the fact~~ that ~~the large number~~ of ~~known asteroids means they~~ will ~~occasionally move past one another at very close distances~~. ~~If at least one of the two interacting bodies is large enough~~, ~~its gravitational influence on the~~ other ~~can reveal its mass~~. ~~The accuracy of the determined mass is limited by the precision and timing of the appropriate [[astrometry\|astrometric~~]~~] observations being made to determine the gravitational deflection caused by~~ a ~~given interaction~~.<~~ref name=Kochetova-2004~~>~~{{Cite journal \| title = Determination of Large Asteroid Masses~~		In these times of open-kitchen tasting-menu restaurants and nose-to-tail butchery classes, the knife has develop into a fetishized objectnot just among culinary-college grads but on the countertops of daily New Yorkers. The chef kitchen knife which appears to the left is your bread and butter when it comes to cutting something. Under is also a handful of knives that are advised as cost-effective and worthy of each day use. Typically about two to 4 inches you will locate a tiny little knife like this readily available in a knife set. However, you might in fact use a bread knife for other purposesis in fact a secure knife to have around [https://www.Vocabulary.com/dictionary/harmful+individuals harmful individuals]! I might get a set for my kitchen soon.<br><br>Not only that but it is the fastest knife to open that I have ever observed-yes I have noticed numerous automatic knives but in the correct hands you can open a butterfly knife in about half the time think it or not. I am truly talented with Bali knives but I have gone threw two knives and they break I'm hoping to discover a reliable a single. Mainly because everybody has their own cooking and cutting preferences, there actually is not a single knife that is the very best for each kitchen. I like also wood deal with knives.<br><br>But some blades, like stain-prone high-carbon ones, demand specific care, says Jonathan Benno of Lincoln Ristorante You can remove rust and other spots with a sabitoru (or eraser) from Korin ($eight) Benno also [http://www.Britannica.com/search?query=recommends+periodically recommends periodically] treating high-carbon knives with tsubaki oil ($11 for three.8 ounces ) to protect against corrosion. The Osaka-produced knives at Brushstroke are rather tough to supply ask for a related style at Korin. There are other that are outstanding knives.<br><br>Seeking at the general design and style of the knives tested, I would say that only the Calphalon Steel handle and the Shenzen knives had been of the traditional french pattern, while the rest had been santoku-derived. I'm curious if it would be possible to repeat the test by isolating the french-pattern and santoku-pattern knives with a steel manage for each and every. I was extra cautious not to use this knife when i was cutting around bones.<br><br>I've starred this thread so I can go get a inexpensive cleaver and one particular of these paring knives Lainie pointed out. If you beloved this article and you would like to acquire much more details Best Steak Knives Brand pertaining to [http://www.thebestkitchenknivesreviews.com/best-steak-knives-reviews/ Premium Steak Knives] kindly pay a visit to the web site. I have a Wusthof meat cleaver, but the rest of my knives are made by C. Jul. I inherited my dad's knife roll of Henckels that are older than me. The only two knives I use are the chef's and the paring. The grinding process for each and every side takes two minutes to total, according to Cooks Illustrated. Glenn, nope no information on Bismark knives.<br><br>Who they're for: Mainly because of their light weight, ability to take an really sharp edge, and versatility, they are excellent all-about knives that excel at mincing, precision vegetable prep, light protein prep, and basic feeling awesomeness. Higher-good quality Swedish steel treated to a Rockwell hardness rating of 59-60 means that this blade can get sharp, and a lot more importantly keep sharp via repeated use.<br><br>Kitchens have to have very good knives and what much better than these German engineered, higher carbon stainless steel beauties The metal holds an edge and is flexible not to break but enables honing for sharpening purposes. There are also forks, knife blocks and far more in retailer for the discerning master in your kitchen. Also steak knives, slicers, bread knives, blocks with inbuilt sharpeners, rotating knife blocks and Santoku knives.
	by the Dynamical Method \| last = Kochetova \| first = O.M. \| journal = Solar System Research \| volume = 38 \| issue = 1 \| year = 2004 \| pages = 66–75\|bibcode = 2004SoSyR..38...66K \|doi = 10.1023/B:SOLS.0000015157.65020.84 }}<~~/ref~~>

	~~Because~~ the ~~method relies on detecting~~ the ~~amount of gravitational deflection induced during an interaction, the procedure works best for objects which will produce~~ a ~~large deflection~~ in ~~their interactions~~ with ~~other objects~~. ~~This means~~ that the ~~procedure works~~ best for ~~large objects~~, ~~but it~~ can also ~~be effectively applied~~ to ~~objects which have repeated close interactions with each~~ other ~~such as when the two objects~~ are ~~in [[orbital resonance]] with one another~~. ~~Regardless~~ of the ~~mass~~ of the ~~interacting objects~~, the ~~amount of deflection will be greater~~ if ~~the objects approach nearer to each other and~~ it ~~will also~~ be ~~greater if the objects pass slowly, allowing more time for gravity~~ to ~~perturb~~ the ~~orbits of~~ the ~~two objects~~. ~~For large enough asteroids~~ this ~~distance~~ can ~~be as large as ~0~~.~~1 AU, for less massive asteroids the conditions of the interaction~~ would ~~need~~ to ~~be correspondingly better~~.~~<ref name=Kochetova~~-~~2004~~/>

	~~== Mathematical analysis ==~~
	~~The simplest way~~ to ~~describe~~ the ~~deflection~~ of ~~the asteroids is in the case where one object is significantly more massive than the other~~. ~~In this case the equations~~ of ~~motion~~ are the ~~same as for that of [[Rutherford scattering]] between oppositely charged objects (so that~~ the ~~force if attractive rather than repulsive)~~. ~~When rewritten in the more familiar notation used in celestial mechanics deflection angle can be related~~ to ~~the eccentricity of the hyperbolic orbit of the smaller object relative~~ to ~~the larger one by the following formula:~~<~~ref~~>~~{{Cite book \| title = Classical Mechanics~~: ~~A Modern Perspective \| edition = 2nd~~. ~~\| last1 = Barger \| first1 = Vernon D. \| last2 = Olsson \| first2 = Martin G. \| year = 1995 \| publisher = McGraw~~-~~Hill \| isbn = 0~~-~~07-003734-5 \| chapter = 5~~.~~6}}~~<~~/ref~~>

	:<~~math~~>~~\sin \left( \frac{\Theta}{2} \right) = \frac{1}{\epsilon}</math>~~

	~~Here <math>\Theta</math> is the angle between the [[asymptote]]s of the [[hyperbolic orbit]] of the small object relative~~ to ~~the large one~~, and ~~<math>\epsilon</math>~~ is ~~the eccentricity of this orbit (which must be greater than 1~~ for ~~a hyperbolic orbit)~~.

	A more sophisticated description using [[matrix (mathematics)\|matrices]] can be achieved by separating the observed objects position on the sky as a function of time into the sum of two components: one which is a result of the relative motion of the objects themselves, and the ~~other the motion induced by the gravitational influence of the two bodies~~. ~~The relative contributions of the two terms in the best fit of this equation onto the actual observations of the objects yields the objects masses~~.

	~~== References ==~~
	~~{{Reflist}}~~

	~~{{Asteroids}}~~

	~~[[Category:Asteroids]]~~
	~~[[Category:Astrometry]]~~
	~~[[Category:Celestial mechanics]]~~

en>Addbot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q5583492

2013-03-21T19:25:34Z

Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q5583492

← Older revision		Revision as of 21:25, 21 March 2013
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	~~Dancer or Choreographer Herb~~ from ~~Stratford~~, ~~has many interests including cycling~~, ~~opal~~ and ~~stamp collecting~~. ~~Has toured ever since childhood~~ and ~~has traveled~~ to ~~several places~~, ~~including Landscape~~ of ~~Grand Pré~~.<br><br>~~Visit my webpage~~ ... ~~[http~~://~~www~~.~~comoganhardinheiro101~~.~~com como ganhar dinheiro pela internet~~]		The '''dynamic method''' is a procedure for the determination of the [[mass]]es of [[asteroid]]s. The procedure gets its name from its use of the [[Classical mechanics\|Newtonian]] laws of the ''dynamics,'' or motion, of asteroids as they move around the solar system. The procedure works by taking multiple position measurements to determine the gravitational deflection caused when two or more asteroids move past each other. The method relies on the fact that the large number of known asteroids means they will occasionally move past one another at very close distances. If at least one of the two interacting bodies is large enough, its gravitational influence on the other can reveal its mass. The accuracy of the determined mass is limited by the precision and timing of the appropriate [[astrometry\|astrometric]] observations being made to determine the gravitational deflection caused by a given interaction.<ref name=Kochetova-2004>{{Cite journal \| title = Determination of Large Asteroid Masses
			by the Dynamical Method \| last = Kochetova \| first = O.M. \| journal = Solar System Research \| volume = 38 \| issue = 1 \| year = 2004 \| pages = 66–75\|bibcode = 2004SoSyR..38...66K \|doi = 10.1023/B:SOLS.0000015157.65020.84 }}</ref>

			Because the method relies on detecting the amount of gravitational deflection induced during an interaction, the procedure works best for objects which will produce a large deflection in their interactions with other objects. This means that the procedure works best for large objects, but it can also be effectively applied to objects which have repeated close interactions with each other such as when the two objects are in [[orbital resonance]] with one another. Regardless of the mass of the interacting objects, the amount of deflection will be greater if the objects approach nearer to each other and it will also be greater if the objects pass slowly, allowing more time for gravity to perturb the orbits of the two objects. For large enough asteroids this distance can be as large as ~0.1 AU, for less massive asteroids the conditions of the interaction would need to be correspondingly better.<ref name=Kochetova-2004/>

			== Mathematical analysis ==
			The simplest way to describe the deflection of the asteroids is in the case where one object is significantly more massive than the other. In this case the equations of motion are the same as for that of [[Rutherford scattering]] between oppositely charged objects (so that the force if attractive rather than repulsive). When rewritten in the more familiar notation used in celestial mechanics deflection angle can be related to the eccentricity of the hyperbolic orbit of the smaller object relative to the larger one by the following formula:<ref>{{Cite book \| title = Classical Mechanics: A Modern Perspective \| edition = 2nd. \| last1 = Barger \| first1 = Vernon D. \| last2 = Olsson \| first2 = Martin G. \| year = 1995 \| publisher = McGraw-Hill \| isbn = 0-07-003734-5 \| chapter = 5.6}}</ref>

			:<math>\sin \left( \frac{\Theta}{2} \right) = \frac{1}{\epsilon}</math>

			Here <math>\Theta</math> is the angle between the [[asymptote]]s of the [[hyperbolic orbit]] of the small object relative to the large one, and <math>\epsilon</math> is the eccentricity of this orbit (which must be greater than 1 for a hyperbolic orbit).

			A more sophisticated description using [[matrix (mathematics)\|matrices]] can be achieved by separating the observed objects position on the sky as a function of time into the sum of two components: one which is a result of the relative motion of the objects themselves, and the other the motion induced by the gravitational influence of the two bodies. The relative contributions of the two terms in the best fit of this equation onto the actual observations of the objects yields the objects masses.

			== References ==
			{{Reflist}}

			{{Asteroids}}

			[[Category:Asteroids]]
			[[Category:Astrometry]]
			[[Category:Celestial mechanics]]

en>Citation bot: Citations: [239]Tweaked: volume. Kkmurray

2011-01-12T14:14:28Z

Citations: [239]Tweaked: volume. Kkmurray

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Dancer or Choreographer Herb from Stratford, has many interests including cycling, opal and stamp collecting. Has toured ever since childhood and has traveled to several places, including Landscape of Grand Pré.<br><br>Visit my webpage ... [http://www.comoganhardinheiro101.com como ganhar dinheiro pela internet]