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On Sun, 17 Feb 2013 19:17:37 +0100, Paul Schlyter
wrote: The IAU definition is less satisfactory, since the same meteor can be a "fireball" to one observer nearby but a "non-fireball" to another observer farther away. The IMO definition removes that inherent subjectivity in the definition of "fireball". I agree that the IMO definition is better. In practice, however, I don't know any IMO members who use it. Almost everybody sticks with the IAU value of -4, although correction for zenith angle is common. People seldom worry about the exact magnitude at the low end and simply refer to any meteor that is observed to be brighter than _about_ magnitude -4 somewhere along its ground path as a "fireball". That's because any brightness chosen is arbitrary. At very roughly mag -4, we are dealing with meteors that have a significant potential for producing meteorites, hence the distinction. In fact, the IAU (Commission 22) is currently reviewing the terminology associated with meteors and meteorites, and it will probably be changed. AFAIK, however, there is no intent to create a definition for "bolide", so presumably that term will continue to be avoided by most researchers. |
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In sci.astro.amateur message
t, Sun, 17 Feb 2013 07:54:46, Paul Schlyter posted: On Sat, 16 Feb 2013 17:36:04 -0700, Chris L Peterson wrote: On Sat, 16 Feb 2013 22:11:54 +0100, Paul Schlyter wrote: What's thé formal definition of fireball?? The IAU formally defines a fireball as any meteor brighter than the brightest planet, which is generally taken as magnitude -4. That's the definition of bolide too: a meteor brighter than Venus. "Bolide" is sometimes used by astronomers in reference to a fireball that is observed to break up, and it is used by geologists in reference to a crater forming object. I think we can find other uses of "fireball" as well, particularly by non-astronomers... Does the IAU have any formal definition of, or connected with, the term "Lagrange Point", and if so where is it? -- (c) John Stockton, nr London, UK. Mail via homepage. Turnpike v6.05 MIME. Web http://www.merlyn.demon.co.uk/ - FAQqish topics, acronyms and links; Astro stuff via astron-1.htm, gravity0.htm ; quotings.htm, pascal.htm, etc. |
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On Mon, 18 Feb 2013 20:14:58 +0000, Dr J R Stockton
wrote: Does the IAU have any formal definition of, or connected with, the term "Lagrange Point", and if so where is it? I don't know, but I doubt it, for the simple reason that the term is unambiguous and well described by conventional orbital mechanics (see, for example, the Wikipedia article on the subject). Defining the term in formal nomenclature seems as unnecessary as defining something like "semi-major axis". |
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"Dr J R Stockton" wrote in message
nvalid... In sci.astro.amateur message t, Sun, 17 Feb 2013 07:54:46, Paul Schlyter posted: On Sat, 16 Feb 2013 17:36:04 -0700, Chris L Peterson wrote: On Sat, 16 Feb 2013 22:11:54 +0100, Paul Schlyter wrote: What's thé formal definition of fireball?? The IAU formally defines a fireball as any meteor brighter than the brightest planet, which is generally taken as magnitude -4. That's the definition of bolide too: a meteor brighter than Venus. "Bolide" is sometimes used by astronomers in reference to a fireball that is observed to break up, and it is used by geologists in reference to a crater forming object. I think we can find other uses of "fireball" as well, particularly by non-astronomers... Does the IAU have any formal definition of, or connected with, the term "Lagrange Point", and if so where is it? -- ================================================== ============== There are five, two of which are trojans. They are all special planar solutions to the three body problem for which no general solution exists. See Lorenz butterfly, http://en.wikipedia.org/wiki/Lorenz_system see http://faculty.ifmo.ru/butikov/Proje...llection6.html -- This message is brought to you from the keyboard of Lord Androcles, Zeroth Earl of Medway. When the fools chicken farmer Wilson and Van de faggot present an argument I cannot laugh at I'll retire from usenet. -- This message is brought to you from the keyboard of Lord Androcles, Zeroth Earl of Medway. When the fools chicken farmer Wilson and Van de faggot present an argument I cannot laugh at I'll retire from usenet. |
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In sci.astro.amateur message
, Mon, 18 Feb 2013 17:03:54, Chris L Peterson posted: On Mon, 18 Feb 2013 20:14:58 +0000, Dr J R Stockton wrote: Does the IAU have any formal definition of, or connected with, the term "Lagrange Point", and if so where is it? I don't know, but I doubt it, for the simple reason that the term is unambiguous and well described by conventional orbital mechanics (see, for example, the Wikipedia article on the subject). Defining the term in formal nomenclature seems as unnecessary as defining something like "semi-major axis". First, see my Web site : http://www.merlyn.demon.co.uk/gravity4.htm ff. Secondly, I am familiar with that Wikipedia page; my name appears in the Article and the Discussion, both of which I have in part edited. By the way, it is wrong to say "the Wikipedia article on the subject"; in general, there are many pages on any subject, in many languages, often written independently or partly so - and in this case about 40. Thirdly, the Wikipedia page is considerably in error. A common "definition" refers to the solutions of the circular restricted three-body problem. But it is generally accepted (a) that Lagrange points exist in the Solar System, with some occupied, (b) that there are no truly circular orbits in the Solar System. Some, I think, consider the true orbits to be approximately circular; but circularity is unnecessary for a well-considered solution. Likewise for "restricted", in that restriction is not necessary for solution. Another "definition" is that they are the five points that Lagrange discovered. But I am satisfied that he only wrote one paper - certainly only one well-known paper - related particularly to them. In that paper he discovered two constant-pattern configurations each of three bodies, total six (and did not restrict, and did not need circularity). The final step to the five points for two massive bodies and a particle is trivial; but he did not take that step. In addition, he could NOT have discovered L1 & L2, since Euler did that a few years earlier in E.304 (and omitted the trivial step of discovering L3). Lagrange discovered the two configurations in Chapter 2, using the compendious work of Chapter 1 (which he also used in Chapters 3 & 4). Chapter 1 attempted the fully-general three-body problem, starting in an unexpected manner. By using that manner but ignoring the general case, the constant-pattern solutions can easily be shown, without circularity or restriction. So, as an extreme - consider the case of three bodies, all massive, released at rest at the corners of an equilateral triangle. Their motion is just as well described by Lagrange's work (and by the simplified form) as are those of natural Trojans and of, for example, SOHO. Therefore, they fundamentally have an equal claim to be called Lagrange Points - but those who have not read Lagrange 1772 1 & 2 will not like that. Therefore, the IAU needs a definition, independently of whether it wants one. Those contemplating a reply should first read the first half of Lagrange 1772; and, if applicable, also E.304. -- (c) John Stockton, nr London, UK. Mail via homepage. Turnpike v6.05 MIME. Web http://www.merlyn.demon.co.uk/ - FAQqish topics, acronyms and links; Astro stuff via astron-1.htm, gravity0.htm ; quotings.htm, pascal.htm, etc. No Encoding. Quotes before replies. Snip well. Write clearly. Don't Mail News. |
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On Feb 19, 1:03*am, Chris L Peterson wrote:
On Mon, 18 Feb 2013 20:14:58 +0000, Dr J R Stockton wrote: Does the IAU have any formal definition of, or connected with, the term "Lagrange Point", and if so where is it? I don't know, but I doubt it, for the simple reason that the term is unambiguous and well described by conventional orbital mechanics (see, for example, the Wikipedia article on the subject). Defining the term in formal nomenclature seems as unnecessary as defining something like "semi-major axis". What you are actually saying is that even though Langrangians only exist inside the heads of mathematicians,they have a reality that is so certain that they are equivalent to a physical term like 'orbit'.This is actually a modern phenomena that the wider readership probably are unaware of and I remember reading about these things in 1983 - "A Langrangian is not a physical thing;it is a mathematical thing - a kind of differential equation to be exact.But physics and maths are so closely connected these days that it is hard to separate the numbers from the things they describe.In fact,a month after [Philip] Morrison's remarks,Nobel Prize winner Burton Richter of the Stanford Linear Accelerator Center said something that eerily echoed it: " Mathematics is a language that is used to describe nature" he said "But the theorists are beginning to think it is nature.To them the Langrangians are the reality " Discover Magazine ,1983 How to conjure a mathematical thing into a physical thing extends into modeling everything nowadays up to including climate where no intepretative restraints exist. |
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