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Re: (meteorobs) pb of population index definition



Hello Jeremie,

I wrote Chapter 7 of the NAMN Guide based on what I had learned from 
observing with the International Meteor Organization and from their 
handbooks. I will look up the information and see if it provides how they 
arrived at that relationship. I haven't seen the Icarus article so can't 
comment. But I will forward a copy of your email to both Peter and Juergen 
to see if they would like to comment.

Clear skies!

Mark Davis
meteors@comcastdot net


----Original Message Follows----
From: Jeremie VAUBAILLON <vaubaill@bdl.fr>
Reply-To: meteorobs@atmob.org
To: meteorobs@atmob.org
Subject: (meteorobs) pb of population index definition
Date: Mon, 15 Jul 2002 14:46:02 +0200

Hello you all !

I have a simple question, dealing with a problem of population index
determination :

In "Meteors showers and their observations", NAMN Guide, chapter 7, we find 
:
"r is a value indicating how many more times meteors of magnitude m+1 appear
than meteors of magnitude m. [..] Example : m=4, r=3 => tree times as many
meteors of magnitude 5 appear than meteors of magnitude 4".

I conclude : r = n(m+1) / n(m),
where n(m) is the number of meteors of magnitude m. I call this method 
method 1

On the other hand, in "The Perseid meteoroid stream : characterization odf
recent ectivity from visual observations", Brown & Rendtel, Icarus, 124,
414-428, 1996, we can read :
"r=N(m+1)/N(m),
where N(m) is the TOTAL bumber of meteors of magnitude m OR LESS."
Whith this definition, we have :
N(m) = sum(n(m)), with m < smallest magnitude sawn
and r = N(m+1) / N(m)
I call this method method 2.

These 2 definitions are completely different and lead to different value of 
r.

Now, lets take a concreate example :

In "Comparison between Leonid meteor shower observation during 1998-200", 
PSS,
50, 379-384 (2002), table 2 : lets try to compute r just from the first line 
:
m      =   4.5    0.5    -3.2
n(m) =    33     10       10

value of r = 1.76

Now the question is : where does this value 1.76 come from ? Is it an 
average
value ? I suppose yes, but averaging what ?
Method 1 leads to r = 33/10=3.3 and 10/10=1. average is 2.15
Method 2 leads to r = (33+10+10)/(10+10)= 2.65 and (10+10)/10 = 2. average 
is
2.33

So before I ask the author (who is perhaps here...), I would ike to be sure 
of
what I am speaking of.



Last question : is it scientificly correct to compute an average value of r, 
if
there is not so many meteors, and so a great scattering  in the values of r 
? I
ask this, because I would like to compute r from our video observations...

Thanks a lot for any answer, and clear skies !

Jeremie

--
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* Jeremie VAUBAILLON
* Institut de Mecanique Celeste et de Calcul
* des Ephemerides (www.bdl.fr)
* 77 Avenue Denfert Rochereau
* 75014 PARIS
* FRANCE
************************************************************
* tel : +33 (0)1 40 51 22 66
* fax : +33 (0)1 40 51 20 58
* URL : http://www.bdl.fr/Equipes/GAP/equipeGAP-JV.html
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