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10 YEARS OF VISUAL AND
CCD PHOTOMETRY OF ASTEROIDS FOR THE MAP |
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SUMMARY |
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INTRODUCTION |
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HISTORY OF THE MAP |
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RESULTS OF THE MAP ON
OCTOBER 30,2006 |
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ANALYSES OF THE MAP
RESULTS |
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THE TOOLS OF THE MAP |
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METHODS AND DEVELOPMENT |
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VISUAL METHOD |
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| |
USE OF THE CCD MEASURES
UP TO 2005 |
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DEVELOPMENTS FOR THE
INCREASE OF ACCURATE CCD MEASURES |
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CONCLUSIONS |
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| INTRODUCTION |
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| Since
1801, more than 362500
asteroids have been discovered and 145705 of them are numbered at mid- |
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| December
2006 |
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| |
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| The
observed magnitudes of the minor planets are useful for : |
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| |
the computation of the
absolute magnitudes |
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| |
the constitution of the
ephemerides |
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| |
the estimation of the rough diameters of the asteroids |
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| |
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| |
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| Evolution
of the magnitude types for the asteroids and their absolute magnitudes |
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| |
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| Up
to 1985, the absolute magnitude B(1,0) was based on the photographic B band
of the UBV system |
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| The
photographic plates were at that time the tool of the observatories |
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| The
magnitudes B(1,0) used then were issued from published lists officialized in
1978 |
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| |
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| After
1985, there was a change of band for the absolute
magnitude renamed H
and passing to the V band |
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| The
standard conversion from the B magnitude to V had been made by H = B(1,0) -1,0 mag |
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| |
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| |
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|
| Actual
Formula for the computation of the V magnitudes of the ephemerides : |
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|
| Based
on the absolute magnitude of an asteroid located at 1 astronomical unit to
the Sun and Earth |
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| Formula
adoptes by the IAU commission 20 in November 1985 : |
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| |
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| |
magnitude
= H + 5 * log(r*delta) - 2,5 * log [ (1-G)*phi1 + G*phi2 ] |
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| |
with |
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| |
phi1 = exp[ -3,33*(tan
(bęta/2) )0,63] |
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| |
phi2 = exp[ -1,87*(tan
(bęta/2) )1,22] |
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| |
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|
| H is the averaged absolute
magnitude in the V band, with the solar phase
angle = 0° |
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|
| G is the slope parameter ( standardized to 0,15 if the G parameter is unknown ) |
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|
| r and Delta respectively are the heliocentric and geocentric distances |
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|
| Phi
1 and Phi 2 are two phase functions |
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| beta is the angle phase |
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| |
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| NB
: The formula predicts the observed opposition surge and the non-linear drop
off in brightness at large phase |
|
| angles
and is valid from 0 <= beta <= 120 degrees |
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| |
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| Various
remarks : |
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| The
H magnitudes of the numbered asteroids have been used
for the first time in the "Ephemerides |
|
|
| of
Minor Planets" of 1988 |
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| |
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| Some
modifications of these H
magnitudes have been made mostly in 1992 and other revisions for the |
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| last
time in 1998 |
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| The
asteroids with problems of magnitude are numerous : about 1 on 10 observed
objects |
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| |
(estimation based on
the total of MAP or pre-MAP objects with regard to the 4500 different objects
seen by Harvey) |
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| Various
differences of absolute magnitude have been reported by the visual observers
before 1996. |
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| The
most part of the high discrepancies seen before 1998 have been taken in
account by the MPC : |
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| |
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|
TABLE OF OBJECTS WITH A
HIGH DISCREPANCY OF ABSOLUTE MAGNITUDE - 1980 TO 1996 |
|
|
| NAME AND NUMBER |
DIFF. |
|
NAME |
MAG. |
MAG. |
MAG. |
MAG. |
|
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|
|
| ASTEROID |
MAG. |
DATES |
OBSER- |
B(1,0) |
H |
H |
H |
REMARKS |
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| |
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|
SEEN |
|
VER |
EMP87 |
88-91 |
92-97 |
1998 to |
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|
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| ( F= fainter or B= brighter than predicted in the annual EMP ) |
|
2006 |
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| |
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|
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| 316
Goberta |
|
1,2 +B |
88/11/11 |
Pilcher |
11,5 |
11,5 |
9,8 |
9,8 |
Correction
on EMP92 |
|
|
| 473
Nolli |
|
1,0 +F |
88/02/10 |
Harvey |
- |
10,0 |
12,3 |
12,3 |
Correction
on EMP92 |
|
|
| 1206
Numerowia |
|
1,6 +F |
89/10/22 |
Harvey |
12,4 |
9,5 |
11,2 |
11,8 |
Correction
on EMP92 |
|
|
| 1212
Francette |
|
2,0 +F |
80/02/12 |
Pilcher |
8,0 |
9,4 |
9,5 |
9,54 |
Correction
on EMP87 |
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| |
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|
0,8 +F |
83/08/09 |
Fabre |
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| |
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|
2,2 +F |
85/10/10 |
Harvey |
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|
| 1293
Sonja |
|
1,8 +F |
92/11/08 |
Harvey |
15,4 |
14,0 |
12,0 |
12,0 |
Error
on EMP92 |
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| |
|
1,3-1,6 +F |
96/08/09 |
Faure |
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|
| 1656
Suomi |
|
1,0 +F |
87/11/21 |
Harvey |
15,4 |
13,1 |
12,4 |
12,4 |
Error
on EMP87-92 |
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| |
|
|
1,1 +F |
96/02/24 |
Faure |
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|
| 1663 Van Den Bos |
1,5 +B |
90/11/12 |
Harvey |
14,9 |
13,7 |
12,2 |
12,2 |
Correction
on EMP92 |
|
|
| 1890 Konoshenkova |
1,0 +F |
95/12/21 |
Harvey |
12,6 |
11,2 |
10,8 |
10,8 |
Error
on EMP92 ? |
|
|
| 2143
Jimarnold |
|
2,5 +F |
97/08/31 |
Faure |
15,3 |
14,1 |
11,2 |
14,3 |
Correction
on EMP98 |
|
|
| 2183
Neufang |
|
1,0 +F |
90/06/20 |
Harvey |
12,6 |
11,4 |
11,5 |
11,5 |
|
|
|
|
| 2491
Tvashtri |
|
1,5 +F |
87/01/03 |
Harvey |
14,6 |
13,7 |
13,7 |
13,68 |
|
|
|
|
| 2791
Paradise |
|
1,3 +F |
88/01/24 |
Harvey |
13,0 |
11,5 |
12,2 |
11,5 |
|
|
|
|
| 3578
Carestia |
|
1,8 +F |
91/10/04 |
Faure |
- |
10,5 |
8,1 |
11,6 |
Error
on EMP 89/92 |
|
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| |
|
|
1,9 +F |
91/10/13 |
Harvey |
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|
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|
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| |
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|
3,0 +F |
96/07/22 |
Garrett |
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|
|
Correction
on EMP98 |
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| |
|
|
3,1 +F |
96/09/04 |
Garrett |
|
|
|
|
|
|
|
|
| 3873
Roddy |
|
1,4 +F |
92/12/03 |
Harvey |
- |
13,1 |
11,8 |
12,0 |
Error
on EMP92 |
|
|
| |
|
1,3-1,6 +F |
96/06/11 |
Faure |
|
|
|
|
|
|
|
|
| 4116
Elachi |
|
1,2 +F |
94/03/16 |
Harvey |
- |
13,3 |
13,0 |
13,2 |
|
|
|
|
| 4729
1980 RO2 |
|
1,3 +B |
90/10/17 |
Harvey |
- |
- |
13,1 |
13,0 |
|
|
|
|
| 4744
1988 RF5 |
|
1,2 +F |
91/01/26 |
Harvey |
- |
11,6 |
10,9 |
11,1 |
Error
on EMP92 ? |
|
|
| 5641
Mc Cleese |
|
1,7 +F |
95/03/25 |
Harvey |
- |
- |
12,7 |
12,7 |
|
|
|
|
| 5905
Johnson |
1,1-1,4 +F |
95/08/02 |
Harvey |
- |
- |
13,0 |
13,2 |
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| |
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| |
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|
| Causes
of the high discrepancies of H magnitude |
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| |
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|
| Eventual
errors of the photographic magnitude measures which
served as basis for the calculation of |
|
|
| the
absolute magnitudes B(1,0) modified after in H magnitudes |
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| |
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|
| New
inaccuracies relating to the standard conversion from B(1,0) to H by H = B(1.0) + 1.0 mag, for |
|
|
| some
of the first thousand of numbered asteroids |
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|
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| |
|
|
| The
H Magnitudes of the new numbered minor planets often computed from magnitudes
of different |
|
|
| color
bands, and/or sometimes with
a small number of photometric measures, the actual main goal of |
|
|
| the
MPC being to do accurate orbital elements for the legions of new discovered
asteroďds |
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| |
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| |
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|
| HISTORY OF THE MAP |
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| |
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| |
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|
| Late
in the year 1996, creation of the "Magnitude Alert
Project" ( MAP ) by
Lawrence GARRETT from
the |
|
|
| ALPO
Minor Planet Section ( Association of Lunar and Planetory Observers ) to do messages of alerts on the |
|
|
| asteroids
suspected to have a real magnitude different from the predicted magnitudes of
the ephemerides. |
|
|
| He
was helped by Dr. Richard Binzel in getting the start of the Magnitude
Program |
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|
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| |
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| As
I also had the same wish for the asteroids with magnitude discrepancies, I
joined immediately the MAP. |
|
|
|
| Soon,
we completed the MAP by a program of follow-up of the
MAP objects, for the estimation of their true H |
|
|
| magnitude. |
|
|
|
| As
a member of AUDE ( Association des Utilisateurs de Détecteurs Electroniques,
managed by Dr François COLAS |
|
| as
the Chairperson ), I proposed to do measures for the MAP to the other AUDE
members |
|
|
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| |
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|
| This
Observation project then is run by the Minor planet Section ( Prof. Frederick
PILCHER as the coordinator |
|
|
| and
Lawrence GARRETT as the acting assistant coordinator ) and by the French AUDE
association. |
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| |
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| |
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|
| The
goals of the MAP are then to find the asteroids with errors of H magnitude equal to 0,3 magnitude and |
|
| more, and to follow the MAP objects on many oppositions for a better estimation of the true H magnitude |
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| |
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| For
this goal, we must obtain many measures in V or similar
to V and made on several oppositions, |
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| by
several observers, to permit STATISTICALLY the elimination of the sources of errors (variability, |
|
|
| personal
deviation and various causes of random errors ). |
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| |
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|
| For
that, some measures made
during a night on one or some MAP objects always are useful. |
|
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| It's
an easy task, feasible on a part of night…or between two other types of
observations. |
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| |
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| |
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|
|
| THE
ACTUAL NICHE OF THE MAP ( AMONG THE AMATEURS ) |
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| |
|
|
|
| ASTEROIDS
< 6 UA |
OCCULTATIONS |
LIGHTCURVES |
|
MAP |
|
|
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| |
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|
|
| DIAM.
> 75 KM |
|
Known accurate orbit |
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| |
|
Sure occult. Sites |
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| |
|
sűre H mag to 0.1 mag |
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|
=> out of MAP goals |
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| |
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|
| Diameter |
|
very accurate |
|
no |
|
|
|
| 0.01
mag H accuracy |
with help lightcurve |
Adjustment
on |
|
no |
|
|
|
| albedo |
|
with help lightcurve |
the V band to do…. |
|
no |
|
|
|
| taxonomical
type |
|
with help lightcurve |
|
no |
|
|
|
| period
of rotation |
|
|
no |
|
yes |
|
sometimes possible |
|
|
| Light
variability |
|
|
no |
|
yes |
|
|
seen if high |
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|
|
| visible
shapes of object |
|
yes |
|
yes |
|
no |
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| |
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|
| DIAM.
< 75 KM |
|
Orbit less accurate |
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| |
|
Narrow width of occ.line |
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| |
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|
| 0.1
mag H accuracy |
|
not easy |
difficult adjustment on
V band |
possible |
|
|
| estimation
of diameter |
|
not easy |
( faint stars + filters
) |
|
possible |
|
|
| period
of rotation |
|
no |
|
yes |
|
sometimes possible |
|
|
| Light
variability |
|
no |
|
yes |
|
seen if high |
|
|
|
| visible
shapes of object |
|
not easy |
|
fairly good |
|
no |
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| |
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| |
|
OBLIGATION TO OBSERVE
AGAIN THE OBJECT AT SEVERAL OPPOSITIONS |
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| |
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| |
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|
| From
1997 to 2002, the observers of 2 associations formed the
hard core of the MAP observers : |
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| |
The visual observers of
the ALPO Minor Planet Section |
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|
| |
The AUDE observers using CCD cameras |
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| |
|
|
|
|
|
|
| All
the 6 most active visual observers are members of the virtual club named
"Millenium Club",
which contains, |
|
|
| with
Paul COMBA and Tom LASKOWSKY, the eight observers
who observed visually
MORE THAN 1000 |
|
|
|
| DIFFERENT
ASTEROIDS ... and even
several thousands as Roger HARVEY, unmatched
world record |
|
|
| holder
with more than 4400 minor planets ! |
|
|
|
| |
|
|
| The
CCD observers, mainly AUDE
members, discovered since 1996 many asteroids ,
supernovae and |
|
|
|
| made
numerous lightcurves which permitted the discovery of several binary
asteroids, but also many |
|
|
| variable
stars in the images of the followed asteroids ( group "CDR-CDL" managed by Raoul BEHREND
) |
|
|
| |
|
|
|
| Some
other active CCD observers, notably Americans ( Brian
WARNER from the CALL,... ) or Italians ( Sergio |
|
|
| FOGLIA et al ) also made measures for the MAP, directly or
indirectly during their lightcurve work. |
|
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| |
|
|
| |
|
|
| Since
2003, the activity mainly continued visually |
|
|
|
| |
The difficulties
to obtain accurate CCD magnitudes by the amateurs
were the causes of the retirement by |
|
|
| |
a majority of the CCD
observers |
|
|
|
| |
Reorientation
from a part of the CCD observers toward the asteroid lightcurves, more easy
feasible and |
|
|
| |
more desired by the
professional astronomers. |
|
|
|
| |
|
|
| |
|
|
| |
TABLE OF THE MORE ACTIVE
MAP OBSERVERS |
|
|
|
| |
In blue, the visual observers |
In gold, the CCD
observers ( measures often linked to lightcurves ) |
|
|
| |
|
|
|
| OBSERVER NAME |
|
|
TOTAL OF MEASURES |
visual |
CCD |
CCD |
CCD |
|
|
| |
|
( on December 31,2006 ) |
estimations |
Tycho |
USNO |
GSC |
|
|
| |
|
|
|
|
| Gérard
FAURE |
|
|
France |
715 |
|
667 |
44 |
4 |
|
|
|
| René
ROY |
|
|
France |
474 |
|
|
402 |
72 |
|
|
| Andrew
SALTHOUSE |
|
|
USA |
295 |
|
295 |
|
|
|
| Roger
HARVEY |
|
|
USA |
293 |
|
293 |
|
|
|
| Jean-Marie
LLAPASSET |
|
|
France |
200 |
|
|
132 |
68 |
|
|
| Pierre
ANTONINI |
|
|
France |
174 |
|
|
92 |
82 |
|
|
| Bernard
CHRISTOPHE |
|
|
France |
138 |
|
|
138 |
|
|
|
| Lawrence
GARRETT |
|
|
USA |
122 |
|
122 |
|
|
|
| Claude
BOIVIN |
|
|
Canada |
110 |
|
|
78 |
32 |
|
|
| Stefano
SPOSETTI |
|
|
Swiss |
102 |
|
|
26 |
60 |
42 |
|
|
| Robin
CHASSAGNE |
|
|
France |
91 |
|
|
39 |
52 |
|
|
| Stephane
MORATA/Didier MORATA |
France |
68 |
|
|
43 |
25 |
|
|
| Raoul
BEHREND ( +6 MOWLAVI + REVAZ) |
Swiss |
64 |
|
|
54 |
10 |
|
|
|
| Frederick
PILCHER |
|
|
USA |
62 |
|
62 |
|
|
|
| Bruno CHARDONNENS |
|
|
Swiss |
43 |
|
|
43 |
|
|
|
| Olivier
THIZY |
|
|
France |
42 |
|
|
1 |
41 |
|
|
| Serafino
Zani Observatory |
|
Italy |
41 |
|
|
41 |
|
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| (FOGLIA,CREMASHINI,
MARINELLO, PIZETTI) |
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| Emmanuel
BROCHARD |
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France |
34 |
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17 |
17 |
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| Raymond
PONCY |
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France |
33 |
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18 |
|
15 |
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| Fernand
VAN DEN ABBEEL |
|
Belgium |
29 |
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14 |
15 |
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| Dennis
CHESNEY |
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USA |
27 |
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27 |
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| Ben
HUDGENS |
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|
USA |
26 |
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26 |
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| Philippe
MARTINOLE |
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France |
24 |
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24 |
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| Jean-Gabriel
BOSCH |
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Swiss |
23 |
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23 |
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| |
CHARACTERISTICS OF THE
VISUAL OBSERVERS OF THE MAP, ON DECEMBER 31,2006 |
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(by chronological order
of entrance in the Millenium Club) |
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visual |
Visual |
Actual |
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Obser- |
Local |
Total |
Total |
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Honoured |
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Observers |
activity |
teles- |
Country |
vation |
limit |
obser- |
different |
by the |
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|
since |
cope |
|
site |
mag. |
vations |
asteroids |
asteroid |
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|
...... |
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| PILCHER |
1968 |
35 cm |
USA |
Illinois |
14,9 |
> 4500 |
1816 |
|
(1990) Pilcher |
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| HARVEY |
1974 |
73 cm |
USA |
North |
16 |
> 9500 |
4493 |
|
(4278) Harvey |
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Carolina |
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| FAURE |
1975 |
20 cm |
France |
Isere |
16,5 |
~ 4600 |
1974 |
|
(8297) Gerardfaure |
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| SALTHOUSE |
1965 |
44 cm |
USA |
New |
14,5 |
18600 |
1728 |
not yet |
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Jersey |
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| HUDGENS |
1972 |
40 cm |
USA |
Texas |
15,5 |
> 4500 |
1980 |
not yet |
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| GARRETT |
1974 |
32 cm |
USA |
Vermont |
15,9 |
> 2500 |
1223 |
not yet |
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THE SIX MORE ACTIVE
VISUAL OBSERVERS IN THE MAP |
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| Frederick PILCHER |
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Roger HARVEY |
|
Gérard FAURE |
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| Andrew SALTHOUSE |
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Ben HUDGENS |
|
Lawrence GARRETT |
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THE ASTRONOMICAL
EQUIPMENTS USED BY THE VISUAL OBSERVERS |
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|
C 14 PILCHER |
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| Type of Celestron 14 used by Frederick
PILCHER |
Dome and 29 inch Telescope from Roger
HARVEY |
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| Celestron 8 and movable panels used by
Gerard FAURE |
Andrew SALTHOUSE and his 17 inch
telescope |
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| Ben HUDGENS and one of his telescopes (
Meade 16 ) |
Lawrence GARRETT near his 13 inch
telescope |
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| The
five American observers use big telescopes but are hindered by the light
pollution of the nearest cities. |
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| Contrary
to all expectations, the small telescope of 20 cm, used under a pure mountain
sky, has |
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| one
of the highest limit magnitudes. |
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| The
theoritical limit of magnitude for a telescope is soon exceeded, when the
observer can see through an |
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| eyepiece,
under a pure and quiet sky, at more than 20° over the horizon and by high
magnification. |
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| RESULTS OF THE MAP ON OCTOBER 30,2006 |
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| MAP
asteroid by group : |
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| Near
Earth Asteroids |
|
42 |
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|
| Mars-crossers |
|
27 |
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| Hungarias |
|
8 |
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| Cisjovian
Belt |
|
332 |
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| Jupiter-trojans
and jupiter-crossers |
|
7 |
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| asteroids
in the MAP Database on October 27,2006 |
416 |
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| Distribution
of the MAP objects by thousand of numbered asteroids |
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| Groups
of numbers |
Total |
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| 1 to 999 |
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43 |
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| 1000
to 1999 |
|
91 |
included 3 Mars-crossers |
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| 2000
to 2999 |
|
38 |
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| 3000
to 3999 |
|
20 |
included 1 NEA and 3
Mars-crossers |
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| 4000
to 4999 |
|
37 |
included 1 NEA and 3
Mars-crossers |
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| 5000
to 5999 |
|
43 |
included 2 NEAs and 5
Mars-crossers |
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| 6000
to 6999 |
|
40 |
included 3 NEAs and 3
Mars-crossers |
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| 7000
to 7999 |
|
23 |
included 1 NEA and 2
Mars-crossers |
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| 8000
to 8999 |
|
4 |
included 1 NEA |
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| 9000
to 9999 |
|
6 |
included 1 NEA |
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| 10000
to 19999 |
|
28 |
included 3 NEAs |
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| 20000
to 29999 |
|
7 |
included 3 NEAs and 1
Mars-crossers |
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| 30000
to 39999 |
|
4 |
included 2 NEAs |
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| 40000
to 49999 |
|
5 |
included 3 Mars-crossers |
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| 50000
to 135000 |
|
7 |
included 4 NEAs and 3
Mars-crossers |
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| Unnumbered |
|
20 |
included 20 NEAs |
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| |
416 |
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| |
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| The
"bright" objects of the seven first thousands are more accessible
by the amateur observers of the MAP |
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| Beyond
the N°10000, NEA and Mars-crossers often are the objects which are possibily
visible by the amateurs |
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| Distribution
of the MAP Asteroids by official H magnitudes : |
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| |
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|
| absolute |
Total |
|
NEA |
Mars- |
Hungaria |
Cisjovian |
|
Jupiter- |
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|
| Magnitude |
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|
crosser |
|
|
belt |
|
trojans |
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| |
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| mag H = 8 |
9 |
|
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|
5 |
|
4 |
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| mag H = 9 |
15 |
|
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|
14 |
|
1 |
|
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|
| mag H = 10 |
53 |
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|
52 |
|
1 |
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|
| mag H = 11 |
111 |
|
|
1 |
|
1 |
109 |
|
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|
| mag H = 12 |
113 |
|
|
12 |
|
3 |
98 |
|
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|
| mag H = 13 |
64 |
|
1 |
7 |
|
4 |
51 |
|
1 |
|
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|
| mag H = 14 |
11 |
|
2 |
6 |
|
|
3 |
|
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| mag H = 15 |
6 |
|
5 |
1 |
|
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| mag H = 16 |
9 |
|
9 |
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| mag H = 17 |
5 |
|
5 |
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| mag H = 18 |
8 |
|
8 |
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| mag H = 19 |
3 |
|
3 |
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| mag H = 20 |
7 |
|
7 |
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| mag H = 21 |
2 |
|
2 |
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| |
|
416 |
|
42 |
27 |
|
8 |
332 |
|
7 |
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| %
on Total |
|
|
10% |
6% |
|
2% |
80% |
|
2% |
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| |
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| The
size of the smallest object of each group decreases with the increasing
distance to the Earth |
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| |
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| |
|
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|
|
| Averaged
difference of absolute H magnitude in the MAP, by tenth of magnitude : |
|
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| |
|
|
|
|
|
| Averaged.Diff. |
B/x,x |
F/x,x |
Total |
% |
cumul % |
|
Legend |
|
|
|
| V band |
Objects |
Objects |
Objects |
|
B/x,x = x,x mag brighter
than predicted |
|
|
| |
|
|
|
|
F/x,x = x,x mag fainter
than predicted |
|
|
| 0 |
mag |
5 |
5 |
10 |
2,43% |
2,43% |
|
Total = Total objects by averaged diff. |
|
|
| 0,1 |
mag |
15 |
15 |
30 |
7,28% |
9,71% |
|
% = % of the total of MAP objects |
|
|
| 0,2 |
mag |
23 |
25 |
48 |
11,65% |
21,36% |
|
|
|
|
|
|
| 0,3 |
mag |
17 |
46 |
63 |
15,29% |
36,65% |
|
|
|
|
|
|
| 0,4 |
mag |
14 |
41 |
55 |
13,35% |
50,00% |
|
|
|
|
| 0,5 |
mag |
7 |
62 |
69 |
16,75% |
66,75% |
|
|
|
|
| 0,6 |
mag |
4 |
36 |
40 |
9,71% |
76,46% |
|
|
|
|
| 0,7 |
mag |
1 |
33 |
34 |
8,25% |
84,71% |
|
|
|
|
| 0,8 |
mag |
3 |
17 |
20 |
4,85% |
89,56% |
|
|
|
|
| 0,9 |
mag |
4 |
15 |
19 |
4,61% |
94,17% |
|
|
|
|
| 1,0 |
mag |
|
4 |
4 |
0,97% |
95,15% |
|
|
|
|
| 1,1 |
mag |
|
4 |
4 |
0,97% |
96,12% |
|
|
|
|
| 1,2 |
mag |
|
3 |
3 |
0,73% |
96,84% |
|
|
|
|
| 1,3 |
mag |
|
4 |
4 |
0,97% |
97,82% |
|
|
|
|
| 1,4 |
mag |
|
3 |
3 |
0,73% |
98,54% |
|
|
|
|
| 1,5 |
mag |
|
1 |
1 |
0,24% |
98,79% |
|
|
|
|
| 1,6 |
mag |
|
4 |
4 |
0,97% |
99,76% |
|
|
|
|
| 1,7 |
mag |
|
|
0,00% |
99,76% |
|
|
|
|
| 1,8 |
mag |
|
|
0,00% |
99,76% |
|
|
|
|
| 1,9 |
mag |
|
|
0,00% |
99,76% |
|
|
|
|
| 2 |
mag |
|
|
0,00% |
99,76% |
|
|
|
|
| 2,6 |
mag |
|
1 |
1 |
0,24% |
100% |
|
|
|
|
| |
|
93 |
319 |
412 |
|
|
|
|
|
| Undefined |
|
|
4 |
|
|
|
|
|
| |
Grand Total |
416 |
|
|
|
|
|
| |
|
|
|
|
|
| |
|
|
|
|
|
| A
majority of MAP objects are fainter than predicted. |
|
|
|
|
|
| The
discrepancy of light is below 0.5 magnitude for 50% of the MAP objects. |
|
|
|
| Nevertheless,
5% of the MAP objects have a discrepancy of H magnitude H superior
or equal to 1.0 |
|
|
| magnitude
and more ! |
|
|
|
|
|
| |
|
|
|
|
|
| Actual
state of the MAP objects : |
|
|
|
|
|
| |
|
|
|
|
|
| Objects
put in the MAP because observed with at least 0,3 mag of
difference between predicted and |
|
|
| observed
magnitudes |
|
|
|
|
|
| |
|
|
|
|
|
| |
|
|
|
|
| Total
of oppositions followed for the MAP objects : |
|
|
|
|
| |
|
|
|
|
| |
29 |
MAP objects seen at 3 oppositions and more |
|
|
|
|
| |
74 |
MAP objects seen at 2 oppositions |
|
|
|
|
| |
313 |
MAP objects seen at 1 opposition |
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
| On
October 17,2006, are noted as without possible H magnitude discrepancy in the
MAP : |
|
|
|
| |
|
|
|
|
| |
53 |
objects with difference
< half-variability, following the accumulation of measures |
|
|
|
| |
6 |
unnumbered NEA, for
which the MPC rectified its H mag to a value similar to the MAP H mag |
|
|
| |
13 |
objects for which the
successive measures brought back the difference < 0,2 or even 0,1 mag |
|
|
| |
|
|
|
|
|
|
|
| |
72 |
MAP objects, then 17,3%
of the total |
|
|
|
|
| |
|
|
|
|
| Like
this, this is the indirect proof of the efficiency of the statistical
processing of the measures. |
|
|
|
| |
( minoration of the
impact of the natural variability of the asteroids and of the errors of
measures ) |
|
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| |
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| |
344 |
other MAP asteroids need
more measures ! |
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|
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| |
The
most urgent goals are the objects with a high discrepancy of magnitude and
those |
|
| |
|
observed at less than 3
oppositions |
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| |
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| |
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| The
29 MAP objects observed at least during 3 oppositions : |
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| |
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|
|
| |
Oppositions |
Mea- |
Obser- |
H MPC |
# MAP |
H MAP |
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|
|
|
| |
|
|
sures |
vers |
|
|
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|
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| |
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|
| (921)
Jovita |
|
6 |
30 |
5 |
10,6 |
-0,9 |
9,7 |
|
|
|
|
| (1444)
Pannonia |
|
5 |
457 |
8 |
9,1 |
2,6 |
11,7 |
|
|
|
|
| (9117)
Aude |
|
5 |
36 |
9 |
12,4 |
0,7 |
13,1 |
|
|
|
|
| (3904)
Honda |
|
4 |
42 |
8 |
11,3 |
0,7 |
12,0 |
|
|
|
|
| (4483)
Petofi (Hungaria) |
4 |
19 |
6 |
11,9 |
1,1 |
13,0 |
|
|
|
|
| (1166)
Sakuntala |
|
4 |
18 |
4 |
8,8 |
1,1 |
9,9 |
|
|
|
|
| (881)
Athene |
|
4 |
12 |
3 |
10,3 |
1,3 |
11,6 |
|
|
|
|
| (1353)
Maartje |
|
4 |
12 |
2 |
10,4 |
-0,4 |
10,0 |
new measures to do |
|
|
| (927)
Ratisbona |
|
3 |
194 |
8 |
9,54 |
-0,1 |
9,4 |
out of MAP; diff.H very
small |
|
|
| (1384)
Kniertje |
|
3 |
121 |
6 |
9,7 |
1,7 |
11,4 |
|
|
|
|
| (2829)
Bobhope |
|
3 |
75 |
2 |
10,3 |
-0,3 |
10,0 |
out of MAP; diff.H <
half-variab. |
|
| (552)
Sigelinde |
|
3 |
39 |
11 |
9,4 |
0,2 |
9,6 |
out of MAP; diff.H <
half-variab. |
|
| (775)
Lumiere |
|
3 |
33 |
2 |
10,4 |
-0,2 |
10,2 |
out of MAP; diff.H <
half-variab. |
|
| (5641)
Mc Cleese (Mars-cr) |
3 |
15 |
5 |
12,7 |
1,4 |
14,1 |
|
|
|
|
| (612)
Veronika |
|
3 |
15 |
3 |
11,2 |
-0,4 |
10,8 |
|
|
|
|
| (1178)
Irmela |
|
3 |
14 |
5 |
11,81 |
-0,1 |
11,7 |
out of MAP; diff.H <
half-variab. |
|
| (1388)
Aphrodite |
|
3 |
12 |
4 |
8,9 |
1,6 |
10,5 |
|
|
|
|
| (6354)
Vangelis |
|
3 |
12 |
3 |
11,8 |
0,5 |
12,3 |
|
|
|
|
| (4628)
Laplace |
|
3 |
10 |
4 |
11,0 |
0,3 |
11,3 |
|
|
|
|
| (1239)
Queteleta |
|
3 |
10 |
4 |
12,5 |
-0,6 |
11,9 |
|
|
|
|
| (453)
Tea |
|
3 |
10 |
2 |
10,6 |
-0,3 |
10,3 |
out of MAP; diff.H <
half-variab. |
|
| (1296)
Andree |
|
3 |
9 |
3 |
10,9 |
0,4 |
11,3 |
all measures of the same
value |
|
|
| (1656)
Suomi (Mars-cr) |
3 |
9 |
3 |
12,4 |
0,5 |
12,9 |
|
|
|
|
| (5518)
Mariobotta |
3 |
9 |
4 |
12,8 |
0,3 |
13,1 |
new measures to do |
|
|
| (4378)
Voigt |
|
3 |
9 |
3 |
11,7 |
0,1 |
11,8 |
out of MAP; diff.H very
small |
|
|
| (3401)
Vanphilos (Mars-cr) |
3 |
9 |
3 |
12,6 |
-0,3 |
12,3 |
new measures to do |
|
|
| (3455)
Kristensen |
3 |
5 |
4 |
12,7 |
0,8 |
13,5 |
|
|
|
|
| (1909)
Alekhin |
|
3 |
5 |
2 |
12,3 |
0,6 |
12,9 |
new measures to do |
|
|
| (3873)
Roddy (Mars-cr) |
3 |
3 |
3 |
12,0 |
1,1 |
13,1 |
new measures to do |
|
|
| |
|
|
|
|
|
|
| The
objects marked in orange are those for which the discrepancy decreades under
0.3 mag or about equal to the half-variability |
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| |
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|
A visual evidence of the
reality of high discrepancies of magnitude : (921) Jovita !! |
|
|
|
|
( 0,06 mag of highest
half-amplitude for the known lightcurve ) |
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|
| The
20 MAP Objects with the highest discrepancy of magnitude ( difference >
1,0 magnitude ) : |
|
|
|
|
|
|
|
|
|
| Number,
name and group |
Diff.H mag |
half- |
Oppo- |
mea- |
Obser- |
History of Magnitude H |
|
|
|
|
|
|
variability |
sitions |
sures |
vers |
88-91 |
92-97 |
98 and + |
|
|
|
(maximum) |
|
|
|
|
|
| (1444)
Pannonia |
|
2,6 |
F |
0.29 |
5 |
457 |
8 |
11.7 |
11.2 |
9.7 |
|
|
| (1388)
Aphrodite |
|
1,6 |
F |
0.25 |
3 |
12 |
4 |
12.23 |
11.7 |
11.7 |
|
|
| (6823)
1988 ED1 |
|
1,6 |
F? |
? |
2 |
5 |
3 |
- |
10.7 |
10.7 |
|
|
| (44227)
1998 QP14 |
1,6 |
F? |
? |
1 |
10 |
1 |
- |
- |
17.3 |
|
|
| (6911)
Nancygreen (Hungaria) |
1,6 |
F |
0.26 |
2 |
4 |
3 |
- |
- |
13.0 |
|
|
| (1384)
Kniertje |
|
1,5 |
F |
0.26 |
3 |
121 |
6 |
11.29 |
11.25 |
11.25 |
|
|
| (5641)
Mc Cleese (Mars-cr) |
1,4 |
F |
0.06 |
3 |
15 |
5 |
- |
12.0 |
12.6 |
|
|
| (4440)
Tchantches (Hungaria) |
1,4 |
F |
0.16 |
2 |
141 |
5 |
13.20 |
12.8 |
12.9 |
|
|
| (5749)
1991 FV |
|
1,4 |
F |
? |
2 |
4 |
3 |
- |
12.5 |
12.1 |
|
|
| (881)
Athene |
|
1,3 |
F |
0.27 |
4 |
12 |
3 |
10.27 |
10.29 |
10.29 |
|
|
| (5738)
Billpickering (Mars-cr) |
1,3 |
F? |
0.23 |
1 |
7 |
4 |
- |
11.1 |
11.3 |
|
|
| (5785)
Fulton |
|
1,3 |
F? |
? |
1 |
9 |
4 |
- |
12.8 |
12.7 |
|
|
| (8021)
Walter |
|
1,3 |
F? |
0.04 |
1 |
36 |
3 |
- |
- |
12.5 |
|
|
| (4860)
Gubbio |
|
1,2 |
F? |
0.43 |
1 |
4 |
2 |
- |
12.0 |
12.0 |
|
|
| (10772)
1990 YM |
|
1,2 |
F? |
0.65 |
1 |
4 |
1 |
- |
- |
11.4 |
|
|
| (1166)
Sakuntala |
|
1,2 |
F |
0.20 |
4 |
18 |
4 |
14.2 |
13.0 |
13.0 |
|
|
| (3873)
Roddy (Mars-cr.) |
1,1 |
F |
0.05 |
3 |
3 |
3 |
11.8 |
11.7 |
11.8 |
|
|
| (5026)
Martes |
|
1,1 |
F? |
? |
1? |
3 |
2 |
- |
11.6 |
11.6 |
|
|
| (4483)
Petofi (Hungaria) |
1,1 |
F |
0.49 |
4 |
19 |
6 |
- |
10.8 |
11.7 |
|
|
| (7663)
1994 RX1 |
|
1,1 |
F? |
0.20 |
1 |
91 |
3 |
- |
- |
12.7 |
|
|
| |
|
|
|
|
|
|
|
| In
the table, one can see that the known half-variabilities
are nearly all small with regard to the highest |
|
|
|
| differences
of H magnitudes. These discrepancies of magnitude
certainly are mainly due to wrong H magnitudes. |
|
| |
|
|
|
| The
asteroids only observed at one opposition may be would be have a modification
of their discrepancy of H |
|
|
| magnitude. |
|
|
|
| |
|
|
|
|
| THE
BEST RESULTS OF THE MAP |
|
|
|
|
|
|
|
|
|
|
|
|
estimated DIAMETER |
|
|
|
Oppositions |
Mea- |
Obser- |
H MPC |
# MAP |
H MAP |
MPC |
MAP |
|
|
|
|
|
sures |
vers |
|
|
|
in Km |
in Km |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| (921)
Jovita |
|
6 |
30 |
5 |
10,6 |
-0,9 |
9,7 |
33,4 |
50 |
|
|
|
| (1444)
Pannonia |
|
5 |
457 |
8 |
9,1 |
2,6 |
11,7 |
65 |
19,9 |
|
|
|
| (9117)
Aude |
|
5 |
36 |
9 |
12,4 |
0,7 |
13,1 |
14,3 |
10,4 |
|
|
|
| (3904)
Honda |
|
4 |
42 |
8 |
11,3 |
0,7 |
12,0 |
23,7 |
17,5 |
|
|
|
| (4483)
Petofi (Hungaria) |
4 |
19 |
6 |
11,9 |
1,1 |
13,0 |
18,3 |
11 |
|
|
|
| (1166)
Sakuntala |
|
4 |
18 |
4 |
8,8 |
1,1 |
9,9 |
74,5 |
45 |
|
|
|
| (881)
Athene |
|
4 |
12 |
3 |
10,3 |
1,3 |
11,6 |
38 |
20,7 |
|
|
|
| (1384)
Kniertje |
|
3 |
121 |
6 |
9,7 |
1,7 |
11,4 |
50 |
22,6 |
|
|
|
| (5641)
Mc Cleese (Mars-cr.) |
3 |
15 |
5 |
12,7 |
1,4 |
14,1 |
12,5 |
6,2 |
|
|
|
| (612)
Veronika |
|
3 |
15 |
3 |
11,2 |
-0,4 |
10,8 |
24,8 |
30,2 |
|
|
|
| (1388)
Aphrodite |
|
3 |
12 |
4 |
8,9 |
1,6 |
10,5 |
71 |
35 |
|
|
|
| (6354)
Vangelis |
|
3 |
12 |
3 |
11,8 |
0,5 |
12,3 |
19,1 |
15,1 |
|
|
|
| (4628)
Laplace |
|
3 |
10 |
4 |
11,0 |
0,3 |
11,3 |
27 |
23,7 |
|
|
|
| (1239)
Queteleta |
|
3 |
10 |
4 |
12,5 |
-0,6 |
11,9 |
13,5 |
18,3 |
|
|
|
| (1296)
Andree |
|
3 |
9 |
3 |
10,9 |
0,4 |
11,3 |
28,6 |
23,7 |
|
|
|
| (1656)
Suomi (Mars-cros.) |
3 |
9 |
3 |
12,4 |
0,5 |
12,9 |
14,3 |
11,5 |
|
|
|
| (3455)
Kristensen |
3 |
5 |
4 |
12,7 |
0,8 |
13,5 |
12,5 |
8,5 |
|
|
|
|
|
|
|
|
| In
this list, 4 objects with an
estimated size divided by 2 and 1 object increasing its size
by 50 % !! |
|
|
| A
good result acquired by some amateurs !! |
|
|
|
| All
these asteroids were been observed at 3 oppositions and more and all have a
half-variability smaller than |
|
|
| the
H discrepancy. |
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| |
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| |
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| |
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|
|
| ANALYSES OF THE MAP RESULTS |
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| |
|
|
| analysis
N°1 : Comparative analysis between the most used observational means from
1997 to 2006 |
|
|
| |
|
|
|
|
|
|
| Types of measures |
|
|
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|
|
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|
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| |
|
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|
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|
|
|
|
|
| AMv |
|
Visual
observations with comparative measures of asteroids |
|
|
|
|
|
| TMx |
|
CCD
Observations made with photometric stars of Loneos,
Tycho, Hipparcos |
|
|
|
| UMx |
|
CCD
Observations made with USNO stars |
|
|
|
|
|
|
|
| GMx |
|
CCD
Observations made with stars GSC |
|
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| |
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|
| |
NB: |
Some visual measures
made with the USNO or the GSC catalogs are not taken in account |
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| |
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| |
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|
| Analysis |
|
|
|
|
|
|
|
|
|
|
| 1)
Computation of the averaged difference on H magnitude
for each type of measures and each asteroid |
|
|
| 2)
Difference by asteroid between the averaged differences
of CCD types of measures and the visual ones |
|
| taken as basis. |
|
|
|
|
|
|
|
|
|
|
| 3)
Global averaged difference of the 3 types of CCD
observations with regard to the visual one |
|
|
|
| 4)
Computation of the global averaged absolute value of
each type ( no sign +
or - ) with regard to the visual |
|
| type. |
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| |
|
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|
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|
|
| The
results of the phases 3 and 4 are summarized in the table below : |
|
|
|
|
|
|
| |
|
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|
| MAP
Objects taken in account : |
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| |
|
|
|
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|
|
|
|
|
|
|
| The
179 objects ( 2158 measures ) observed at once
visually and by one of the CDD types |
|
|
|
| |
|
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| |
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| |
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|
| Results |
|
|
|
|
|
|
AMv |
TMx |
UMx |
GMx |
|
|
| |
|
|
|
|
|
|
|
|
|
| Global
averaged difference of H mag for the 179 asteroids |
|
0,32 |
0,27 |
0,43 |
0,51 |
|
|
| Global
averaged difference with regard to AMv ( phase 3 ) |
|
|
0,01 |
0,14 |
0,17 |
|
|
| Global
averaged difference (absolute value) with regard to AMv ( ph.4 ) |
0,30 |
0,27 |
0,34 |
|
|
| Highest
individual difference found with regard to AMv |
|
mag |
0,82 |
1,95 |
1,53 |
|
|
| |
|
|
|
|
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|
|
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|
|
| Conclusions |
|
|
|
|
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|
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|
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|
| |
|
|
|
|
|
|
|
|
|
|
| The
small difference between the visual observations and those TMx show the acceptable quality of the |
|
|
| visual
measures |
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
| The
increasing global difference of the AMv and TMx measures toward the UMx and
the GMx measures |
|
|
| show
the increasing inaccuracy of the used stellar catalogs. |
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
| The
individual analysis of the averaged differences of the TMx show that the
errors of magnitude may be |
|
|
| sometimes
high (errors on CCD processing), up to 0,8 magnitude… |
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
| With
the experience, yet now, the visual observation is the quickest mean and the
less hazardous to |
|
|
| estimate a
magnitude in the V band, for an amateur. |
|
|
|
|
|
|
|
|
| Visually,
an inacurracy of +/-0,2 mag implicate 5 tenths of magnitude, fan already
rather large for a |
|
|
| trained
eye |
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| A
result at +/- 0,3 mag is rare for an experienced visual observer |
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| Analysis
N°2 : Some comparative results betwen the MAP, the Minor Planet Center and
Astdys |
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| The
website "Asteroids - Dynamic Site (AstTDys)" is specialized in the
in the development of proper orbital |
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| of
minor planets ( except orbits too chaotic ) |
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| The
revised H magnitudes of the numbered asteroids of the file "allnum_pro,htm" from Astdys are updated |
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| quarterly, thank's to the new astrometrical measures published by the MPC |
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| Only
Astdys and the MAP have lists of revised H magnitudes; It's not the case for
the MPC |
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| The
3 entities use the statistical effect to appreciate the averaged H magnitude and to reduce the |
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| inaccuracies
( measures and variability ). |
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H magnitudes from the MPC and Astdys are issued from approximate measures
joined to the |
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| astrometric
data from astrometrists. The measures without indication
of color band are assimilated to V |
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| measures. As numerous measures come from R band, some of them are
brighter than predicted if they |
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| are
assimilated to V |
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| In
the MAP, we try to take in account only the "sure" measures or eventually corrected by a standard |
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| deviation
( V-R = + 0.4 by example ) |
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| A)
Comparisons MPC - MAP : |
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| The
corrections of H magnitudes on the NEA by the MPC on the unnumbered asteroids converged on |
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same results than the MAP for 8 cases : |
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H MPC / observations |
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H MAP |
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H MPC after adjustment |
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number |
Group |
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| 1999
RH27 |
16,5 |
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16,9 |
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16,9 |
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16064 |
Amor 3 |
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| 1998
FX2 |
18,0 |
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18,3 |
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18,2 |
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20255 |
Amor 3 |
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| 1998
PG |
17,0 |
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17,4 |
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17,3 |
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31345 |
Amor 2 |
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WS |
12,1 |
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12,5 |
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12,5 |
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47035 |
Mars-crosser |
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| 1998
SS49 |
16,5 |
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15,8 |
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15,8 |
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85713 |
Apollo 2 |
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| 1998
QR15 |
18,5 |
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18,1 |
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18,1 |
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- |
Amor 3 |
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| 2000
DO1 |
20,3 |
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20,4 |
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20,4 |
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- |
Apollo 1 |
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| 2001
SG276 |
17,4 |
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17,8 |
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17,7 |
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- |
Amor 1 |
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| NB:
on 28 other objects for
which have been used MPC magnitudes for unnumbered objects during the MAP
observations : |
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13
obtained modifications of their MPC H magnitude
going towards the MAP H magnitude |
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15
had no modification of their MPC H or moving away from the H MAP |
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( NB : For the majority
of them briefly bright, the MAP obtained only few measures ) |
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| Then
there are 21 NEA which constitute 58,3% of the total of
41 MAP objects and for
which the MPC |
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| magnitudes
joined or approached the H magnitudes from the MAP |
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| B)
Comparisons of the MAP with the MPC and Astdys : |
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| Global
average of the differences between the H magnitudes |
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MAP-Astdys |
378 asteroids |
F/0,20 |
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MAP-MPC |
416 asteroids |
F/0,34 |
higher, because no update
by the MPC |
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| Probable
reason of the faintness of the MAP magnitudes : |
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| Lack
of color bande type for many R measures joined to the astrometric measures
received by the MPC, which after didn't revise |
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| the
H magnitudes of the objects numbered since 1998 ! |
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| The
difference with Astdys is fainter, because Astdys periodically rectify the H
magnitudes of the MPC |
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| analysis
N°3 : Some comparative results between the MAP and the professional or
efficient observers |
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| During
the last 10 years, few H magnitudes of MAP objects processed independently by
the specialists in |
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| photometry. |
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| Some
results have been published in 2006, thank's to works on lightcurves : |
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Oppos. |
Measur. |
# MAP |
H MPC |
H MAP |
revis.H |
Observatory |
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| (4440)
Tchantches (Hungaria) |
2 |
141 |
1,4/F |
12,3 |
13,7 |
14,0 |
Simeis |
MPB
2006-2 |
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| (4860)
Gubbio |
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1 |
3 |
1,2/F |
11,8 |
13,3 |
13,3 |
Warner |
MAP Message 30/10 |
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| (5641)
Mc Cleese (Mars-crosser) |
3 |
15 |
1,4/F |
12,7 |
14,1 |
14,4 |
Ondrejov |
MPB 2006-1 |
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| Due
to the lack of accurate V-R indexes for these asteroids, the V-R indexes have been estimated to 0.4 |
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| magnitude
by the concerned observatories |
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| The
real V-R index may differ for the majority of the
cisjovian belt members of +/- 0,2 mag |
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| The
discrepancy of Gubbio seen at v mag 16.0-16.1 was visually detected in
October 2006 with a T20cm, |
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| then
confirmed with a CCD camera by Brian Warner (CALL) ! |
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| analysis
N°4 : Impact of the natural variability of the minor planets : |
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| Distribution
of 2658 maximum amplitudes of lightcurves on October 15,2006 |
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(photometric database
G.FAURE of October 15,2006) |
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| highest |
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total of |
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% on |
cumul. |
cumulative
% |
highest half-amplitude |
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| Amplitude |
asteroids |
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total |
Total |
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| Less
than 0.1 mag |
202 |
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8% |
202 |
8% |
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less than 0.05 mag |
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| 0.1x mag |
609 |
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23% |
811 |
31% |
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about 0.05 mag |
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| 0.2x mag |
571 |
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21% |
1382 |
52% |
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about 0.1 mag |
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| 0.3x mag |
423 |
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16% |
1805 |
68% |
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about 0.15 mag |
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| 0.4x mag |
286 |
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11% |
2091 |
79% |
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about 0.2 mag |
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| 0.5x mag |
177 |
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7% |
2268 |
85% |
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about 0.25 mag |
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| 0.6x mag |
118 |
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4% |
2386 |
90% |
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about 0.3 mag |
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| 0.7x mag |
62 |
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2% |
2448 |
92% |
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about 0.35 mag |
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| 0.8x mag |
61 |
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2% |
2509 |
94% |
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about 0.4 mag |
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