Orbit Fit and Astrometric record for 04MT8

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 04MT8     
# Created Sun Nov 24 02:08:35 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     19 observations of     19
# Arc:  20.02y
# First observation: 2004/06/24
#  Last observation: 2024/07/03
# Chi-squared of fit:    22.89 DOF:     32 RMS:  0.19
# Min/Max residuals:    -0.51    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.395494E-05  2.090033E-02  1.105709E-06 -7.728655E-04  2.277390E-02  2.615883E-04
# Covariance matrix:
  1.8776E-13 -3.5312E-14 -1.4366E-15  9.4553E-16 -9.6926E-14 -5.9339E-14
 -3.5312E-14  2.6171E-14  1.7132E-15 -9.6347E-16 -1.2143E-13  5.9573E-14
 -1.4366E-15  1.7132E-15  1.3528E-13 -9.1340E-15 -1.1779E-14  4.1666E-15
  9.4553E-16 -9.6347E-16 -9.1340E-15  1.3861E-15  5.3768E-15 -2.3231E-15
 -9.6926E-14 -1.2143E-13 -1.1779E-14  5.3768E-15  2.6370E-12 -3.2453E-13
 -5.9339E-14  5.9573E-14  4.1666E-15 -2.3231E-15 -3.2453E-13  1.4351E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.731073  -73.865623    0.223889   -0.012629   -0.993399  2453180.965493
# Heliocentric elements and errors
Epoch:              2453180.5000  =  2004/06/24
Mean Anomaly:          166.71244 +/-     1.302
Argument of Peri:       30.79927 +/-     1.340
Long of Asc Node:       87.22552 +/-     0.001
Inclination:             2.23781 +/-     0.000
Eccentricity:         0.04483691 +/-    0.0000
Semi-Major Axis:     43.01966544 +/-    0.0134
Time of Perihelion: 2405453.4630 +/-     373.5
Perihelion:          41.09079663 +/-    0.0128
Aphelion:            44.94853426 +/-    0.0140
Period (y)              282.1686 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.25877426 +/-    0.0009
Ecliptic Y          -43.19173339 +/-    0.0031
Ecliptic Z           -0.56017316 +/-    0.0000
Ecliptic XDOT         0.00241969 +/-    0.0000
Ecliptic YDOT         0.00066218 +/-    0.0000
Ecliptic ZDOT        -0.00009319 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.90118718 +/-    0.0030
Geocenter to KBO     43.90993959 +/-    0.0032
# Hcoef:  6.50

The following table shows the complete astrometric record for 04MT8. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (04MT8) followed by the observatory code and reference code for the source of the astrometry.

2004 06  24.46475  19 10 22.89   -23 11 24.8         04MT8     568  C~0VDq      
2004 06  25.46094  19 10 18.16   -23 11 32.7   23.3g 04MT8     568  C~0VDq      
2004 06  25.48385  19 10 18.05   -23 11 32.9   23.2g 04MT8     568  C~0VDq      
2004 06  25.50238  19 10 17.99   -23 11 33.5   23.3g 04MT8     568  C~0VDq      
2005 06  12.51114  19 16 28.80   -23 03 16.8         04MT8     568  C~0VDq      
2005 06  12.55080  19 16 28.65   -23 03 17.4   23.3R 04MT8     568  C~0VDq      
2005 06  13.49081  19 16 24.64   -23 03 25.2         04MT8     568  C~0VDq      
2006 07  03.44757  19 20 04.82   -22 59 30.0         04MT8     568  C~0VDq      
2006 07  03.46882  19 20 04.73   -22 59 30.4         04MT8     568  C~0VDq      
2006 07  03.48992  19 20 04.62   -22 59 30.6         04MT8     568  C~0VDq      
2007 05  16.40383  19 28 20.01   -22 44 49.8         04MT8     675  C~0VDq      
2007 05  16.43916  19 28 19.93   -22 44 50.0         04MT8     675  C~0VDq      
2015 06  12.36711  20 07 38.45   -21 25 18.5   21.8R 04MT8     695  C~1hTc      
2015 06  12.39269  20 07 38.35   -21 25 19.0         04MT8     695  C~1hTc      
2015 06  12.41872  20 07 38.26   -21 25 19.1         04MT8     695  C~1hTc      
2015 06  12.43624  20 07 38.19   -21 25 19.3         04MT8     695  C~1hTc      
2024 07  03.340140 20 51 11.352  -19 14 13.80  23.5G 04MT8     G37  C~88z4      
2024 07  03.380440 20 51 11.156  -19 14 14.66        04MT8     G37  C~88z4      
2024 07  03.417920 20 51 11.005  -19 14 15.57        04MT8     G37  C~88z4      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00     0.17       0.00    -0.32
     2   0.0027      0.00    -0.07       0.00     0.31
     3   0.0028      0.00    -0.06       0.00     0.30
     4   0.0028      0.00     0.38       0.00    -0.14
     5   0.9666      0.00    -0.51       0.00     0.05
     6   0.9667      0.00    -0.18       0.00    -0.21
     7   0.9693      0.00    -0.03       0.00     0.14
     8   2.0232      0.00    -0.10       0.00     0.21
     9   2.0233      0.00     0.11       0.00     0.01
    10   2.0233      0.00     0.00       0.00     0.02
    11   2.8910      0.00     0.14       0.00    -0.17
    12   2.8911      0.00     0.21       0.00    -0.14
    13  10.9648      0.00     0.12       0.00     0.00
    14  10.9649      0.00    -0.02       0.00    -0.19
    15  10.9650      0.00     0.02       0.00     0.02
    16  10.9650      0.00    -0.10       0.00     0.03
    17  20.0243      0.00     0.35       0.00     0.24
    18  20.0244      0.00    -0.18       0.00     0.07
    19  20.0245      0.00    -0.19       0.00    -0.20

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

04MT8    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.026    43.026    43.026
ecceobj         0.044     0.044     0.044
incobj          2.242     2.242     2.242
qmin           39.890    39.891    39.889
qmax           46.604    46.614    46.605
amean          43.160    43.160    43.160
amin           42.821    42.822    42.821
amax           43.511    43.511    43.511
emean           0.052     0.052     0.052
emin            0.033     0.033     0.033
emax            0.072     0.072     0.072
imean           0.950     0.950     0.951
imin            0.282     0.283     0.282
imax            1.549     1.550     1.549
excite_mean     0.055     0.055     0.055
fracstop        1.000     1.000     1.000
cjmean          3.088     3.088     3.088

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       176.6     176.7     176.6
kozaiamp        179.9     179.9     180.0