Orbit Fit and Astrometric record for 04MU8

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: 04MU8     
# Created Thu Apr 25 01:11:53 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     39 observations of     39
# Arc:  19.14y
# First observation: 2004/06/24
#  Last observation: 2023/08/14
# Chi-squared of fit:    19.04 DOF:     72 RMS:  0.12
# Min/Max residuals:    -0.39    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.269691E-05  1.843782E-02 -9.839716E-07 -1.152818E-03  2.119097E-02 -5.091064E-04
# Covariance matrix:
  1.0530E-13 -2.0502E-14 -1.3393E-15  1.0133E-15  1.3500E-14 -4.8807E-14
 -2.0502E-14  1.2157E-14  1.0146E-15 -7.7039E-16 -2.9476E-15  3.7040E-14
 -1.3393E-15  1.0146E-15  8.6057E-14 -5.9070E-15 -9.5799E-16  3.3804E-15
  1.0133E-15 -7.7039E-16 -5.9070E-15  7.3400E-16  6.6872E-16 -2.5578E-15
  1.3500E-14 -2.9476E-15 -9.5799E-16  6.6872E-16  1.5983E-13 -3.3576E-14
 -4.8807E-14  3.7040E-14  3.3804E-15 -2.5578E-15 -3.3576E-14  1.2319E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.012186  -69.711699    0.295174   -0.000160   -0.974680  2453180.971063
# Heliocentric elements and errors
Epoch:              2453180.5000  =  2004/06/24
Mean Anomaly:          204.21085 +/-     0.022
Argument of Peri:      339.50009 +/-     0.014
Long of Asc Node:      109.74319 +/-     0.000
Inclination:             3.58262 +/-     0.000
Eccentricity:         0.08200391 +/-    0.0001
Semi-Major Axis:     44.76885340 +/-    0.0030
Time of Perihelion: 2500528.0048 +/-       9.3
Perihelion:          41.09763228 +/-    0.0037
Aphelion:            48.44007452 +/-    0.0041
Period (y)              299.5520 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           16.42048386 +/-    0.0003
Ecliptic Y          -45.27693193 +/-    0.0008
Ecliptic Z           -0.01004618 +/-    0.0000
Ecliptic XDOT         0.00220917 +/-    0.0000
Ecliptic YDOT         0.00088074 +/-    0.0000
Ecliptic ZDOT        -0.00014881 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   48.16258831 +/-    0.0008
Geocenter to KBO     47.18994972 +/-    0.0009
# Hcoef:  5.92

The following table shows the complete astrometric record for 04MU8. 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 (04MU8) followed by the observatory code and reference code for the source of the astrometry.

2004 06  24.47032  19 27 47.48   -21 55 08.1         04MU8     568  C~0VDq      
2004 06  25.46658  19 27 43.21   -21 55 17.7   23.2g 04MU8     568  C~0VDq      
2004 06  25.48954  19 27 43.11   -21 55 17.9   23.1g 04MU8     568  C~0VDq      
2004 06  25.50807  19 27 43.03   -21 55 18.2   22.9g 04MU8     568  C~0VDq      
2004 07  22.44048  19 25 42.83   -21 59 44.2   23.1g 04MU8     568  C~0VDq      
2004 07  22.46878  19 25 42.70   -21 59 44.4   23.6g 04MU8     568  C~0VDq      
2004 07  22.49234  19 25 42.60   -21 59 44.6   23.5g 04MU8     568  C~0VDq      
2004 07  23.39346  19 25 38.62   -21 59 53.4         04MU8     568  C~0VDq      
2004 09  09.29657  19 22 53.13   -22 05 56.4         04MU8     568  C~0VDq      
2004 09  09.34366  19 22 53.04   -22 05 56.6   22.5i 04MU8     568  C~0VDq      
2005 06  12.49306  19 33 09.12   -21 47 27.0   22.5R 04MU8     568  C~0VDq      
2005 06  12.51881  19 33 09.02   -21 47 27.1   22.3R 04MU8     568  C~0VDq      
2005 06  12.54480  19 33 08.92   -21 47 27.3   22.5R 04MU8     568  C~0VDq      
2005 06  13.49826  19 33 05.30   -21 47 36.3         04MU8     568  C~0VDq      
2007 05  16.40857  19 43 32.06   -21 30 48.4         04MU8     675  C~0VDq      
2007 05  16.44170  19 43 31.98   -21 30 48.4   22.0r 04MU8     695  C~0VDq      
2007 05  16.44319  19 43 32.00   -21 30 48.5         04MU8     675  C~0VDq      
2007 05  17.45088  19 43 30.03   -21 30 54.3   22.0r 04MU8     695  C~0VDq      
2013 06  08.15701  20 09 38.30   -20 43 10.8   22.5R 04MU8     304  C~0snl      
2013 06  08.25556  20 09 38.01   -20 43 11.9         04MU8     304  C~0snl      
2013 06  09.16441  20 09 35.24   -20 43 21.5         04MU8     304  C~0snl      
2013 06  09.29161  20 09 34.84   -20 43 22.9         04MU8     304  C~0snl      
2013 06  09.36137  20 09 34.62   -20 43 23.6         04MU8     304  C~0snl      
2019 08  28.99414  20 31 19.32   -19 56 42.4   22.9V 04MU8     W84  C~3GKh      
2019 08  28.99781  20 31 19.31   -19 56 42.4         04MU8     W84  C~3GKh      
2019 08  29.00640  20 31 19.28   -19 56 42.4         04MU8     W84  C~3GKh      
2019 08  29.03390  20 31 19.17   -19 56 42.8         04MU8     W84  C~3GKh      
2019 08  29.03732  20 31 19.16   -19 56 42.9         04MU8     W84  C~3GKh      
2019 08  29.04590  20 31 19.13   -19 56 43.0         04MU8     W84  C~3GKh      
2019 08  29.07678  20 31 19.01   -19 56 43.4         04MU8     W84  C~3GKh      
2019 08  29.11310  20 31 18.87   -19 56 43.8         04MU8     W84  C~3GKh      
2019 08  29.11654  20 31 18.86   -19 56 43.9         04MU8     W84  C~3GKh      
2019 08  29.12514  20 31 18.83   -19 56 44.0         04MU8     W84  C~3GKh      
2019 08  29.15634  20 31 18.71   -19 56 44.4         04MU8     W84  C~3GKh      
2021 07  09.312590 20 43 55.725  -19 17 48.80  22.8G 04MU8     G37  C~4unz      
2021 07  09.359280 20 43 55.520  -19 17 49.47        04MU8     G37  C~4unz      
2023 08  14.214680 20 50 28.131  -19 00 48.48  22.6G 04MU8     G37  C~77jx      
2023 08  14.262930 20 50 27.930  -19 00 49.35        04MU8     G37  C~77jx      
2023 08  14.310620 20 50 27.716  -19 00 50.14        04MU8     G37  C~77jx      

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     0.23       0.00     0.06
     2   0.0027      0.00     0.27       0.00     0.05
     3   0.0028      0.00     0.27       0.00     0.08
     4   0.0028      0.00     0.29       0.00    -0.05
     5   0.0766      0.00    -0.02       0.00     0.06
     6   0.0767      0.00    -0.05       0.00     0.13
     7   0.0767      0.00     0.04       0.00     0.15
     8   0.0792      0.00     0.07       0.00     0.10
     9   0.2103      0.00    -0.39       0.00    -0.02
    10   0.2105      0.00    -0.27       0.00    -0.01
    11   0.9665      0.00    -0.14       0.00    -0.03
    12   0.9666      0.00    -0.15       0.00     0.11
    13   0.9667      0.00    -0.14       0.00     0.14
    14   0.9693      0.00    -0.09       0.00    -0.14
    15   2.8910      0.00     0.13       0.00    -0.22
    16   2.8911      0.00    -0.08       0.00    -0.04
    17   2.8911      0.00     0.25       0.00    -0.13
    18   2.8939      0.00    -0.04       0.00    -0.24
    19   8.9547      0.00    -0.27       0.00    -0.00
    20   8.9549      0.00    -0.07       0.00    -0.05
    21   8.9574      0.00    -0.02       0.00    -0.07
    22   8.9578      0.00    -0.01       0.00    -0.09
    23   8.9579      0.00     0.00       0.00    -0.05
    24  15.1773      0.00     0.00       0.00    -0.10
    25  15.1774      0.00     0.06       0.00    -0.05
    26  15.1774      0.00     0.10       0.00     0.07
    27  15.1775      0.00     0.01       0.00     0.03
    28  15.1775      0.00     0.05       0.00    -0.02
    29  15.1775      0.00     0.09       0.00    -0.01
    30  15.1776      0.00     0.04       0.00     0.00
    31  15.1777      0.00    -0.00       0.00     0.08
    32  15.1777      0.00     0.05       0.00     0.03
    33  15.1777      0.00     0.08       0.00     0.04
    34  15.1778      0.00     0.05       0.00     0.05
    35  17.0400      0.00    -0.01       0.00     0.03
    36  17.0401      0.00    -0.23       0.00     0.14
    37  19.1369      0.00    -0.10       0.00    -0.01
    38  19.1370      0.00     0.03       0.00    -0.04
    39  19.1371      0.00    -0.07       0.00    -0.00

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.

04MU8    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.830    44.830    44.830
ecceobj         0.083     0.083     0.083
incobj          3.580     3.580     3.580
qmin           40.245    40.244    40.240
qmax           49.978    49.972    49.981
amean          44.939    44.939    44.939
amin           44.570    44.575    44.568
amax           45.338    45.334    45.341
emean           0.087     0.087     0.087
emin            0.073     0.073     0.073
emax            0.102     0.102     0.102
imean           2.096     2.096     2.096
imin            1.526     1.526     1.526
imax            2.707     2.707     2.707
excite_mean     0.094     0.094     0.095
fracstop        1.000     1.000     1.000
cjmean          3.102     3.102     3.102

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       170.3     170.3     170.2
kozaiamp        179.9     179.9     179.9