Orbit Fit and Astrometric record for 04US10

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: 04US10    
# Created Wed Sep 26 00:57:42 2018
# Orbit generated from Bernstein formalism
# Fitting   48 observations of   51
# Arc:  11.22y
# First observation: 2004/10/17
#  Last observation: 2016/01/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.002990   0.043133  -0.000559   0.007756   0.037940   0.000000
# Chi-squared of fit:    31.82 DOF:   90 RMS:  0.14
# Min/Max residuals:    -0.43    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.889241E-05  4.056799E-02  2.177598E-06  7.291900E-03  3.320878E-02 -2.288507E-03
# Covariance matrix:
  2.2775E-13 -6.5654E-14  7.2267E-15 -8.3664E-15 -1.8293E-14 -9.9704E-14
 -6.5654E-14  6.1106E-14 -9.2361E-15  1.0736E-14  1.7689E-14  1.2816E-13
  7.2267E-15 -9.2361E-15  1.9307E-13 -2.1516E-14 -3.0031E-15 -2.0144E-14
 -8.3664E-15  1.0736E-14 -2.1516E-14  4.3525E-15  3.0779E-15  2.3445E-14
 -1.8293E-14  1.7689E-14 -3.0031E-15  3.0779E-15  5.9590E-14  3.4747E-14
 -9.9704E-14  1.2816E-13 -2.0144E-14  2.3445E-14  3.4747E-14  2.8000E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.391374    6.083544   -0.304478   -0.023018   -0.952323  2453295.553063
# Heliocentric elements and errors
Epoch:              2453290.5000  =  2004/10/12
Mean Anomaly:          350.46273 +/-     0.003
Argument of Peri:        7.49631 +/-     0.005
Long of Asc Node:       14.08560 +/-     0.000
Inclination:            10.30951 +/-     0.000
Eccentricity:         0.21592301 +/-    0.0000
Semi-Major Axis:     39.37490685 +/-    0.0015
Time of Perihelion: 2455681.3337 +/-       0.7
Perihelion:          30.87295839 +/-    0.0016
Aphelion:            47.87685532 +/-    0.0021
Period (y)              247.0800 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.84480044 +/-    0.0002
Ecliptic Y            3.59546863 +/-    0.0000
Ecliptic Z           -0.73113304 +/-    0.0000
Ecliptic XDOT        -0.00052889 +/-    0.0000
Ecliptic YDOT         0.00330016 +/-    0.0000
Ecliptic ZDOT         0.00060567 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.06225465 +/-    0.0002
Geocenter to KBO     30.11252129 +/-    0.0002
# Hcoef:  9.15

The following table shows the complete astrometric record for 04US10. 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 (04US10) followed by the observatory code and reference code for the source of the astrometry.

2004 10  17.05232  00 24 32.58   +01 08 17.8         04US10    304  Cn7976      
2004 10  17.09064  00 24 32.36   +01 08 16.5         04US10    304  Cn7976      
2004 10  17.12888  00 24 32.15   +01 08 15.3         04US10    304  Cn7976      
2004 12  12.30446  00 21 17.00   +00 53 21.9   24.1R 04US10    568  Cn7976      
2004 12  13.33971  00 21 16.41   +00 53 24.8   24.0R 04US10    568  Cn7976      
2004 12  14.30817  00 21 16.03   +00 53 29.4   24.0R 04US10    568  Cn7976      
2005 11  03.07160  00 30 56.81   +02 18 30.0   24. R 04US10    304  Cp0717      
2005 11  03.11128  00 30 56.62   +02 18 28.9         04US10    304  Cp0717      
2005 11  04.03096  00 30 52.19   +02 18 06.0         04US10    304  Cp0717      
2007 07  12.31774  00 54 29.59   +05 34 50.3         04US10    304  Cv1994      
2007 07  12.40557  00 54 29.66   +05 34 51.3         04US10    304  Cv1994      
2013 08  09.51144  01 42 28.051  +13 04 10.50  23.9r 04US10    568  C~2WXG      
2013 08  09.55415  01 42 27.981  +13 04 10.80  24.1r 04US10    568  C~2WXG      
2013 09  02.47226  01 41 28.613  +13 02 01.90  23.8r 04US10    568  C~2WXG      
2013 09  03.44820  01 41 24.923  +13 01 48.83  23.9r 04US10    568  C~2WXG      
2013 09  03.49483  01 41 24.738  +13 01 48.14  23.6r 04US10    568  C~2WXG      
2013 10  08.50929  01 38 24.366  +12 48 47.73  23.9r 04US10    568  C~2WXG      
2013 10  30.50202  01 36 08.981  +12 37 33.36  23.8r 04US10    568  C~2WXG      
2013 11  01.50542  01 35 56.869  +12 36 31.12  23.9r 04US10    568  C~2WXG      
2013 11  28.29208  01 33 35.100  +12 23 50.64  23.5r 04US10    568  C~2WXG      
2013 11  29.24926  01 33 30.997  +12 23 27.71  23.8r 04US10    568  C~2WXG      
2013 12  04.39820  01 33 10.367  +12 21 31.93  23.7r 04US10    568  C~2WXG      
2013 12  30.34280  01 32 10.496  +12 15 39.25  23.7r 04US10    568  C~2WXG      
2014 01  02.23377  01 32 08.873  +12 15 27.29  24.2r 04US10    568  C~2WXG      
2014 01  02.28087  01 32 08.857  +12 15 27.13  24.1r 04US10    568  C~2WXG      
2014 01  02.36222  01 32 08.805  +12 15 26.61  24.4r 04US10    568  C~2WXG      
2014 01  03.24172  01 32 08.555  +12 15 24.48  23.9r 04US10    568  C~2WXG      
2014 08  24.47811  01 50 17.535  +14 15 47.64  23.9r 04US10    568  C~2WXG      
2014 08  24.54804  01 50 17.347  +14 15 47.29  24.2r 04US10    568  C~2WXG      
2014 08  30.45339  01 50 00.195  +14 15 06.95  24.0r 04US10    568  C~2WXG      
2014 08  30.55998  01 49 59.831  +14 15 06.09  24.3r 04US10    568  C~2WXG      
2014 09  18.47852  01 48 41.711  +14 10 35.21  24.0r 04US10    568  C~2WXG      
2014 09  18.52126  01 48 41.497  +14 10 34.40  24.1r 04US10    568  C~2WXG      
2014 09  23.51956  01 48 15.880  +14 08 50.65  24.0r 04US10    568  C~2WXG      
2014 10  22.29484  01 45 25.179  +13 55 53.53  23.7r 04US10    568  C~2WXG      
2014 10  22.33958  01 45 24.883  +13 55 52.38  23.7r 04US10    568  C~2WXG      
2014 10  22.38432  01 45 24.598  +13 55 50.98  24.4r 04US10    568  C~2WXG      
2014 10  23.48145  01 45 17.734  +13 55 17.47  23.5r 04US10    568  C~2WXG      
2014 10  25.49739  01 45 05.132  +13 54 15.58  23.9r 04US10    568  C~2WXG      
2014 11  20.22868  01 42 34.643  +13 41 20.39  24.2r 04US10    568  C~2WXG      
2014 11  20.36911  01 42 33.894  +13 41 16.48  23.9r 04US10    568  C~2WXG      
2014 11  21.26474  01 42 29.279  +13 40 51.70  23.7r 04US10    568  C~2WXG      
2014 11  21.27445  01 42 29.225  +13 40 51.29  23.8r 04US10    568  C~2WXG      
2014 11  21.42970  01 42 28.412  +13 40 47.16  23.7r 04US10    568  C~2WXG      
2015 01  28.27933  01 40 44.587  +13 29 49.51  24.0r 04US10    568  C~2WXG      
2015 02  19.25614  01 42 11.353  +13 37 24.24  23.9r 04US10    568  C~2WXG      
2015 11  08.13766  01 52 10.01   +15 00 10.4   24.0R 04US10    G37  C~1dcI      
2015 11  08.20931  01 52 09.55   +15 00 07.8         04US10    G37  C~1dcI      
2015 12  07.40784  01 49 39.114  +14 46 47.06  24.0w 04US10    568  C~2WXG      
2015 12  31.32052  01 48 35.317  +14 40 14.95  24.1w 04US10    568  C~2WXG      
2016 01  07.29206  01 48 29.702  +14 39 26.12  24.3w 04US10    568  C~2WXG      

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     0.09       0.00     0.27
  2   0.0001     -3.54     0.01       0.11     0.16
  3   0.0002     -6.91     0.10       0.26     0.09
  4   0.1540  -3048.55 (   0.79)    338.05 (   0.40)
  5   0.1568  -3055.53    -0.34     344.22    -0.27
  6   0.1595  -3058.94    -0.30     350.70    -0.16
  7   1.0459   6959.35     0.21    1592.74     0.26
  8   1.0460   6956.30     0.24    1592.86     0.14
  9   1.0485   6886.18 (  -0.51)   1598.03 (   0.51)
 10   2.7331  31262.11    -0.17    4169.77    -0.20
 11   2.7333  31263.49     0.19    4170.29    -0.05
 12   8.8117  85082.47     0.10   13943.64    -0.43
 13   8.8118  85081.48    -0.10   13944.33    -0.15
 14   8.8773  84081.80    -0.08   14136.73     0.05
 15   8.8799  84017.60    -0.03   14143.55    -0.09
 16   8.8801  84014.37    -0.08   14143.85    -0.15
 17   8.9759  80831.63    -0.09   14336.92    -0.04
 18   9.0361  78425.34     0.36   14397.47    -0.21
 19   9.0416  78210.10     0.04   14401.20     0.20
 20   9.1150  75687.16     0.13   14415.89     0.02
 21   9.1176  75614.03     0.07   14415.48    -0.06
 22   9.1317  75246.33    -0.05   14413.01    -0.27
 23   9.2027  74174.32    -0.15   14389.88    -0.03
 24   9.2106  74144.29    -0.01   14386.87    -0.05
 25   9.2108  74143.97     0.09   14386.80    -0.10
 26   9.2110  74142.95    -0.24   14386.56    -0.28
 27   9.2134  74138.20     0.03   14385.81    -0.11
 28   9.8520  94548.13    -0.03   15839.84     0.02
 29   9.8521  94544.89    -0.04   15840.48    -0.00
 30   9.8683  94245.41     0.08   15890.13    -0.13
 31   9.8686  94239.06    -0.04   15891.18    -0.03
 32   9.9204  92840.95     0.02   16027.17    -0.01
 33   9.9205  92837.10     0.07   16027.48     0.01
 34   9.9342  92373.59    -0.02   16056.84    -0.00
 35  10.0130  89265.99     0.06   16168.16    -0.11
 36  10.0131  89260.72    -0.04   16168.56     0.16
 37  10.0132  89255.51    -0.06   16168.65     0.12
 38  10.0162  89130.24     0.08   16170.97     0.05
 39  10.0218  88900.22    -0.06   16174.88     0.04
 40  10.0922  86150.92     0.03   16188.27    -0.06
 41  10.0926  86137.27    -0.02   16188.31    -0.04
 42  10.0950  86052.91     0.00   16187.80     0.11
 43  10.0951  86051.87    -0.11   16187.67    -0.02
 44  10.0955  86037.11    -0.03   16187.82     0.16
 45  10.2813  84101.89     0.03   16076.06     0.12
 46  10.3414  85677.31     0.13   16072.01     0.24
 47  11.0584  97581.04 (   0.34)  18033.30 (   0.61)
 48  11.0586  97572.26    -0.22   18032.98     0.27
 49  11.1386  94735.95     0.02   17986.64     0.20
 50  11.2040  93518.17     0.13   17914.73     0.10
 51  11.2231  93404.92     0.01   17893.55     0.21

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.

04US10    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.913    39.913    39.913
ecceobj         0.226     0.226     0.226
incobj         10.265    10.265    10.265
qmin           30.491    30.492    30.490
qmax           49.046    48.959    48.978
amean          39.456    39.456    39.456
amin           38.975    38.977    38.976
amax           40.011    40.015    39.995
emean           0.206     0.206     0.206
emin            0.183     0.183     0.182
emax            0.228     0.227     0.227
imean          10.673    10.673    10.671
imin           10.079    10.080    10.077
imax           11.604    11.603    11.603
excite_mean     0.277     0.277     0.277
fracstop        1.000     1.000     1.000
cjmean          2.964     2.964     2.964

libcent 0       180.7     179.8     179.3
libamp  0       102.9     102.9     102.2
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       193.9     193.9     194.2
kozaiamp        179.9     179.9     179.9