Orbit Fit and Astrometric record for 11UM412

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: 11UM412   
# Created Sat Oct 21 01:37:58 2017
# Orbit generated from Bernstein formalism
# Fitting   27 observations of   27
# Arc:   1.43y
# First observation: 2011/08/30
#  Last observation: 2013/02/03
Preliminary a, adot, b, bdot, g, gdot:
  -0.000284   0.025879  -0.000002  -0.004619   0.024969   0.000000
# Chi-squared of fit:    13.73 DOF:   48 RMS:  0.13
# Min/Max residuals:    -0.25    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.617281E-05  2.569628E-02 -2.664480E-06 -4.647477E-03  2.513147E-02  2.423153E-03
# Covariance matrix:
  5.9008E-13  2.9599E-13  1.9623E-14 -2.0815E-13  7.6160E-13  3.4813E-11
  2.9599E-13  7.2584E-13  2.6296E-14 -2.4265E-13  7.1209E-13  3.9979E-11
  1.9623E-14  2.6296E-14  1.1127E-13 -1.3440E-13  3.5721E-14  2.2915E-12
 -2.0815E-13 -2.4265E-13 -1.3440E-13  3.8737E-13 -3.6089E-13 -2.0910E-11
  7.6160E-13  7.1209E-13  3.5721E-14 -3.6089E-13  1.2332E-12  6.0059E-11
  3.4813E-11  3.9979E-11  2.2915E-12 -2.0910E-11  6.0059E-11  3.4407E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.524904   34.197703    0.849827    0.033152   -0.538543  2455804.109986
# Heliocentric elements and errors
Epoch:              2455800.5000  =  2011/08/27
Mean Anomaly:           27.13585 +/-     0.589
Argument of Peri:      125.35593 +/-     0.834
Long of Asc Node:      231.72869 +/-     0.002
Inclination:            10.70726 +/-     0.001
Eccentricity:         0.13752853 +/-    0.0015
Semi-Major Axis:     45.71795166 +/-    0.0187
Time of Perihelion: 2447289.7175 +/-     184.7
Perihelion:          39.43042894 +/-    0.0691
Aphelion:            52.00547439 +/-    0.0705
Period (y)              309.1280 +/-      0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.77604583 +/-    0.0015
Ecliptic Y           21.92369554 +/-    0.0010
Ecliptic Z            2.44633787 +/-    0.0001
Ecliptic XDOT        -0.00133288 +/-    0.0000
Ecliptic YDOT         0.00248636 +/-    0.0000
Ecliptic ZDOT        -0.00048905 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.34171869 +/-    0.0013
Geocenter to KBO     39.79074111 +/-    0.0018
# Hcoef:  8.57

The following table shows the complete astrometric record for 11UM412. 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 (11UM412) followed by the observatory code and reference code for the source of the astrometry.

2011 08  30.60922  02 02 48.866  +16 14 01.51  24.6r 11UM412   568  C~1C6Q      
2011 09  05.61026  02 02 33.829  +16 12 53.64  24.4r 11UM412   568  C~1C6Q      
2011 10  25.35943  01 59 08.235  +15 54 30.73        11UM412   568  C~1C6Q      
2011 10  25.41388  01 59 07.959  +15 54 29.07  24.8r 11UM412   568  C~1C6Q      
2011 10  26.31804  01 59 03.553  +15 54 03.34  24.2r 11UM412   568  C~1C6Q      
2011 10  26.36119  01 59 03.334  +15 54 01.97  24.3r 11UM412   568  C~1C6Q      
2011 10  26.41881  01 59 03.042  +15 54 00.15        11UM412   568  C~1C6Q      
2011 10  31.26858  01 58 39.464  +15 51 39.66  24.4r 11UM412   568  C~1C6Q      
2011 10  31.30918  01 58 39.254  +15 51 38.34        11UM412   568  C~1C6Q      
2011 10  31.35747  01 58 39.019  +15 51 37.14        11UM412   568  C~1C6Q      
2011 10  31.37121  01 58 38.948  +15 51 36.61        11UM412   568  C~1C6Q      
2011 10  31.40998  01 58 38.767  +15 51 35.49  24.5r 11UM412   568  C~1C6Q      
2011 10  31.42747  01 58 38.670  +15 51 35.14        11UM412   568  C~1C6Q      
2011 10  31.47823  01 58 38.416  +15 51 33.69  24.2r 11UM412   568  C~1C6Q      
2011 10  31.48330  01 58 38.394  +15 51 33.29        11UM412   568  C~1C6Q      
2011 11  24.30982  01 56 50.313  +15 40 07.20        11UM412   568  C~1C6Q      
2011 12  01.32447  01 56 23.218  +15 37 00.29  24.3r 11UM412   568  C~1C6Q      
2012 01  26.31723  01 55 11.900  +15 23 22.87  24.5r 11UM412   568  C~1C6Q      
2012 01  27.25145  01 55 13.278  +15 23 22.32        11UM412   568  C~1C6Q      
2012 08  22.44933  02 09 11.271  +16 29 54.81  24.3r 11UM412   568  C~1C6Q      
2012 08  24.56060  02 09 07.914  +16 29 41.74  24.8r 11UM412   568  C~1C6Q      
2012 08  24.57765  02 09 07.885  +16 29 41.65  24.5r 11UM412   568  C~1C6Q      
2012 10  21.33175  02 05 36.866  +16 11 36.37  24.1r 11UM412   568  C~1C6Q      
2012 10  21.35746  02 05 36.737  +16 11 35.95  24.7r 11UM412   568  C~1C6Q      
2012 10  21.38354  02 05 36.605  +16 11 34.95  24.4r 11UM412   568  C~1C6Q      
2013 01  14.34100  02 01 06.108  +15 39 47.93  24.9r 11UM412   568  C~1C6Q      
2013 02  03.25659  02 01 28.714  +15 39 11.08  24.7r 11UM412   568  C~1C6Q      

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    -0.00       0.00    -0.05
  2   0.0164   -226.72     0.07      10.49    -0.16
  3   0.1526  -3389.09     0.13      -2.63     0.03
  4   0.1528  -3393.40     0.02      -2.80    -0.04
  5   0.1553  -3461.96     0.07      -4.89     0.20
  6   0.1554  -3465.40    -0.05      -5.08     0.10
  7   0.1555  -3469.98    -0.18      -5.32    -0.03
  8   0.1688  -3837.89     0.06     -18.99    -0.03
  9   0.1689  -3841.19    -0.14     -19.17    -0.11
 10   0.1691  -3844.79    -0.02     -19.12     0.06
 11   0.1691  -3845.93    -0.11     -19.26    -0.04
 12   0.1692  -3848.77     0.03     -19.41    -0.09
 13   0.1692  -3850.20    -0.06     -19.25     0.12
 14   0.1694  -3854.15    -0.09     -19.33     0.17
 15   0.1694  -3854.58    -0.14     -19.60    -0.08
 16   0.2346  -5556.99     0.09    -119.16    -0.15
 17   0.2538  -5989.35    -0.02    -157.46     0.28
 18   0.4071  -7242.63     0.24    -561.92     0.09
 19   0.4097  -7224.14     0.15    -569.44    -0.12
 20   0.9797   5502.26     0.25    -969.07    -0.06
 21   0.9855   5452.36     0.10    -965.19    -0.13
 22   0.9855   5451.94     0.12    -965.14    -0.11
 23   1.1437   2225.29    -0.19    -961.77    -0.13
 24   1.1437   2223.39    -0.12    -961.54     0.15
 25   1.1438   2221.27    -0.25    -961.83    -0.10
 26   1.3764  -2097.57    -0.13   -1419.32     0.12
 27   1.4309  -1803.70     0.18   -1566.36     0.12

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.

11UM412    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.824    45.887    45.766
ecceobj         0.140     0.144     0.136
incobj         10.701    10.701    10.701
qmin           38.660    38.654    38.800
qmax           52.588    52.758    52.309
amean          45.447    45.492    45.389
amin           45.071    45.107    45.008
amax           45.851    45.921    45.804
emean           0.133     0.137     0.129
emin            0.119     0.124     0.116
emax            0.148     0.149     0.143
imean          12.120    12.028    12.107
imin           11.592    11.554    11.594
imax           12.570    12.445    12.547
excite_mean     0.248     0.249     0.246
fracstop        1.000     1.000     1.000
cjmean          3.043     3.043     3.044

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       185.5     180.8     184.8
kozaiamp        180.0     180.0     180.0