Orbit Fit and Astrometric record for 12UL177

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: 12UL177   
# Created Fri Dec 15 02:37:48 2017
# Orbit generated from Bernstein formalism
# Fitting   32 observations of   32
# Arc:   6.06y
# First observation: 2011/09/01
#  Last observation: 2017/09/23
Preliminary a, adot, b, bdot, g, gdot:
  -0.000411   0.030804   0.000145  -0.004954   0.028023   0.000000
# Chi-squared of fit:     9.06 DOF:   58 RMS:  0.09
# Min/Max residuals:    -0.17    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.687788E-05  3.005935E-02 -2.986755E-06 -4.867451E-03  2.786622E-02 -1.036663E-03
# Covariance matrix:
  1.9800E-13 -1.2055E-13 -7.1967E-15  1.4123E-14  5.0644E-14 -4.9633E-13
 -1.2055E-13  2.3462E-13  2.2519E-14 -3.4166E-14  8.2062E-14  1.1908E-12
 -7.1967E-15  2.2519E-14  8.3033E-14 -3.2387E-14  1.1679E-14  1.2794E-13
  1.4123E-14 -3.4166E-14 -3.2387E-14  2.9336E-14 -1.4146E-14 -1.9319E-13
  5.0644E-14  8.2062E-14  1.1679E-14 -1.4146E-14  1.2830E-13  4.8846E-13
 -4.9633E-13  1.1908E-12  1.2794E-13 -1.9319E-13  4.8846E-13  6.7320E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   17.450155   31.248081    0.802262    0.182069   -0.579330  2455805.928406
# Heliocentric elements and errors
Epoch:              2455800.5000  =  2011/08/27
Mean Anomaly:          336.58177 +/-     0.032
Argument of Peri:      146.21288 +/-     0.043
Long of Asc Node:      272.21994 +/-     0.001
Inclination:            19.22564 +/-     0.000
Eccentricity:         0.12206269 +/-    0.0000
Semi-Major Axis:     40.95026776 +/-    0.0022
Time of Perihelion: 2462026.8718 +/-       8.6
Perihelion:          35.95176807 +/-    0.0028
Aphelion:            45.94876744 +/-    0.0032
Period (y)              262.0555 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.20658215 +/-    0.0004
Ecliptic Y           17.38920916 +/-    0.0002
Ecliptic Z           10.76120100 +/-    0.0001
Ecliptic XDOT        -0.00149566 +/-    0.0000
Ecliptic YDOT         0.00255426 +/-    0.0000
Ecliptic ZDOT        -0.00048670 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.47774181 +/-    0.0003
Geocenter to KBO     35.88574804 +/-    0.0005
# Hcoef:  7.48

The following table shows the complete astrometric record for 12UL177. 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 (12UL177) followed by the observatory code and reference code for the source of the astrometry.

2011 09  01.42764  01 29 15.697  +28 09 46.26  23.1r 12UL177   568  C~1C6U      
2011 09  01.47295  01 29 15.533  +28 09 46.35  23.0r 12UL177   568  C~1C6U      
2011 09  01.51559  01 29 15.372  +28 09 46.42  22.9r 12UL177   568  C~1C6U      
2011 09  05.45551  01 29 00.414  +28 09 48.16  23.0r 12UL177   568  C~1C6U      
2011 11  24.31930  01 22 07.762  +27 32 49.37  22.9r 12UL177   568  C~1C6U      
2011 11  24.33787  01 22 07.683  +27 32 48.51  23.0r 12UL177   568  C~1C6U      
2011 11  26.43627  01 21 59.174  +27 31 16.31  22.9r 12UL177   568  C~1C6U      
2011 11  29.32442  01 21 48.110  +27 29 09.51        12UL177   568  C~1C6U      
2011 12  01.34208  01 21 40.817  +27 27 41.15  23.0r 12UL177   568  C~1C6U      
2012 01  28.29635  01 21 20.336  +26 55 23.43  22.8r 12UL177   568  C~1C6U      
2012 08  18.49620  01 37 38.101  +28 31 39.35  23.1r 12UL177   568  C~1C6U      
2012 08  23.58688  01 37 25.665  +28 32 38.30  23.0r 12UL177   568  C~1C6U      
2012 08  28.46326  01 37 11.368  +28 33 16.00  23.0r 12UL177   568  C~1C6U      
2012 09  12.39393  01 36 14.368  +28 33 16.54  23.0r 12UL177   568  C~1C6U      
2012 09  14.43012  01 36 05.202  +28 33 03.06  23.1r 12UL177   568  C~1C6U      
2012 10  19.36875  01 32 56.828  +28 21 11.21  23.0r 12UL177   568  C~1C6U      
2012 10  19.41153  01 32 56.573  +28 21 09.79  22.9r 12UL177   568  C~1C6U      
2012 10  20.36078  01 32 51.080  +28 20 39.17  22.9r 12UL177   568  C~1C6U      
2012 10  20.39925  01 32 50.858  +28 20 37.96  22.9r 12UL177   568  C~1C6U      
2012 10  20.43815  01 32 50.627  +28 20 36.72  22.9r 12UL177   568  C~1C6U      
2012 10  21.42228  01 32 44.930  +28 20 04.38        12UL177   568  C~1C6U      
2012 11  14.35891  01 30 33.877  +28 04 47.34  22.9r 12UL177   568  C~1C6U      
2013 01  14.22823  01 28 21.946  +27 25 13.63  23.1r 12UL177   568  C~1C6U      
2013 01  14.24065  01 28 21.956  +27 25 13.38  23.2r 12UL177   568  C~1C6U      
2013 02  03.30644  01 29 10.545  +27 18 29.31  23.1r 12UL177   568  C~1C6U      
2013 02  06.25798  01 29 21.524  +27 17 54.52  23.1r 12UL177   568  C~1C6U      
2013 02  09.25615  01 29 33.623  +27 17 26.04  23.2r 12UL177   568  C~1C6U      
2013 02  14.25470  01 29 55.869  +27 16 53.83  23.2r 12UL177   568  C~1C6U      
2013 02  16.25637  01 30 05.458  +27 16 46.40        12UL177   568  C~1C6U      
2013 02  17.25185  01 30 10.367  +27 16 43.99  22.9r 12UL177   568  C~1C6U      
2017 09  23.39840  02 15 20.86   +30 07 29.0   22.8R 12UL177   G37  C~2LSK      
2017 09  23.48222  02 15 20.48   +30 07 28.8         12UL177   G37  C~2LSK      

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     0.04       0.00     0.05
  2   0.0001     -1.97     0.08       0.92     0.00
  3   0.0002     -3.90     0.05       1.81    -0.01
  4   0.0110   -185.71    -0.04      79.76     0.07
  5   0.2297  -6091.66     0.03     188.37    -0.03
  6   0.2297  -6092.97     0.01     188.00    -0.07
  7   0.2355  -6233.67    -0.08     148.63    -0.00
  8   0.2434  -6419.45    -0.08      91.18     0.01
  9   0.2489  -6543.86     0.01      48.98     0.01
 10   0.4076  -7571.06     0.00   -1618.53     0.09
 11   0.9639   6639.40    -0.14   -1290.01     0.16
 12   0.9778   6508.80    -0.09   -1174.55     0.19
 13   0.9912   6347.61    -0.12   -1069.71     0.05
 14   1.0321   5649.92    -0.05    -790.09     0.06
 15   1.0377   5532.73    -0.13    -757.59     0.17
 16   1.1333   2961.82     0.13    -483.84    -0.04
 17   1.1334   2958.17     0.08    -483.88    -0.08
 18   1.1360   2879.44     0.08    -484.74    -0.07
 19   1.1361   2876.27     0.16    -484.75    -0.06
 20   1.1362   2872.98     0.15    -484.75    -0.03
 21   1.1389   2791.11     0.09    -486.17    -0.03
 22   1.2045    839.83     0.07    -673.62    -0.09
 23   1.3711  -1691.10     0.06   -2189.24    -0.17
 24   1.3712  -1691.07     0.04   -2189.52    -0.07
 25   1.4261  -1250.35     0.02   -2812.53    -0.10
 26   1.4342  -1128.74    -0.03   -2901.09    -0.10
 27   1.4424   -990.88    -0.07   -2989.54    -0.01
 28   1.4561   -729.52    -0.00   -3133.42    -0.09
 29   1.4615   -614.35    -0.12   -3189.42    -0.02
 30   1.4643   -554.84    -0.15   -3216.79     0.14
 31   6.0615  36842.23    -0.16   -5756.98    -0.14
 32   6.0618  36837.30     0.17   -5755.69     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.

12UL177    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.027    41.034    41.021
ecceobj         0.123     0.123     0.123
incobj         19.228    19.228    19.228
qmin           34.776    34.708    34.768
qmax           46.903    46.949    46.928
amean          40.699    40.696    40.699
amin           40.301    40.300    40.314
amax           41.105    41.101    41.103
emean           0.122     0.123     0.123
emin            0.101     0.104     0.106
emax            0.143     0.144     0.144
imean          20.891    20.873    20.876
imin           20.024    20.009    20.009
imax           21.649    21.617    21.634
excite_mean     0.377     0.377     0.377
fracstop        1.000     1.000     1.000
cjmean          2.896     2.896     2.896

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       178.9     185.0     182.0
kozaiamp        180.0     180.0     180.0