Orbit Fit and Astrometric record for 15GO50

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: 15GO50    
# Created Wed Dec 13 02:38:10 2017
# Orbit generated from Bernstein formalism
# Fitting   52 observations of   57
# Arc:   3.97y
# First observation: 2012/04/13
#  Last observation: 2016/04/01
Preliminary a, adot, b, bdot, g, gdot:
  -0.000042   0.028694   0.000003  -0.001947   0.027634   0.000000
# Chi-squared of fit:    64.73 DOF:   98 RMS:  0.20
# Min/Max residuals:    -0.68    0.54
# Exact a, adot, b, bdot, g, gdot:
  1.668114E-05  2.884252E-02 -2.900845E-07 -1.932997E-03  2.671987E-02  1.130105E-03
# Covariance matrix:
  2.1479E-13 -1.4655E-13 -3.1079E-15  6.5528E-15 -7.8217E-14 -8.2455E-13
 -1.4655E-13  2.1416E-13  6.2900E-15 -1.3159E-14  1.4939E-13  1.6586E-12
 -3.1079E-15  6.2900E-15  1.6679E-13 -4.9698E-14  4.5347E-15  5.2839E-14
  6.5528E-15 -1.3159E-14 -4.9698E-14  1.8467E-14 -1.2519E-14 -1.1333E-13
 -7.8217E-14  1.4939E-13  4.5347E-15 -1.2519E-14  3.7040E-13  1.4961E-12
 -8.2455E-13  1.6586E-12  5.2839E-14 -1.1333E-13  1.4961E-12  1.4208E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -16.354318  179.910121   -0.405234   -0.259303   -0.883596  2456030.844626
# Heliocentric elements and errors
Epoch:              2456030.5000  =  2012/04/13
Mean Anomaly:           17.58490 +/-     0.041
Argument of Peri:      233.86461 +/-     0.057
Long of Asc Node:      283.61116 +/-     0.001
Inclination:            16.36904 +/-     0.000
Eccentricity:         0.14386181 +/-    0.0001
Semi-Major Axis:     44.27688367 +/-    0.0041
Time of Perihelion: 2450773.9420 +/-      12.3
Perihelion:          37.90713119 +/-    0.0047
Aphelion:            50.64663614 +/-    0.0057
Period (y)              294.6278 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -36.82974707 +/-    0.0008
Ecliptic Y           -0.34631636 +/-    0.0000
Ecliptic Z          -10.53808344 +/-    0.0002
Ecliptic XDOT        -0.00006492 +/-    0.0000
Ecliptic YDOT        -0.00295155 +/-    0.0000
Ecliptic ZDOT        -0.00022255 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.30928617 +/-    0.0008
Geocenter to KBO     37.42533642 +/-    0.0009
# Hcoef:  6.38

The following table shows the complete astrometric record for 15GO50. 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 (15GO50) followed by the observatory code and reference code for the source of the astrometry.

2012 04  13.34386  11 33 02.587  -14 56 10.18  22.0w 15GO50    F51  C~1vYY      
2012 04  13.34390  11 33 02.57   -14 56 10.1   21.7R 15GO50    F51  C~1pQu      
2012 04  13.35711  11 33 02.529  -14 56 09.63  21.9w 15GO50    F51  C~1vYY      
2012 04  13.35715  11 33 02.52   -14 56 09.5   21.7R 15GO50    F51  C~1pQu      
2012 04  13.37032  11 33 02.485  -14 56 09.15  22.1w 15GO50    F51  C~1vYY      
2012 04  13.38358  11 33 02.424  -14 56 08.64  22.2w 15GO50    F51  C~1vYY      
2013 04  07.34421  11 39 33.781  -15 46 28.13  21.6w 15GO50    F51  C~1vYY      
2013 04  07.35875  11 39 33.705  -15 46 27.45  21.9w 15GO50    F51  C@0617      
2013 04  07.37330  11 39 33.633  -15 46 26.97  21.8w 15GO50    F51  C~1vYY      
2013 04  07.38782  11 39 33.571  -15 46 26.55  21.8w 15GO50    F51  C~1vYY      
2015 02  19.46542  11 55 39.060  -17 36 45.74  22.0w 15GO50    F51  C~1vYY      
2015 02  19.47709  11 55 39.014  -17 36 45.59  22.0w 15GO50    F51  C~1vYY      
2015 02  19.48877  11 55 38.967  -17 36 45.58  22.3w 15GO50    F51  C~1vYY      
2015 02  19.50045  11 55 38.910  -17 36 45.47  22.0w 15GO50    F51  C~1vYY      
2015 03  18.40933  11 53 29.419  -17 28 08.73  22.2w 15GO50    F51  C~1vYY      
2015 03  18.42057  11 53 29.352  -17 28 08.38  22.2w 15GO50    F51  C~1vYY      
2015 03  18.43184  11 53 29.288  -17 28 08.18  21.9w 15GO50    F51  C~1vYY      
2015 03  18.44311  11 53 29.230  -17 28 07.80  22.5w 15GO50    F51  C~1vYY      
2015 03  20.43889  11 53 19.094  -17 27 11.77  22.1w 15GO50    F51  C~1vYY      
2015 03  20.45037  11 53 19.047  -17 27 11.58  22.0w 15GO50    F51  C~1vYY      
2015 03  20.46190  11 53 18.984  -17 27 10.86  22.0w 15GO50    F51  C~1vYY      
2015 03  20.47338  11 53 18.928  -17 27 10.59  22.2w 15GO50    F51  C~1vYY      
2015 04  13.03287  11 51 24.127  -17 14 01.21        15GO50    807  C~1pQu      
2015 04  13.03287  11 51 24.09   -17 14 01.2   22.2V 15GO50    W84  C~2JAh      
2015 04  13.13580  11 51 23.634  -17 13 57.63        15GO50    807  C~1pQu      
2015 04  13.13580  11 51 23.62   -17 13 57.4         15GO50    W84  C~2JAh      
2015 04  13.25786  11 51 23.083  -17 13 52.93        15GO50    807  C~1pQu      
2015 04  13.25787  11 51 23.06   -17 13 52.8         15GO50    W84  C~2JAh      
2015 04  20.14576  11 50 53.304  -17 09 32.82  21.7r 15GO50    304  C~1pQu      
2015 04  20.25335  11 50 52.843  -17 09 28.66        15GO50    304  C~1pQu      
2015 05  23.04740  11 49 15.391  -16 49 10.69        15GO50    304  C~1pQu      
2015 05  23.10697  11 49 15.280  -16 49 08.27        15GO50    304  C~1pQu      
2015 07  16.96978  11 50 10.604  -16 31 21.28        15GO50    304  C~1pQu      
2015 07  17.97153  11 50 14.237  -16 31 20.05        15GO50    304  C~1pQu      
2016 03  03.45043  12 00 50.81   -18 17 27.7   22.5R 15GO50    F51  C~1pQu      
2016 03  03.46160  12 00 50.76   -18 17 27.5   22.4R 15GO50    F51  C~1pQu      
2016 03  03.47267  12 00 50.70   -18 17 27.3   21.8R 15GO50    F51  C~1pQu      
2016 03  03.48378  12 00 50.65   -18 17 27.3   22.4R 15GO50    F51  C~1pQu      
2016 03  04.44847  12 00 46.00   -18 17 09.6   22.9R 15GO50    F51  C~1pQu      
2016 03  04.45944  12 00 45.94   -18 17 09.2   22.1R 15GO50    F51  C~1pQu      
2016 03  04.47043  12 00 45.89   -18 17 09.1   22.6R 15GO50    F51  C~1pQu      
2016 03  04.48139  12 00 45.84   -18 17 08.9   22.0R 15GO50    F51  C~1pQu      
2016 03  05.45545  12 00 41.10   -18 16 50.2   23.2R 15GO50    F51  C~1pQu      
2016 03  05.46578  12 00 41.08   -18 16 50.3   21.8R 15GO50    F51  C~1pQu      
2016 03  05.47611  12 00 41.02   -18 16 50.1   21.7R 15GO50    F51  C~1pQu      
2016 03  05.48641  12 00 40.95   -18 16 49.8   22.6R 15GO50    F51  C~1pQu      
2016 03  08.40548  12 00 26.644  -18 15 50.31  21.6r 15GO50    304  C~1pQu      
2016 03  10.40413  12 00 16.754  -18 15 06.99        15GO50    304  C~1pQu      
2016 03  28.22980  11 58 46.65   -18 06 57.0   23.7V 15GO50    W84  C~1qnP      
2016 03  28.23674  11 58 46.65   -18 06 57.0         15GO50    W84  C~1qnP      
2016 03  28.24368  11 58 46.64   -18 06 57.0         15GO50    W84  C~1qnP      
2016 03  30.20435  11 58 36.75   -18 05 52.5         15GO50    W84  C~1qnP      
2016 03  30.21129  11 58 36.75   -18 05 52.4         15GO50    W84  C~1qnP      
2016 03  30.21823  11 58 36.76   -18 05 52.4         15GO50    W84  C~1qnP      
2016 04  01.27480  11 58 26.42   -18 04 44.3         15GO50    W84  C~1qnP      
2016 04  01.28174  11 58 26.42   -18 04 44.2         15GO50    W84  C~1qnP      
2016 04  01.28868  11 58 26.41   -18 04 44.4         15GO50    W84  C~1qnP      

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     0.08       0.00    -0.18
  2   0.0000     -0.26    -0.17      -0.03    -0.20
  3   0.0000     -0.99     0.04       0.16    -0.14
  4   0.0000     -1.16    -0.13       0.22    -0.07
  5   0.0001     -1.77     0.22       0.33    -0.08
  6   0.0001     -2.79     0.16       0.43    -0.09
  7   0.9829   6399.51    -0.01    -444.87     0.11
  8   0.9829   6398.23    -0.17    -444.70     0.20
  9   0.9830   6397.08    -0.21    -444.68     0.13
 10   0.9830   6396.09    -0.08    -444.66     0.07
 11   2.8532  21833.33    -0.11   -1037.20    -0.05
 12   2.8532  21832.65    -0.05   -1037.32     0.01
 13   2.8532  21832.02     0.05   -1037.57    -0.06
 14   2.8533  21831.22    -0.02   -1037.79    -0.09
 15   2.9269  19904.16     0.14   -1279.97     0.18
 16   2.9270  19903.13     0.01   -1280.02     0.17
 17   2.9270  19902.20    -0.03   -1280.19     0.03
 18   2.9270  19901.28    -0.05   -1280.16     0.10
 19   2.9325  19744.44    -0.02   -1284.93    -0.04
 20   2.9325  19743.74     0.20   -1285.02    -0.10
 21   2.9326  19742.62     0.01   -1284.70     0.24
 22   2.9326  19741.77     0.07   -1284.77     0.20
 23   2.9971  17904.59    -0.22   -1198.69    -0.15
 24   2.9971  17905.09     0.28   -1198.49     0.05
 25   2.9974  17896.85    -0.19   -1197.83    -0.14
 26   2.9974  17897.13     0.09   -1197.96    -0.28
 27   2.9977  17887.95     0.13   -1196.72    -0.09
 28   2.9977  17887.60    -0.22   -1196.73    -0.10
 29   3.0166  17389.81     0.10   -1124.13     0.28
 30   3.0169  17382.04    -0.01   -1122.89     0.26
 31   3.1066  15606.49     0.42    -550.15     0.22
 32   3.1068  15604.06     0.13    -548.55     0.54
 33   3.2570  15916.83    -0.23     748.98     0.39
 34   3.2598  15964.67     0.23     770.72     0.35
 35   3.8880  26949.08     0.02   -1594.57    -0.21
 36   3.8881  26948.33     0.08   -1594.65    -0.19
 37   3.8881  26947.45     0.00   -1594.79    -0.22
 38   3.8881  26946.78     0.14   -1595.06    -0.38
 39   3.8908  26877.64     0.03   -1603.89    -0.26
 40   3.8908  26876.68    -0.12   -1603.84    -0.11
 41   3.8908  26875.97    -0.03   -1604.02    -0.19
 42   3.8909  26875.23     0.03   -1604.10    -0.17
 43   3.8935  26804.50    -0.31   -1612.49     0.03
 44   3.8936  26804.27     0.22   -1612.69    -0.08
 45   3.8936  26803.39     0.10   -1612.83    -0.13
 46   3.8936  26802.33    -0.19   -1612.94    -0.14
 47   3.9016  26587.71     0.11   -1635.45     0.28
 48   3.9071  26438.52 (   0.71)  -1649.01 (   0.20)
 49   3.9559  25043.21     0.27   -1685.41     0.03
 50   3.9559  25043.21 (   0.83)  -1685.41 (   0.02)
 51   3.9559  25043.08 (   1.26)  -1685.46 (  -0.05)
 52   3.9613  24885.85    -0.28   -1679.67     0.53
 53   3.9613  24885.81 (   0.24)  -1679.58 (   0.61)
 54   3.9613  24885.94 (   0.93)  -1679.52 (   0.64)
 55   3.9670  24721.32    -0.68   -1672.89    -0.10
 56   3.9670  24721.28    -0.16   -1672.80    -0.04
 57   3.9670  24721.22     0.34   -1673.04    -0.31

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.

15GO50    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.203    44.216    44.191
ecceobj         0.142     0.142     0.142
incobj         16.365    16.365    16.365
qmin           37.306    37.301    37.271
qmax           51.868    51.886    51.832
amean          44.405    44.417    44.392
amin           44.024    44.044    44.021
amax           44.819    44.821    44.809
emean           0.142     0.143     0.142
emin            0.129     0.129     0.128
emax            0.158     0.158     0.157
imean          18.026    18.024    18.027
imin           17.521    17.504    17.518
imax           18.539    18.539    18.536
excite_mean     0.341     0.341     0.341
fracstop        1.000     1.000     1.000
cjmean          2.964     2.964     2.964

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       180.7     180.9     180.5
kozaiamp        179.9     180.0     179.9