Orbit Fit and Astrometric record for 15GT50

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: 15GT50    
# Created Mon Dec 18 02:38:10 2017
# Orbit generated from Bernstein formalism
# Fitting   34 observations of   34
# Arc:   2.25y
# First observation: 2015/02/20
#  Last observation: 2017/05/24
Preliminary a, adot, b, bdot, g, gdot:
  -0.000148   0.031695  -0.000003  -0.004621   0.024563   0.000000
# Chi-squared of fit:    14.36 DOF:   62 RMS:  0.11
# Min/Max residuals:    -0.23    0.39
# Exact a, adot, b, bdot, g, gdot:
  2.039153E-05  3.180727E-02 -3.448087E-06 -4.652991E-03  2.477590E-02  8.614434E-03
# Covariance matrix:
  1.9277E-13 -9.0573E-14 -1.4518E-15  8.1600E-16  1.0998E-13 -9.7496E-14
 -9.0573E-14  5.7139E-13  2.1242E-14 -9.8131E-14  1.8463E-13  1.2274E-11
 -1.4518E-15  2.1242E-14  1.0203E-13 -8.9508E-14  7.3330E-15  5.8280E-13
  8.1600E-16 -9.8131E-14 -8.9508E-14  1.4619E-13 -4.1096E-14 -2.6963E-12
  1.0998E-13  1.8463E-13  7.3330E-15 -4.1096E-14  2.1398E-13  5.1458E-12
 -9.7496E-14  1.2274E-11  5.8280E-13 -2.6963E-12  5.1458E-12  3.3724E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.219828 -153.811841    0.805471    0.032060   -0.567556  2457074.139828
# Heliocentric elements and errors
Epoch:              2457070.5000  =  2015/02/17
Mean Anomaly:            0.89867 +/-     0.006
Argument of Peri:      128.94759 +/-     0.055
Long of Asc Node:       46.07315 +/-     0.001
Inclination:             8.79042 +/-     0.001
Eccentricity:         0.88372302 +/-    0.0006
Semi-Major Axis:    330.23299949 +/-    1.4791
Time of Perihelion: 2451598.7623 +/-       8.0
Perihelion:          38.39849576 +/-    0.2505
Aphelion:           622.06750322 +/-    2.7922
Period (y)             6001.2111 +/-     40.32
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -37.02972272 +/-    0.0007
Ecliptic Y          -17.31261115 +/-    0.0003
Ecliptic Z            2.26687386 +/-    0.0000
Ecliptic XDOT         0.00066876 +/-    0.0000
Ecliptic YDOT        -0.00359183 +/-    0.0000
Ecliptic ZDOT        -0.00045981 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.93978000 +/-    0.0006
Geocenter to KBO     40.36179660 +/-    0.0008
# Hcoef:  8.54

The following table shows the complete astrometric record for 15GT50. 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 (15GT50) followed by the observatory code and reference code for the source of the astrometry.

2015 02  20.63905  13 41 50.847  -07 06 28.34  24.4r 15GT50    568  C~2Gtz      
2015 03  18.58338  13 40 34.767  -06 58 51.41  24.4r 15GT50    568  C~2Gtz      
2015 03  18.63265  13 40 34.571  -06 58 50.47  24.6r 15GT50    568  C~2Gtz      
2015 03  20.58759  13 40 27.184  -06 58 08.39  24.3r 15GT50    568  C~2Gtz      
2015 04  11.52247  13 38 55.202  -06 49 47.27  24.0r 15GT50    568  C~2Gtz      
2015 04  13.38609  13 38 46.926  -06 49 03.98  24.4r 15GT50    568  C~2Gtz      
2015 04  13.44737  13 38 46.646  -06 49 02.54  24.4r 15GT50    568  C~2Gtz      
2015 04  13.45145  13 38 46.633  -06 49 02.35  24.7r 15GT50    568  C~2Gtz      
2015 04  13.45555  13 38 46.615  -06 49 02.31  24.3r 15GT50    568  C~2Gtz      
2015 04  13.52960  13 38 46.278  -06 49 00.63  24.6r 15GT50    568  C~2Gtz      
2015 04  19.49744  13 38 19.700  -06 46 43.67  24.4r 15GT50    568  C~2Gtz      
2015 04  19.55519  13 38 19.436  -06 46 41.78  24.5r 15GT50    568  C~2Gtz      
2015 05  18.34948  13 36 19.759  -06 37 12.59  24.4r 15GT50    568  C~2Gtz      
2015 06  20.29948  13 34 53.503  -06 32 25.01  24.8r 15GT50    568  C~2Gtz      
2015 06  20.34029  13 34 53.443  -06 32 24.91  24.5r 15GT50    568  C~2Gtz      
2015 06  22.34439  13 34 50.791  -06 32 24.24  25.1r 15GT50    568  C~2Gtz      
2015 07  14.29673  13 34 44.359  -06 34 32.33  24.3r 15GT50    568  C~2Gtz      
2015 07  20.28959  13 34 50.008  -06 35 50.98  24.6r 15GT50    568  C~2Gtz      
2016 02  04.60621  13 48 35.691  -08 02 20.71  25.0w 15GT50    568  C~2Gtz      
2016 02  11.58929  13 48 30.549  -08 01 39.56  24.8w 15GT50    568  C~2Gtz      
2016 03  11.59678  13 47 25.551  -07 55 04.40  24.6w 15GT50    568  C~2Gtz      
2016 03  12.46991  13 47 22.671  -07 54 47.91  24.9w 15GT50    568  C~2Gtz      
2016 03  12.51169  13 47 22.534  -07 54 46.96  24.8w 15GT50    568  C~2Gtz      
2016 03  12.52638  13 47 22.483  -07 54 46.98  25.1w 15GT50    568  C~2Gtz      
2016 03  12.61050  13 47 22.195  -07 54 45.27  24.8w 15GT50    568  C~2Gtz      
2016 04  03.46957  13 45 57.680  -07 47 02.98  24.2w 15GT50    568  C~2Gtz      
2016 04  13.45991  13 45 14.110  -07 43 15.85  24.7w 15GT50    568  C~2Gtz      
2016 04  14.36210  13 45 10.126  -07 42 55.30  25.4w 15GT50    568  C~2Gtz      
2016 05  02.34774  13 43 51.092  -07 36 24.38  24.6w 15GT50    568  C~2Gtz      
2016 05  07.35110  13 43 30.092  -07 34 45.37  24.8w 15GT50    568  C~2Gtz      
2016 05  29.34365  13 42 09.673  -07 28 58.89  25.0w 15GT50    568  C~2Gtz      
2016 06  04.40605  13 41 52.166  -07 27 55.19  24.7w 15GT50    568  C~2Gtz      
2017 03  30.50178  13 52 40.848  -08 41 43.19  24.6w 15GT50    568  C~2Gtz      
2017 05  24.26091  13 48 51.881  -08 23 22.22  24.7w 15GT50    568  C~2Gtz      

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    -0.02       0.00     0.10
  2   0.0710  -1221.16     0.21      18.53     0.18
  3   0.0712  -1224.22     0.13      18.35     0.03
  4   0.0765  -1341.98    -0.00      17.97     0.13
  5   0.1366  -2800.42     0.04      -8.84    -0.01
  6   0.1417  -2931.02    -0.14     -12.99    -0.10
  7   0.1418  -2935.43    -0.18     -13.15    -0.09
  8   0.1419  -2935.68    -0.13     -13.05     0.03
  9   0.1419  -2935.94    -0.11     -13.11    -0.02
 10   0.1421  -2941.23    -0.11     -13.35    -0.07
 11   0.1584  -3359.94     0.15     -28.69    -0.14
 12   0.1586  -3364.29    -0.10     -28.35     0.39
 13   0.2374  -5233.15     0.19    -143.04     0.20
 14   0.3276  -6536.31     0.05    -341.38    -0.12
 15   0.3277  -6537.18     0.04    -341.61    -0.06
 16   0.3332  -6574.28     0.04    -355.35    -0.20
 17   0.3933  -6617.13    -0.00    -509.58    -0.21
 18   0.4097  -6510.03    -0.03    -552.31    -0.23
 19   0.9554   6823.26    -0.06    -975.99    -0.00
 20   0.9745   6737.15     0.03    -964.72    -0.09
 21   1.0540   5693.21    -0.01    -939.59    -0.10
 22   1.0563   5647.32    -0.02    -939.44    -0.04
 23   1.0565   5645.07     0.01    -939.28     0.14
 24   1.0565   5644.37     0.11    -939.57    -0.14
 25   1.0567   5639.76     0.07    -939.50    -0.04
 26   1.1166   4300.84    -0.10    -956.16     0.02
 27   1.1439   3614.60    -0.02    -975.70     0.08
 28   1.1464   3551.93     0.01    -977.70     0.17
 29   1.1956   2314.68    -0.20   -1033.70    -0.09
 30   1.2093   1987.67     0.07   -1053.29     0.09
 31   1.2696    747.07    -0.01   -1159.48     0.14
 32   1.2862    481.20     0.10   -1193.67     0.06
 33   2.1050  11071.42     0.05   -1895.17    -0.06
 34   2.2550   7497.91    -0.05   -2070.11     0.02

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.

15GT50    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj       300.363   304.324   296.539
ecceobj         0.872     0.874     0.870
incobj          8.807     8.807     8.807
qmin           35.481    35.295    35.036
qmax          649.883   712.569   806.389
amean         302.946   327.714   334.060
amin          272.275   301.629   287.338
amax          344.150   375.519   422.483
emean           0.873     0.882     0.884
emin            0.854     0.868     0.862
emax            0.889     0.898     0.911
imean           8.357     8.362     8.456
imin            7.937     7.934     7.945
imax            8.896     8.879     9.027
excite_mean     0.885     0.894     0.896
fracstop        1.000     1.000     1.000
cjmean          3.162     3.161     3.163

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       143.7     142.3     146.5
kozaiamp         18.3      15.6      17.3