Orbit Fit and Astrometric record for 15GK57

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: 15GK57    
# Created Wed May  8 01:17:04 2024
# Orbit generated from Bernstein formalism
# Fitting     30 observations of     30
# Arc:   2.35y
# First observation: 2015/02/17
#  Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
  -0.000123   0.026558   0.000001  -0.000964   0.025358   0.000000
# Chi-squared of fit:    17.60 DOF:     54 RMS:  0.14
# Min/Max residuals:    -0.42    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.590741E-05  2.647042E-02 -1.314859E-06 -9.633500E-04  2.542713E-02  4.571887E-04
# Covariance matrix:
  1.7783E-13 -1.0067E-15  2.4361E-16 -3.6425E-15  1.3315E-13  2.1260E-12
 -1.0067E-15  4.6974E-13  3.6890E-15 -2.1451E-14  2.3057E-13  1.1725E-11
  2.4361E-16  3.6890E-15  8.8069E-14 -7.2746E-14  1.9190E-15  1.3124E-13
 -3.6425E-15 -2.1451E-14 -7.2746E-14  1.3472E-13 -1.3669E-14 -7.5221E-13
  1.3315E-13  2.3057E-13  1.9190E-15 -1.3669E-14  2.5293E-13  7.6239E-12
  2.1260E-12  1.1725E-11  1.3124E-13 -7.5221E-13  7.6239E-12  4.1050E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.211333 -154.025493    0.833156    0.011265   -0.525853  2457071.015468
# Heliocentric elements and errors
Epoch:              2457070.5000  =  2015/02/17
Mean Anomaly:          359.13253 +/-     0.397
Argument of Peri:      150.89493 +/-     0.486
Long of Asc Node:       54.91952 +/-     0.009
Inclination:             2.37845 +/-     0.001
Eccentricity:         0.09889124 +/-    0.0001
Semi-Major Axis:     44.23939393 +/-    0.0031
Time of Perihelion: 2457329.4794 +/-     118.4
Perihelion:          39.86450541 +/-    0.0036
Aphelion:            48.61428244 +/-    0.0041
Period (y)              294.2537 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -36.18809861 +/-    0.0007
Ecliptic Y          -16.70204212 +/-    0.0003
Ecliptic Z            0.83134615 +/-    0.0000
Ecliptic XDOT         0.00119843 +/-    0.0000
Ecliptic YDOT        -0.00259037 +/-    0.0000
Ecliptic ZDOT        -0.00010257 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.86512045 +/-    0.0007
Geocenter to KBO     39.32807562 +/-    0.0008
# Hcoef:  8.82

The following table shows the complete astrometric record for 15GK57. 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 (15GK57) followed by the observatory code and reference code for the source of the astrometry.

2015 02  17.51469  13 38 06.949  -08 54 14.59  25.6r 15GK57    568  C~2nvV      
2015 02  17.55579  13 38 06.850  -08 54 14.06  25.9r 15GK57    568  C~2nvV      
2015 02  20.48657  13 38 00.487  -08 53 34.13  25.1r 15GK57    568  C~2nvW      
2015 03  18.49249  13 36 35.833  -08 45 05.22  24.1r 15GK57    568  C~2nvW      
2015 03  18.53407  13 36 35.653  -08 45 04.25  24.3r 15GK57    568  C~2nvW      
2015 03  20.53726  13 36 27.426  -08 44 15.94  25.1r 15GK57    568  C~2nvW      
2015 04  11.47256  13 34 48.128  -08 34 41.33  24.8r 15GK57    568  C~2nvW      
2015 04  12.37938  13 34 43.806  -08 34 16.56  24.8r 15GK57    568  C~2nvW      
2015 04  12.42509  13 34 43.587  -08 34 15.39  24.7r 15GK57    568  C~2nvW      
2015 04  12.46730  13 34 43.373  -08 34 14.11  24.6r 15GK57    568  C~2nvW      
2015 04  18.43790  13 34 14.876  -08 31 32.06  24.3r 15GK57    568  C~2nvW      
2015 04  18.48560  13 34 14.637  -08 31 30.60  24.6r 15GK57    568  C~2nvW      
2015 05  16.28656  13 32 10.040  -08 19 56.67  24.8r 15GK57    568  C~2nvW      
2015 05  17.24686  13 32 06.213  -08 19 36.02  24.4r 15GK57    568  C~2nvW      
2015 05  25.38864  13 31 35.936  -08 16 53.19  24.7r 15GK57    568  C~2nvW      
2015 05  25.44647  13 31 35.725  -08 16 52.14  24.8r 15GK57    568  C~2nvW      
2015 06  21.33827  13 30 28.213  -08 11 14.35  24.7r 15GK57    568  C~2nvW      
2015 06  22.29486  13 30 26.885  -08 11 08.96  25.1r 15GK57    568  C~2nvW      
2015 07  12.28879  13 30 17.641  -08 11 03.65  25.9r 15GK57    568  C~2nvW      
2015 07  15.27909  13 30 19.353  -08 11 21.61  24.8r 15GK57    568  C~2nvW      
2015 07  19.27863  13 30 23.034  -08 11 52.71  24.5r 15GK57    568  C~2nvW      
2016 02  04.61430  13 44 03.975  -09 32 03.48  25.1w 15GK57    568  C~2nvW      
2016 02  11.59753  13 43 56.740  -09 31 13.78  25.0w 15GK57    568  C~2nvW      
2016 03  11.60487  13 42 41.774  -09 23 41.73  25.0w 15GK57    568  C~2nvW      
2016 04  03.47362  13 41 05.486  -09 14 27.13  24.8w 15GK57    568  C~2nvW      
2016 04  09.45477  13 40 37.410  -09 11 48.18  24.9w 15GK57    568  C~2nvW      
2016 05  29.32744  13 37 00.782  -08 52 01.24  24.9w 15GK57    568  C~2nvW      
2016 07  07.31590  13 35 51.855  -08 46 48.80  24.3w 15GK57    568  C~2nvW      
2017 02  27.64150  13 49 03.558  -10 03 19.53        15GK57    568  C~2nvW      
2017 06  25.27303  13 41 38.259  -09 23 01.89  25.0w 15GK57    568  C~2nvW      

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     0.11       0.00     0.15
     2   0.0001     -1.56    -0.04      -0.04     0.09
     3   0.0081   -103.92     0.14       3.05     0.01
     4   0.0793  -1457.86    -0.06      22.53     0.10
     5   0.0795  -1460.70    -0.16      22.47     0.03
     6   0.0849  -1591.89     0.07      23.21     0.04
     7   0.1450  -3172.75     0.21      23.26     0.05
     8   0.1475  -3241.49    -0.02      23.00     0.08
     9   0.1476  -3244.94     0.05      22.90     0.02
    10   0.1477  -3248.37    -0.13      22.94     0.10
    11   0.1641  -3701.19    -0.09      19.91    -0.01
    12   0.1642  -3705.02    -0.25      19.98     0.10
    13   0.2403  -5680.56     0.37      -8.70     0.01
    14   0.2429  -5741.03     0.09     -10.25    -0.14
    15   0.2652  -6219.24    -0.06     -23.08    -0.01
    16   0.2654  -6222.54    -0.13     -23.25    -0.06
    17   0.3390  -7279.99     0.04     -76.03    -0.04
    18   0.3416  -7300.34     0.17     -78.24    -0.17
    19   0.3964  -7430.14     0.12    -123.65     0.03
    20   0.4046  -7399.87    -0.42    -131.05    -0.39
    21   0.4155  -7337.54     0.01    -139.95     0.02
    22   0.9640   5750.06     0.01    -213.54     0.00
    23   0.9831   5632.24     0.00    -205.46     0.04
    24   1.0625   4433.98    -0.16    -181.18    -0.35
    25   1.1251   2904.14     0.07    -176.07     0.03
    26   1.1415   2459.01     0.01    -177.52    -0.03
    27   1.2781   -962.29     0.15    -230.99     0.06
    28   1.3848  -2027.75    -0.15    -310.74     0.12
    29   2.0291  10563.85    -0.02    -388.65     0.00
    30   2.3512   3542.16     0.07    -481.81     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.

15GK57    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        43.796    43.808    43.784
ecceobj         0.090     0.090     0.090
incobj          2.383     2.383     2.383
qmin           39.218    39.249    39.261
qmax           49.164    49.234    49.166
amean          44.089    44.101    44.077
amin           43.734    43.752    43.719
amax           44.451    44.477    44.471
emean           0.090     0.090     0.089
emin            0.073     0.073     0.072
emax            0.107     0.107     0.107
imean           1.426     1.430     1.422
imin            0.525     0.529     0.520
imax            2.173     2.187     2.163
excite_mean     0.093     0.094     0.093
fracstop        1.000     1.000     1.000
cjmean          3.092     3.092     3.092

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       178.6     178.3     178.9
kozaiamp        180.0     180.0     180.0