Orbit Fit and Astrometric record for 15KG172

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: 15KG172   
# Created Tue Dec  7 02:13:27 2021
# Orbit generated from Bernstein formalism
# Fitting     10 observations of     10
# Arc:   3.88y
# First observation: 2015/05/20
#  Last observation: 2019/04/05
Preliminary a, adot, b, bdot, g, gdot:
   0.000003   0.009564  -0.000007  -0.005995   0.015681   0.000000
# Chi-squared of fit:     9.39 DOF:     14 RMS:  0.17
# Min/Max residuals:    -0.38    0.28
# Exact a, adot, b, bdot, g, gdot:
  9.936658E-06  9.634661E-03 -5.283869E-06 -6.054870E-03  1.598788E-02  2.581921E-03
# Covariance matrix:
  3.6788E-13 -1.5811E-13 -1.3292E-15  1.5259E-14  1.1930E-13 -7.2437E-13
 -1.5811E-13  7.1341E-13  3.5206E-14 -3.9459E-13  8.2769E-13  1.8920E-11
 -1.3292E-15  3.5206E-14  3.6085E-13 -1.3303E-13  8.8749E-14  1.1858E-12
  1.5259E-14 -3.9459E-13 -1.3303E-13  3.3164E-13 -9.8270E-13 -1.3244E-11
  1.1930E-13  8.2769E-13  8.8749E-14 -9.8270E-13  7.0950E-12  4.7362E-11
 -7.2437E-13  1.8920E-11  1.1858E-12 -1.3244E-11  4.7362E-11  6.3598E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.536920 -132.569741   -0.197468    0.061249   -0.988783  2457162.568488
# Heliocentric elements and errors
Epoch:              2457160.5000  =  2015/05/18
Mean Anomaly:          108.97700 +/-     0.302
Argument of Peri:       39.40537 +/-     0.246
Long of Asc Node:       53.12671 +/-     0.000
Inclination:            32.31216 +/-     0.001
Eccentricity:         0.26484040 +/-    0.0014
Semi-Major Axis:     55.74405086 +/-    0.0348
Time of Perihelion: 2411142.4139 +/-     119.9
Perihelion:          40.98077436 +/-    0.0815
Aphelion:            70.50732736 +/-    0.0890
Period (y)              416.2038 +/-      0.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -42.75953219 +/-    0.0070
Ecliptic Y          -46.83910481 +/-    0.0077
Ecliptic Z            3.85834044 +/-    0.0006
Ecliptic XDOT         0.00087046 +/-    0.0000
Ecliptic YDOT        -0.00149437 +/-    0.0000
Ecliptic ZDOT        -0.00100754 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   63.53869784 +/-    0.0074
Geocenter to KBO     62.54737814 +/-    0.0104
# Hcoef:  6.12

The following table shows the complete astrometric record for 15KG172. 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 (15KG172) followed by the observatory code and reference code for the source of the astrometry.

2015 05  20.06771  15 03 57.52   -13 38 16.6         15KG172   W84  C~2fCG      
2015 05  21.07556  15 03 54.15   -13 38 06.6   23.9r 15KG172   W84  C~2fCG      
2015 05  22.15470  15 03 50.56   -13 37 56.1         15KG172   W84  C~2fCG      
2015 05  24.06788  15 03 44.22   -13 37 37.8         15KG172   W84  C~2fCG      
2018 04  12.16494  15 11 24.425  -15 11 25.40  24.0r 15KG172   807  C~2fCG      
2018 04  13.16054  15 11 21.444  -15 11 15.80  23.9r 15KG172   807  C~2fCG      
2018 05  16.32178  15 09 32.159  -15 05 35.30  23.8r 15KG172   304  C~2fCG      
2018 05  17.33766  15 09 28.699  -15 05 25.25  24.0r 15KG172   304  C~2fCG      
2019 04  05.418010 15 13 31.659  -15 40 52.76  24.7G 15KG172   G37  C~34cB      
2019 04  05.466880 15 13 31.502  -15 40 51.57        15KG172   G37  C~34cB      

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    -0.15
     2   0.0028    -49.97    -0.05      -4.00    -0.03
     3   0.0057   -103.17     0.11      -8.40     0.05
     4   0.0110   -197.04     0.01     -16.42     0.08
     5   2.8969   7776.21     0.15   -3605.50     0.25
     6   2.8996   7732.00    -0.07   -3607.86     0.17
     7   2.9904   6114.42     0.07   -3707.07    -0.06
     8   2.9932   6063.41    -0.06   -3710.97    -0.22
     9   3.8778  10027.35     0.23   -4817.99    -0.38
    10   3.8779  10024.84    -0.29   -4817.44     0.28

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.

15KG172    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        55.258    55.357    55.162
ecceobj         0.267     0.269     0.265
incobj         32.462    32.461    32.464
qmin           39.024    39.459    33.839
qmax           72.906    72.667    78.164
amean          55.526    55.727    55.461
amin           54.736    55.158    54.776
amax           56.317    56.406    56.344
emean           0.266     0.271     0.297
emin            0.234     0.251     0.222
emax            0.295     0.289     0.391
imean          31.289    31.292    30.122
imin           30.609    30.879    26.718
imax           32.031    31.769    32.291
excite_mean     0.584     0.586     0.586
fracstop        1.000     1.000     1.000
cjmean          2.780     2.779     2.780

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       182.9     159.2     125.2
kozaiamp        179.9     179.8      60.8