Orbit Fit and Astrometric record for 18MG13

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: 18MG13    
# Created Tue Apr  1 01:11:09 2025
# Orbit generated from Bernstein formalism
# Fitting     16 observations of     16
# Arc:   2.02y
# First observation: 2017/07/20
#  Last observation: 2019/07/29
Preliminary a, adot, b, bdot, g, gdot:
  -0.000000   0.020148   0.000004  -0.003453   0.021884   0.000000
# Chi-squared of fit:     8.83 DOF:     26 RMS:  0.13
# Min/Max residuals:    -0.47    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.451503E-05  2.010596E-02 -2.502328E-06 -3.443574E-03  2.192014E-02 -1.369478E-03
# Covariance matrix:
  4.8734E-13 -2.9880E-13 -2.1813E-15  6.2349E-15 -4.2692E-13 -8.4522E-13
 -2.9880E-13  4.4712E-11  2.7374E-12 -9.1424E-12 -1.3105E-11  1.1870E-09
 -2.1813E-15  2.7374E-12  4.7936E-13 -7.5204E-13 -8.1703E-13  7.2995E-11
  6.2349E-15 -9.1424E-12 -7.5204E-13  2.0419E-12  2.7315E-12 -2.4380E-10
 -4.2692E-13 -1.3105E-11 -8.1703E-13  2.7315E-12  5.0518E-12 -3.5456E-10
 -8.4522E-13  1.1870E-09  7.2995E-11 -2.4380E-10 -3.5456E-10  3.1655E-08
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.580437  -75.085999   -0.225494    0.044527   -0.986353  2457954.777941
# Heliocentric elements and errors
Epoch:              2457950.5000  =  2017/07/16
Mean Anomaly:          299.50387 +/-     2.679
Argument of Peri:      232.71088 +/-     3.671
Long of Asc Node:      119.59946 +/-     0.002
Inclination:            10.04905 +/-     0.001
Eccentricity:         0.06610216 +/-    0.0079
Semi-Major Axis:     48.00834184 +/-    0.0101
Time of Perihelion: 2478367.8118 +/-     904.0
Perihelion:          44.83488655 +/-    0.3781
Aphelion:            51.18179712 +/-    0.3782
Period (y)              332.6467 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.19930396 +/-    0.0012
Ecliptic Y          -44.93977914 +/-    0.0045
Ecliptic Z            2.05385721 +/-    0.0002
Ecliptic XDOT         0.00239223 +/-    0.0000
Ecliptic YDOT         0.00078682 +/-    0.0000
Ecliptic ZDOT        -0.00043747 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.61142667 +/-    0.0044
Geocenter to KBO     45.62015578 +/-    0.0047
# Hcoef:  7.52

The following table shows the complete astrometric record for 18MG13. 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 (18MG13) followed by the observatory code and reference code for the source of the astrometry.

2017 07  20.27714  19 03 31.989  -20 02 25.03  23.4r 18MG13    266  C~7ukM      
2017 07  20.41604  19 03 31.362  -20 02 26.38  23.4r 18MG13    266  C~7ukM      
2017 07  20.55184  19 03 30.750  -20 02 27.65  23.4r 18MG13    266  C~7ukM      
2018 06  16.184509 19 11 04.886  -20 01 05.10  24.4V 18MG13    W84  C~3d0O      
2018 06  16.314154 19 11 04.328  -20 01 05.98  25.4V 18MG13    W84  C~3d0O      
2018 06  16.405585 19 11 03.951  -20 01 06.54  24.3V 18MG13    W84  C~3d0O      
2018 06  17.135006 19 11 00.897  -20 01 12.65  24.8V 18MG13    W84  C~3d0O      
2018 06  17.260720 19 11 00.356  -20 01 14.15        18MG13    W84  C~3d0O      
2018 06  17.409495 19 10 59.740  -20 01 14.70        18MG13    W84  C~3d0O      
2018 06  18.290980 19 10 56.005  -20 01 21.95  24.4V 18MG13    W84  C~3d0O      
2019 07  27.040653 19 13 03.807  -20 10 56.40        18MG13    304  C~3d0O      
2019 07  28.031462 19 12 59.50   -20 11 06.77        18MG13    304  C~3d0O      
2019 07  28.134197 19 12 59.05   -20 11 07.74        18MG13    304  C~3d0O      
2019 07  28.211493 19 12 58.72   -20 11 08.57        18MG13    304  C~3d0O      
2019 07  29.031199 19 12 55.18   -20 11 17.28        18MG13    304  C~3d0O      
2019 07  29.144037 19 12 54.70   -20 11 18.58        18MG13    304  C~3d0O      

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    -0.00       0.00     0.00
     2   0.0004     -8.93     0.00      -0.38     0.00
     3   0.0008    -17.64     0.00      -0.70     0.01
     4   0.9060   6351.69    -0.08    -652.12    -0.07
     5   0.9063   6343.77    -0.14    -652.05     0.10
     6   0.9066   6338.42     0.04    -651.96     0.23
     7   0.9086   6294.92    -0.06    -652.86    -0.01
     8   0.9089   6287.16    -0.15    -653.43    -0.47
     9   0.9093   6278.47     0.23    -652.93     0.12
    10   0.9117   6225.29     0.16    -653.81     0.08
    11   2.0171   7944.47     0.12   -1443.49    -0.08
    12   2.0199   7882.93    -0.02   -1446.31    -0.01
    13   2.0201   7876.51     0.01   -1446.49     0.11
    14   2.0204   7871.79     0.14   -1446.74     0.08
    15   2.0226   7821.19    -0.20   -1449.25     0.02
    16   2.0229   7814.31    -0.04   -1449.71    -0.10

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.

18MG13    quality flag:1

Type:       SCATNEAR CLASSICAL      2:1E

axisobj        47.681    47.739    47.652
ecceobj         0.070     0.050     0.077
incobj         10.053    10.055    10.053
qmin           41.692    44.422    42.462
qmax           54.394    51.825    53.513
amean          47.792    47.957    47.799
amin           47.307    47.536    47.340
amax           48.325    48.384    48.273
emean           0.070     0.051     0.069
emin            0.009     0.030     0.002
emax            0.126     0.071     0.109
imean           8.128     8.524     8.703
imin            6.666     8.260     8.141
imax            9.194     8.844     9.370
excite_mean     0.160     0.157     0.167
fracstop        1.000     1.000     1.000
cjmean          3.117     3.121     3.114

libcent 0      -180.0    -180.0     182.9
libamp  0      -180.0    -180.0     175.9
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       254.2     181.6     158.2
kozaiamp        180.0     180.0     180.0