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 Mon Apr 28 01:11:11 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