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: 18MF13 # Created Fri Nov 22 02:10:56 2024 # Orbit generated from Bernstein formalism # Fitting 26 observations of 26 # Arc: 4.10y # First observation: 2015/06/21 # Last observation: 2019/07/28 Preliminary a, adot, b, bdot, g, gdot: -0.000005 0.018861 0.000004 -0.001039 0.021871 0.000000 # Chi-squared of fit: 11.75 DOF: 46 RMS: 0.12 # Min/Max residuals: -0.28 0.36 # Exact a, adot, b, bdot, g, gdot: 1.407793E-05 1.860565E-02 -1.053670E-06 -1.020462E-03 2.206307E-02 -4.020609E-03 # Covariance matrix: 2.6114E-13 -1.1380E-12 -1.6377E-14 7.5804E-14 5.8395E-13 -1.8052E-11 -1.1380E-12 5.1586E-11 7.9401E-13 -3.6754E-12 -3.3302E-11 8.7533E-10 -1.6377E-14 7.9401E-13 2.4048E-13 -1.1769E-13 -5.1502E-13 1.3483E-11 7.5804E-14 -3.6754E-12 -1.1769E-13 2.8360E-13 2.3840E-12 -6.2414E-11 5.8395E-13 -3.3302E-11 -5.1502E-13 2.3840E-12 2.2705E-11 -5.6778E-10 -1.8052E-11 8.7533E-10 1.3483E-11 -6.2414E-11 -5.6778E-10 1.4864E-08 # lat0 lon0 xBary yBary zBary JD0 -0.138130 -76.286024 0.248062 -0.002253 -0.985357 2457194.776455 # Heliocentric elements and errors Epoch: 2457190.5000 = 2015/06/17 Mean Anomaly: 251.11708 +/- 0.679 Argument of Peri: 315.08633 +/- 0.615 Long of Asc Node: 100.94553 +/- 0.001 Inclination: 3.14938 +/- 0.001 Eccentricity: 0.24811195 +/- 0.0047 Semi-Major Axis: 41.05644384 +/- 0.0336 Time of Perihelion: 2486252.6456 +/- 177.6 Perihelion: 30.86984956 +/- 0.1949 Aphelion: 51.24303813 +/- 0.1977 Period (y) 263.0754 +/- 0.32 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.73513674 +/- 0.0023 Ecliptic Y -45.04840635 +/- 0.0095 Ecliptic Z -0.10928827 +/- 0.0000 Ecliptic XDOT 0.00212215 +/- 0.0000 Ecliptic YDOT 0.00102613 +/- 0.0000 Ecliptic ZDOT -0.00012536 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.30997754 +/- 0.0093 Geocenter to KBO 45.32461500 +/- 0.0098 # Hcoef: 8.70
The following table shows the complete astrometric record for 18MF13. 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 (18MF13) followed by the observatory code and reference code for the source of the astrometry.
2015 06 21.275677 18 59 38.406 -22 52 13.40 18MF13 W84 C~3d0O 2015 06 21.310245 18 59 38.240 -22 52 14.00 18MF13 W84 C~3d0O 2015 06 21.344757 18 59 38.103 -22 52 14.04 18MF13 W84 C~3d0O 2015 06 24.294714 18 59 24.400 -22 52 35.32 18MF13 W84 C~3d0O 2015 06 24.329317 18 59 24.244 -22 52 35.19 18MF13 W84 C~3d0O 2015 06 24.363793 18 59 24.088 -22 52 35.46 18MF13 W84 C~3d0O 2018 06 16.302743 19 14 02.492 -22 39 56.76 25.6V 18MF13 W84 C~3d0O 2018 06 16.394172 19 14 02.119 -22 39 57.28 25.3V 18MF13 W84 C~3d0O 2018 06 17.146435 19 13 58.796 -22 40 03.79 25.2V 18MF13 W84 C~3d0O 2018 06 17.249310 19 13 58.344 -22 40 04.72 18MF13 W84 C~3d0O 2018 06 17.341011 19 13 57.929 -22 40 05.51 26.1V 18MF13 W84 C~3d0O 2018 06 18.176302 19 13 54.243 -22 40 12.70 24.9V 18MF13 W84 C~3d0O 2018 06 18.279551 19 13 53.752 -22 40 13.52 25.0V 18MF13 W84 C~3d0O 2018 06 18.369111 19 13 53.349 -22 40 14.38 18MF13 W84 C~3d0O 2019 07 27.005823 19 15 38.155 -22 41 09.26 18MF13 304 C~3d0O 2019 07 27.059960 19 15 37.904 -22 41 09.75 18MF13 304 C~3d0O 2019 07 27.094212 19 15 37.740 -22 41 10.05 18MF13 304 C~3d0O 2019 07 27.133914 19 15 37.554 -22 41 10.35 18MF13 304 C~3d0O 2019 07 27.209648 19 15 37.196 -22 41 11.14 18MF13 304 C~3d0O 2019 07 27.240221 19 15 37.053 -22 41 11.34 18MF13 304 C~3d0O 2019 07 27.273458 19 15 36.910 -22 41 11.54 18MF13 304 C~3d0O 2019 07 27.998045 19 15 33.599 -22 41 18.08 18MF13 304 C~3d0O 2019 07 28.054670 19 15 33.327 -22 41 18.57 18MF13 304 C~3d0O 2019 07 28.094419 19 15 33.148 -22 41 18.77 18MF13 304 C~3d0O 2019 07 28.154491 19 15 32.869 -22 41 19.27 18MF13 304 C~3d0O 2019 07 28.231257 19 15 32.511 -22 41 19.96 18MF13 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 -0.15 0.00 0.07
2 0.0001 -2.34 -0.25 -0.36 -0.28
3 0.0002 -4.23 0.11 -0.21 -0.12
4 0.0083 -194.80 -0.03 -2.03 -0.11
5 0.0084 -196.93 0.11 -1.68 0.25
6 0.0085 -199.10 0.21 -1.73 0.21
7 2.9871 11970.25 -0.14 -636.85 -0.07
8 2.9873 11965.04 0.36 -636.71 0.11
9 2.9894 11918.44 -0.06 -637.35 0.05
10 2.9897 11912.09 0.07 -637.48 -0.00
11 2.9899 11906.28 0.03 -637.54 -0.01
12 2.9922 11854.59 0.13 -638.22 -0.07
13 2.9925 11847.72 -0.19 -638.18 0.04
14 2.9927 11842.06 -0.17 -638.33 -0.07
15 4.0978 13279.06 0.03 -878.64 0.03
16 4.0980 13275.54 0.05 -878.68 0.02
17 4.0981 13273.24 -0.00 -878.68 0.04
18 4.0982 13270.64 -0.00 -878.65 0.09
19 4.0984 13265.60 -0.07 -878.79 -0.04
20 4.0985 13263.61 -0.06 -878.73 0.02
21 4.0986 13261.61 0.11 -878.68 0.08
22 4.1005 13215.13 0.03 -879.24 -0.16
23 4.1007 13211.32 -0.10 -879.24 -0.13
24 4.1008 13208.83 -0.00 -879.12 0.01
25 4.1010 13204.92 0.01 -879.11 0.04
26 4.1012 13199.90 -0.01 -879.16 0.01
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.
18MF13 quality flag:2 Type: 8:5EEE CENTAURR 8:5EEE axisobj 41.072 41.165 41.000 ecceobj 0.252 0.266 0.239 incobj 3.149 3.148 3.150 qmin 30.527 30.045 31.007 qmax 52.437 52.870 51.960 amean 41.191 41.190 41.191 amin 40.731 40.754 40.743 amax 41.708 41.727 41.703 emean 0.245 0.259 0.233 emin 0.233 0.247 0.220 emax 0.257 0.269 0.246 imean 1.464 1.141 1.431 imin 0.498 0.670 0.440 imax 2.677 1.591 2.419 excite_mean 0.247 0.259 0.235 fracstop 1.000 0.082 1.000 cjmean 2.997 2.990 3.004 libcent 0 181.0 -180.0 179.2 libamp 0 80.9 -180.0 84.6 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 201.7 328.2 180.6 kozaiamp 179.8 16.1 180.0