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: 13MB12
# Created Sun Dec 22 02:09:29 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 54 observations of 54
# Arc: 7.34y
# First observation: 2013/06/20
# Last observation: 2020/10/22
# Chi-squared of fit: 26.36 DOF: 102 RMS: 0.12
# Min/Max residuals: -0.38 0.45
# Exact a, adot, b, bdot, g, gdot:
2.707996E-05 1.049832E-01 -7.583771E-06 -2.517812E-02 6.348507E-02 2.669035E-02
# Covariance matrix:
1.7770E-13 -4.2475E-14 -8.1704E-15 1.3072E-14 1.0647E-13 -7.2146E-14
-4.2475E-14 8.3740E-14 9.3134E-15 -2.2133E-14 9.1451E-15 1.2272E-13
-8.1704E-15 9.3134E-15 9.8177E-14 -1.6935E-14 -6.5172E-15 1.6129E-14
1.3072E-14 -2.2133E-14 -1.6935E-14 9.2939E-15 5.6761E-15 -3.5738E-14
1.0647E-13 9.1451E-15 -6.5172E-15 5.6761E-15 1.7068E-13 -3.0948E-14
-7.2146E-14 1.2272E-13 1.6129E-14 -3.5738E-14 -3.0948E-14 1.9803E-13
# lat0 lon0 xBary yBary zBary JD0
5.372419 -39.744608 0.792293 0.059967 -0.637552 2456464.079148
# Heliocentric elements and errors
Epoch: 2456464.5000 = 2013/06/21
Mean Anomaly: 23.75062 +/- 0.002
Argument of Peri: 110.97749 +/- 0.002
Long of Asc Node: 158.68015 +/- 0.000
Inclination: 14.01613 +/- 0.000
Eccentricity: 0.33055401 +/- 0.0000
Semi-Major Axis: 22.55361012 +/- 0.0009
Time of Perihelion: 2453883.4589 +/- 0.3
Perihelion: 15.09842375 +/- 0.0008
Aphelion: 30.00879649 +/- 0.0013
Period (y) 107.1106 +/- 0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.04464796 +/- 0.0001
Ecliptic Y -11.04266063 +/- 0.0001
Ecliptic Z 1.47475615 +/- 0.0000
Ecliptic XDOT 0.00384776 +/- 0.0000
Ecliptic YDOT 0.00268307 +/- 0.0000
Ecliptic ZDOT -0.00097315 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 16.40689024 +/- 0.0001
Geocenter to KBO 15.75165911 +/- 0.0001
# Hcoef: 10.24
The following table shows the complete astrometric record for 13MB12. 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 (13MB12) followed by the observatory code and reference code for the source of the astrometry.
2013 06 20.57837 21 23 45.208 -09 37 52.24 22.9w 13MB12 F51 C~1w3u 2013 06 20.59141 21 23 45.186 -09 37 52.64 22.6w 13MB12 F51 C~1w3u 2013 07 15.46593 21 20 45.184 -09 52 49.26 22.5w 13MB12 F51 C~1w3u 2013 07 15.48029 21 20 45.081 -09 52 50.06 22.6w 13MB12 F51 C~1w3u 2013 07 15.49460 21 20 44.943 -09 52 50.70 22.6w 13MB12 F51 C~1w3u 2013 07 15.50890 21 20 44.826 -09 52 51.65 22.5w 13MB12 F51 C~1w3u 2013 08 08.44678 21 16 47.450 -10 15 24.04 22.2w 13MB12 F51 C~1w3u 2013 08 08.46083 21 16 47.318 -10 15 25.37 22.5w 13MB12 F51 C~1w3u 2013 08 08.47485 21 16 47.168 -10 15 25.73 22.2w 13MB12 F51 C~1w3u 2013 08 15.37250 21 15 35.515 -10 22 47.70 22.1i 13MB12 F51 C~1w3u 2013 08 15.38455 21 15 35.376 -10 22 48.70 21.8i 13MB12 F51 C~1w3u 2013 08 30.33252 21 13 06.801 -10 39 09.38 22.4w 13MB12 F51 C~1w3u 2013 08 30.34653 21 13 06.672 -10 39 10.43 22.7w 13MB12 F51 C~1w3u 2013 08 30.36053 21 13 06.549 -10 39 11.36 22.6w 13MB12 F51 C~1w3u 2013 08 30.37454 21 13 06.402 -10 39 12.19 22.3w 13MB12 F51 C~1w3u 2016 08 12.201111 22 27 40.54 -08 29 40.8 13MB12 W84 C~4qKL 2016 08 12.202361 22 27 40.52 -08 29 41.0 13MB12 W84 C~4qKL 2017 11 12.022280 22 38 32.74 -09 08 43.4 13MB12 W84 C~4qKL 2017 11 12.024005 22 38 32.72 -09 08 43.2 13MB12 W84 C~4qKL 2018 06 14.595694 23 12 39.65 -06 23 45.0 13MB12 568 C~4qKL 2018 06 14.597524 23 12 39.65 -06 23 45.1 13MB12 568 C~4qKL 2018 06 14.599421 23 12 39.64 -06 23 45.2 13MB12 568 C~4qKL 2018 10 06.992859 23 01 14.78 -08 02 39.1 13MB12 W84 C~4qKL 2018 10 06.994606 23 01 14.74 -08 02 39.4 13MB12 W84 C~4qKL 2020 10 22.00865 23 36 55.14 -06 43 33.8 23.8V 13MB12 W84 C~4qKL 2020 10 22.01037 23 36 55.14 -06 43 33.9 23.9V 13MB12 W84 C~4qKL 2020 10 22.01459 23 36 55.12 -06 43 34.1 13MB12 W84 C~4qKL 2020 10 22.02322 23 36 55.05 -06 43 34.5 13MB12 W84 C~4qKL 2020 10 22.03010 23 36 55.00 -06 43 34.7 13MB12 W84 C~4qKL 2020 10 22.03699 23 36 54.96 -06 43 35.2 13MB12 W84 C~4qKL 2020 10 22.03871 23 36 54.94 -06 43 35.2 13MB12 W84 C~4qKL 2020 10 22.04387 23 36 54.91 -06 43 35.4 13MB12 W84 C~4qKL 2020 10 22.05763 23 36 54.82 -06 43 36.1 13MB12 W84 C~4qKL 2020 10 22.06108 23 36 54.80 -06 43 36.1 13MB12 W84 C~4qKL 2020 10 22.06454 23 36 54.77 -06 43 36.3 13MB12 W84 C~4qKL 2020 10 22.06628 23 36 54.76 -06 43 36.5 13MB12 W84 C~4qKL 2020 10 22.06971 23 36 54.74 -06 43 36.6 13MB12 W84 C~4qKL 2020 10 22.08864 23 36 54.61 -06 43 37.6 13MB12 W84 C~4qKL 2020 10 22.09208 23 36 54.59 -06 43 37.6 13MB12 W84 C~4qKL 2020 10 22.09774 23 36 54.55 -06 43 37.8 13MB12 W84 C~4qKL 2020 10 22.09946 23 36 54.54 -06 43 37.9 13MB12 W84 C~4qKL 2020 10 22.10633 23 36 54.49 -06 43 38.2 13MB12 W84 C~4qKL 2020 10 22.11323 23 36 54.44 -06 43 38.5 13MB12 W84 C~4qKL 2020 10 22.11667 23 36 54.42 -06 43 38.7 13MB12 W84 C~4qKL 2020 10 22.12011 23 36 54.40 -06 43 38.8 13MB12 W84 C~4qKL 2020 10 22.12182 23 36 54.39 -06 43 38.9 13MB12 W84 C~4qKL 2020 10 22.12525 23 36 54.36 -06 43 39.0 13MB12 W84 C~4qKL 2020 10 22.12699 23 36 54.35 -06 43 39.1 13MB12 W84 C~4qKL 2020 10 22.14421 23 36 54.23 -06 43 39.9 13MB12 W84 C~4qKL 2020 10 22.14937 23 36 54.20 -06 43 40.2 13MB12 W84 C~4qKL 2020 10 22.15453 23 36 54.16 -06 43 40.4 13MB12 W84 C~4qKL 2020 10 22.16141 23 36 54.12 -06 43 40.8 13MB12 W84 C~4qKL 2020 10 22.16828 23 36 54.08 -06 43 41.0 13MB12 W84 C~4qKL 2020 10 22.17172 23 36 54.05 -06 43 41.2 13MB12 W84 C~4qKL
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 -0.27 0.00 0.20
2 0.0000 0.00 0.45 0.00 0.09
3 0.0681 0.00 -0.27 0.00 0.10
4 0.0682 0.00 0.17 0.00 -0.00
5 0.0682 0.00 0.07 0.00 0.05
6 0.0683 0.00 0.30 0.00 -0.21
7 0.1338 0.00 -0.18 0.00 0.16
8 0.1338 0.00 0.08 0.00 -0.28
9 0.1339 0.00 0.07 0.00 0.24
10 0.1528 0.00 0.13 0.00 0.18
11 0.1528 0.00 -0.05 0.00 -0.04
12 0.1937 0.00 -0.20 0.00 -0.01
13 0.1938 0.00 -0.12 0.00 -0.14
14 0.1938 0.00 0.06 0.00 -0.15
15 0.1938 0.00 -0.13 0.00 -0.07
16 3.1448 0.00 0.02 0.00 0.05
17 3.1448 0.00 -0.11 0.00 -0.07
18 4.3955 0.00 0.39 0.00 -0.07
19 4.3955 0.00 0.10 0.00 0.15
20 4.9829 0.00 0.06 0.00 0.03
21 4.9829 0.00 0.01 0.00 -0.06
22 4.9829 0.00 -0.19 0.00 -0.16
23 5.2961 0.00 0.02 0.00 0.01
24 5.2961 0.00 -0.38 0.00 -0.19
25 7.3386 0.00 -0.15 0.00 0.04
26 7.3386 0.00 0.02 0.00 0.01
27 7.3386 0.00 0.15 0.00 0.00
28 7.3387 0.00 -0.03 0.00 -0.01
29 7.3387 0.00 -0.08 0.00 0.10
30 7.3387 0.00 0.02 0.00 -0.09
31 7.3387 0.00 -0.11 0.00 -0.01
32 7.3387 0.00 -0.03 0.00 0.02
33 7.3388 0.00 0.01 0.00 -0.06
34 7.3388 0.00 0.06 0.00 0.10
35 7.3388 0.00 -0.04 0.00 0.06
36 7.3388 0.00 -0.01 0.00 -0.07
37 7.3388 0.00 0.03 0.00 -0.01
38 7.3388 0.00 0.00 0.00 -0.16
39 7.3388 0.00 0.05 0.00 -0.01
40 7.3389 0.00 0.02 0.00 0.05
41 7.3389 0.00 0.05 0.00 0.03
42 7.3389 0.00 -0.01 0.00 0.03
43 7.3389 0.00 -0.06 0.00 0.04
44 7.3389 0.00 -0.01 0.00 -0.00
45 7.3389 0.00 0.04 0.00 0.05
46 7.3389 0.00 0.06 0.00 0.03
47 7.3389 0.00 -0.04 0.00 0.08
48 7.3389 0.00 -0.01 0.00 0.06
49 7.3390 0.00 -0.07 0.00 0.03
50 7.3390 0.00 -0.00 0.00 -0.04
51 7.3390 0.00 -0.08 0.00 -0.01
52 7.3390 0.00 0.02 0.00 -0.10
53 7.3391 0.00 0.11 0.00 0.01
54 7.3391 0.00 0.01 0.00 -0.04
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.
13MB12 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 22.479 22.479 22.479 ecceobj 0.329 0.329 0.329 incobj 14.018 14.018 14.018 qmin 14.802 14.836 14.869 qmax 30.878 30.329 30.682 amean 22.651 22.558 22.640 amin 22.378 22.378 22.378 amax 23.529 22.682 23.379 emean 0.330 0.331 0.329 emin 0.304 0.322 0.305 emax 0.340 0.338 0.339 imean 13.548 13.744 13.686 imin 13.083 13.083 13.083 imax 14.525 15.014 14.835 excite_mean 0.405 0.408 0.405 fracstop 0.004 0.004 0.004 cjmean 2.924 2.924 2.924 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 135.8 137.2 135.7 kozaiamp 24.2 26.3 24.2