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: 13RO124
# Created Sun Dec 22 02:09:33 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 30 observations of 30
# Arc: 6.94y
# First observation: 2013/09/02
# Last observation: 2020/08/12
# Chi-squared of fit: 12.75 DOF: 54 RMS: 0.12
# Min/Max residuals: -0.41 0.37
# Exact a, adot, b, bdot, g, gdot:
1.472963E-05 2.292894E-02 -6.438081E-06 -1.047733E-02 2.571774E-02 -1.654089E-03
# Covariance matrix:
3.5325E-13 -6.8533E-14 -1.0308E-15 1.3034E-15 2.2123E-13 -2.4600E-14
-6.8533E-14 5.6647E-14 1.7528E-14 -2.0917E-14 2.0059E-14 3.3501E-13
-1.0308E-15 1.7528E-14 1.6638E-13 -4.7085E-14 2.3414E-14 1.4822E-13
1.3034E-15 -2.0917E-14 -4.7085E-14 2.4028E-14 -2.7842E-14 -1.7679E-13
2.2123E-13 2.0059E-14 2.3414E-14 -2.7842E-14 3.2929E-13 4.4086E-13
-2.4600E-14 3.3501E-13 1.4822E-13 -1.7679E-13 4.4086E-13 2.8270E-12
# lat0 lon0 xBary yBary zBary JD0
0.477588 0.982612 0.367764 0.007925 -0.940724 2456537.758808
# Heliocentric elements and errors
Epoch: 2456538.5000 = 2013/09/03
Mean Anomaly: 254.87168 +/- 0.059
Argument of Peri: 292.66601 +/- 0.049
Long of Asc Node: 181.47660 +/- 0.000
Inclination: 24.57930 +/- 0.000
Eccentricity: 0.08060556 +/- 0.0001
Semi-Major Axis: 38.78309291 +/- 0.0033
Time of Perihelion: 2482300.4847 +/- 16.6
Perihelion: 35.65695982 +/- 0.0038
Aphelion: 41.90922600 +/- 0.0043
Period (y) 241.5304 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.82326787 +/- 0.0009
Ecliptic Y 0.31826706 +/- 0.0000
Ecliptic Z 0.32385238 +/- 0.0000
Ecliptic XDOT -0.00021481 +/- 0.0000
Ecliptic YDOT 0.00243665 +/- 0.0000
Ecliptic ZDOT -0.00111668 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.82590215 +/- 0.0009
Geocenter to KBO 38.88373434 +/- 0.0009
# Hcoef: 7.32
The following table shows the complete astrometric record for 13RO124. 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 (13RO124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.25803 00 02 50.778 +00 49 44.51 24.6g 13RO124 W84 C~4yQs 2013 09 11.30133 00 02 11.15 +00 44 30.7 23.9g 13RO124 W84 C~3clA 2013 10 12.11906 23 59 51.131 +00 25 59.59 23.0i 13RO124 W84 C~4yQs 2013 10 13.10922 23 59 46.866 +00 25 25.19 23.6i 13RO124 W84 C~4yQs 2013 10 28.07069 23 58 47.487 +00 17 17.73 23.3r 13RO124 W84 C~4yQs 2013 11 22.06260 23 57 38.869 +00 06 59.99 23.3r 13RO124 W84 C~4yQs 2013 11 23.08855 23 57 37.088 +00 06 41.42 23.3r 13RO124 W84 C~4yQs 2014 10 23.20146 00 04 52.536 +00 18 09.95 23.0i 13RO124 W84 C~4yQs 2014 11 14.09991 00 03 39.842 +00 08 01.90 22.8z 13RO124 W84 C~4yQs 2016 09 10.32821 00 19 39.212 +00 39 32.04 22.7i 13RO124 W84 C~4yQs 2016 09 10.32957 00 19 39.206 +00 39 31.84 23.0r 13RO124 W84 C~4yQs 2016 09 10.33095 00 19 39.198 +00 39 31.84 23.3g 13RO124 W84 C~4yQs 2016 10 02.17611 00 17 59.083 +00 26 16.04 23.2i 13RO124 W84 C~4yQs 2016 10 02.17749 00 17 59.072 +00 26 16.19 23.4r 13RO124 W84 C~4yQs 2016 10 02.17886 00 17 59.081 +00 26 16.12 23.4g 13RO124 W84 C~4yQs 2016 11 18.06482 00 14 58.905 +00 02 38.78 23.3i 13RO124 W84 C~4yQs 2016 11 18.06619 00 14 58.907 +00 02 38.91 23.4r 13RO124 W84 C~4yQs 2016 11 18.06758 00 14 58.896 +00 02 38.74 24.1g 13RO124 W84 C~4yQs 2016 12 05.09585 00 14 28.824 -00 01 47.92 22.9z 13RO124 W84 C~4yQs 2017 08 27.38953 00 26 27.57 +00 45 43.9 23.3r 13RO124 T09 C~7mvJ 2017 08 27.42103 00 26 27.45 +00 45 43.1 22.9r 13RO124 T09 C~7mvJ 2017 08 27.42312 00 26 27.42 +00 45 42.9 23.0r 13RO124 T09 C~7mvJ 2017 09 27.24362 00 24 14.065 +00 27 31.55 23.1i 13RO124 W84 C~4yQs 2017 09 27.24501 00 24 14.038 +00 27 31.66 23.3r 13RO124 W84 C~4yQs 2017 09 27.24640 00 24 14.044 +00 27 31.44 23.4g 13RO124 W84 C~4yQs 2017 10 27.16579 00 22 00.453 +00 10 18.09 22.8z 13RO124 W84 C~4yQs 2018 09 09.32865 00 31 28.361 +00 36 39.39 23.2r 13RO124 W84 C~4yQs 2018 09 09.33003 00 31 28.359 +00 36 39.24 22.8i 13RO124 W84 C~4yQs 2020 08 12.371510 00 44 50.387 +00 47 32.61 23.2G 13RO124 G37 C~441U 2020 08 12.442440 00 44 50.208 +00 47 30.72 13RO124 G37 C~441U
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 -0.12 0.00 -0.05
2 0.0248 0.00 0.05 0.00 0.14
3 0.1091 0.00 0.07 0.00 0.04
4 0.1118 0.00 -0.04 0.00 -0.04
5 0.1528 0.00 0.08 0.00 -0.10
6 0.2212 0.00 -0.02 0.00 -0.02
7 0.2240 0.00 -0.07 0.00 0.03
8 1.1388 0.00 0.11 0.00 -0.06
9 1.1987 0.00 -0.06 0.00 0.12
10 3.0228 0.00 0.07 0.00 0.06
11 3.0228 0.00 0.07 0.00 -0.09
12 3.0228 0.00 0.04 0.00 -0.04
13 3.0826 0.00 0.03 0.00 -0.21
14 3.0826 0.00 -0.04 0.00 -0.01
15 3.0826 0.00 0.19 0.00 -0.03
16 3.2110 0.00 0.02 0.00 -0.12
17 3.2110 0.00 0.11 0.00 0.04
18 3.2110 0.00 -0.00 0.00 -0.10
19 3.2576 0.00 -0.07 0.00 0.00
20 3.9839 0.00 -0.08 0.00 0.15
21 3.9840 0.00 -0.08 0.00 0.37
22 3.9840 0.00 -0.41 0.00 0.24
23 4.0684 0.00 0.22 0.00 -0.09
24 4.0684 0.00 -0.09 0.00 0.07
25 4.0684 0.00 0.10 0.00 -0.10
26 4.1503 0.00 -0.08 0.00 0.07
27 5.0187 0.00 0.05 0.00 -0.02
28 5.0187 0.00 0.11 0.00 -0.12
29 6.9435 0.00 -0.01 0.00 -0.05
30 6.9437 0.00 0.02 0.00 -0.02
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.
13RO124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.946 38.946 38.946 ecceobj 0.078 0.078 0.078 incobj 24.507 24.507 24.507 qmin 35.112 35.000 35.023 qmax 42.671 42.779 42.706 amean 38.775 38.777 38.778 amin 38.478 38.462 38.469 amax 39.095 39.088 39.106 emean 0.076 0.078 0.078 emin 0.064 0.064 0.062 emax 0.093 0.095 0.094 imean 24.733 24.722 24.723 imin 24.065 24.077 24.054 imax 25.395 25.390 25.388 excite_mean 0.425 0.425 0.425 fracstop 1.000 1.000 1.000 cjmean 2.832 2.832 2.832 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 182.1 183.8 177.4 kozaiamp 180.0 179.9 180.0