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: 13RO158
# Created Thu May 2 01:15:03 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 9.99y
# First observation: 2013/09/11
# Last observation: 2023/09/06
# Chi-squared of fit: 19.02 DOF: 50 RMS: 0.15
# Min/Max residuals: -0.30 0.56
# Exact a, adot, b, bdot, g, gdot:
1.289806E-05 2.788022E-02 -5.483098E-06 -8.471255E-03 2.741167E-02 3.466090E-05
# Covariance matrix:
2.1885E-13 -9.2339E-14 -2.5585E-14 2.0934E-14 6.7076E-14 -2.3931E-13
-9.2339E-14 5.9709E-14 1.9744E-14 -1.5694E-14 -2.0541E-14 1.7889E-13
-2.5585E-14 1.9744E-14 1.1976E-13 -2.5419E-14 7.4900E-16 6.7704E-14
2.0934E-14 -1.5694E-14 -2.5419E-14 1.1224E-14 2.7905E-15 -5.3302E-14
6.7076E-14 -2.0541E-14 7.4900E-16 2.7905E-15 2.2870E-13 -3.5688E-14
-2.3931E-13 1.7889E-13 6.7704E-14 -5.3302E-14 -3.5688E-14 6.0700E-13
# lat0 lon0 xBary yBary zBary JD0
7.050114 -12.496324 -0.014765 0.123740 -0.999778 2456546.743197
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 0.47298 +/- 0.020
Argument of Peri: 156.97085 +/- 0.023
Long of Asc Node: 188.99167 +/- 0.000
Inclination: 18.20430 +/- 0.000
Eccentricity: 0.07089833 +/- 0.0001
Semi-Major Axis: 40.33991035 +/- 0.0033
Time of Perihelion: 2456423.5456 +/- 5.1
Perihelion: 37.47987826 +/- 0.0040
Aphelion: 43.19994245 +/- 0.0043
Period (y) 256.2186 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 36.33385298 +/- 0.0006
Ecliptic Y -8.03456725 +/- 0.0001
Ecliptic Z 4.47734599 +/- 0.0001
Ecliptic XDOT 0.00070110 +/- 0.0000
Ecliptic YDOT 0.00269430 +/- 0.0000
Ecliptic ZDOT -0.00083914 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.47999121 +/- 0.0006
Geocenter to KBO 36.48085009 +/- 0.0006
# Hcoef: 7.54
The following table shows the complete astrometric record for 13RO158. 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 (13RO158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.242419 23 03 03.11 +01 33 29.1 23.6g 13RO158 W84 C~55Nc 2013 09 13.188414 23 02 53.68 +01 32 18.1 23.1i 13RO158 W84 C~55Nc 2013 09 13.189792 23 02 53.68 +01 32 18.0 22.5z 13RO158 W84 C~55Nc 2013 09 29.18116 23 01 39.298 +01 22 23.36 22.6r 13RO158 W84 C~55Nc 2013 09 29.189225 23 01 39.24 +01 22 23.2 22.9i 13RO158 W84 C~55Nc 2013 10 12.062037 23 00 46.33 +01 14 30.1 22.6i 13RO158 W84 C~55Nc 2013 10 12.063414 23 00 46.32 +01 14 30.0 22.6z 13RO158 W84 C~55Nc 2013 10 28.020289 22 59 54.97 +01 05 32.5 23.3r 13RO158 W84 C~55Nc 2014 10 29.12834 23 06 27.072 +01 15 21.65 21.5Y 13RO158 W84 C~55Nc 2015 11 08.03743 23 12 37.982 +01 20 48.71 23.5r 13RO158 W84 C~55Nc 2015 11 08.03880 23 12 37.972 +01 20 48.67 24.5g 13RO158 W84 C~55Nc 2016 08 01.47607 23 25 51.33 +02 23 49.4 23.3z 13RO158 T09 C~7ufo 2016 08 01.47877 23 25 51.33 +02 23 49.4 23.7z 13RO158 T09 C~7ufo 2016 08 01.50041 23 25 51.24 +02 23 48.9 23.4z 13RO158 T09 C~7ufo 2016 08 01.58461 23 25 50.95 +02 23 47.2 23.1z 13RO158 T09 C~7ufo 2016 08 09.44305 23 25 22.74 +02 20 53.6 23.5y 13RO158 T09 C~7ufo 2016 08 09.46558 23 25 22.66 +02 20 53.1 23.1y 13RO158 T09 C~7ufo 2016 08 09.51515 23 25 22.46 +02 20 51.9 23.3y 13RO158 T09 C~7ufo 2016 09 07.38519 23 23 14.34 +02 06 16.0 23.9r 13RO158 T09 C~7gpV 2016 09 07.42070 23 23 14.19 +02 06 14.6 23.4r 13RO158 T09 C~7gpV 2016 09 07.45624 23 23 14.02 +02 06 13.3 23.5r 13RO158 T09 C~7gpV 2016 10 05.135602 23 21 03.69 +01 49 11.7 23.1r 13RO158 W84 C~55Nc 2016 10 05.136979 23 21 03.68 +01 49 11.5 22.7i 13RO158 W84 C~55Nc 2016 11 05.036273 23 19 16.11 +01 31 53.1 22.5z 13RO158 W84 C~55Nc 2017 11 09.03234 23 25 40.987 +01 40 05.97 23.4r 13RO158 W84 C~55Nc 2023 09 06.393730 00 09 47.443 +03 15 13.99 23.3G 13RO158 G37 C~7Ax8 2023 09 06.433340 00 09 47.263 +03 15 12.73 13RO158 G37 C~7Ax8 2023 09 06.470570 00 09 47.110 +03 15 11.55 13RO158 G37 C~7Ax8
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 0.56 0.00 0.37
2 0.0053 0.00 -0.09 0.00 0.05
3 0.0053 0.00 0.01 0.00 0.00
4 0.0491 0.00 0.08 0.00 -0.19
5 0.0491 0.00 -0.25 0.00 -0.05
6 0.0844 0.00 -0.05 0.00 -0.06
7 0.0844 0.00 -0.12 0.00 -0.11
8 0.1281 0.00 -0.08 0.00 -0.03
9 1.1304 0.00 -0.12 0.00 0.06
10 2.1569 0.00 0.22 0.00 -0.01
11 2.1569 0.00 0.11 0.00 -0.01
12 2.8891 0.00 -0.00 0.00 -0.02
13 2.8891 0.00 0.14 0.00 0.04
14 2.8891 0.00 -0.10 0.00 -0.03
15 2.8894 0.00 -0.12 0.00 -0.05
16 2.9109 0.00 -0.09 0.00 0.08
17 2.9109 0.00 0.04 0.00 0.13
18 2.9111 0.00 -0.05 0.00 0.13
19 2.9901 0.00 -0.30 0.00 0.11
20 2.9902 0.00 0.06 0.00 -0.04
21 2.9903 0.00 0.13 0.00 -0.09
22 3.0661 0.00 0.13 0.00 -0.09
23 3.0661 0.00 0.07 0.00 -0.24
24 3.1507 0.00 -0.18 0.00 0.20
25 4.1610 0.00 0.16 0.00 -0.15
26 9.9854 0.00 -0.10 0.00 -0.06
27 9.9855 0.00 -0.09 0.00 0.01
28 9.9856 0.00 0.16 0.00 0.08
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.
13RO158 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.529 40.529 40.529 ecceobj 0.076 0.076 0.076 incobj 18.165 18.165 18.165 qmin 36.699 36.693 36.688 qmax 44.403 44.408 44.433 amean 40.424 40.425 40.424 amin 40.097 40.096 40.099 amax 40.768 40.772 40.775 emean 0.072 0.073 0.073 emin 0.058 0.056 0.059 emax 0.090 0.090 0.090 imean 18.737 18.731 18.726 imin 17.954 17.955 17.952 imax 19.503 19.504 19.501 excite_mean 0.329 0.329 0.329 fracstop 1.000 1.000 1.000 cjmean 2.933 2.933 2.933 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 183.6 184.5 184.5 kozaiamp 180.0 180.0 180.0