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: 13RO156
# Created Mon Apr 28 01:09:38 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 18 observations of 18
# Arc: 5.16y
# First observation: 2013/09/08
# Last observation: 2018/11/07
# Chi-squared of fit: 12.32 DOF: 30 RMS: 0.15
# Min/Max residuals: -0.37 0.26
# Exact a, adot, b, bdot, g, gdot:
1.703468E-05 2.446104E-02 -1.437300E-06 -4.024352E-05 2.467512E-02 -1.345658E-04
# Covariance matrix:
3.3844E-13 -1.5748E-13 -1.0519E-16 3.2262E-16 1.6877E-13 -9.0374E-13
-1.5748E-13 5.4621E-13 6.6785E-16 -1.2760E-15 1.5707E-13 5.3336E-12
-1.0519E-16 6.6785E-16 2.6069E-13 -6.7340E-14 2.3406E-16 6.8411E-15
3.2262E-16 -1.2760E-15 -6.7340E-14 2.5286E-14 -6.3722E-17 -1.3033E-14
1.6877E-13 1.5707E-13 2.3406E-16 -6.3722E-17 6.6509E-13 1.6686E-12
-9.0374E-13 5.3336E-12 6.8411E-15 -1.3033E-14 1.6686E-12 5.4615E-11
# lat0 lon0 xBary yBary zBary JD0
1.386618 -3.476424 0.195095 0.024025 -0.989083 2456543.680878
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 339.81259 +/- 0.468
Argument of Peri: 115.09731 +/- 0.505
Long of Asc Node: 262.77962 +/- 0.016
Inclination: 1.35598 +/- 0.000
Eccentricity: 0.03466867 +/- 0.0001
Semi-Major Axis: 42.90537124 +/- 0.0058
Time of Perihelion: 2462300.8083 +/- 135.0
Perihelion: 41.41789922 +/- 0.0077
Aphelion: 44.39284326 +/- 0.0080
Period (y) 281.0449 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.41571732 +/- 0.0013
Ecliptic Y -2.70829580 +/- 0.0001
Ecliptic Z 0.98062606 +/- 0.0000
Ecliptic XDOT 0.00014361 +/- 0.0000
Ecliptic YDOT 0.00270886 +/- 0.0000
Ecliptic ZDOT -0.00000469 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.51576549 +/- 0.0013
Geocenter to KBO 40.52668940 +/- 0.0013
# Hcoef: 7.58
The following table shows the complete astrometric record for 13RO156. 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 (13RO156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.18010 23 45 02.198 -00 06 34.26 24.3g 13RO156 W84 C~52RM 2013 09 30.12657 23 43 24.463 -00 17 09.73 24.1r 13RO156 W84 C~52RM 2013 09 30.13709 23 43 24.419 -00 17 10.02 23.4i 13RO156 W84 C~52RM 2013 10 13.06383 23 42 29.983 -00 23 12.78 23.3z 13RO156 W84 C~52RM 2013 10 13.07864 23 42 29.906 -00 23 13.19 23.8i 13RO156 W84 C~52RM 2014 10 02.25420 23 48 24.788 +00 15 09.76 23.0r 13RO156 W84 C~52RM 2016 08 31.25387 00 01 00.395 +01 36 27.56 23.8i 13RO156 W84 C~52RM 2016 09 11.23736 00 00 13.598 +01 31 29.79 22.3z 13RO156 W84 C~52RM 2016 10 06.06901 23 58 23.005 +01 19 28.48 23.5i 13RO156 W84 C~52RM 2017 08 18.29952 00 06 58.528 +02 14 40.79 24.5r 13RO156 W84 C~52RM 2017 08 18.30090 00 06 58.520 +02 14 40.75 23.4i 13RO156 W84 C~52RM 2017 09 17.29361 00 04 56.91 +02 01 53.5 23.8i 13RO156 T09 C~7bI8 2017 09 17.33440 00 04 56.73 +02 01 52.3 23.9i 13RO156 T09 C~7bI8 2017 09 17.36119 00 04 56.61 +02 01 51.5 23.9i 13RO156 T09 C~7bI9 2017 09 27.16214 00 04 12.582 +01 57 05.68 22.7z 13RO156 W84 C~52RM 2017 09 27.18416 00 04 12.462 +01 57 04.78 22.4i 13RO156 W84 C~52RM 2017 11 17.03035 00 01 05.351 +01 35 51.67 23.9r 13RO156 W84 C~52RM 2018 11 07.14231 00 06 39.283 +02 11 58.84 24.3r 13RO156 W84 C~52RM
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 -0.37 0.00 0.16
2 0.0601 0.00 0.02 0.00 0.02
3 0.0601 0.00 0.06 0.00 0.03
4 0.0955 0.00 0.26 0.00 -0.13
5 0.0955 0.00 0.01 0.00 -0.14
6 1.0652 0.00 0.07 0.00 0.05
7 2.9790 0.00 0.20 0.00 -0.08
8 3.0091 0.00 -0.11 0.00 -0.26
9 3.0770 0.00 -0.07 0.00 0.20
10 3.9428 0.00 0.21 0.00 -0.04
11 3.9428 0.00 0.16 0.00 -0.05
12 4.0250 0.00 -0.16 0.00 0.13
13 4.0251 0.00 -0.10 0.00 0.10
14 4.0251 0.00 -0.07 0.00 0.07
15 4.0520 0.00 0.10 0.00 0.16
16 4.0520 0.00 -0.19 0.00 -0.09
17 4.1912 0.00 0.05 0.00 0.12
18 5.1635 0.00 0.03 0.00 -0.22
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.
13RO156 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.139 43.139 43.139 ecceobj 0.040 0.040 0.040 incobj 1.357 1.357 1.357 qmin 40.243 40.249 40.238 qmax 45.813 45.817 45.807 amean 42.956 42.956 42.956 amin 42.628 42.629 42.627 amax 43.294 43.296 43.294 emean 0.042 0.042 0.042 emin 0.021 0.021 0.021 emax 0.059 0.059 0.059 imean 3.421 3.421 3.421 imin 2.327 2.327 2.327 imax 4.195 4.195 4.195 excite_mean 0.073 0.073 0.073 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 181.7 181.7 181.8 kozaiamp 179.9 180.0 179.9