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: 13RB156 # Created Fri Nov 22 02:09:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 9 observations of 9 # Arc: 5.18y # First observation: 2013/09/03 # Last observation: 2018/11/07 # Chi-squared of fit: 7.68 DOF: 12 RMS: 0.16 # Min/Max residuals: -0.34 0.28 # Exact a, adot, b, bdot, g, gdot: 1.388122E-05 2.343723E-02 -4.398085E-06 -6.449501E-03 2.517057E-02 -3.027961E-03 # Covariance matrix: 4.9856E-13 -2.8743E-13 -1.7435E-14 -1.5561E-14 6.3467E-13 -2.0285E-12 -2.8743E-13 5.8908E-13 1.8939E-14 -1.2956E-13 4.2296E-13 5.0091E-12 -1.7435E-14 1.8939E-14 3.7998E-13 -9.1353E-14 -1.3737E-13 2.3077E-13 -1.5561E-14 -1.2956E-13 -9.1353E-14 1.4182E-13 -9.4875E-13 -8.7942E-13 6.3467E-13 4.2296E-13 -1.3737E-13 -9.4875E-13 1.1275E-11 -1.5702E-13 -2.0285E-12 5.0091E-12 2.3077E-13 -8.7942E-13 -1.5702E-13 4.7640E-11 # lat0 lon0 xBary yBary zBary JD0 -37.145731 -69.650477 -0.775121 -0.390801 -0.515999 2456538.642798 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 256.69409 +/- 0.236 Argument of Peri: 6.95183 +/- 0.176 Long of Asc Node: 45.19933 +/- 0.001 Inclination: 38.97939 +/- 0.000 Eccentricity: 0.11482757 +/- 0.0003 Semi-Major Axis: 38.76592388 +/- 0.0189 Time of Perihelion: 2481837.0891 +/- 73.7 Perihelion: 34.31452720 +/- 0.0201 Aphelion: 43.21732055 +/- 0.0238 Period (y) 241.3701 +/- 0.18 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.96450009 +/- 0.0015 Ecliptic Y -30.02615114 +/- 0.0040 Ecliptic Z -23.99022977 +/- 0.0032 Ecliptic XDOT 0.00214542 +/- 0.0000 Ecliptic YDOT 0.00152873 +/- 0.0000 Ecliptic ZDOT -0.00036017 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.25239671 +/- 0.0035 Geocenter to KBO 39.72905045 +/- 0.0053 # Hcoef: 7.55
The following table shows the complete astrometric record for 13RB156. 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 (13RB156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.14202 20 07 33.711 -58 21 10.78 23.8r 13RB156 W84 C~52RL 2013 09 06.13056 20 07 14.940 -58 19 50.84 23.4i 13RB156 W84 C~52RL 2013 09 23.00443 20 05 53.504 -58 10 06.57 23.4r 13RB156 W84 C~52RL 2014 09 12.01746 20 17 17.248 -58 15 48.52 23.7r 13RB156 W84 C~52RL 2015 09 10.99082 20 28 01.374 -58 11 53.30 23.4r 13RB156 W84 C~52RL 2016 09 23.02852 20 37 27.542 -57 57 08.90 23.8r 13RB156 W84 C~52RL 2017 09 26.03102 20 47 46.167 -57 44 30.90 23.4i 13RB156 W84 C~52RL 2017 10 10.07367 20 46 57.984 -57 34 20.53 23.8r 13RB156 W84 C~52RL 2018 11 07.08203 20 57 14.436 -56 54 53.58 23.3r 13RB156 W84 C~52RL
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 0.28 0.00 0.11
2 0.0082 0.00 0.14 0.00 0.17
3 0.0544 0.00 -0.32 0.00 -0.34
4 1.0236 0.00 -0.15 0.00 -0.00
5 2.0201 0.00 0.02 0.00 0.06
6 3.0551 0.00 0.14 0.00 0.13
7 4.0627 0.00 -0.05 0.00 -0.16
8 4.1011 0.00 0.01 0.00 0.01
9 5.1771 0.00 -0.02 0.00 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.
13RB156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.850 38.850 38.851 ecceobj 0.116 0.116 0.116 incobj 39.036 39.036 39.036 qmin 33.797 33.888 33.773 qmax 44.406 44.284 44.446 amean 38.948 38.922 38.946 amin 38.639 38.620 38.632 amax 39.320 39.280 39.300 emean 0.116 0.113 0.116 emin 0.102 0.099 0.102 emax 0.131 0.128 0.131 imean 38.081 38.098 38.087 imin 37.760 37.779 37.765 imax 38.381 38.419 38.397 excite_mean 0.628 0.627 0.628 fracstop 1.000 1.000 1.000 cjmean 2.551 2.551 2.551 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 164.9 164.8 164.3 kozaiamp 179.9 180.0 180.0