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: 13RS155 # Created Mon Apr 28 01:09:37 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 5.19y # First observation: 2013/09/01 # Last observation: 2018/11/09 # Chi-squared of fit: 6.55 DOF: 22 RMS: 0.12 # Min/Max residuals: -0.24 0.36 # Exact a, adot, b, bdot, g, gdot: 1.441939E-05 2.106166E-02 -3.332587E-06 -4.775037E-03 2.258939E-02 -5.732599E-03 # Covariance matrix: 3.4352E-13 -1.9347E-13 -3.0917E-15 1.1430E-14 8.3058E-14 -1.3191E-12 -1.9347E-13 4.0906E-13 2.7037E-14 -1.1689E-13 9.4674E-13 3.6652E-12 -3.0917E-15 2.7037E-14 2.9460E-13 -9.6924E-14 1.6339E-13 2.0653E-13 1.1430E-14 -1.1689E-13 -9.6924E-14 1.0126E-13 -7.4346E-13 -8.6982E-13 8.3058E-14 9.4674E-13 1.6339E-13 -7.4346E-13 9.3777E-12 4.9511E-12 -1.3191E-12 3.6652E-12 2.0653E-13 -8.6982E-13 4.9511E-12 3.8726E-11 # lat0 lon0 xBary yBary zBary JD0 -32.630582 -67.226598 -0.722492 -0.380815 -0.594889 2456536.510618 # Heliocentric elements and errors Epoch: 2456536.5000 = 2013/09/01 Mean Anomaly: 307.83028 +/- 0.064 Argument of Peri: 332.57910 +/- 0.079 Long of Asc Node: 45.74063 +/- 0.001 Inclination: 34.10013 +/- 0.000 Eccentricity: 0.26549159 +/- 0.0004 Semi-Major Axis: 50.28288523 +/- 0.0330 Time of Perihelion: 2475409.6658 +/- 111.9 Perihelion: 36.93320219 +/- 0.0304 Aphelion: 63.63256827 +/- 0.0456 Period (y) 356.5648 +/- 0.35 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 15.37108427 +/- 0.0020 Ecliptic Y -34.74388474 +/- 0.0047 Ecliptic Z -23.87063265 +/- 0.0032 Ecliptic XDOT 0.00200021 +/- 0.0000 Ecliptic YDOT 0.00181429 +/- 0.0000 Ecliptic ZDOT -0.00011261 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.86903111 +/- 0.0041 Geocenter to KBO 44.26879499 +/- 0.0060 # Hcoef: 7.08
The following table shows the complete astrometric record for 13RS155. 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 (13RS155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.00984 20 12 50.795 -53 28 32.26 23.8g 13RS155 W84 C~52RK 2013 09 01.07187 20 12 50.441 -53 28 31.26 23.7r 13RS155 W84 C~52RK 2013 09 01.07324 20 12 50.434 -53 28 31.22 23.2i 13RS155 W84 C~52RK 2013 09 03.07365 20 12 39.728 -53 27 56.97 23.3i 13RS155 W84 C~52RK 2014 09 20.02233 20 19 42.644 -53 17 45.03 24.2r 13RS155 W84 C~52RK 2015 09 11.05315 20 28 42.388 -53 15 39.22 23.2i 13RS155 W84 C~52RK 2016 09 09.06913 20 37 13.354 -53 07 43.24 23.0z 13RS155 W84 C~52RK 2016 09 22.03290 20 36 14.718 -53 02 37.77 22.9r 13RS155 W84 C~52RK 2016 09 22.03427 20 36 14.706 -53 02 37.77 23.9g 13RS155 W84 C~52RK 2016 10 01.01136 20 35 45.766 -52 57 56.61 23.4r 13RS155 W84 C~52RK 2016 10 01.01272 20 35 45.770 -52 57 56.60 24.6g 13RS155 W84 C~52RK 2017 09 18.05930 20 44 57.315 -52 53 59.49 24.6g 13RS155 W84 C~52RK 2017 09 27.03065 20 44 21.545 -52 49 53.41 23.7r 13RS155 W84 C~52RK 2018 11 09.04026 20 52 14.174 -52 07 19.79 24.1g 13RS155 W84 C~52RK
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 0.11 0.00 0.02
2 0.0002 0.00 -0.03 0.00 0.02
3 0.0002 0.00 -0.02 0.00 0.03
4 0.0057 0.00 -0.11 0.00 -0.06
5 1.0514 0.00 0.16 0.00 -0.02
6 2.0261 0.00 0.23 0.00 -0.07
7 3.0227 0.00 -0.09 0.00 0.18
8 3.0582 0.00 0.02 0.00 -0.00
9 3.0582 0.00 -0.08 0.00 -0.04
10 3.0828 0.00 -0.24 0.00 0.02
11 3.0828 0.00 -0.12 0.00 -0.01
12 4.0467 0.00 0.36 0.00 0.09
13 4.0712 0.00 -0.08 0.00 -0.11
14 5.1883 0.00 -0.02 0.00 -0.06
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.
13RS155 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.479 50.479 50.479 ecceobj 0.269 0.269 0.269 incobj 34.149 34.149 34.149 qmin 35.598 35.590 35.565 qmax 66.126 66.042 66.041 amean 50.506 50.503 50.505 amin 50.041 50.022 50.020 amax 51.110 51.082 51.072 emean 0.274 0.274 0.274 emin 0.254 0.254 0.254 emax 0.294 0.294 0.293 imean 33.088 33.084 33.087 imin 32.674 32.672 32.675 imax 33.600 33.609 33.605 excite_mean 0.611 0.611 0.611 fracstop 1.000 1.000 1.000 cjmean 2.683 2.683 2.683 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 160.0 159.9 160.1 kozaiamp 180.0 179.9 180.0