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: 13RX157 # Created Tue Apr 1 01:09:39 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 5.03y # First observation: 2013/09/11 # Last observation: 2018/09/21 # Chi-squared of fit: 8.84 DOF: 28 RMS: 0.13 # Min/Max residuals: -0.32 0.26 # Exact a, adot, b, bdot, g, gdot: 1.542480E-05 2.319760E-02 2.600191E-06 4.946373E-03 2.453351E-02 -8.268135E-04 # Covariance matrix: 4.8665E-13 1.0749E-13 -2.1828E-14 4.4250E-14 5.5933E-13 1.7650E-12 1.0749E-13 6.5995E-13 -6.5675E-14 1.4950E-13 1.0677E-12 5.9763E-12 -2.1828E-14 -6.5675E-14 3.1200E-13 -8.5181E-14 -1.1705E-13 -6.1823E-13 4.4250E-14 1.4950E-13 -8.5181E-14 5.7263E-14 2.5565E-13 1.4030E-12 5.5933E-13 1.0677E-12 -1.1705E-13 2.5565E-13 2.3090E-12 1.0212E-11 1.7650E-12 5.9763E-12 -6.1823E-13 1.4030E-12 1.0212E-11 5.6082E-11 # lat0 lon0 xBary yBary zBary JD0 -4.554902 -0.359701 0.196597 -0.078373 -0.985016 2456546.788338 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 257.27577 +/- 0.292 Argument of Peri: 86.96713 +/- 0.269 Long of Asc Node: 19.38335 +/- 0.000 Inclination: 12.80510 +/- 0.000 Eccentricity: 0.04278919 +/- 0.0003 Semi-Major Axis: 41.28587412 +/- 0.0084 Time of Perihelion: 2484194.9677 +/- 81.4 Perihelion: 39.51928495 +/- 0.0139 Aphelion: 43.05246330 +/- 0.0144 Period (y) 265.2836 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.61762370 +/- 0.0025 Ecliptic Y -0.45478245 +/- 0.0000 Ecliptic Z -3.23688844 +/- 0.0002 Ecliptic XDOT -0.00003807 +/- 0.0000 Ecliptic YDOT 0.00258785 +/- 0.0000 Ecliptic ZDOT 0.00055772 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.74581439 +/- 0.0025 Geocenter to KBO 40.76062667 +/- 0.0025 # Hcoef: 7.49
The following table shows the complete astrometric record for 13RX157. 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 (13RX157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.28756 00 05 56.482 -04 19 16.91 24.1g 13RX157 W84 C~52RP 2013 09 11.28894 00 05 56.483 -04 19 16.93 23.8r 13RX157 W84 C~52RP 2013 10 13.12737 00 03 32.567 -04 32 52.97 23.2i 13RX157 W84 C~52RP 2013 10 13.12878 00 03 32.583 -04 32 53.11 23.0z 13RX157 W84 C~52RP 2014 10 29.18375 00 06 54.144 -03 50 49.07 23.5r 13RX157 W84 C~52RP 2016 11 26.11554 00 14 19.813 -02 21 29.57 23.1r 13RX157 W84 C~52RP 2016 11 26.11692 00 14 19.813 -02 21 29.83 23.3i 13RX157 W84 C~52RP 2016 12 04.10151 00 14 07.342 -02 21 42.72 24.2r 13RX157 W84 C~52RP 2017 09 18.23188 00 23 08.418 -01 11 47.83 23.9r 13RX157 W84 C~52RP 2017 09 18.23326 00 23 08.403 -01 11 47.99 24.3g 13RX157 W84 C~52RP 2017 11 09.06291 00 19 28.335 -01 31 27.48 24.0r 13RX157 W84 C~52RP 2018 09 09.21996 00 28 15.455 -00 19 43.75 24.9g 13RX157 W84 C~52RP 2018 09 09.32865 00 28 14.966 -00 19 46.64 23.7r 13RX157 W84 C~52RP 2018 09 09.33003 00 28 14.964 -00 19 46.64 23.0i 13RX157 W84 C~52RP 2018 09 14.32202 00 27 53.351 -00 21 57.72 23.8r 13RX157 W84 C~52RP 2018 09 14.32338 00 27 53.341 -00 21 57.75 24.1g 13RX157 W84 C~52RP 2018 09 21.27628 00 27 22.212 -00 25 03.07 22.6z 13RX157 W84 C~52RP
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 -0.14 0.00 0.07
2 0.0000 0.00 -0.03 0.00 0.09
3 0.0872 0.00 -0.16 0.00 0.10
4 0.0872 0.00 0.17 0.00 -0.01
5 1.1304 0.00 0.12 0.00 -0.17
6 3.2083 0.00 -0.01 0.00 -0.06
7 3.2083 0.00 0.03 0.00 -0.32
8 3.2302 0.00 0.05 0.00 -0.09
9 4.0190 0.00 0.22 0.00 0.14
10 4.0190 0.00 0.09 0.00 0.02
11 4.1609 0.00 -0.03 0.00 0.15
12 4.9937 0.00 0.14 0.00 0.05
13 4.9940 0.00 -0.14 0.00 -0.03
14 4.9940 0.00 -0.09 0.00 0.01
15 5.0076 0.00 -0.10 0.00 -0.09
16 5.0076 0.00 -0.16 0.00 -0.09
17 5.0267 0.00 0.11 0.00 0.26
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.
13RX157 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 41.493 41.493 41.493 ecceobj 0.040 0.040 0.040 incobj 12.774 12.774 12.774 qmin 38.565 38.568 38.567 qmax 44.230 44.233 44.227 amean 41.326 41.326 41.326 amin 41.006 41.009 41.005 amax 41.656 41.655 41.655 emean 0.045 0.045 0.045 emin 0.027 0.027 0.027 emax 0.063 0.063 0.063 imean 11.786 11.786 11.786 imin 10.626 10.627 10.630 imax 12.925 12.925 12.925 excite_mean 0.209 0.209 0.209 fracstop 1.000 1.000 1.000 cjmean 3.019 3.019 3.019 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 178.9 179.0 178.9 kozaiamp 180.0 180.0 179.9