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: 13RD157 # Created Fri Nov 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 5.21y # First observation: 2013/09/10 # Last observation: 2018/11/27 # Chi-squared of fit: 3.66 DOF: 40 RMS: 0.07 # Min/Max residuals: -0.14 0.19 # Exact a, adot, b, bdot, g, gdot: 1.717632E-05 3.190599E-02 -3.216892E-06 -6.087583E-03 2.951584E-02 2.356856E-03 # Covariance matrix: 2.8600E-13 -1.9357E-13 -1.7477E-14 3.3437E-14 1.2185E-13 -1.1899E-12 -1.9357E-13 3.2968E-13 3.3346E-14 -6.7500E-14 -1.8246E-15 2.3667E-12 -1.7477E-14 3.3346E-14 1.8165E-13 -5.3382E-14 -5.4801E-15 2.5673E-13 3.3437E-14 -6.7500E-14 -5.3382E-14 3.3422E-14 4.9198E-15 -5.1625E-13 1.2185E-13 -1.8246E-15 -5.4801E-15 4.9198E-15 3.8476E-13 -2.2822E-13 -1.1899E-12 2.3667E-12 2.5673E-13 -5.1625E-13 -2.2822E-13 1.8132E-11 # lat0 lon0 xBary yBary zBary JD0 -5.704020 -1.845323 0.187180 -0.098321 -0.985353 2456545.823698 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 37.37338 +/- 0.036 Argument of Peri: 162.35402 +/- 0.047 Long of Asc Node: 151.11145 +/- 0.001 Inclination: 12.17068 +/- 0.000 Eccentricity: 0.09818610 +/- 0.0001 Semi-Major Axis: 37.65307649 +/- 0.0043 Time of Perihelion: 2447785.3927 +/- 8.5 Perihelion: 33.95606788 +/- 0.0065 Aphelion: 41.35008510 +/- 0.0071 Period (y) 231.0516 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.67829430 +/- 0.0007 Ecliptic Y -1.30150255 +/- 0.0000 Ecliptic Z -3.36746083 +/- 0.0001 Ecliptic XDOT 0.00025045 +/- 0.0000 Ecliptic YDOT 0.00295166 +/- 0.0000 Ecliptic ZDOT -0.00058347 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.86567285 +/- 0.0007 Geocenter to KBO 33.88010057 +/- 0.0007 # Hcoef: 7.58
The following table shows the complete astrometric record for 13RD157. 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 (13RD157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.32292 00 02 20.155 -05 57 56.65 23.9g 13RD157 W84 C~52RO 2013 09 30.16406 00 00 37.423 -06 10 18.52 23.2r 13RD157 W84 C~52RO 2013 09 30.16553 00 00 37.413 -06 10 18.59 23.0i 13RD157 W84 C~52RO 2013 10 12.12774 23 59 37.062 -06 16 57.94 22.5z 13RD157 W84 C~52RO 2013 10 13.15178 23 59 32.100 -06 17 29.46 22.4i 13RD157 W84 C~52RO 2013 10 13.15458 23 59 32.083 -06 17 29.63 22.4z 13RD157 W84 C~52RO 2014 08 18.29436 00 11 21.011 -05 18 40.57 22.8i 13RD157 W84 C~52RO 2014 11 14.03021 00 04 41.063 -06 04 51.25 23.0z 13RD157 W84 C~52RO 2014 11 15.05821 00 04 38.150 -06 05 04.04 22.7z 13RD157 W84 C~52RO 2015 08 18.32343 00 18 32.727 -04 53 43.20 22.6r 13RD157 W84 C~52RO 2015 11 03.09876 00 12 29.899 -05 37 10.81 23.5r 13RD157 W84 C~52RO 2016 09 10.26359 00 23 59.463 -04 43 22.24 22.8i 13RD157 W84 C~52RO 2016 09 10.26496 00 23 59.453 -04 43 22.25 23.1r 13RD157 W84 C~52RO 2016 09 10.26633 00 23 59.450 -04 43 22.22 23.8g 13RD157 W84 C~52RO 2017 09 25.26109 00 29 53.457 -04 27 30.55 23.0r 13RD157 W84 C~52RO 2017 09 26.30165 00 29 48.067 -04 28 09.26 22.7i 13RD157 W84 C~52RO 2017 09 27.26030 00 29 43.118 -04 28 44.85 23.5g 13RD157 W84 C~52RO 2017 10 17.23932 00 28 00.682 -04 40 08.71 23.0r 13RD157 W84 C~52RO 2017 10 27.16992 00 27 13.541 -04 44 49.57 22.3z 13RD157 W84 C~52RO 2017 10 29.12386 00 27 04.837 -04 45 38.54 22.2z 13RD157 W84 C~52RO 2018 11 08.18392 00 33 28.419 -04 24 04.45 23.1r 13RD157 W84 C~52RO 2018 11 08.18529 00 33 28.415 -04 24 04.31 22.9i 13RD157 W84 C~52RO 2018 11 27.08458 00 32 28.078 -04 28 10.10 23.6g 13RD157 W84 C~52RO
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 -0.01 0.00 -0.02
2 0.0543 0.00 0.07 0.00 0.02
3 0.0543 0.00 0.03 0.00 0.00
4 0.0871 0.00 -0.00 0.00 0.02
5 0.0899 0.00 0.01 0.00 0.09
6 0.0899 0.00 -0.04 0.00 0.00
7 0.9363 0.00 -0.01 0.00 -0.06
8 1.1765 0.00 -0.06 0.00 -0.07
9 1.1793 0.00 -0.02 0.00 -0.08
10 1.9357 0.00 -0.01 0.00 0.04
11 2.1459 0.00 0.11 0.00 -0.04
12 3.0005 0.00 -0.02 0.00 -0.01
13 3.0005 0.00 -0.07 0.00 0.03
14 3.0005 0.00 -0.01 0.00 0.11
15 4.0409 0.00 -0.02 0.00 -0.01
16 4.0437 0.00 -0.08 0.00 0.06
17 4.0464 0.00 0.15 0.00 0.03
18 4.1011 0.00 0.10 0.00 -0.04
19 4.1283 0.00 -0.14 0.00 -0.11
20 4.1336 0.00 0.19 0.00 0.14
21 5.1605 0.00 -0.04 0.00 -0.12
22 5.1605 0.00 -0.01 0.00 0.04
23 5.2122 0.00 -0.01 0.00 0.03
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.
13RD157 quality flag:3 Type: 7:5EE 7:5EE 7:5EE axisobj 37.839 37.839 37.839 ecceobj 0.103 0.103 0.103 incobj 12.142 12.142 12.142 qmin 32.668 32.668 32.668 qmax 42.918 42.918 42.917 amean 37.685 37.685 37.685 amin 37.380 37.380 37.380 amax 38.028 38.028 38.028 emean 0.110 0.110 0.110 emin 0.084 0.084 0.084 emax 0.129 0.129 0.129 imean 6.873 6.873 6.873 imin 3.335 3.335 3.335 imax 11.053 11.053 11.053 excite_mean 0.165 0.165 0.165 fracstop 1.000 1.000 1.000 cjmean 3.006 3.006 3.006 libcent 0 182.1 182.1 182.1 libamp 0 36.4 36.4 36.4 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 177.1 177.1 177.1 kozaiamp 180.0 180.0 180.0