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: 13RC158 # Created Fri Apr 26 01:15:02 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 8.15y # First observation: 2013/09/12 # Last observation: 2021/11/05 # Chi-squared of fit: 5.16 DOF: 26 RMS: 0.10 # Min/Max residuals: -0.20 0.23 # Exact a, adot, b, bdot, g, gdot: 1.729953E-05 3.556378E-02 1.076090E-06 2.070045E-03 3.262739E-02 -5.167765E-04 # Covariance matrix: 5.7396E-13 -2.4643E-13 1.4932E-14 -1.3687E-14 2.9369E-13 -7.5943E-13 -2.4643E-13 1.5875E-13 -1.0607E-14 9.5905E-15 -1.0898E-13 5.3630E-13 1.4932E-14 -1.0607E-14 2.3826E-13 -4.2730E-14 8.3240E-15 -3.8787E-14 -1.3687E-14 9.5905E-15 -4.2730E-14 1.2555E-14 -8.0376E-15 3.5115E-14 2.9369E-13 -1.0898E-13 8.3240E-15 -8.0376E-15 4.6908E-13 -4.3319E-13 -7.5943E-13 5.3630E-13 -3.8787E-14 3.5115E-14 -4.3319E-13 1.9621E-12 # lat0 lon0 xBary yBary zBary JD0 -6.909402 18.217557 0.485106 -0.106077 -0.876240 2456547.853658 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 215.67143 +/- 0.038 Argument of Peri: 83.41568 +/- 0.030 Long of Asc Node: 81.64468 +/- 0.001 Inclination: 7.44433 +/- 0.000 Eccentricity: 0.05673485 +/- 0.0001 Semi-Major Axis: 30.11100177 +/- 0.0026 Time of Perihelion: 2480744.0809 +/- 7.9 Perihelion: 28.40265874 +/- 0.0033 Aphelion: 31.81934480 +/- 0.0035 Period (y) 165.2327 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.89100606 +/- 0.0006 Ecliptic Y 9.33023545 +/- 0.0002 Ecliptic Z -3.68707293 +/- 0.0001 Ecliptic XDOT -0.00096017 +/- 0.0000 Ecliptic YDOT 0.00282657 +/- 0.0000 Ecliptic ZDOT 0.00017780 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.52968594 +/- 0.0006 Geocenter to KBO 30.64913052 +/- 0.0006 # Hcoef: 8.76
The following table shows the complete astrometric record for 13RC158. 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 (13RC158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.35288 01 17 42.787 +00 44 57.92 24.8g 13RC158 W84 C~52RP 2013 10 03.12407 01 15 49.510 +00 32 16.60 24.2g 13RC158 W84 C~52RP 2013 11 08.20827 01 12 20.777 +00 13 21.57 23.5r 13RC158 W84 C~52RQ 2013 11 08.20964 01 12 20.771 +00 13 21.71 23.6i 13RC158 W84 C~52RQ 2015 10 17.17378 01 29 17.639 +02 10 13.24 23.6r 13RC158 W84 C~52RQ 2015 11 06.19330 01 27 19.792 +01 59 59.93 23.6i 13RC158 W84 C~52RQ 2016 10 21.23668 01 36 14.681 +03 00 27.57 23.7i 13RC158 W84 C~52RQ 2016 10 28.24390 01 35 32.503 +02 56 45.69 23.3r 13RC158 W84 C~52RQ 2017 08 22.37959 01 48 31.368 +04 25 13.20 23.4r 13RC158 W84 C~52RQ 2017 08 22.38095 01 48 31.360 +04 25 13.16 23.6i 13RC158 W84 C~52RQ 2017 08 22.38233 01 48 31.361 +04 25 13.05 23.7g 13RC158 W84 C~52RQ 2017 08 27.36798 01 48 17.949 +04 23 10.25 23.6i 13RC158 W84 C~52RQ 2017 08 27.36937 01 48 17.934 +04 23 10.30 24.5g 13RC158 W84 C~52RQ 2021 11 05.245210 02 12 28.917 +07 15 49.03 23.2G 13RC158 G37 C~5BQf 2021 11 05.300150 02 12 28.574 +07 15 47.32 13RC158 G37 C~5BQf 2021 11 05.355420 02 12 28.216 +07 15 45.75 13RC158 G37 C~5BQf
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 0.0569 0.00 0.11 0.00 -0.05
3 0.1557 0.00 -0.00 0.00 -0.20
4 0.1557 0.00 0.02 0.00 -0.03
5 2.0940 0.00 -0.16 0.00 0.23
6 2.1488 0.00 0.15 0.00 -0.07
7 3.1071 0.00 0.04 0.00 0.11
8 3.1263 0.00 -0.18 0.00 0.15
9 3.9426 0.00 0.04 0.00 -0.00
10 3.9426 0.00 -0.03 0.00 -0.01
11 3.9426 0.00 0.04 0.00 -0.09
12 3.9562 0.00 0.06 0.00 0.04
13 3.9562 0.00 -0.10 0.00 0.12
14 8.1475 0.00 0.07 0.00 0.04
15 8.1477 0.00 0.09 0.00 -0.10
16 8.1479 0.00 -0.09 0.00 -0.10
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.
13RC158 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.226 30.226 30.226 ecceobj 0.052 0.052 0.052 incobj 7.448 7.448 7.448 qmin 27.592 27.592 27.592 qmax 32.917 32.916 32.917 amean 30.110 30.110 30.110 amin 29.793 29.793 29.793 amax 30.492 30.491 30.492 emean 0.053 0.053 0.053 emin 0.030 0.030 0.030 emax 0.080 0.080 0.080 imean 5.808 5.808 5.808 imin 5.467 5.467 5.467 imax 6.138 6.138 6.138 excite_mean 0.115 0.115 0.115 fracstop 1.000 1.000 1.000 cjmean 2.985 2.985 2.985 libcent 0 64.3 64.2 64.3 libamp 0 24.2 24.1 24.2 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 180.5 180.4 180.5 kozaiamp 180.0 180.0 180.0