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: 13RD124 # Created Fri Apr 19 01:14:48 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 35 observations of 35 # Arc: 10.01y # First observation: 2013/09/03 # Last observation: 2023/09/06 # Chi-squared of fit: 9.45 DOF: 64 RMS: 0.09 # Min/Max residuals: -0.35 0.19 # Exact a, adot, b, bdot, g, gdot: 1.579832E-05 2.650286E-02 -1.434852E-07 -1.031220E-03 2.572802E-02 1.423300E-03 # Covariance matrix: 2.0240E-13 -5.0843E-14 8.4439E-15 8.5305E-16 1.4455E-13 -1.1328E-13 -5.0843E-14 4.4095E-14 5.7835E-15 -1.6985E-15 6.9024E-14 1.7320E-13 8.4439E-15 5.7835E-15 1.1952E-13 -2.1550E-14 5.1139E-14 3.0846E-14 8.5305E-16 -1.6985E-15 -2.1550E-14 6.1804E-15 -4.5668E-15 -7.9062E-15 1.4455E-13 6.9024E-14 5.1139E-14 -4.5668E-15 7.4759E-13 3.8328E-13 -1.1328E-13 1.7320E-13 3.0846E-14 -7.9062E-15 3.8328E-13 7.9716E-13 # lat0 lon0 xBary yBary zBary JD0 15.624793 -40.416199 -0.359887 0.254202 -0.908661 2456538.618878 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 37.75621 +/- 0.040 Argument of Peri: 53.54283 +/- 0.050 Long of Asc Node: 221.32937 +/- 0.001 Inclination: 15.43172 +/- 0.000 Eccentricity: 0.09323124 +/- 0.0001 Semi-Major Axis: 42.77439628 +/- 0.0060 Time of Perihelion: 2445821.8217 +/- 11.7 Perihelion: 38.78648612 +/- 0.0062 Aphelion: 46.76230644 +/- 0.0072 Period (y) 279.7590 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.45074634 +/- 0.0010 Ecliptic Y -24.60314504 +/- 0.0008 Ecliptic Z 10.46860772 +/- 0.0003 Ecliptic XDOT 0.00195587 +/- 0.0000 Ecliptic YDOT 0.00203242 +/- 0.0000 Ecliptic ZDOT -0.00006475 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.77750441 +/- 0.0009 Geocenter to KBO 38.86814227 +/- 0.0013 # Hcoef: 6.74
The following table shows the complete astrometric record for 13RD124. 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 (13RD124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.11810 21 08 37.697 -00 04 18.10 23.4g 13RD124 W84 C~4yQr 2013 09 03.11810 21 08 37.70 -00 04 18.1 23.5g 13RD124 W84 C~3cl9 2013 09 08.07963 21 08 17.457 -00 06 49.51 23.0g 13RD124 W84 C~4yQr 2013 09 10.13827 21 08 09.42 -00 07 53.5 22.6r 13RD124 W84 C~3cl9 2013 09 23.03844 21 07 24.932 -00 14 41.94 23.3g 13RD124 W84 C~4yQr 2013 09 23.03844 21 07 24.93 -00 14 41.9 23.3g 13RD124 W84 C~3cl9 2013 09 23.17140 21 07 24.499 -00 14 45.95 22.2z 13RD124 W84 C~4yQr 2014 10 13.05516 21 12 27.480 -00 00 57.40 23.1g 13RD124 W84 C~4yQr 2014 10 13.05654 21 12 27.487 -00 00 57.42 22.4r 13RD124 W84 C~4yQr 2014 10 13.05654 21 12 27.49 -00 00 57.4 22.6r 13RD124 W84 C~3cl9 2016 09 08.06276 21 25 43.596 +01 05 07.45 22.3z 13RD124 W84 C~4yQr 2016 09 08.07101 21 25 43.56 +01 05 07.3 22.6r 13RD124 W84 C~3cl9 2016 09 08.14481 21 25 43.261 +01 05 04.94 23.3g 13RD124 W84 C~4yQr 2016 09 08.14481 21 25 43.26 +01 05 05.0 23.6g 13RD124 W84 C~3cl9 2016 09 30.04507 21 24 26.599 +00 53 12.70 22.9r 13RD124 W84 C~4yQr 2016 09 30.04507 21 24 26.60 +00 53 12.7 22.9r 13RD124 W84 C~3cl9 2016 09 30.04645 21 24 26.580 +00 53 12.61 22.5i 13RD124 W84 C~4yQr 2016 09 30.04645 21 24 26.58 +00 53 12.6 22.7i 13RD124 W84 C~3cl9 2016 09 30.04784 21 24 26.582 +00 53 12.70 23.6g 13RD124 W84 C~4yQr 2016 09 30.04784 21 24 26.58 +00 53 12.8 23.6g 13RD124 W84 C~3cl9 2017 10 10.05789 21 29 47.757 +01 11 38.95 22.5i 13RD124 W84 C~4yQr 2017 10 10.06888 21 29 47.734 +01 11 38.75 23.2r 13RD124 W84 C~4yQr 2017 10 11.04334 21 29 45.719 +01 11 07.78 22.8z 13RD124 W84 C~4yQr 2017 10 11.08775 21 29 45.617 +01 11 06.50 23.4g 13RD124 W84 C~4yQr 2017 10 27.03276 21 29 24.601 +01 03 15.27 22.5z 13RD124 W84 C~4yQr 2018 09 29.02606 21 36 01.776 +01 41 22.88 22.7r 13RD124 W84 C~4yQr 2018 09 29.02744 21 36 01.767 +01 41 22.93 22.4i 13RD124 W84 C~4yQr 2018 09 29.02883 21 36 01.761 +01 41 22.92 23.1g 13RD124 W84 C~4yQr 2018 09 29.14696 21 36 01.393 +01 41 19.12 21.0z 13RD124 W84 C~4yQr 2018 11 27.02481 21 35 29.859 +01 15 56.99 22.9z 13RD124 W84 C~4yQr 2020 08 12.244020 21 50 50.919 +02 52 08.62 22.7G 13RD124 G37 C~441U 2020 08 12.293310 21 50 50.688 +02 52 07.50 13RD124 G37 C~441U 2020 08 12.399200 21 50 50.189 +02 52 05.03 13RD124 G37 C~441U 2023 09 06.139520 22 06 09.981 +03 50 40.57 22.8G 13RD124 G37 C~7Ax4 2023 09 06.224160 22 06 09.603 +03 50 37.88 13RD124 G37 C~7Ax4
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 0.13 0.00 -0.07
2 0.0000 0.00 0.17 0.00 -0.07
3 0.0136 0.00 0.10 0.00 0.08
4 0.0192 0.00 0.08 0.00 0.05
5 0.0545 0.00 -0.02 0.00 -0.16
6 0.0545 0.00 -0.05 0.00 -0.12
7 0.0549 0.00 -0.35 0.00 0.06
8 1.1087 0.00 -0.05 0.00 0.05
9 1.1087 0.00 0.13 0.00 0.09
10 1.1087 0.00 0.09 0.00 0.07
11 3.0142 0.00 -0.04 0.00 -0.11
12 3.0142 0.00 -0.07 0.00 0.00
13 3.0144 0.00 0.08 0.00 0.03
14 3.0144 0.00 0.09 0.00 -0.03
15 3.0744 0.00 0.06 0.00 -0.01
16 3.0744 0.00 0.07 0.00 -0.01
17 3.0744 0.00 -0.17 0.00 -0.06
18 3.0744 0.00 -0.17 0.00 -0.05
19 3.0744 0.00 -0.11 0.00 0.19
20 3.0744 0.00 -0.08 0.00 0.09
21 4.1011 0.00 0.01 0.00 -0.06
22 4.1012 0.00 0.03 0.00 0.09
23 4.1038 0.00 0.04 0.00 -0.08
24 4.1040 0.00 -0.09 0.00 0.04
25 4.1476 0.00 0.17 0.00 -0.00
26 5.0702 0.00 0.04 0.00 -0.09
27 5.0703 0.00 -0.03 0.00 0.01
28 5.0703 0.00 -0.05 0.00 0.05
29 5.0706 0.00 0.02 0.00 0.18
30 5.2318 0.00 0.05 0.00 -0.00
31 6.9408 0.00 -0.01 0.00 0.01
32 6.9409 0.00 0.01 0.00 0.00
33 6.9412 0.00 0.00 0.00 -0.07
34 10.0069 0.00 -0.05 0.00 0.00
35 10.0071 0.00 0.03 0.00 -0.05
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.
13RD124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.909 42.909 42.909 ecceobj 0.095 0.095 0.095 incobj 15.443 15.443 15.443 qmin 38.155 38.155 38.155 qmax 47.995 47.996 47.994 amean 42.965 42.965 42.965 amin 42.623 42.632 42.620 amax 43.330 43.323 43.326 emean 0.094 0.094 0.094 emin 0.081 0.081 0.081 emax 0.108 0.108 0.108 imean 16.544 16.544 16.544 imin 15.963 15.963 15.964 imax 17.070 17.070 17.070 excite_mean 0.300 0.300 0.300 fracstop 1.000 1.000 1.000 cjmean 2.980 2.980 2.980 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 180.7 180.7 180.7 kozaiamp 179.9 180.0 179.9