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: 13RQ98 # Created Tue Apr 1 01:09:33 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 5.19y # First observation: 2013/09/01 # Last observation: 2018/11/08 # Chi-squared of fit: 16.32 DOF: 56 RMS: 0.13 # Min/Max residuals: -0.27 0.37 # Exact a, adot, b, bdot, g, gdot: 1.979652E-05 3.862187E-02 2.256267E-06 4.587209E-03 3.053084E-02 6.195359E-03 # Covariance matrix: 1.9818E-13 -3.9654E-14 -5.1468E-14 -3.1277E-14 4.3357E-13 -1.5616E-13 -3.9654E-14 2.0360E-13 -4.4512E-14 2.0034E-14 2.7690E-13 1.1143E-12 -5.1468E-14 -4.4512E-14 1.7923E-13 -1.3043E-14 -4.0492E-13 -1.7624E-13 -3.1277E-14 2.0034E-14 -1.3043E-14 2.8107E-14 -1.6515E-13 1.6466E-13 4.3357E-13 2.7690E-13 -4.0492E-13 -1.6515E-13 3.2426E-12 9.1859E-13 -1.5616E-13 1.1143E-12 -1.7624E-13 1.6466E-13 9.1859E-13 6.6764E-12 # lat0 lon0 xBary yBary zBary JD0 -37.768357 -67.814335 -0.730613 -0.427404 -0.551748 2456536.587918 # Heliocentric elements and errors Epoch: 2456536.5000 = 2013/09/01 Mean Anomaly: 13.01694 +/- 0.010 Argument of Peri: 244.94793 +/- 0.017 Long of Asc Node: 11.21692 +/- 0.000 Inclination: 37.69277 +/- 0.000 Eccentricity: 0.43210507 +/- 0.0002 Semi-Major Axis: 55.45492459 +/- 0.0251 Time of Perihelion: 2451082.5006 +/- 5.7 Perihelion: 31.49257038 +/- 0.0186 Aphelion: 79.41727880 +/- 0.0379 Period (y) 412.9699 +/- 0.28 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.71736348 +/- 0.0006 Ecliptic Y -24.34243233 +/- 0.0014 Ecliptic Z -20.06065163 +/- 0.0012 Ecliptic XDOT 0.00346178 +/- 0.0000 Ecliptic YDOT 0.00066678 +/- 0.0000 Ecliptic ZDOT -0.00001496 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.31422608 +/- 0.0013 Geocenter to KBO 32.75370333 +/- 0.0019 # Hcoef: 7.63
The following table shows the complete astrometric record for 13RQ98. 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 (13RQ98) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.08714 20 19 35.160 -58 32 58.27 23.2r 13RQ98 W84 C~4yQm 2013 09 01.08853 20 19 35.146 -58 32 58.17 22.8i 13RQ98 W84 C~4yQm 2013 09 10.00087 20 18 28.794 -58 27 11.75 23.8g 13RQ98 W84 C~4yQm 2013 09 13.00590 20 18 09.361 -58 24 55.66 22.8z 13RQ98 W84 C~4yQm 2013 09 22.993067 20 17 16.72 -58 16 22.1 22.6i 13RQ98 W84 C~2Gib 2013 09 22.99307 20 17 16.720 -58 16 22.30 22.8i 13RQ98 W84 C~4yQm 2013 09 23.005822 20 17 16.67 -58 16 21.5 23.0r 13RQ98 W84 C~2Gib 2013 09 23.00583 20 17 16.676 -58 16 21.59 23.4r 13RQ98 W84 C~4yQm 2013 09 23.090185 20 17 16.31 -58 16 16.7 22.4z 13RQ98 W84 C~2Gib 2013 09 23.09020 20 17 16.304 -58 16 16.97 22.6z 13RQ98 W84 C~4yQm 2013 09 29.00317 20 16 54.446 -58 10 31.85 23.0r 13RQ98 W84 C~4yQm 2015 09 29.03641 20 45 50.770 -56 16 40.51 21.7z 13RQ98 W84 C~4yQm 2016 09 24.03954 20 59 17.043 -55 15 23.92 22.8r 13RQ98 W84 C~4yQm 2016 09 24.040891 20 59 17.02 -55 15 23.7 22.5i 13RQ98 W84 C~2Gib 2016 09 24.04090 20 59 17.029 -55 15 23.69 22.7i 13RQ98 W84 C~4yQm 2016 10 09.00170 20 58 13.166 -55 02 15.30 22.3z 13RQ98 W84 C~4yQm 2016 10 09.001701 20 58 13.17 -55 02 15.2 22.2z 13RQ98 W84 C~2Gib 2016 10 09.01154 20 58 13.142 -55 02 14.91 22.9i 13RQ98 W84 C~4yQm 2017 09 14.09283 21 12 36.526 -54 12 37.07 23.1r 13RQ98 W84 C~4yQm 2017 09 14.09419 21 12 36.512 -54 12 37.01 22.6i 13RQ98 W84 C~4yQm 2017 09 26.06613 21 11 19.691 -54 05 13.83 23.2z 13RQ98 W84 C~4yQm 2017 10 10.03535 21 10 17.594 -53 53 32.36 23.4i 13RQ98 W84 C~4yQm 2017 10 11.03472 21 10 14.418 -53 52 35.38 23.2r 13RQ98 W84 C~4yQm 2017 10 13.01039 21 10 08.661 -53 50 40.43 23.7g 13RQ98 W84 C~4yQm 2017 10 16.01911 21 10 01.182 -53 47 39.23 23.1r 13RQ98 W84 C~4yQm 2017 10 16.02048 21 10 01.205 -53 47 38.99 22.7i 13RQ98 W84 C~4yQm 2017 10 16.02185 21 10 01.159 -53 47 39.12 23.5g 13RQ98 W84 C~4yQm 2018 10 22.04920 21 21 03.972 -52 30 57.52 22.8z 13RQ98 W84 C~4yQm 2018 10 28.11673 21 20 57.265 -52 24 24.68 23.6i 13RQ98 W84 C~4yQm 2018 11 07.04872 21 21 00.671 -52 12 54.64 23.0r 13RQ98 W84 C~4yQm 2018 11 08.09150 21 21 02.080 -52 11 39.40 24.3g 13RQ98 W84 C~4yQm
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 0.06 0.00 0.04
2 0.0000 0.00 0.03 0.00 0.09
3 0.0244 0.00 0.13 0.00 -0.25
4 0.0326 0.00 -0.08 0.00 -0.01
5 0.0600 0.00 -0.15 0.00 0.18
6 0.0600 0.00 -0.15 0.00 -0.02
7 0.0600 0.00 -0.04 0.00 0.07
8 0.0600 0.00 0.05 0.00 -0.02
9 0.0602 0.00 0.24 0.00 0.15
10 0.0602 0.00 0.15 0.00 -0.13
11 0.0764 0.00 -0.09 0.00 0.00
12 2.0752 0.00 0.04 0.00 -0.26
13 3.0635 0.00 0.03 0.00 -0.15
14 3.0635 0.00 -0.20 0.00 0.01
15 3.0635 0.00 -0.06 0.00 0.02
16 3.1045 0.00 -0.02 0.00 0.13
17 3.1045 0.00 0.04 0.00 0.23
18 3.1045 0.00 0.08 0.00 -0.06
19 4.0356 0.00 0.05 0.00 -0.04
20 4.0356 0.00 -0.01 0.00 -0.02
21 4.0684 0.00 -0.23 0.00 0.06
22 4.1066 0.00 -0.11 0.00 -0.01
23 4.1094 0.00 0.04 0.00 0.02
24 4.1148 0.00 0.31 0.00 -0.05
25 4.1230 0.00 -0.03 0.00 -0.02
26 4.1230 0.00 0.37 0.00 0.14
27 4.1230 0.00 -0.27 0.00 -0.08
28 5.1388 0.00 0.08 0.00 -0.03
29 5.1555 0.00 0.12 0.00 0.05
30 5.1826 0.00 -0.18 0.00 -0.01
31 5.1855 0.00 -0.07 0.00 -0.11
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.
13RQ98 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 55.448 55.448 55.448 ecceobj 0.432 0.432 0.432 incobj 37.721 37.721 37.721 qmin 30.730 30.768 30.712 qmax 82.221 82.235 82.368 amean 55.831 55.825 55.969 amin 55.161 55.143 55.146 amax 56.770 56.744 57.124 emean 0.424 0.424 0.423 emin 0.393 0.393 0.396 emax 0.449 0.449 0.449 imean 38.265 38.283 38.372 imin 37.529 37.568 37.552 imax 39.392 39.403 39.334 excite_mean 0.751 0.751 0.751 fracstop 1.000 1.000 1.000 cjmean 2.475 2.475 2.474 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 199.4 197.4 189.8 kozaiamp 179.9 180.0 179.9