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: 13GF137 # Created Sun Dec 22 02:09:26 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 6.15y # First observation: 2013/02/08 # Last observation: 2019/04/05 # Chi-squared of fit: 30.02 DOF: 72 RMS: 0.16 # Min/Max residuals: -0.48 0.35 # Exact a, adot, b, bdot, g, gdot: 1.799917E-05 2.733875E-02 -3.058326E-06 -7.195205E-03 2.705111E-02 4.903114E-03 # Covariance matrix: 1.3921E-13 -8.5895E-14 -9.3324E-15 1.8868E-14 6.4724E-14 -4.3752E-13 -8.5895E-14 1.7330E-13 2.1510E-14 -4.4283E-14 2.5190E-14 1.0460E-12 -9.3324E-15 2.1510E-14 5.8249E-14 -2.6006E-14 3.6175E-15 1.4814E-13 1.8868E-14 -4.4283E-14 -2.6006E-14 3.4322E-14 -7.9202E-15 -3.0510E-13 6.4724E-14 2.5190E-14 3.6175E-15 -7.9202E-15 1.0800E-13 1.9828E-13 -4.3752E-13 1.0460E-12 1.4814E-13 -3.0510E-13 1.9828E-13 7.2094E-12 # lat0 lon0 xBary yBary zBary JD0 0.420798 -144.336141 0.955392 0.001837 -0.242967 2456332.072698 # Heliocentric elements and errors Epoch: 2456332.5000 = 2013/02/09 Mean Anomaly: 60.06211 +/- 0.013 Argument of Peri: 101.05348 +/- 0.013 Long of Asc Node: 35.78448 +/- 0.000 Inclination: 14.69932 +/- 0.000 Eccentricity: 0.15890019 +/- 0.0001 Semi-Major Axis: 39.51803087 +/- 0.0031 Time of Perihelion: 2441193.7686 +/- 3.7 Perihelion: 33.23860834 +/- 0.0048 Aphelion: 45.79745339 +/- 0.0054 Period (y) 248.4283 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.78611768 +/- 0.0004 Ecliptic Y -20.91577018 +/- 0.0003 Ecliptic Z 0.27137678 +/- 0.0000 Ecliptic XDOT 0.00119950 +/- 0.0000 Ecliptic YDOT -0.00253950 +/- 0.0000 Ecliptic ZDOT -0.00072443 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.21990497 +/- 0.0003 Geocenter to KBO 36.96696622 +/- 0.0004 # Hcoef: 8.04
The following table shows the complete astrometric record for 13GF137. 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 (13GF137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.57192 14 14 01.060 -13 00 46.58 22.8r 13GF137 568 C~1XRX 2013 02 08.63142 14 14 01.041 -13 00 46.68 23.1r 13GF137 568 C~1XRX 2013 02 08.63609 14 14 01.048 -13 00 46.58 23.5r 13GF137 568 C~1XRX 2013 04 04.42978 14 11 13.109 -12 49 49.48 23.7r 13GF137 568 C~1XRX 2013 04 04.47031 14 11 12.905 -12 49 48.49 23.9r 13GF137 568 C~1XRX 2013 04 04.51071 14 11 12.705 -12 49 47.69 24.0r 13GF137 568 C~1XRX 2013 04 05.56945 14 11 07.429 -12 49 24.76 24.4r 13GF137 568 C~1XRX 2013 04 05.57336 14 11 07.433 -12 49 24.64 24.1r 13GF137 568 C~1XRX 2013 04 05.57724 14 11 07.419 -12 49 24.79 22.5r 13GF137 568 C~1XRX 2013 04 05.58112 14 11 07.400 -12 49 24.26 22.9r 13GF137 568 C~1XRX 2013 04 05.58503 14 11 07.360 -12 49 24.47 23.5r 13GF137 568 C~1XRX 2013 04 05.59323 14 11 07.311 -12 49 24.15 22.6r 13GF137 568 C~1XRX 2013 04 06.60299 14 11 02.244 -12 49 02.41 23.3r 13GF137 568 C~1XRX 2013 04 08.40393 14 10 53.177 -12 48 22.53 23.6r 13GF137 568 C~1XRX 2013 05 11.43786 14 07 59.598 -12 35 41.24 23.7r 13GF137 568 C~1XRX 2013 05 12.43565 14 07 54.548 -12 35 19.29 24.1r 13GF137 568 C~1XRX 2013 06 13.27356 14 05 39.854 -12 25 58.07 23.9r 13GF137 568 C~1XRX 2013 06 13.31400 14 05 39.729 -12 25 57.70 23.8r 13GF137 568 C~1XRX 2013 07 04.29497 14 04 52.370 -12 23 26.47 23.7r 13GF137 568 C~1XRX 2013 07 06.30260 14 04 49.971 -12 23 23.12 23.8r 13GF137 568 C~1XRX 2014 02 01.63775 14 19 30.879 -13 54 16.06 23.9r 13GF137 568 C~1XRX 2014 02 02.63560 14 19 31.173 -13 54 22.17 23.9r 13GF137 568 C~1XRX 2014 02 03.58019 14 19 31.385 -13 54 27.12 23.9r 13GF137 568 C~1XRX 2014 02 24.59733 14 19 11.356 -13 54 16.06 24.1r 13GF137 568 C~1XRX 2014 02 25.58039 14 19 09.319 -13 54 09.75 23.8r 13GF137 568 C~1XRX 2014 02 28.52833 14 19 02.621 -13 53 49.05 24.0r 13GF137 568 C~1XRX 2014 03 28.43778 14 17 23.101 -13 47 27.75 23.9r 13GF137 568 C~1XRX 2014 03 28.47685 14 17 22.919 -13 47 27.05 23.7r 13GF137 568 C~1XRX 2014 04 04.43113 14 16 50.098 -13 45 11.07 23.8r 13GF137 568 C~1XRX 2014 04 04.47037 14 16 49.901 -13 45 10.21 24.1r 13GF137 568 C~1XRX 2014 04 05.54517 14 16 44.609 -13 44 48.48 13GF137 568 C~1XRX 2014 04 05.55400 14 16 44.574 -13 44 47.62 24.0r 13GF137 568 C~1XRX 2014 05 22.38550 14 12 42.650 -13 27 33.64 23.6r 13GF137 568 C~1XRX 2014 05 28.36219 14 12 15.399 -13 25 38.54 23.9r 13GF137 568 C~1XRX 2014 06 26.32099 14 10 37.456 -13 19 12.39 24.3r 13GF137 568 C~1XRX 2014 07 18.28768 14 10 12.082 -13 18 28.95 13GF137 568 C~1XRX 2015 01 26.62254 14 24 53.984 -14 46 12.72 24.1r 13GF137 568 C~1XRX 2019 04 05.326630 14 44 48.145 -18 06 54.58 23.9G 13GF137 G37 C~34bw 2019 04 05.441600 14 44 47.590 -18 06 53.49 13GF137 G37 C~34bw
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 -0.48 0.00 -0.09 2 0.0002 0.00 -0.19 0.00 -0.14 3 0.0002 0.00 -0.04 0.00 -0.03 4 0.1502 0.00 -0.00 0.00 -0.07 5 0.1503 0.00 0.00 0.00 0.05 6 0.1504 0.00 0.06 0.00 -0.01 7 0.1533 0.00 -0.13 0.00 0.02 8 0.1533 0.00 0.22 0.00 0.06 9 0.1533 0.00 0.31 0.00 -0.18 10 0.1533 0.00 0.32 0.00 0.27 11 0.1534 0.00 0.02 0.00 -0.03 12 0.1534 0.00 -0.10 0.00 0.11 13 0.1561 0.00 -0.27 0.00 -0.18 14 0.1611 0.00 0.02 0.00 -0.03 15 0.2515 0.00 0.08 0.00 -0.02 16 0.2542 0.00 0.05 0.00 -0.01 17 0.3414 0.00 0.01 0.00 0.07 18 0.3415 0.00 0.12 0.00 -0.04 19 0.3990 0.00 0.06 0.00 -0.04 20 0.4045 0.00 0.00 0.00 0.13 21 0.9803 0.00 0.27 0.00 0.24 22 0.9831 0.00 -0.10 0.00 -0.06 23 0.9856 0.00 -0.01 0.00 -0.01 24 1.0432 0.00 0.04 0.00 -0.10 25 1.0459 0.00 0.13 0.00 0.15 26 1.0540 0.00 -0.03 0.00 -0.13 27 1.1304 0.00 0.08 0.00 -0.07 28 1.1305 0.00 0.06 0.00 -0.09 29 1.1495 0.00 0.00 0.00 -0.07 30 1.1496 0.00 -0.02 0.00 -0.00 31 1.1526 0.00 -0.21 0.00 -0.33 32 1.1526 0.00 -0.07 0.00 0.35 33 1.2808 0.00 -0.25 0.00 0.26 34 1.2972 0.00 -0.05 0.00 0.22 35 1.3765 0.00 0.04 0.00 -0.05 36 1.4366 0.00 -0.03 0.00 -0.08 37 1.9632 0.00 0.23 0.00 -0.10 38 6.1513 0.00 0.08 0.00 0.29 39 6.1516 0.00 -0.15 0.00 -0.31
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.
13GF137 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.373 39.373 39.373 ecceobj 0.156 0.156 0.156 incobj 14.718 14.718 14.718 qmin 32.684 32.687 32.681 qmax 46.862 46.859 46.815 amean 39.457 39.457 39.457 amin 38.974 38.978 38.983 amax 39.974 39.974 39.955 emean 0.155 0.155 0.155 emin 0.136 0.135 0.136 emax 0.172 0.172 0.172 imean 13.858 13.860 13.861 imin 13.355 13.357 13.349 imax 14.340 14.342 14.346 excite_mean 0.285 0.285 0.285 fracstop 1.000 1.000 1.000 cjmean 2.959 2.959 2.959 libcent 0 179.4 179.6 180.6 libamp 0 105.7 105.3 105.6 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 182.0 181.9 181.9 kozaiamp 180.0 179.9 180.0