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: 13XL40 # Created Thu Apr 25 01:15:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 8.00y # First observation: 2013/12/01 # Last observation: 2021/12/01 # Chi-squared of fit: 5.87 DOF: 24 RMS: 0.11 # Min/Max residuals: -0.18 0.31 # Exact a, adot, b, bdot, g, gdot: 2.102222E-05 3.701974E-02 7.201114E-07 2.718226E-03 2.821273E-02 2.660288E-03 # Covariance matrix: 3.3988E-13 -1.5629E-13 1.0397E-14 -9.1896E-15 -1.5018E-13 -3.8706E-13 -1.5629E-13 1.8567E-13 -9.7738E-15 1.2744E-14 -6.6948E-15 5.8033E-13 1.0397E-14 -9.7738E-15 1.8380E-13 -3.2158E-14 -7.4271E-15 -3.1120E-14 -9.1896E-15 1.2744E-14 -3.2158E-14 1.2601E-14 -3.8522E-16 4.2483E-14 -1.5018E-13 -6.6948E-15 -7.4271E-15 -3.8522E-16 3.5761E-13 -8.9948E-14 -3.8706E-13 5.8033E-13 -3.1120E-14 4.2483E-14 -8.9948E-14 1.9483E-12 # lat0 lon0 xBary yBary zBary JD0 -14.124573 35.635433 -0.539290 -0.200772 -0.798479 2456627.694978 # Heliocentric elements and errors Epoch: 2456628.5000 = 2013/12/02 Mean Anomaly: 2.58691 +/- 0.001 Argument of Peri: 274.23000 +/- 0.005 Long of Asc Node: 108.76474 +/- 0.001 Inclination: 14.46716 +/- 0.000 Eccentricity: 0.60280727 +/- 0.0001 Semi-Major Axis: 90.38343840 +/- 0.0270 Time of Perihelion: 2454373.1644 +/- 1.6 Perihelion: 35.89964490 +/- 0.0148 Aphelion: 144.86723190 +/- 0.0445 Period (y) 859.2934 +/- 0.39 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.29038077 +/- 0.0006 Ecliptic Y 20.94777625 +/- 0.0004 Ecliptic Z -8.64971190 +/- 0.0002 Ecliptic XDOT -0.00184344 +/- 0.0000 Ecliptic YDOT 0.00310118 +/- 0.0000 Ecliptic ZDOT 0.00019295 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.24869578 +/- 0.0005 Geocenter to KBO 35.44497698 +/- 0.0008 # Hcoef: 7.47
The following table shows the complete astrometric record for 13XL40. 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 (13XL40) followed by the observatory code and reference code for the source of the astrometry.
2013 12 01.19420 02 31 56.450 +00 02 56.28 24.5g 13XL40 W84 C~52S3 2013 12 01.19557 02 31 56.449 +00 02 56.23 23.2r 13XL40 W84 C~52S3 2013 12 01.19696 02 31 56.444 +00 02 56.15 22.9i 13XL40 W84 C~52S3 2013 12 21.14251 02 30 43.476 +00 03 11.82 22.8z 13XL40 W84 C~52S3 2014 08 19.39449 02 46 11.371 +01 34 19.89 22.7z 13XL40 W84 C~52S3 2014 08 19.39672 02 46 11.375 +01 34 19.86 23.2r 13XL40 W84 C~52S3 2014 09 24.30049 02 45 04.601 +01 18 07.17 22.8r 13XL40 W84 C~52S3 2015 11 22.13711 02 48 15.421 +01 43 41.78 22.2z 13XL40 W84 C~52S3 2016 11 03.21402 02 57 30.767 +02 37 58.78 22.9r 13XL40 W84 C~52S3 2016 11 03.21539 02 57 30.772 +02 37 58.71 22.9i 13XL40 W84 C~52S3 2016 11 10.25685 02 56 54.495 +02 35 36.12 22.5z 13XL40 W84 C~52S3 2016 12 21.13025 02 53 49.592 +02 30 16.08 23.4r 13XL40 W84 C~52S3 2021 12 01.242170 03 32 44.677 +06 24 42.90 23.2G 13XL40 G37 C~5J5g 2021 12 01.291580 03 32 44.432 +06 24 42.02 13XL40 G37 C~5J5g 2021 12 01.367740 03 32 44.029 +06 24 41.21 13XL40 G37 C~5J5g
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 -0.11 0.00 0.14
2 0.0000 0.00 -0.03 0.00 0.10
3 0.0000 0.00 -0.01 0.00 0.03
4 0.0546 0.00 0.14 0.00 -0.14
5 0.7151 0.00 0.01 0.00 -0.03
6 0.7151 0.00 0.08 0.00 -0.01
7 0.8134 0.00 -0.11 0.00 0.01
8 1.9738 0.00 -0.12 0.00 -0.02
9 2.9241 0.00 -0.00 0.00 -0.07
10 2.9241 0.00 0.18 0.00 -0.12
11 2.9434 0.00 0.03 0.00 0.09
12 3.0553 0.00 -0.00 0.00 0.00
13 8.0001 0.00 0.03 0.00 0.31
14 8.0003 0.00 0.10 0.00 -0.09
15 8.0005 0.00 -0.17 0.00 -0.18
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.
13XL40 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 91.883 91.882 91.883 ecceobj 0.609 0.609 0.609 incobj 14.473 14.473 14.473 qmin 35.028 35.111 35.112 qmax 147.878 147.972 148.087 amean 89.507 89.956 89.529 amin 87.606 88.200 87.437 amax 91.902 92.206 92.306 emean 0.595 0.596 0.593 emin 0.581 0.586 0.578 emax 0.609 0.609 0.609 imean 13.700 13.977 13.997 imin 12.787 12.831 12.830 imax 14.727 14.479 15.070 excite_mean 0.641 0.643 0.640 fracstop 1.000 1.000 1.000 cjmean 3.029 3.029 3.031 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 180.2 150.2 170.2 kozaiamp 180.0 180.0 180.0