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: 13SZ111
# Created Fri Nov 22 02:09:38 2024
# Orbit generated from Bernstein formalism
# Fitting 14 observations of 14
# Arc: 1.13y
# First observation: 2013/09/28
# Last observation: 2014/11/14
Preliminary a, adot, b, bdot, g, gdot:
-0.000009 0.026857 0.000003 0.012983 0.027565 0.000000
# Chi-squared of fit: 5.42 DOF: 22 RMS: 0.11
# Min/Max residuals: -0.21 0.25
# Exact a, adot, b, bdot, g, gdot:
1.420026E-05 2.704858E-02 7.147055E-06 1.310890E-02 2.772766E-02 1.881621E-03
# Covariance matrix:
4.2093E-13 1.2106E-12 -3.0254E-14 9.3370E-13 1.3996E-12 6.3026E-11
1.2106E-12 2.1791E-11 -6.3629E-13 1.8387E-11 1.1460E-11 1.2532E-09
-3.0254E-14 -6.3629E-13 1.9597E-13 -7.3321E-13 -2.9522E-13 -3.8518E-11
9.3370E-13 1.8387E-11 -7.3321E-13 1.6621E-11 8.7833E-12 1.1063E-09
1.3996E-12 1.1460E-11 -2.9522E-13 8.7833E-12 8.9437E-12 5.9605E-10
6.3026E-11 1.2532E-09 -3.8518E-11 1.1063E-09 5.9605E-10 7.5473E-08
# lat0 lon0 xBary yBary zBary JD0
2.076895 1.258944 -0.061681 0.036347 -0.999722 2456563.589308
# Heliocentric elements and errors
Epoch: 2456560.5000 = 2013/09/25
Mean Anomaly: 26.32633 +/- 2.864
Argument of Peri: 331.05964 +/- 3.874
Long of Asc Node: 357.19994 +/- 0.001
Inclination: 25.94857 +/- 0.004
Eccentricity: 0.12300671 +/- 0.0057
Semi-Major Axis: 41.49135206 +/- 0.0627
Time of Perihelion: 2449421.7412 +/- 776.3
Perihelion: 36.38763748 +/- 0.2428
Aphelion: 46.59506664 +/- 0.2468
Period (y) 267.2665 +/- 0.61
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.03104337 +/- 0.0039
Ecliptic Y 0.87846895 +/- 0.0001
Ecliptic Z 1.30726909 +/- 0.0001
Ecliptic XDOT 0.00007388 +/- 0.0000
Ecliptic YDOT 0.00267189 +/- 0.0000
Ecliptic ZDOT 0.00130040 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.06452257 +/- 0.0039
Geocenter to KBO 36.06507217 +/- 0.0039
# Hcoef: 7.69
The following table shows the complete astrometric record for 13SZ111. 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 (13SZ111) followed by the observatory code and reference code for the source of the astrometry.
2013 09 28.08853 00 01 18.849 +02 24 22.37 23.6g 13SZ111 W84 C~52RT 2013 09 30.13263 00 01 08.127 +02 23 28.41 22.9r 13SZ111 W84 C~52RT 2013 09 30.13409 00 01 08.118 +02 23 28.32 23.1i 13SZ111 W84 C~52RT 2013 10 11.11811 00 00 11.903 +02 18 42.32 23.0z 13SZ111 W84 C~52RT 2013 10 12.12332 00 00 06.928 +02 18 16.70 23.6i 13SZ111 W84 C~52RT 2013 10 12.12471 00 00 06.910 +02 18 16.75 22.7z 13SZ111 W84 C~52RT 2013 10 13.10784 00 00 02.077 +02 17 52.03 23.2i 13SZ111 W84 C~52RT 2013 10 28.06370 23 58 53.882 +02 12 01.60 23.6r 13SZ111 W84 C~52RT 2013 11 08.12914 23 58 11.992 +02 08 29.49 23.6r 13SZ111 W84 C~52RT 2014 10 28.16253 00 03 22.323 +03 29 54.91 23.1r 13SZ111 W84 C~52RT 2014 10 28.16809 00 03 22.303 +03 29 55.10 23.1i 13SZ111 W84 C~52RT 2014 11 13.03961 00 02 23.566 +03 24 43.56 24.0g 13SZ111 W84 C~52RT 2014 11 13.04097 00 02 23.570 +03 24 43.34 23.5i 13SZ111 W84 C~52RT 2014 11 14.04307 00 02 20.491 +03 24 27.05 23.2r 13SZ111 W84 C~52RT
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 0.25 0.00 0.07
2 0.0056 -168.89 0.00 14.46 0.07
3 0.0056 -169.05 -0.04 14.43 0.03
4 0.0357 -1055.79 -0.06 87.52 -0.01
5 0.0384 -1134.39 -0.03 93.71 -0.14
6 0.0384 -1134.62 -0.15 93.86 0.00
7 0.0411 -1210.91 -0.11 100.03 0.07
8 0.0821 -2288.12 -0.03 185.76 -0.11
9 0.1124 -2948.65 0.18 241.43 -0.00
10 1.0817 3261.93 -0.08 2872.52 -0.04
11 1.0817 3261.73 0.10 2872.82 0.22
12 1.1251 2330.66 0.02 2936.67 0.14
13 1.1251 2330.63 0.06 2936.45 -0.09
14 1.1279 2281.84 -0.10 2939.84 -0.21
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.
13SZ111 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.703 41.973 41.494 ecceobj 0.128 0.146 0.113 incobj 25.878 25.891 25.864 qmin 35.401 34.812 35.478 qmax 47.924 49.234 47.438 amean 41.517 41.809 41.288 amin 41.179 41.450 40.959 amax 41.884 42.221 41.665 emean 0.128 0.146 0.118 emin 0.113 0.128 0.098 emax 0.145 0.166 0.139 imean 26.213 26.246 26.129 imin 25.749 25.740 25.614 imax 26.713 26.793 26.649 excite_mean 0.460 0.466 0.456 fracstop 1.000 1.000 1.000 cjmean 2.815 2.811 2.817 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 170.0 171.7 180.0 kozaiamp 179.9 180.0 180.0