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: 13SZ112
# Created Mon Apr 28 01:09:44 2025
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 4.94y
# First observation: 2013/09/30
# Last observation: 2018/09/10
Preliminary a, adot, b, bdot, g, gdot:
-0.000052 0.023370 -0.000002 0.000516 0.024005 0.000000
# Chi-squared of fit: 2.38 DOF: 20 RMS: 0.08
# Min/Max residuals: -0.15 0.19
# Exact a, adot, b, bdot, g, gdot:
1.541145E-05 2.320626E-02 5.344614E-07 5.121142E-04 2.402570E-02 -8.906733E-04
# Covariance matrix:
5.1816E-13 -2.4002E-13 7.6837E-16 -1.9496E-15 6.6052E-13 -8.6864E-13
-2.4002E-13 4.2342E-13 -2.7825E-15 8.1081E-15 -4.4330E-14 3.6956E-12
7.6837E-16 -2.7825E-15 3.1483E-13 -8.6850E-14 -1.1941E-15 -2.8031E-14
-1.9496E-15 8.1081E-15 -8.6850E-14 3.7380E-14 4.7847E-15 8.2895E-14
6.6052E-13 -4.4330E-14 -1.1941E-15 4.7847E-15 2.9047E-12 2.2709E-12
-8.6864E-13 3.6956E-12 -2.8031E-14 8.2895E-14 2.2709E-12 3.7867E-11
# lat0 lon0 xBary yBary zBary JD0
0.074733 -2.606695 -0.163775 0.001387 -0.988160 2456565.642328
# Heliocentric elements and errors
Epoch: 2456560.5000 = 2013/09/25
Mean Anomaly: 284.26126 +/- 0.304
Argument of Peri: 83.23813 +/- 0.340
Long of Asc Node: 354.32200 +/- 0.003
Inclination: 1.26970 +/- 0.000
Eccentricity: 0.03760260 +/- 0.0003
Semi-Major Axis: 42.95061908 +/- 0.0126
Time of Perihelion: 2478191.0778 +/- 86.3
Perihelion: 41.33556415 +/- 0.0167
Aphelion: 44.56567401 +/- 0.0174
Period (y) 281.4896 +/- 0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 42.57319190 +/- 0.0029
Ecliptic Y -1.77120917 +/- 0.0002
Ecliptic Z 0.05429255 +/- 0.0000
Ecliptic XDOT 0.00001263 +/- 0.0000
Ecliptic YDOT 0.00264502 +/- 0.0000
Ecliptic ZDOT 0.00005836 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.61005513 +/- 0.0029
Geocenter to KBO 41.62209489 +/- 0.0030
# Hcoef: 7.26
The following table shows the complete astrometric record for 13SZ112. 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 (13SZ112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.14155 23 50 18.825 -00 58 04.82 23.8r 13SZ112 W84 C~52RV 2013 09 30.14301 23 50 18.827 -00 58 04.93 22.9i 13SZ112 W84 C~52RV 2013 10 13.08435 23 49 24.686 -01 03 52.63 22.8i 13SZ112 W84 C~52RV 2013 11 23.08533 23 47 26.713 -01 16 29.06 23.8r 13SZ112 W84 C~52RV 2014 10 23.19731 23 53 36.141 -00 34 41.04 23.8r 13SZ112 W84 C~52RV 2016 09 11.19828 00 06 11.312 +00 50 47.21 23.2i 13SZ112 W84 C~52RV 2016 09 22.11486 00 05 23.709 +00 45 41.49 23.4r 13SZ112 W84 C~52RV 2016 10 02.16787 00 04 39.434 +00 40 56.81 23.2r 13SZ112 W84 C~52RV 2016 10 02.16925 00 04 39.414 +00 40 56.75 22.8i 13SZ112 W84 C~52RV 2017 09 27.16629 00 09 53.597 +01 16 51.58 23.1z 13SZ112 W84 C~52RV 2017 09 27.18691 00 09 53.511 +01 16 50.99 23.7r 13SZ112 W84 C~52RV 2017 09 27.18828 00 09 53.501 +01 16 50.92 23.4i 13SZ112 W84 C~52RV 2018 09 10.20572 00 16 00.376 +01 58 19.42 23.4i 13SZ112 W84 C~52RV
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 -0.03 0.00 -0.04
2 0.0000 -0.02 0.06 -0.11 -0.15
3 0.0354 -883.31 0.02 3.50 0.07
4 0.1477 -2807.61 -0.07 12.20 0.05
5 1.0624 3273.89 0.06 111.67 0.19
6 2.9488 15736.47 -0.03 313.33 -0.05
7 2.9787 14955.50 -0.09 316.58 -0.09
8 3.0062 14229.37 0.10 319.33 -0.04
9 3.0062 14229.07 -0.10 319.39 0.03
10 3.9919 19444.17 -0.01 424.91 0.01
11 3.9919 19442.74 0.09 424.88 -0.04
12 3.9919 19442.57 0.02 424.88 -0.04
13 4.9447 25551.56 -0.02 527.12 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.
13SZ112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.186 43.223 43.148 ecceobj 0.038 0.038 0.038 incobj 1.265 1.265 1.265 qmin 40.004 40.063 39.992 qmax 46.175 46.197 46.148 amean 42.998 43.036 42.961 amin 42.658 42.696 42.637 amax 43.349 43.388 43.303 emean 0.047 0.047 0.047 emin 0.025 0.026 0.026 emax 0.066 0.065 0.066 imean 2.222 2.209 2.235 imin 0.948 0.963 0.959 imax 3.094 3.078 3.109 excite_mean 0.062 0.062 0.062 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.084 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 180.1 179.5 180.5 kozaiamp 180.0 180.0 180.0