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: 13SY112
# Created Tue Jan 21 02:09:51 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 2.10y
# First observation: 2013/09/30
# Last observation: 2015/11/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000009 0.023200 0.000006 0.005427 0.025673 0.000000
# Chi-squared of fit: 2.83 DOF: 10 RMS: 0.11
# Min/Max residuals: -0.20 0.22
# Exact a, adot, b, bdot, g, gdot:
1.401044E-05 2.364235E-02 3.629512E-06 5.548197E-03 2.596666E-02 7.849138E-03
# Covariance matrix:
5.7948E-13 3.0046E-13 5.4948E-15 2.6059E-14 2.0673E-12 1.0016E-12
3.0046E-13 6.1249E-12 -7.9497E-14 1.5658E-12 4.9780E-12 1.4922E-10
5.4948E-15 -7.9497E-14 2.4794E-13 -1.7376E-13 -2.8494E-15 -2.4757E-12
2.6059E-14 1.5658E-12 -1.7376E-13 8.2049E-13 8.1260E-13 4.3978E-11
2.0673E-12 4.9780E-12 -2.8494E-15 8.1260E-13 1.3762E-11 6.9092E-11
1.0016E-12 1.4922E-10 -2.4757E-12 4.3978E-11 6.9092E-11 4.2438E-09
# lat0 lon0 xBary yBary zBary JD0
2.605603 -5.916183 -0.220497 0.044516 -0.976056 2456565.639328
# Heliocentric elements and errors
Epoch: 2456560.5000 = 2013/09/25
Mean Anomaly: 78.85389 +/- 0.405
Argument of Peri: 256.51677 +/- 0.192
Long of Asc Node: 343.74858 +/- 0.001
Inclination: 13.49262 +/- 0.002
Eccentricity: 0.31263314 +/- 0.0021
Semi-Major Axis: 38.10396339 +/- 0.0586
Time of Perihelion: 2437742.4648 +/- 86.3
Perihelion: 26.19140155 +/- 0.0898
Aphelion: 50.01652523 +/- 0.1112
Period (y) 235.2141 +/- 0.54
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.26042087 +/- 0.0055
Ecliptic Y -3.84375489 +/- 0.0006
Ecliptic Z 1.75085330 +/- 0.0003
Ecliptic XDOT 0.00104665 +/- 0.0000
Ecliptic YDOT 0.00239570 +/- 0.0000
Ecliptic ZDOT 0.00062214 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.48696729 +/- 0.0054
Geocenter to KBO 38.51091569 +/- 0.0055
# Hcoef: 7.86
The following table shows the complete astrometric record for 13SY112. 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 (13SY112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.13855 23 34 08.991 +00 02 35.00 23.8r 13SY112 W84 C~52RV 2013 09 30.14003 23 34 08.980 +00 02 35.00 23.4i 13SY112 W84 C~52RV 2013 10 11.10946 23 33 19.159 -00 02 25.99 23.4z 13SY112 W84 C~52RV 2013 10 12.10342 23 33 14.855 -00 02 52.32 23.7i 13SY112 W84 C~52RV 2013 10 13.07263 23 33 10.714 -00 03 17.75 23.5i 13SY112 W84 C~52RV 2013 10 28.04096 23 32 13.121 -00 09 16.92 24.0r 13SY112 W84 C~52RV 2014 10 28.15544 23 36 38.636 +00 39 47.99 24.0r 13SY112 W84 C~52RV 2015 11 07.04382 23 40 28.773 +01 24 38.66 24.2g 13SY112 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 0.08 0.00 -0.05
2 0.0000 -0.15 0.04 0.07 0.01
3 0.0300 -805.58 0.09 19.32 -0.04
4 0.0328 -875.29 -0.14 20.68 -0.02
5 0.0354 -942.40 -0.20 21.90 -0.03
6 0.0764 -1877.95 0.11 33.85 0.22
7 1.0760 2945.16 0.04 1162.83 -0.17
8 2.1024 7182.32 -0.02 2270.02 0.08
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.
13SY112 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 38.275 38.439 38.115 ecceobj 0.312 0.317 0.307 incobj 13.451 13.453 13.449 qmin 25.756 24.031 23.496 qmax 52.922 53.808 53.296 amean 38.286 38.639 38.091 amin 37.647 37.840 36.734 amax 40.031 39.225 38.862 emean 0.316 0.346 0.353 emin 0.306 0.309 0.300 emax 0.328 0.378 0.382 imean 14.348 13.225 11.625 imin 14.111 10.877 9.359 imax 14.823 16.309 14.534 excite_mean 0.402 0.416 0.408 fracstop 0.012 0.076 0.076 cjmean 2.855 2.846 2.850 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 275.3 190.8 162.4 kozaiamp 19.6 179.5 179.4