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: 13SA113
# Created Sun Dec 22 02:09:41 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 12 observations of 12
# Arc: 8.10y
# First observation: 2013/09/30
# Last observation: 2021/11/05
# Chi-squared of fit: 2.93 DOF: 18 RMS: 0.09
# Min/Max residuals: -0.19 0.19
# Exact a, adot, b, bdot, g, gdot:
1.427706E-05 2.184194E-02 4.893728E-06 8.191991E-03 2.447155E-02 -4.510340E-04
# Covariance matrix:
3.8818E-13 -1.4811E-13 3.9436E-14 -4.6791E-14 2.1273E-13 -6.9083E-13
-1.4811E-13 1.4593E-13 -4.4771E-14 5.3437E-14 3.3786E-14 7.7939E-13
3.9436E-14 -4.4771E-14 2.7867E-13 -6.0714E-14 1.1470E-14 -2.6872E-13
-4.6791E-14 5.3437E-14 -6.0714E-14 3.4559E-14 -1.2062E-14 3.2024E-13
2.1273E-13 3.3786E-14 1.1470E-14 -1.2062E-14 1.4086E-12 -2.2482E-13
-6.9083E-13 7.7939E-13 -2.6872E-13 3.2024E-13 -2.2482E-13 4.6855E-12
# lat0 lon0 xBary yBary zBary JD0
0.086968 -0.614154 -0.129420 0.001607 -0.993242 2456565.648228
# Heliocentric elements and errors
Epoch: 2456566.5000 = 2013/10/01
Mean Anomaly: 207.93468 +/- 0.129
Argument of Peri: 154.43867 +/- 0.119
Long of Asc Node: 359.34025 +/- 0.000
Inclination: 20.57134 +/- 0.000
Eccentricity: 0.04146803 +/- 0.0001
Semi-Major Axis: 40.36354931 +/- 0.0073
Time of Perihelion: 2496131.4056 +/- 36.7
Perihelion: 38.68975247 +/- 0.0091
Aphelion: 42.03734615 +/- 0.0096
Period (y) 256.4438 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.85555123 +/- 0.0020
Ecliptic Y -0.31621539 +/- 0.0000
Ecliptic Z 0.06220705 +/- 0.0000
Ecliptic XDOT -0.00003183 +/- 0.0000
Ecliptic YDOT 0.00244274 +/- 0.0000
Ecliptic ZDOT 0.00091657 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.85680343 +/- 0.0020
Geocenter to KBO 40.86383420 +/- 0.0020
# Hcoef: 7.79
The following table shows the complete astrometric record for 13SA113. 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 (13SA113) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.14745 23 57 36.463 -00 09 52.20 23.7r 13SA113 W84 C~52RV 2013 09 30.14891 23 57 36.456 -00 09 52.45 23.9i 13SA113 W84 C~52RV 2013 10 13.08744 23 56 38.417 -00 15 05.01 23.7i 13SA113 W84 C~52RV 2013 10 28.05807 23 55 38.482 -00 20 20.76 24.2r 13SA113 W84 C~52RV 2015 11 07.07038 00 02 44.190 +01 27 36.63 23.8r 13SA113 W84 C~52RV 2016 09 22.12447 00 09 44.781 +02 40 31.62 23.7r 13SA113 W84 C~52RV 2016 09 22.12586 00 09 44.749 +02 40 31.82 24.5g 13SA113 W84 C~52RV 2016 12 05.07754 00 05 30.082 +02 17 30.56 23.5r 13SA113 W84 C~52RV 2017 09 27.17592 00 13 13.750 +03 34 13.18 24.2r 13SA113 W84 C~52RV 2021 11 05.117140 00 25 58.904 +07 00 54.64 23.9G 13SA113 G37 C~5BQk 2021 11 05.166880 00 25 58.712 +07 00 53.61 13SA113 G37 C~5BQk 2021 11 05.215510 00 25 58.526 +07 00 52.42 13SA113 G37 C~5BQk
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 -0.06 0.00 0.06
2 0.0000 0.00 -0.07 0.00 -0.15
3 0.0354 0.00 0.10 0.00 0.04
4 0.0764 0.00 0.05 0.00 0.03
5 2.1025 0.00 0.05 0.00 0.04
6 2.9787 0.00 0.19 0.00 -0.11
7 2.9787 0.00 -0.19 0.00 0.12
8 3.1812 0.00 -0.08 0.00 -0.01
9 3.9919 0.00 0.06 0.00 0.01
10 8.0985 0.00 0.05 0.00 -0.03
11 8.0986 0.00 -0.02 0.00 0.05
12 8.0987 0.00 -0.05 0.00 -0.04
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.
13SA113 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.553 40.553 40.553 ecceobj 0.036 0.036 0.036 incobj 20.505 20.505 20.505 qmin 37.986 37.990 37.980 qmax 43.019 43.022 43.026 amean 40.402 40.402 40.403 amin 40.096 40.099 40.101 amax 40.708 40.713 40.722 emean 0.043 0.043 0.043 emin 0.031 0.031 0.031 emax 0.058 0.058 0.058 imean 20.654 20.655 20.655 imin 19.983 19.984 19.982 imax 21.216 21.225 21.216 excite_mean 0.355 0.355 0.355 fracstop 1.000 1.000 1.000 cjmean 2.910 2.910 2.910 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 181.7 181.4 181.4 kozaiamp 180.0 179.9 180.0