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: 13SP112
# Created Wed Dec 25 02:09:36 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 16 observations of 16
# Arc: 8.10y
# First observation: 2013/09/30
# Last observation: 2021/11/05
# Chi-squared of fit: 5.67 DOF: 26 RMS: 0.11
# Min/Max residuals: -0.18 0.34
# Exact a, adot, b, bdot, g, gdot:
1.271966E-05 1.923222E-02 -1.021569E-05 -1.525919E-02 2.386011E-02 3.350284E-03
# Covariance matrix:
3.0845E-13 -1.0510E-13 -5.3209E-14 5.0163E-14 -2.2427E-14 -4.1910E-13
-1.0510E-13 9.3866E-14 7.3754E-14 -7.0037E-14 -4.1955E-14 5.8661E-13
-5.3209E-14 7.3754E-14 3.2243E-13 -1.0993E-13 -4.2748E-14 5.3640E-13
5.0163E-14 -7.0037E-14 -1.0993E-13 7.3921E-14 4.2526E-14 -5.0977E-13
-2.2427E-14 -4.1955E-14 -4.2748E-14 4.2526E-14 3.0383E-13 -3.6179E-13
-4.1910E-13 5.8661E-13 5.3640E-13 -5.0977E-13 -3.6179E-13 4.2708E-12
# lat0 lon0 xBary yBary zBary JD0
4.415984 -5.462550 -0.212168 0.075469 -0.976007 2456565.604718
# Heliocentric elements and errors
Epoch: 2456566.5000 = 2013/10/01
Mean Anomaly: 31.00439 +/- 0.011
Argument of Peri: 125.65669 +/- 0.014
Long of Asc Node: 180.23275 +/- 0.000
Inclination: 38.68309 +/- 0.000
Eccentricity: 0.21735475 +/- 0.0001
Semi-Major Axis: 51.63226567 +/- 0.0082
Time of Perihelion: 2444895.6944 +/- 4.9
Perihelion: 40.40974762 +/- 0.0093
Aphelion: 62.85478373 +/- 0.0120
Period (y) 371.0137 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 42.59110953 +/- 0.0010
Ecliptic Y -3.85688456 +/- 0.0001
Ecliptic Z 3.22658321 +/- 0.0001
Ecliptic XDOT 0.00071966 +/- 0.0000
Ecliptic YDOT 0.00214615 +/- 0.0000
Ecliptic ZDOT -0.00171599 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.88683812 +/- 0.0010
Geocenter to KBO 41.91090377 +/- 0.0010
# Hcoef: 7.73
The following table shows the complete astrometric record for 13SP112. 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 (13SP112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.10394 23 32 56.752 +01 53 05.17 23.6r 13SP112 W84 C~52RU 2013 09 30.12961 23 32 56.640 +01 53 04.14 23.2i 13SP112 W84 C~52RU 2013 10 11.11655 23 32 13.245 +01 46 15.38 24.2z 13SP112 W84 C~52RU 2013 10 28.03378 23 31 16.444 +01 36 26.21 23.5r 13SP112 W84 C~52RU 2015 11 07.04245 23 41 33.925 +00 48 12.17 23.9r 13SP112 W84 C~52RU 2016 10 09.14020 23 48 25.115 +00 41 49.76 23.7r 13SP112 W84 C~52RU 2017 07 30.46349 23 58 03.48 +00 58 48.1 24.8r 13SP112 T09 C~8Pzk 2017 07 30.49131 23 58 03.42 +00 58 47.8 24.7r 13SP112 T09 C~8Pzk 2017 07 30.53293 23 58 03.32 +00 58 46.7 24.1r 13SP112 T09 C~8Pzk 2017 07 30.56707 23 58 03.24 +00 58 46.1 24.2r 13SP112 T09 C~8Pzk 2017 07 30.60990 23 58 03.14 +00 58 45.1 24.3r 13SP112 T09 C~8Pzk 2017 09 18.22364 23 55 10.091 +00 33 02.09 23.9i 13SP112 W84 C~52RU 2017 09 27.15527 23 54 32.399 +00 27 34.92 23.5i 13SP112 W84 C~52RU 2021 11 05.089140 00 12 53.271 -01 18 03.41 24.1G 13SP112 G37 C~5BQk 2021 11 05.138910 00 12 53.125 -01 18 04.68 13SP112 G37 C~5BQk 2021 11 05.187510 00 12 52.963 -01 18 06.01 13SP112 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 -0.00 0.00 0.02
2 0.0001 0.00 -0.07 0.00 -0.04
3 0.0302 0.00 0.02 0.00 -0.11
4 0.0765 0.00 0.08 0.00 0.05
5 2.1025 0.00 -0.08 0.00 -0.03
6 3.0254 0.00 -0.06 0.00 0.16
7 3.8312 0.00 -0.04 0.00 -0.15
8 3.8313 0.00 0.01 0.00 0.17
9 3.8314 0.00 -0.04 0.00 -0.00
10 3.8315 0.00 -0.06 0.00 0.16
11 3.8316 0.00 -0.07 0.00 0.11
12 3.9675 0.00 0.34 0.00 -0.18
13 3.9919 0.00 0.09 0.00 -0.06
14 8.0985 0.00 -0.05 0.00 -0.02
15 8.0987 0.00 0.07 0.00 0.01
16 8.0988 0.00 -0.10 0.00 -0.06
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.
13SP112 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 51.910 51.910 51.910 ecceobj 0.221 0.221 0.221 incobj 38.585 38.585 38.585 qmin 39.044 39.058 39.031 qmax 64.983 64.970 64.942 amean 51.696 51.699 51.697 amin 51.178 51.178 51.178 amax 52.258 52.249 52.276 emean 0.226 0.226 0.226 emin 0.208 0.209 0.209 emax 0.244 0.244 0.244 imean 38.136 38.140 38.135 imin 37.789 37.793 37.786 imax 38.441 38.436 38.433 excite_mean 0.658 0.658 0.658 fracstop 1.000 1.000 1.000 cjmean 2.591 2.591 2.591 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 222.2 222.6 221.9 kozaiamp 108.3 109.1 107.9