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: 13SJ112 # Created Wed Jul 17 01:10:02 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 9.08y # First observation: 2013/09/29 # Last observation: 2022/10/29 # Chi-squared of fit: 8.16 DOF: 34 RMS: 0.11 # Min/Max residuals: -0.19 0.24 # Exact a, adot, b, bdot, g, gdot: 1.486330E-05 2.213042E-02 4.557876E-07 -2.585815E-05 2.333662E-02 -1.384776E-04 # Covariance matrix: 7.0528E-13 -3.0935E-13 -6.7562E-15 7.7494E-16 4.5176E-13 -1.3553E-12 -3.0935E-13 1.7221E-13 3.0991E-15 -3.6956E-16 -2.0426E-13 8.1572E-13 -6.7562E-15 3.0991E-15 2.2353E-13 -3.6874E-14 -1.0393E-14 1.5090E-14 7.7494E-16 -3.6956E-16 -3.6874E-14 9.0312E-15 1.1128E-15 -1.8072E-15 4.5176E-13 -2.0426E-13 -1.0393E-14 1.1128E-15 7.1162E-13 -9.9289E-13 -1.3553E-12 8.1572E-13 1.5090E-14 -1.8072E-15 -9.9289E-13 4.0794E-12 # lat0 lon0 xBary yBary zBary JD0 -3.931197 4.841566 -0.018617 -0.068574 -0.999408 2456564.727618 # Heliocentric elements and errors Epoch: 2456564.5000 = 2013/09/29 Mean Anomaly: 259.32597 +/- 0.827 Argument of Peri: 10.55696 +/- 0.808 Long of Asc Node: 95.92507 +/- 0.004 Inclination: 3.84213 +/- 0.000 Eccentricity: 0.00833174 +/- 0.0001 Semi-Major Axis: 43.77988444 +/- 0.0073 Time of Perihelion: 2486153.1610 +/- 243.9 Perihelion: 43.41512202 +/- 0.0087 Aphelion: 44.14464685 +/- 0.0088 Period (y) 289.6811 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.59389678 +/- 0.0015 Ecliptic Y 3.71433662 +/- 0.0001 Ecliptic Z -2.93781453 +/- 0.0001 Ecliptic XDOT -0.00024166 +/- 0.0000 Ecliptic YDOT 0.00258437 +/- 0.0000 Ecliptic ZDOT -0.00000177 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.85037453 +/- 0.0015 Geocenter to KBO 42.85115207 +/- 0.0015 # Hcoef: 7.12
The following table shows the complete astrometric record for 13SJ112. 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 (13SJ112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.22684 00 24 00.577 -01 41 06.61 23.4r 13SJ112 W84 C~52RU 2013 11 23.11061 00 20 45.792 -01 59 28.42 23.7r 13SJ112 W84 C~52RU 2013 11 23.11202 00 20 45.798 -01 59 28.33 23.1i 13SJ112 W84 C~52RU 2014 11 14.09252 00 25 45.635 -01 27 58.10 22.9i 13SJ112 W84 C~52RU 2014 11 17.05295 00 25 37.529 -01 28 37.08 22.8z 13SJ112 W84 C~52RU 2016 09 09.31637 00 39 19.229 -00 01 47.62 23.1i 13SJ112 W84 C~52RU 2016 09 09.31912 00 39 19.196 -00 01 47.54 24.1g 13SJ112 W84 C~52RU 2016 09 10.34194 00 39 15.212 -00 02 15.46 23.1z 13SJ112 W84 C~52RU 2016 10 01.20395 00 37 48.360 -00 11 53.05 22.8r 13SJ112 W84 C~52RU 2016 11 08.13562 00 35 16.944 -00 26 47.01 22.8z 13SJ112 W84 C~52RU 2017 09 18.25253 00 43 23.157 +00 24 18.86 23.7i 13SJ112 W84 C~52RU 2017 09 18.25390 00 43 23.145 +00 24 18.85 24.0r 13SJ112 W84 C~52RU 2017 10 22.15936 00 40 59.303 +00 09 12.88 23.1z 13SJ112 W84 C~52RU 2019 09 27.32266 00 52 05.95 +01 20 35.6 24.0g 13SJ112 T09 C~7bIB 2019 09 27.33669 00 52 05.90 +01 20 35.4 24.3g 13SJ112 T09 C~7bIB 2019 09 27.41716 00 52 05.55 +01 20 33.1 24.7g 13SJ112 T09 C~7bIB 2019 09 27.59259 00 52 04.79 +01 20 28.3 24.0g 13SJ112 T09 C~7bIB 2022 10 29.255780 01 03 50.438 +02 37 05.03 23.5G 13SJ112 G37 C~5z0K 2022 10 29.294460 01 03 50.284 +02 37 03.74 13SJ112 G37 C~5z0K 2022 10 29.333020 01 03 50.132 +02 37 03.17 13SJ112 G37 C~5z0K
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 -0.08
2 0.1503 0.00 -0.13 0.00 -0.02
3 0.1503 0.00 0.00 0.00 0.08
4 1.1249 0.00 -0.00 0.00 0.10
5 1.1330 0.00 -0.06 0.00 -0.03
6 2.9462 0.00 0.21 0.00 0.00
7 2.9462 0.00 -0.13 0.00 0.16
8 2.9490 0.00 -0.13 0.00 -0.08
9 3.0061 0.00 0.19 0.00 0.24
10 3.1099 0.00 0.13 0.00 -0.14
11 3.9700 0.00 0.11 0.00 -0.03
12 3.9700 0.00 0.01 0.00 -0.00
13 4.0628 0.00 0.04 0.00 -0.09
14 5.9934 0.00 -0.16 0.00 -0.16
15 5.9935 0.00 -0.01 0.00 0.02
16 5.9937 0.00 -0.05 0.00 -0.06
17 5.9942 0.00 -0.07 0.00 -0.02
18 9.0815 0.00 -0.10 0.00 0.20
19 9.0816 0.00 0.01 0.00 -0.19
20 9.0817 0.00 0.13 0.00 0.13
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.
13SJ112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.028 44.028 44.028 ecceobj 0.008 0.008 0.008 incobj 3.843 3.843 3.843 qmin 42.293 42.290 42.295 qmax 45.477 45.477 45.478 amean 43.806 43.806 43.806 amin 43.472 43.472 43.473 amax 44.142 44.142 44.142 emean 0.016 0.016 0.016 emin 0.000 0.000 0.000 emax 0.031 0.031 0.031 imean 2.171 2.171 2.171 imin 1.465 1.465 1.465 imax 2.788 2.788 2.788 excite_mean 0.041 0.041 0.041 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.097 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 166.6 166.7 166.5 kozaiamp 179.9 179.9 179.9