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: 13RY157 # Created Sun Apr 21 01:15:00 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 5.16y # First observation: 2013/09/11 # Last observation: 2018/11/09 # Chi-squared of fit: 10.28 DOF: 46 RMS: 0.11 # Min/Max residuals: -0.27 0.22 # Exact a, adot, b, bdot, g, gdot: 1.596109E-05 2.267705E-02 -1.978559E-06 -8.541904E-04 2.370816E-02 -2.298958E-03 # Covariance matrix: 4.9863E-13 -9.1351E-14 -1.5012E-15 2.8104E-17 2.4803E-13 3.1385E-14 -9.1351E-14 2.2001E-13 4.7855E-15 -8.5332E-15 1.6895E-13 2.1247E-12 -1.5012E-15 4.7855E-15 2.7746E-13 -7.4313E-14 2.8521E-15 5.1018E-14 2.8104E-17 -8.5332E-15 -7.4313E-14 2.5198E-14 -8.2549E-15 -9.3612E-14 2.4803E-13 1.6895E-13 2.8521E-15 -8.2549E-15 4.6089E-13 2.1013E-12 3.1385E-14 2.1247E-12 5.1018E-14 -9.3612E-14 2.1013E-12 2.3347E-11 # lat0 lon0 xBary yBary zBary JD0 -0.892073 1.159257 0.222536 -0.015199 -0.982490 2456546.799288 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 282.37458 +/- 0.038 Argument of Peri: 292.05651 +/- 0.038 Long of Asc Node: 158.90214 +/- 0.004 Inclination: 2.32984 +/- 0.000 Eccentricity: 0.10884900 +/- 0.0002 Semi-Major Axis: 43.67373587 +/- 0.0054 Time of Perihelion: 2479278.1218 +/- 18.8 Perihelion: 38.91989329 +/- 0.0106 Aphelion: 48.42757846 +/- 0.0112 Period (y) 288.6282 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.15242002 +/- 0.0012 Ecliptic Y 0.65378277 +/- 0.0000 Ecliptic Z -0.65679842 +/- 0.0000 Ecliptic XDOT -0.00032610 +/- 0.0000 Ecliptic YDOT 0.00261167 +/- 0.0000 Ecliptic ZDOT -0.00009436 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.16243904 +/- 0.0012 Geocenter to KBO 42.17966659 +/- 0.0012 # Hcoef: 6.91
The following table shows the complete astrometric record for 13RY157. 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 (13RY157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.29851 00 05 40.416 -00 21 26.61 24.1g 13RY157 W84 C~52RP 2013 11 22.06122 00 01 21.475 -00 49 28.86 23.9r 13RY157 W84 C~52RP 2013 11 22.08831 00 01 21.431 -00 49 29.30 22.8i 13RY157 W84 C~52RP 2013 11 23.09553 00 01 19.678 -00 49 39.89 23.4i 13RY157 W84 C~52RP 2014 10 29.13068 00 07 15.219 -00 14 33.86 22.6z 13RY157 W84 C~52RP 2014 11 13.09960 00 06 29.566 -00 19 23.22 23.0z 13RY157 W84 C~52RP 2015 11 02.09653 00 11 53.254 +00 12 22.90 23.1r 13RY157 W84 C~52RP 2016 10 02.17611 00 18 46.473 +00 53 50.98 22.7i 13RY157 W84 C~52RP 2016 10 02.17749 00 18 46.458 +00 53 50.97 22.8r 13RY157 W84 C~52RP 2016 11 30.10650 00 15 32.808 +00 33 19.35 23.2i 13RY157 W84 C~52RP 2016 11 30.10788 00 15 32.798 +00 33 19.49 23.5r 13RY157 W84 C~52RP 2016 12 04.09067 00 15 27.684 +00 32 50.36 22.7z 13RY157 W84 C~52RP 2016 12 05.08620 00 15 26.616 +00 32 44.34 23.1r 13RY157 W84 C~52RP 2016 12 05.08759 00 15 26.612 +00 32 44.55 22.8i 13RY157 W84 C~52RP 2016 12 05.09585 00 15 26.613 +00 32 44.49 22.5z 13RY157 W84 C~52RP 2017 08 27.36996 00 26 10.05 +01 39 03.0 23.2r 13RY157 T09 C~7bI9 2017 08 27.38953 00 26 10.00 +01 39 02.2 23.1r 13RY157 T09 C~7bI9 2017 08 27.43359 00 26 09.84 +01 39 01.2 23.2r 13RY157 T09 C~7bI9 2017 09 27.19377 00 24 04.496 +01 25 01.83 23.6r 13RY157 W84 C~52RP 2017 09 27.19514 00 24 04.485 +01 25 01.60 23.7i 13RY157 W84 C~52RP 2017 09 27.19652 00 24 04.493 +01 25 01.63 24.3g 13RY157 W84 C~52RP 2017 10 12.18111 00 22 59.317 +01 17 55.89 23.3g 13RY157 W84 C~52RP 2017 10 22.18159 00 22 17.988 +01 13 29.14 23.2r 13RY157 W84 C~52RP 2017 10 22.18295 00 22 17.977 +01 13 29.13 22.6i 13RY157 W84 C~52RP 2018 10 18.15211 00 27 31.664 +01 44 06.00 22.9z 13RY157 W84 C~52RP 2018 11 09.14493 00 26 09.365 +01 35 23.67 22.8r 13RY157 W84 C~52RP
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 -0.27 0.00 0.20
2 0.1965 0.00 -0.08 0.00 -0.02
3 0.1965 0.00 0.02 0.00 -0.16
4 0.1993 0.00 0.19 0.00 -0.01
5 1.1303 0.00 0.17 0.00 -0.01
6 1.1713 0.00 0.07 0.00 -0.02
7 2.1404 0.00 0.03 0.00 0.01
8 3.0578 0.00 0.02 0.00 0.09
9 3.0578 0.00 -0.11 0.00 0.12
10 3.2192 0.00 0.06 0.00 -0.17
11 3.2192 0.00 -0.06 0.00 -0.02
12 3.2301 0.00 -0.02 0.00 -0.01
13 3.2328 0.00 -0.00 0.00 -0.14
14 3.2328 0.00 -0.04 0.00 0.08
15 3.2328 0.00 0.11 0.00 0.07
16 3.9591 0.00 -0.09 0.00 0.20
17 3.9592 0.00 0.22 0.00 -0.13
18 3.9593 0.00 0.19 0.00 -0.06
19 4.0435 0.00 -0.12 0.00 0.07
20 4.0435 0.00 -0.20 0.00 -0.12
21 4.0435 0.00 0.01 0.00 -0.05
22 4.0846 0.00 0.02 0.00 0.14
23 4.1119 0.00 0.06 0.00 -0.03
24 4.1119 0.00 -0.02 0.00 -0.00
25 5.1002 0.00 0.01 0.00 0.16
26 5.1604 0.00 -0.02 0.00 -0.12
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.
13RY157 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.909 43.909 43.909 ecceobj 0.108 0.108 0.108 incobj 2.323 2.323 2.323 qmin 38.410 38.413 38.407 qmax 49.460 49.458 49.461 amean 43.726 43.726 43.726 amin 43.308 43.317 43.307 amax 44.182 44.182 44.179 emean 0.108 0.108 0.108 emin 0.096 0.096 0.095 emax 0.120 0.120 0.120 imean 2.694 2.694 2.693 imin 1.813 1.813 1.813 imax 3.527 3.526 3.528 excite_mean 0.118 0.118 0.118 fracstop 1.000 1.000 1.000 cjmean 3.081 3.081 3.081 libcent 0 180.4 180.4 181.4 libamp 0 128.9 128.1 130.6 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 160.8 160.9 160.9 kozaiamp 180.0 180.0 180.0