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: 13RM157 # Created Thu Apr 25 01:14:55 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 5.00y # First observation: 2013/09/10 # Last observation: 2018/09/11 # Chi-squared of fit: 10.04 DOF: 48 RMS: 0.11 # Min/Max residuals: -0.26 0.23 # Exact a, adot, b, bdot, g, gdot: 1.385380E-05 1.861073E-02 -3.476845E-06 -4.177027E-03 2.096175E-02 6.748101E-03 # Covariance matrix: 2.6519E-13 -4.3898E-14 3.9342E-15 -5.0997E-15 1.9124E-13 2.3621E-13 -4.3898E-14 2.0271E-13 2.2437E-14 -4.6148E-14 1.9849E-13 2.4777E-12 3.9342E-15 2.2437E-14 1.6002E-13 -4.8836E-14 3.1337E-14 3.1072E-13 -5.0997E-15 -4.6148E-14 -4.8836E-14 3.0106E-14 -5.9132E-14 -6.3222E-13 1.9124E-13 1.9849E-13 3.1337E-14 -5.9132E-14 5.5548E-13 3.1079E-12 2.3621E-13 2.4777E-12 3.1072E-13 -6.3222E-13 3.1079E-12 3.3857E-11 # lat0 lon0 xBary yBary zBary JD0 -6.413074 23.206649 0.588195 -0.091297 -0.813184 2456545.871828 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 47.32400 +/- 0.020 Argument of Peri: 121.18366 +/- 0.015 Long of Asc Node: 176.56170 +/- 0.001 Inclination: 14.17052 +/- 0.000 Eccentricity: 0.34787020 +/- 0.0003 Semi-Major Axis: 56.72078309 +/- 0.0128 Time of Perihelion: 2436035.3191 +/- 11.1 Perihelion: 36.98931276 +/- 0.0186 Aphelion: 76.45225341 +/- 0.0239 Period (y) 427.1904 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.55494995 +/- 0.0016 Ecliptic Y 18.46573592 +/- 0.0007 Ecliptic Z -5.32873780 +/- 0.0002 Ecliptic XDOT -0.00021503 +/- 0.0000 Ecliptic YDOT 0.00255406 +/- 0.0000 Ecliptic ZDOT -0.00064046 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.52318918 +/- 0.0014 Geocenter to KBO 47.70571587 +/- 0.0017 # Hcoef: 6.58
The following table shows the complete astrometric record for 13RM157. 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 (13RM157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.37105 01 35 22.961 +03 03 15.80 24.3g 13RM157 W84 C~52RO 2013 09 10.37398 01 35 22.956 +03 03 15.59 23.3r 13RM157 W84 C~52RO 2013 09 10.37537 01 35 22.959 +03 03 15.49 23.2i 13RM157 W84 C~52RO 2013 10 04.18686 01 34 01.326 +02 52 51.24 24.5g 13RM157 W84 C~52RO 2013 10 13.20151 01 33 26.488 +02 48 53.08 22.9i 13RM157 W84 C~52RO 2013 10 13.20436 01 33 26.477 +02 48 53.17 22.5z 13RM157 W84 C~52RO 2013 11 22.15754 01 30 59.489 +02 34 29.85 23.6i 13RM157 W84 C~52RO 2014 10 21.26080 01 37 15.264 +02 55 41.29 23.4r 13RM157 W84 C~52RO 2014 10 23.25416 01 37 07.467 +02 54 52.50 22.8i 13RM157 W84 C~52RO 2014 10 28.21863 01 36 48.111 +02 52 53.95 22.9i 13RM157 W84 C~52RO 2014 12 13.11163 01 34 25.659 +02 40 59.35 22.8z 13RM157 W84 C~52RO 2015 11 06.18365 01 40 30.917 +02 59 36.61 23.4i 13RM157 W84 C~52RO 2016 08 26.34334 01 48 40.431 +03 37 58.23 23.7r 13RM157 W84 C~52RO 2016 10 27.22292 01 45 18.528 +03 12 43.33 23.7r 13RM157 W84 C~52RO 2016 10 28.23976 01 45 14.601 +03 12 19.98 23.1i 13RM157 W84 C~52RO 2016 10 29.18071 01 45 10.963 +03 11 58.36 23.3z 13RM157 W84 C~52RO 2016 11 05.14930 01 44 44.428 +03 09 26.46 22.9i 13RM157 W84 C~52RO 2016 11 05.15068 01 44 44.446 +03 09 26.35 23.6r 13RM157 W84 C~52RO 2017 08 22.36990 01 52 53.976 +03 48 35.82 23.5r 13RM157 W84 C~52RO 2017 08 22.37127 01 52 53.979 +03 48 35.66 23.8i 13RM157 W84 C~52RO 2017 08 22.37263 01 52 53.990 +03 48 35.69 24.3g 13RM157 W84 C~52RO 2017 08 22.40850 01 52 53.937 +03 48 35.02 22.6z 13RM157 W84 C~52RO 2017 08 27.35830 01 52 45.504 +03 46 56.76 23.9r 13RM157 W84 C~52RO 2017 08 27.35967 01 52 45.491 +03 46 56.82 23.1i 13RM157 W84 C~52RO 2018 09 11.34733 01 56 15.980 +03 50 36.79 23.7r 13RM157 W84 C~52RO 2018 09 11.34871 01 56 15.974 +03 50 36.71 23.3i 13RM157 W84 C~52RO 2018 09 11.36949 01 56 15.934 +03 50 36.24 24.1g 13RM157 W84 C~52RO
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 0.01 0.00 0.08
2 0.0000 0.00 0.07 0.00 -0.06
3 0.0000 0.00 0.18 0.00 -0.13
4 0.0652 0.00 -0.22 0.00 -0.14
5 0.0899 0.00 -0.02 0.00 -0.09
6 0.0899 0.00 -0.01 0.00 0.08
7 0.1993 0.00 -0.10 0.00 -0.00
8 1.1113 0.00 -0.08 0.00 -0.01
9 1.1167 0.00 0.19 0.00 0.16
10 1.1303 0.00 0.03 0.00 0.11
11 1.2560 0.00 -0.04 0.00 0.07
12 2.1542 0.00 0.23 0.00 0.04
13 2.9595 0.00 -0.17 0.00 -0.03
14 3.1290 0.00 -0.05 0.00 -0.04
15 3.1317 0.00 0.11 0.00 0.03
16 3.1343 0.00 -0.00 0.00 -0.13
17 3.1534 0.00 -0.26 0.00 0.10
18 3.1534 0.00 0.09 0.00 0.02
19 3.9480 0.00 -0.13 0.00 0.08
20 3.9480 0.00 -0.05 0.00 -0.06
21 3.9480 0.00 0.15 0.00 -0.00
22 3.9481 0.00 0.21 0.00 0.01
23 3.9616 0.00 0.00 0.00 0.00
24 3.9616 0.00 -0.15 0.00 0.09
25 5.0020 0.00 -0.02 0.00 -0.02
26 5.0020 0.00 -0.05 0.00 -0.06
27 5.0020 0.00 0.20 0.00 -0.05
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.
13RM157 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.189 57.189 57.189 ecceobj 0.352 0.352 0.352 incobj 14.128 14.128 14.128 qmin 36.210 36.230 36.159 qmax 77.963 78.092 78.038 amean 56.644 56.691 56.686 amin 56.018 56.071 56.074 amax 57.399 57.481 57.462 emean 0.345 0.345 0.345 emin 0.331 0.332 0.332 emax 0.360 0.360 0.360 imean 14.150 14.150 14.150 imin 13.419 13.444 13.394 imax 14.692 14.703 14.699 excite_mean 0.423 0.423 0.423 fracstop 1.000 1.000 1.000 cjmean 3.028 3.028 3.028 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 185.8 185.2 185.2 kozaiamp 179.9 179.9 180.0