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: 13RM109 # Created Sun Dec 22 02:09:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 10.01y # First observation: 2013/09/03 # Last observation: 2023/09/06 # Chi-squared of fit: 12.50 DOF: 56 RMS: 0.11 # Min/Max residuals: -0.34 0.34 # Exact a, adot, b, bdot, g, gdot: 1.545844E-05 2.307175E-02 2.154083E-06 2.479709E-03 2.330749E-02 -4.282773E-03 # Covariance matrix: 1.2707E-13 -2.7061E-14 5.9418E-15 -1.3673E-15 1.2706E-13 -5.3481E-14 -2.7061E-14 3.4647E-14 -1.3941E-15 3.3113E-15 3.2629E-14 1.4579E-13 5.9418E-15 -1.3941E-15 8.3628E-14 -1.2393E-14 1.8793E-14 -4.2278E-15 -1.3673E-15 3.3113E-15 -1.2393E-14 4.4610E-15 4.4439E-15 1.5912E-14 1.2706E-13 3.2629E-14 1.8793E-14 4.4439E-15 5.8498E-13 2.2153E-13 -5.3481E-14 1.4579E-13 -4.2278E-15 1.5912E-14 2.2153E-13 7.0366E-13 # lat0 lon0 xBary yBary zBary JD0 13.283321 -34.372734 -0.259495 0.224311 -0.949803 2456538.675888 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 317.70917 +/- 0.016 Argument of Peri: 128.86870 +/- 0.021 Long of Asc Node: 261.14381 +/- 0.001 Inclination: 14.29964 +/- 0.000 Eccentricity: 0.22257814 +/- 0.0001 Semi-Major Axis: 50.74702000 +/- 0.0082 Time of Perihelion: 2472050.1497 +/- 28.9 Perihelion: 39.45184278 +/- 0.0076 Aphelion: 62.04219721 +/- 0.0108 Period (y) 361.5131 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.41744329 +/- 0.0011 Ecliptic Y -23.90857525 +/- 0.0008 Ecliptic Z 9.85814247 +/- 0.0003 Ecliptic XDOT 0.00106453 +/- 0.0000 Ecliptic YDOT 0.00255003 +/- 0.0000 Ecliptic ZDOT 0.00016804 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.85440580 +/- 0.0010 Geocenter to KBO 42.90483711 +/- 0.0014 # Hcoef: 6.59
The following table shows the complete astrometric record for 13RM109. 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 (13RM109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.17511 21 33 47.689 -00 26 40.60 24.2g 13RM109 W84 C~4yQp 2013 09 10.189942 21 33 19.98 -00 29 40.7 23.2r 13RM109 W84 C~35bX 2013 09 10.19047 21 33 19.965 -00 29 40.75 23.2r 13RM109 W84 C~4yQp 2013 09 10.191331 21 33 19.98 -00 29 40.6 23.0i 13RM109 W84 C~35bX 2013 09 10.19186 21 33 19.978 -00 29 40.59 22.9i 13RM109 W84 C~4yQp 2013 09 11.158935 21 33 16.31 -00 30 05.8 21.9i 13RM109 W84 C~35bX 2013 09 13.111632 21 33 09.02 -00 30 57.4 22.6i 13RM109 W84 C~35bX 2013 09 13.11216 21 33 09.017 -00 30 57.38 22.7i 13RM109 W84 C~4yQp 2013 09 13.123090 21 33 08.97 -00 30 57.6 22.3z 13RM109 W84 C~35bX 2013 09 13.12362 21 33 08.971 -00 30 57.63 22.6z 13RM109 W84 C~4yQp 2013 09 23.04418 21 32 34.775 -00 35 21.11 23.9g 13RM109 W84 C~4yQp 2013 09 24.04102 21 32 31.665 -00 35 47.61 24.0g 13RM109 W84 C~4yQp 2013 10 11.056944 21 31 47.89 -00 43 07.5 22.2z 13RM109 W84 C~35bX 2013 10 12.010069 21 31 46.06 -00 43 31.2 22.2z 13RM109 W84 C~35bX 2013 10 12.01059 21 31 46.067 -00 43 31.13 22.6z 13RM109 W84 C~4yQp 2016 08 25.233102 21 48 59.40 +01 20 22.1 22.8r 13RM109 W84 C~35bX 2016 08 25.23363 21 48 59.398 +01 20 22.13 22.7r 13RM109 W84 C~4yQp 2016 09 08.090579 21 48 00.90 +01 14 28.9 22.4i 13RM109 W84 C~35bX 2016 09 29.02101 21 46 45.647 +01 04 45.16 22.5z 13RM109 W84 C~4yQp 2017 10 10.08736 21 51 10.737 +01 34 28.92 23.9g 13RM109 W84 C~4yQp 2017 10 10.08873 21 51 10.747 +01 34 28.56 22.9r 13RM109 W84 C~4yQp 2017 10 22.036215 21 50 47.27 +01 29 12.2 23.1r 13RM109 W84 C~35bX 2017 10 22.03674 21 50 47.269 +01 29 12.27 23.2r 13RM109 W84 C~4yQp 2017 10 22.037593 21 50 47.26 +01 29 12.2 22.7i 13RM109 W84 C~35bX 2017 10 22.03812 21 50 47.267 +01 29 12.13 23.0i 13RM109 W84 C~4yQp 2020 08 12.254740 22 10 02.376 +03 46 29.16 23.0G 13RM109 G37 C~441T 2020 08 12.303790 22 10 02.173 +03 46 28.31 13RM109 G37 C~441T 2020 08 12.401050 22 10 01.744 +03 46 26.45 13RM109 G37 C~441T 2023 09 06.159140 22 23 51.312 +05 25 36.67 22.6G 13RM109 G37 C~7Ax2 2023 09 06.204860 22 23 51.107 +05 25 35.45 13RM109 G37 C~7Ax2 2023 09 06.243970 22 23 50.942 +05 25 33.96 13RM109 G37 C~7Ax2
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 0.07 0.00 -0.08
2 0.0192 0.00 -0.02 0.00 -0.06
3 0.0192 0.00 -0.21 0.00 -0.10
4 0.0192 0.00 0.06 0.00 0.07
5 0.0192 0.00 0.06 0.00 0.10
6 0.0219 0.00 0.09 0.00 0.18
7 0.0272 0.00 0.07 0.00 -0.09
8 0.0272 0.00 0.05 0.00 -0.05
9 0.0272 0.00 -0.04 0.00 0.02
10 0.0272 0.00 0.01 0.00 0.00
11 0.0544 0.00 -0.16 0.00 0.07
12 0.0571 0.00 0.34 0.00 0.08
13 0.1037 0.00 -0.08 0.00 0.05
14 0.1063 0.00 -0.04 0.00 -0.27
15 0.1063 0.00 0.08 0.00 -0.19
16 2.9762 0.00 -0.06 0.00 -0.01
17 2.9762 0.00 -0.05 0.00 0.04
18 3.0141 0.00 -0.08 0.00 0.03
19 3.0714 0.00 -0.12 0.00 0.17
20 4.1011 0.00 -0.11 0.00 0.26
21 4.1011 0.00 0.09 0.00 -0.06
22 4.1338 0.00 0.05 0.00 -0.03
23 4.1338 0.00 0.05 0.00 0.06
24 4.1338 0.00 -0.07 0.00 0.01
25 4.1338 0.00 0.05 0.00 -0.05
26 6.9407 0.00 -0.11 0.00 0.02
27 6.9408 0.00 0.07 0.00 0.07
28 6.9411 0.00 0.05 0.00 0.00
29 10.0068 0.00 -0.02 0.00 0.05
30 10.0069 0.00 -0.04 0.00 0.08
31 10.0070 0.00 0.09 0.00 -0.34
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.
13RM109 quality flag:3 Type: 11:5EEEEEE11:5EEEEEE11:5EEEEEE axisobj 51.029 51.029 51.030 ecceobj 0.226 0.226 0.226 incobj 14.309 14.309 14.309 qmin 38.641 38.644 38.651 qmax 63.742 63.738 63.744 amean 50.931 50.931 50.931 amin 50.447 50.443 50.442 amax 51.507 51.509 51.506 emean 0.225 0.225 0.225 emin 0.209 0.210 0.209 emax 0.239 0.239 0.239 imean 15.707 15.700 15.716 imin 15.357 15.340 15.366 imax 16.188 16.176 16.220 excite_mean 0.352 0.352 0.352 fracstop 1.000 1.000 1.000 cjmean 3.031 3.031 3.031 libcent 0 181.1 181.5 179.1 libamp 0 105.1 108.6 106.9 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 201.0 200.8 201.6 kozaiamp 179.9 180.0 180.0