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: 13RH109 # Created Sun Dec 22 02:09:31 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 9.99y # First observation: 2013/09/08 # Last observation: 2023/09/06 # Chi-squared of fit: 7.55 DOF: 52 RMS: 0.09 # Min/Max residuals: -0.16 0.27 # Exact a, adot, b, bdot, g, gdot: 1.438303E-05 2.532637E-02 -3.047130E-06 -3.617861E-03 2.633208E-02 -7.350986E-04 # Covariance matrix: 1.7057E-13 -4.9332E-14 -1.8630E-15 3.9092E-15 8.6448E-14 -1.1902E-13 -4.9332E-14 3.9071E-14 6.4968E-15 -5.0093E-15 4.5540E-14 1.4722E-13 -1.8630E-15 6.4968E-15 1.1929E-13 -1.9530E-14 2.9161E-14 3.0444E-14 3.9092E-15 -5.0093E-15 -1.9530E-14 5.8066E-15 -9.9303E-15 -2.2046E-14 8.6448E-14 4.5540E-14 2.9161E-14 -9.9303E-15 7.0959E-13 2.7088E-13 -1.1902E-13 1.4722E-13 3.0444E-14 -2.2046E-14 2.7088E-13 6.4554E-13 # lat0 lon0 xBary yBary zBary JD0 12.678697 -32.014725 -0.299740 0.211409 -0.939375 2456543.587155 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 198.29347 +/- 0.044 Argument of Peri: 287.30046 +/- 0.033 Long of Asc Node: 204.43184 +/- 0.000 Inclination: 14.81625 +/- 0.000 Eccentricity: 0.07493758 +/- 0.0001 Semi-Major Axis: 36.31417257 +/- 0.0040 Time of Perihelion: 2492448.0767 +/- 12.2 Perihelion: 33.59287622 +/- 0.0047 Aphelion: 39.03546892 +/- 0.0052 Period (y) 218.8378 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.39090731 +/- 0.0010 Ecliptic Y -19.89521607 +/- 0.0006 Ecliptic Z 8.33509970 +/- 0.0003 Ecliptic XDOT 0.00139660 +/- 0.0000 Ecliptic YDOT 0.00222741 +/- 0.0000 Ecliptic ZDOT -0.00038363 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.91613265 +/- 0.0009 Geocenter to KBO 37.97654840 +/- 0.0012 # Hcoef: 7.48
The following table shows the complete astrometric record for 13RH109. 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 (13RH109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.086377 21 43 16.01 -00 14 59.8 23.4g 13RH109 W84 C~35bW 2013 09 08.08691 21 43 16.019 -00 15 00.09 23.5g 13RH109 W84 C~4yQp 2013 09 10.19465 21 43 06.716 -00 16 09.49 23.5r 13RH109 W84 C~4yQp 2013 09 10.19603 21 43 06.711 -00 16 09.54 23.4i 13RH109 W84 C~4yQp 2013 09 11.20192 21 43 02.349 -00 16 42.98 23.1r 13RH109 W84 C~4yQp 2013 09 13.13762 21 42 54.08 -00 17 47.4 23.2i 13RH109 W84 C~3cl8 2013 09 23.04281 21 42 14.797 -00 23 20.44 23.6g 13RH109 W84 C~4yQp 2013 09 24.04249 21 42 11.141 -00 23 54.22 23.7g 13RH109 W84 C~4yQp 2013 10 10.08069 21 41 22.005 -00 32 41.88 23.4r 13RH109 W84 C~4yQp 2016 08 31.25033 22 01 05.322 +00 42 02.43 23.7i 13RH109 W84 C~4yQp 2016 09 03.22048 22 00 51.270 +00 40 27.20 23.4r 13RH109 W84 C~4yQp 2016 09 03.22185 22 00 51.252 +00 40 27.12 23.4g 13RH109 W84 C~4yQp 2016 09 26.07986 21 59 13.153 +00 27 32.56 23.2i 13RH109 W84 C~4yQp 2016 09 26.08124 21 59 13.138 +00 27 32.49 23.2r 13RH109 W84 C~4yQp 2016 09 26.08262 21 59 13.141 +00 27 32.37 23.7g 13RH109 W84 C~4yQp 2017 10 11.12569 22 04 08.413 +00 36 44.79 23.7r 13RH109 W84 C~4yQp 2017 10 11.12706 22 04 08.414 +00 36 44.70 23.2i 13RH109 W84 C~4yQp 2017 10 11.12843 22 04 08.403 +00 36 44.69 24.0g 13RH109 W84 C~4yQp 2017 10 21.04892 22 03 44.391 +00 31 29.45 23.7i 13RH109 W84 C~4yQp 2017 10 22.045833 22 03 42.44 +00 30 59.6 23.0r 13RH109 W84 C~35bW 2017 10 22.04636 22 03 42.446 +00 30 59.57 22.8r 13RH109 W84 C~4yQp 2018 09 17.20946 22 11 22.551 +01 08 12.88 23.2i 13RH109 W84 C~4yQp 2018 09 17.21084 22 11 22.546 +01 08 12.76 23.4r 13RH109 W84 C~4yQp 2020 08 12.264330 22 25 46.256 +02 01 47.31 23.1G 13RH109 G37 C~441T 2020 08 12.313420 22 25 46.022 +02 01 46.01 13RH109 G37 C~441T 2020 08 12.403910 22 25 45.598 +02 01 43.86 13RH109 G37 C~441T 2023 09 06.260420 22 41 23.132 +02 43 14.02 23.1G 13RH109 G37 C~7Ax2 2023 09 06.296530 22 41 22.963 +02 43 12.97 13RH109 G37 C~7Ax2 2023 09 06.332990 22 41 22.783 +02 43 11.70 13RH109 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 0.10 0.00 0.23
2 0.0000 0.00 0.27 0.00 -0.05
3 0.0058 0.00 -0.02 0.00 0.03
4 0.0058 0.00 -0.00 0.00 0.02
5 0.0085 0.00 -0.01 0.00 -0.07
6 0.0138 0.00 -0.16 0.00 -0.03
7 0.0409 0.00 -0.03 0.00 0.01
8 0.0437 0.00 -0.04 0.00 -0.10
9 0.0876 0.00 -0.02 0.00 -0.07
10 2.9792 0.00 -0.04 0.00 -0.01
11 2.9874 0.00 0.07 0.00 -0.13
12 2.9874 0.00 -0.10 0.00 -0.16
13 3.0499 0.00 0.08 0.00 0.07
14 3.0500 0.00 -0.07 0.00 0.05
15 3.0500 0.00 0.05 0.00 -0.03
16 4.0905 0.00 0.04 0.00 0.04
17 4.0905 0.00 0.12 0.00 -0.00
18 4.0905 0.00 0.01 0.00 0.03
19 4.1176 0.00 -0.12 0.00 -0.09
20 4.1204 0.00 -0.14 0.00 0.21
21 4.1204 0.00 -0.03 0.00 0.20
22 5.0243 0.00 0.01 0.00 0.09
23 5.0243 0.00 0.03 0.00 0.02
24 6.9272 0.00 0.06 0.00 -0.03
25 6.9274 0.00 0.00 0.00 -0.13
26 6.9276 0.00 0.02 0.00 -0.06
27 9.9936 0.00 -0.08 0.00 -0.07
28 9.9937 0.00 0.03 0.00 0.07
29 9.9938 0.00 -0.00 0.00 0.00
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.
13RH109 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.424 36.424 36.424 ecceobj 0.071 0.071 0.071 incobj 14.806 14.806 14.806 qmin 31.926 31.926 31.926 qmax 41.170 41.170 41.169 amean 36.479 36.479 36.479 amin 36.174 36.174 36.174 amax 36.793 36.793 36.793 emean 0.086 0.086 0.086 emin 0.054 0.054 0.054 emax 0.121 0.121 0.121 imean 16.092 16.092 16.092 imin 14.524 14.524 14.524 imax 17.842 17.842 17.842 excite_mean 0.291 0.291 0.291 fracstop 1.000 1.000 1.000 cjmean 2.933 2.933 2.933 libcent 0 179.8 179.8 179.8 libamp 0 56.5 56.5 56.5 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 180.5 180.5 180.5 kozaiamp 180.0 180.0 180.0