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: 13RH124 # Created Fri Nov 22 02:09:30 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 5.03y # First observation: 2013/09/09 # Last observation: 2018/09/21 # Chi-squared of fit: 7.57 DOF: 58 RMS: 0.09 # Min/Max residuals: -0.26 0.16 # Exact a, adot, b, bdot, g, gdot: 1.225129E-05 1.534262E-02 -8.180652E-06 -1.025447E-02 2.122225E-02 -3.290607E-04 # Covariance matrix: 1.6073E-13 -1.4585E-14 4.2275E-15 -1.2387E-14 1.0892E-13 2.8306E-13 -1.4585E-14 1.2428E-13 3.4848E-14 -8.5858E-14 1.2678E-13 2.0292E-12 4.2275E-15 3.4848E-14 1.1441E-13 -6.1109E-14 3.9082E-14 6.7215E-13 -1.2387E-14 -8.5858E-14 -6.1109E-14 8.8704E-14 -9.9427E-14 -1.6537E-12 1.0892E-13 1.2678E-13 3.9082E-14 -9.9427E-14 2.9104E-13 2.3344E-12 2.8306E-13 2.0292E-12 6.7215E-13 -1.6537E-12 2.3344E-12 3.9094E-11 # lat0 lon0 xBary yBary zBary JD0 -12.465217 18.200854 0.529606 -0.185042 -0.837540 2456544.852658 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 203.34859 +/- 0.197 Argument of Peri: 1.45237 +/- 0.196 Long of Asc Node: 180.04955 +/- 0.000 Inclination: 35.80480 +/- 0.000 Eccentricity: 0.08591707 +/- 0.0001 Semi-Major Axis: 44.41237865 +/- 0.0033 Time of Perihelion: 2503586.5539 +/- 59.6 Perihelion: 40.59659719 +/- 0.0060 Aphelion: 48.22816012 +/- 0.0063 Period (y) 295.9813 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.68731954 +/- 0.0011 Ecliptic Y 14.13885581 +/- 0.0004 Ecliptic Z -10.17118255 +/- 0.0003 Ecliptic XDOT -0.00093506 +/- 0.0000 Ecliptic YDOT 0.00177701 +/- 0.0000 Ecliptic ZDOT -0.00128243 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.96163767 +/- 0.0010 Geocenter to KBO 47.12040130 +/- 0.0012 # Hcoef: 6.41
The following table shows the complete astrometric record for 13RH124. 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 (13RH124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.35188 01 26 03.813 -04 24 00.02 24.0g 13RH124 W84 C~4yQs 2013 09 10.34206 01 26 00.745 -04 24 33.82 23.6g 13RH124 W84 C~4yQs 2013 09 10.34206 01 26 00.75 -04 24 33.8 23.8g 13RH124 W84 C~3clA 2013 09 12.38865 01 25 54.228 -04 25 43.68 23.6g 13RH124 W84 C~4yQs 2013 10 02.28369 01 24 42.681 -04 36 53.62 23.9g 13RH124 W84 C~4yQs 2013 10 02.28508 01 24 42.668 -04 36 53.79 23.0r 13RH124 W84 C~4yQs 2013 10 02.28508 01 24 42.67 -04 36 53.8 23.1r 13RH124 W84 C~3clA 2013 10 04.19728 01 24 35.209 -04 37 55.58 23.7g 13RH124 W84 C~4yQs 2013 11 03.05351 01 22 37.09 -04 51 47.0 23.4r 13RH124 W84 C~3clA 2013 11 03.11582 01 22 36.85 -04 51 48.4 13RH124 W84 C~3clA 2013 11 03.20125 01 22 36.53 -04 51 50.4 13RH124 W84 C~3clA 2014 10 30.21535 01 27 02.702 -05 02 56.94 23.7g 13RH124 W84 C~4yQs 2014 10 30.21671 01 27 02.711 -05 02 57.11 22.8r 13RH124 W84 C~4yQs 2014 10 30.21671 01 27 02.71 -05 02 57.2 23.4r 13RH124 W84 C~3clA 2014 12 12.05876 01 24 50.904 -05 12 23.98 22.7i 13RH124 W84 C~4yQs 2014 12 12.05876 01 24 50.90 -05 12 24.0 23.0i 13RH124 W84 C~3clA 2014 12 16.11094 01 24 43.852 -05 12 24.59 23.2r 13RH124 W84 C~4yQs 2014 12 16.11094 01 24 43.85 -05 12 24.6 23.2r 13RH124 W84 C~3clA 2014 12 16.11366 01 24 43.849 -05 12 24.73 23.3i 13RH124 W84 C~4yQs 2016 08 16.42183 01 39 25.838 -04 48 32.44 23.4r 13RH124 W84 C~4yQs 2016 08 16.42183 01 39 25.84 -04 48 32.4 23.5r 13RH124 W84 C~3clA 2016 08 29.34532 01 39 01.308 -04 55 32.97 23.7g 13RH124 W84 C~4yQs 2016 08 29.34532 01 39 01.31 -04 55 33.0 23.8g 13RH124 W84 C~3clA 2016 10 26.26726 01 35 37.023 -05 26 50.48 23.5g 13RH124 W84 C~4yQs 2016 11 07.14505 01 34 50.580 -05 31 23.27 22.8i 13RH124 W84 C~4yQs 2016 11 07.14505 01 34 50.58 -05 31 23.3 22.7i 13RH124 W84 C~3clA 2016 11 25.07957 01 33 48.763 -05 36 01.16 22.6r 13RH124 W84 C~4yQs 2016 11 25.07957 01 33 48.77 -05 36 01.1 23.0r 13RH124 W84 C~3clA 2017 10 22.24122 01 40 05.232 -05 37 28.42 23.8g 13RH124 W84 C~4yQs 2017 11 23.14423 01 38 05.255 -05 48 07.98 23.1r 13RH124 W84 C~4yQs 2017 11 23.14561 01 38 05.240 -05 48 08.06 23.4g 13RH124 W84 C~4yQs 2018 09 21.35873 01 46 16.743 -05 33 16.86 22.9i 13RH124 W84 C~4yQs
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 -0.20 0.00 0.04 2 0.0027 0.00 0.06 0.00 0.02 3 0.0027 0.00 -0.01 0.00 -0.00 4 0.0083 0.00 -0.02 0.00 0.01 5 0.0628 0.00 0.14 0.00 0.11 6 0.0628 0.00 0.03 0.00 -0.01 7 0.0628 0.00 0.06 0.00 -0.02 8 0.0680 0.00 -0.00 0.00 0.11 9 0.1498 0.00 -0.06 0.00 0.00 10 0.1499 0.00 -0.07 0.00 -0.01 11 0.1502 0.00 0.05 0.00 -0.11 12 1.1386 0.00 -0.11 0.00 0.14 13 1.1386 0.00 0.09 0.00 -0.08 14 1.1386 0.00 0.11 0.00 0.01 15 1.2559 0.00 0.05 0.00 -0.05 16 1.2559 0.00 -0.01 0.00 -0.07 17 1.2670 0.00 -0.03 0.00 -0.01 18 1.2670 0.00 -0.00 0.00 0.00 19 1.2670 0.00 0.02 0.00 -0.14 20 2.9352 0.00 0.02 0.00 0.12 21 2.9352 0.00 -0.01 0.00 0.08 22 2.9706 0.00 -0.01 0.00 -0.01 23 2.9706 0.00 -0.04 0.00 0.02 24 3.1291 0.00 -0.26 0.00 -0.25 25 3.1617 0.00 0.02 0.00 -0.08 26 3.1617 0.00 0.02 0.00 -0.05 27 3.2108 0.00 0.09 0.00 0.15 28 3.2108 0.00 -0.01 0.00 0.09 29 4.1174 0.00 0.16 0.00 -0.04 30 4.2048 0.00 0.11 0.00 0.09 31 4.2048 0.00 -0.05 0.00 0.02 32 5.0322 0.00 -0.01 0.00 -0.04
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.
13RH124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.587 44.587 44.587 ecceobj 0.081 0.081 0.081 incobj 35.687 35.687 35.687 qmin 39.583 39.582 39.583 qmax 49.344 49.347 49.346 amean 44.369 44.369 44.369 amin 44.027 44.029 44.026 amax 44.724 44.724 44.725 emean 0.091 0.091 0.091 emin 0.080 0.080 0.080 emax 0.103 0.103 0.103 imean 35.409 35.409 35.409 imin 35.181 35.180 35.181 imax 35.640 35.641 35.639 excite_mean 0.587 0.587 0.587 fracstop 1.000 1.000 1.000 cjmean 2.649 2.649 2.649 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 154.8 154.8 154.8 kozaiamp 180.0 180.0 180.0