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: 13RX124 # Created Sun Dec 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 5.15y # First observation: 2013/09/03 # Last observation: 2018/10/27 # Chi-squared of fit: 18.65 DOF: 46 RMS: 0.15 # Min/Max residuals: -0.51 0.42 # Exact a, adot, b, bdot, g, gdot: 1.889122E-05 3.968661E-02 9.144391E-07 1.053627E-03 3.244840E-02 4.459567E-03 # Covariance matrix: 1.5679E-13 -6.3620E-14 -3.3234E-15 -1.7637E-14 2.3849E-13 -2.7274E-13 -6.3620E-14 2.3636E-13 -1.3756E-14 -1.3085E-14 4.9429E-13 1.2197E-12 -3.3234E-15 -1.3756E-14 1.3984E-13 -3.0499E-14 -1.2286E-13 -3.7906E-14 -1.7637E-14 -1.3085E-14 -3.0499E-14 4.1055E-14 -3.8365E-13 7.6507E-14 2.3849E-13 4.9429E-13 -1.2286E-13 -3.8365E-13 6.6091E-12 4.3621E-13 -2.7274E-13 1.2197E-12 -3.7906E-14 7.6507E-14 4.3621E-13 7.7734E-12 # lat0 lon0 xBary yBary zBary JD0 -30.039423 -66.504502 -0.736994 -0.345556 -0.597708 2456538.519778 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 25.61171 +/- 0.027 Argument of Peri: 232.16406 +/- 0.039 Long of Asc Node: 20.55515 +/- 0.001 Inclination: 29.47751 +/- 0.000 Eccentricity: 0.24158311 +/- 0.0002 Semi-Major Axis: 39.38746585 +/- 0.0166 Time of Perihelion: 2450115.0034 +/- 7.9 Perihelion: 29.87211937 +/- 0.0156 Aphelion: 48.90281234 +/- 0.0226 Period (y) 247.1982 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.58761564 +/- 0.0008 Ecliptic Y -24.80345127 +/- 0.0019 Ecliptic Z -15.42740690 +/- 0.0012 Ecliptic XDOT 0.00321237 +/- 0.0000 Ecliptic YDOT 0.00099436 +/- 0.0000 Ecliptic ZDOT -0.00011127 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.42425583 +/- 0.0017 Geocenter to KBO 30.81813598 +/- 0.0024 # Hcoef: 8.11
The following table shows the complete astrometric record for 13RX124. 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 (13RX124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.01900 20 12 25.813 -50 48 46.32 23.9g 13RX124 W84 C~4yQt 2013 09 03.09107 20 12 25.32 -50 48 44.3 23.3r 13RX124 W84 C~3clA 2013 09 03.09245 20 12 25.284 -50 48 44.27 23.2i 13RX124 W84 C~4yQt 2013 09 04.05880 20 12 18.932 -50 48 16.66 23.1r 13RX124 W84 C~4yQt 2013 09 04.06019 20 12 18.902 -50 48 16.74 22.7i 13RX124 W84 C~4yQt 2013 09 08.00929 20 11 54.212 -50 46 14.39 23.6g 13RX124 W84 C~4yQt 2013 09 08.03581 20 11 54.010 -50 46 13.66 22.7r 13RX124 W84 C~4yQt 2013 09 08.03721 20 11 53.979 -50 46 13.55 22.7i 13RX124 W84 C~4yQt 2013 09 10.11414 20 11 41.935 -50 45 03.18 22.7z 13RX124 W84 C~4yQt 2013 09 23.09721 20 10 42.134 -50 36 16.44 23.0z 13RX124 W84 C~4yQt 2015 09 12.02686 20 38 03.603 -49 19 06.07 23.2r 13RX124 W84 C~4yQt 2016 09 09.04275 20 50 45.227 -48 30 01.17 22.5i 13RX124 W84 C~4yQt 2016 09 09.04413 20 50 45.227 -48 30 01.24 22.3z 13RX124 W84 C~4yQt 2016 09 24.00277 20 49 19.845 -48 22 27.05 23.3r 13RX124 W84 C~4yQt 2016 09 24.00414 20 49 19.838 -48 22 26.88 24.0g 13RX124 W84 C~4yQt 2016 10 02.01331 20 48 47.479 -48 16 55.74 23.5r 13RX124 W84 C~4yQt 2016 10 02.01469 20 48 47.474 -48 16 55.63 23.0i 13RX124 W84 C~4yQt 2016 10 02.01744 20 48 47.472 -48 16 55.49 23.4r 13RX124 W84 C~4yQt 2016 10 02.01882 20 48 47.448 -48 16 55.38 24.2g 13RX124 W84 C~4yQt 2016 10 06.00390 20 48 35.271 -48 13 49.99 23.2z 13RX124 W84 C~4yQt 2017 10 16.00038 20 59 58.982 -47 12 58.99 22.8z 13RX124 W84 C~4yQt 2017 10 16.00176 20 59 58.948 -47 12 58.82 23.5i 13RX124 W84 C~4yQt 2017 10 16.11534 20 59 58.756 -47 12 52.75 23.0r 13RX124 W84 C~4yQt 2017 10 16.11672 20 59 58.774 -47 12 52.66 24.2g 13RX124 W84 C~4yQt 2018 09 29.12259 21 12 08.224 -46 29 09.80 23.3i 13RX124 W84 C~4yQt 2018 10 27.08961 21 10 59.080 -46 07 00.29 22.6z 13RX124 W84 C~4yQt
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 0.17 0.00 -0.06
2 0.0002 0.00 0.17 0.00 -0.03
3 0.0002 0.00 -0.23 0.00 -0.04
4 0.0028 0.00 0.21 0.00 0.03
5 0.0029 0.00 -0.10 0.00 -0.09
6 0.0137 0.00 0.42 0.00 0.11
7 0.0137 0.00 -0.17 0.00 -0.02
8 0.0137 0.00 -0.51 0.00 0.05
9 0.0194 0.00 0.19 0.00 0.07
10 0.0550 0.00 -0.07 0.00 -0.02
11 2.0233 0.00 0.22 0.00 -0.02
12 3.0172 0.00 -0.18 0.00 0.01
13 3.0172 0.00 -0.04 0.00 -0.09
14 3.0581 0.00 0.06 0.00 0.07
15 3.0581 0.00 0.05 0.00 0.18
16 3.0801 0.00 -0.06 0.00 -0.05
17 3.0801 0.00 -0.06 0.00 -0.00
18 3.0801 0.00 0.06 0.00 0.01
19 3.0801 0.00 -0.23 0.00 0.06
20 3.0910 0.00 0.02 0.00 -0.14
21 4.1177 0.00 0.36 0.00 -0.08
22 4.1177 0.00 -0.12 0.00 0.01
23 4.1180 0.00 -0.17 0.00 0.02
24 4.1180 0.00 0.14 0.00 0.03
25 5.0708 0.00 0.08 0.00 -0.01
26 5.1474 0.00 -0.10 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.
13RX124 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.386 39.386 39.386 ecceobj 0.241 0.241 0.241 incobj 29.510 29.510 29.510 qmin 28.168 28.170 28.167 qmax 51.428 51.427 51.428 amean 39.454 39.454 39.454 amin 38.944 38.944 38.943 amax 40.049 40.049 40.049 emean 0.250 0.250 0.250 emin 0.202 0.202 0.202 emax 0.286 0.285 0.286 imean 29.165 29.161 29.165 imin 28.231 28.231 28.231 imax 30.241 30.259 30.238 excite_mean 0.548 0.548 0.548 fracstop 1.000 1.000 1.000 cjmean 2.697 2.697 2.697 libcent 0 181.0 180.3 181.2 libamp 0 119.1 119.7 119.0 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 271.1 271.6 271.0 kozaiamp 39.9 39.9 40.0