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: 13RC109 # Created Sun Dec 22 02:09:31 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 7.11y # First observation: 2013/09/09 # Last observation: 2020/10/20 # Chi-squared of fit: 5.68 DOF: 36 RMS: 0.09 # Min/Max residuals: -0.17 0.25 # Exact a, adot, b, bdot, g, gdot: 1.588758E-05 3.391755E-02 1.366552E-05 3.136874E-02 3.542720E-02 4.968693E-03 # Covariance matrix: 3.4772E-13 -1.0291E-13 4.9498E-14 -7.3674E-14 2.3317E-13 -3.2148E-13 -1.0291E-13 1.5476E-13 -9.1061E-14 1.3851E-13 3.3544E-14 6.0738E-13 4.9498E-14 -9.1061E-14 1.7098E-13 -1.1969E-13 -2.3816E-14 -4.0574E-13 -7.3674E-14 1.3851E-13 -1.1969E-13 1.5920E-13 3.8312E-14 6.1732E-13 2.3317E-13 3.3544E-14 -2.3816E-14 3.8312E-14 3.3263E-13 1.7002E-13 -3.2148E-13 6.0738E-13 -4.0574E-13 6.1732E-13 1.7002E-13 2.7070E-12 # lat0 lon0 xBary yBary zBary JD0 -11.004761 22.533032 0.593001 -0.155516 -0.800230 2456544.844459 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 13.69435 +/- 0.004 Argument of Peri: 319.34525 +/- 0.008 Long of Asc Node: 32.83019 +/- 0.000 Inclination: 43.49130 +/- 0.000 Eccentricity: 0.28001476 +/- 0.0001 Semi-Major Axis: 39.49876212 +/- 0.0041 Time of Perihelion: 2453095.3465 +/- 1.3 Perihelion: 28.43852570 +/- 0.0040 Aphelion: 50.55899853 +/- 0.0059 Period (y) 248.2467 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.57241503 +/- 0.0004 Ecliptic Y 10.38566964 +/- 0.0002 Ecliptic Z -5.38789230 +/- 0.0001 Ecliptic XDOT -0.00023508 +/- 0.0000 Ecliptic YDOT 0.00274171 +/- 0.0000 Ecliptic ZDOT 0.00230647 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.03414503 +/- 0.0004 Geocenter to KBO 28.22686381 +/- 0.0005 # Hcoef: 8.12
The following table shows the complete astrometric record for 13RC109. 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 (13RC109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.343681 01 39 38.45 -01 27 41.8 23.3g 13RC109 W84 C~35bW 2013 09 09.34420 01 39 38.454 -01 27 41.88 23.6g 13RC109 W84 C~4yQo 2013 10 26.14954 01 34 30.660 -01 47 13.53 23.5g 13RC109 W84 C~4yQo 2013 11 08.22418 01 33 01.018 -01 50 13.43 22.5r 13RC109 W84 C~4yQo 2013 11 08.22556 01 33 01.014 -01 50 13.45 22.8i 13RC109 W84 C~4yQo 2013 11 23.18237 01 31 29.695 -01 51 11.44 22.8i 13RC109 W84 C~4yQo 2013 11 23.18375 01 31 29.689 -01 51 11.57 22.3z 13RC109 W84 C~4yQo 2014 08 18.36414 01 45 41.397 +01 02 07.83 22.4z 13RC109 W84 C~4yQo 2014 10 03.32632 01 41 49.359 +00 44 42.40 23.3g 13RC109 W84 C~4yQo 2014 10 29.25145 01 38 47.561 +00 35 07.12 23.3g 13RC109 W84 C~4yQo 2014 10 29.25281 01 38 47.548 +00 35 07.04 22.9r 13RC109 W84 C~4yQo 2014 11 17.13417 01 36 42.381 +00 31 19.48 22.7i 13RC109 W84 C~4yQo 2014 11 17.13695 01 36 42.363 +00 31 19.46 23.2g 13RC109 W84 C~4yQo 2014 11 18.08407 01 36 36.612 +00 31 14.06 22.5r 13RC109 W84 C~4yQo 2014 11 21.03384 01 36 19.081 +00 31 01.26 22.7i 13RC109 W84 C~4yQo 2014 11 27.11774 01 35 45.126 +00 30 55.23 21.8z 13RC109 W84 C~4yQo 2014 11 28.11972 01 35 39.836 +00 30 56.86 22.5z 13RC109 W84 C~4yQo 2015 09 04.32751 01 49 10.140 +03 17 20.71 22.3z 13RC109 W84 C~4yQo 2015 11 06.195579 01 42 28.48 +02 54 45.0 22.6i 13RC109 W84 C~35bW 2020 10 20.278220 02 07 00.202 +14 23 20.85 22.8G 13RC109 G37 C~4Kvu 2020 10 20.331160 02 06 59.815 +14 23 19.80 13RC109 G37 C~4Kvu
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 0.01
2 0.0000 0.00 -0.07 0.00 -0.06
3 0.1281 0.00 0.01 0.00 0.14
4 0.1639 0.00 -0.09 0.00 -0.08
5 0.1639 0.00 -0.01 0.00 -0.09
6 0.2049 0.00 -0.02 0.00 0.16
7 0.2049 0.00 0.01 0.00 0.03
8 0.9391 0.00 0.13 0.00 0.05
9 1.0650 0.00 0.12 0.00 0.11
10 1.1360 0.00 0.04 0.00 0.06
11 1.1360 0.00 -0.01 0.00 0.00
12 1.1877 0.00 -0.13 0.00 -0.02
13 1.1877 0.00 -0.14 0.00 -0.02
14 1.1903 0.00 -0.02 0.00 0.00
15 1.1983 0.00 -0.02 0.00 -0.00
16 1.2150 0.00 0.25 0.00 -0.06
17 1.2177 0.00 0.15 0.00 -0.17
18 1.9849 0.00 0.08 0.00 -0.13
19 2.1570 0.00 -0.03 0.00 0.06
20 7.1128 0.00 0.01 0.00 0.04
21 7.1129 0.00 -0.07 0.00 -0.01
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.
13RC109 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.689 39.689 39.689 ecceobj 0.284 0.284 0.284 incobj 43.450 43.450 43.450 qmin 24.866 24.866 24.866 qmax 54.667 54.666 54.667 amean 39.453 39.453 39.453 amin 39.013 39.014 39.013 amax 40.035 40.035 40.035 emean 0.292 0.292 0.292 emin 0.201 0.201 0.201 emax 0.368 0.368 0.368 imean 42.681 42.681 42.682 imin 41.050 41.050 41.050 imax 44.323 44.323 44.323 excite_mean 0.740 0.740 0.740 fracstop 1.000 1.000 1.000 cjmean 2.370 2.370 2.370 libcent 0 180.1 180.1 180.1 libamp 0 104.8 104.8 104.8 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 263.6 263.6 263.6 kozaiamp 56.1 56.1 56.1