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: 13RT109
# Created Sun Nov 24 02:09:28 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 30 observations of 30
# Arc: 16.22y
# First observation: 2007/06/17
# Last observation: 2023/09/06
# Chi-squared of fit: 23.46 DOF: 54 RMS: 0.16
# Min/Max residuals: -0.33 0.40
# Exact a, adot, b, bdot, g, gdot:
1.773941E-05 3.132914E-02 6.244124E-06 8.160537E-03 2.814495E-02 -3.664198E-04
# Covariance matrix:
4.2118E-13 -9.6614E-14 7.2813E-14 -2.1694E-14 -4.7026E-14 -1.3537E-13
-9.6614E-14 3.4098E-14 -2.7431E-14 7.8690E-15 5.1047E-14 5.0643E-14
7.2813E-14 -2.7431E-14 1.9654E-13 -2.2995E-14 -3.6733E-14 -4.4016E-14
-2.1694E-14 7.8690E-15 -2.2995E-14 4.0346E-15 9.1246E-15 1.2770E-14
-4.7026E-14 5.1047E-14 -3.6733E-14 9.1246E-15 2.2324E-13 6.6158E-14
-1.3537E-13 5.0643E-14 -4.4016E-14 1.2770E-14 6.6158E-14 8.1430E-14
# lat0 lon0 xBary yBary zBary JD0
9.049894 -34.713798 0.870328 0.081044 -0.508519 2454268.999308
# Heliocentric elements and errors
Epoch: 2454268.5000 = 2007/06/17
Mean Anomaly: 353.01627 +/- 0.002
Argument of Peri: 42.52679 +/- 0.003
Long of Asc Node: 293.47331 +/- 0.000
Inclination: 17.22630 +/- 0.000
Eccentricity: 0.21179275 +/- 0.0001
Semi-Major Axis: 45.59224380 +/- 0.0038
Time of Perihelion: 2456449.8209 +/- 13.9
Perihelion: 35.93613710 +/- 0.0039
Aphelion: 55.24835050 +/- 0.0053
Period (y) 307.8539 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 28.76921380 +/- 0.0005
Ecliptic Y -20.99464040 +/- 0.0003
Ecliptic Z 5.58899109 +/- 0.0001
Ecliptic XDOT 0.00161012 +/- 0.0000
Ecliptic YDOT 0.00259379 +/- 0.0000
Ecliptic ZDOT 0.00077825 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.05108815 +/- 0.0004
Geocenter to KBO 35.53038195 +/- 0.0006
# Hcoef: 7.50
The following table shows the complete astrometric record for 13RT109. 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 (13RT109) followed by the observatory code and reference code for the source of the astrometry.
2007 06 17.498554 21 38 05.43 -04 33 12.7 13RT109 568 C~4qL5 2007 06 17.507634 21 38 05.40 -04 33 12.6 13RT109 568 C~4qL5 2010 06 09.573950 21 56 51.52 -01 28 25.6 13RT109 568 C~4qL5 2010 06 09.577979 21 56 51.52 -01 28 25.7 13RT109 568 C~4qL5 2010 06 10.552669 21 56 50.31 -01 28 10.2 13RT109 568 C~4qL5 2010 06 10.556695 21 56 50.30 -01 28 10.0 13RT109 568 C~4qL5 2010 06 10.560733 21 56 50.30 -01 28 10.2 13RT109 568 C~4qL5 2012 08 25.459715 22 04 19.89 +00 29 34.9 13RT109 568 C~4qL5 2012 08 25.479935 22 04 19.77 +00 29 34.4 13RT109 568 C~4qL5 2012 08 25.505557 22 04 19.63 +00 29 33.8 13RT109 568 C~4qL5 2013 09 10.060012 22 09 17.52 +01 26 01.4 23.3g 13RT109 W84 C~39od 2013 09 13.131539 22 09 02.44 +01 24 29.8 22.8i 13RT109 W84 C~39od 2013 09 13.145428 22 09 02.39 +01 24 29.6 22.7z 13RT109 W84 C~39od 2013 09 29.146690 22 07 50.98 +01 16 20.3 22.8r 13RT109 W84 C~39od 2013 09 29.148079 22 07 50.97 +01 16 20.3 22.8i 13RT109 W84 C~39od 2013 10 10.084456 22 07 11.42 +01 10 50.6 23.2r 13RT109 W84 C~39od 2013 10 12.021979 22 07 05.39 +01 09 54.6 22.4z 13RT109 W84 C~39od 2013 10 13.012836 22 07 02.42 +01 09 25.9 22.4z 13RT109 W84 C~39od 2016 08 04.48134 22 31 11.50 +04 49 12.2 22.9z 13RT109 T09 C~8Gxz 2016 08 04.51190 22 31 11.34 +04 49 11.7 22.9z 13RT109 T09 C~8Gxz 2016 08 04.55832 22 31 11.11 +04 49 11.2 23.0z 13RT109 T09 C~8Gxz 2016 08 04.56101 22 31 11.11 +04 49 11.2 23.4z 13RT109 T09 C~8Gxz 2016 08 04.60215 22 31 10.92 +04 49 10.3 23.0z 13RT109 T09 C~8Gxz 2016 08 04.61299 22 31 10.86 +04 49 10.2 23.1z 13RT109 T09 C~8Gxz 2021 10 03.117450 22 57 55.801 +09 32 54.27 23.0G 13RT109 G37 C~55NZ 2021 10 03.170730 22 57 55.561 +09 32 52.44 13RT109 G37 C~55NZ 2021 10 03.223740 22 57 55.315 +09 32 50.49 13RT109 G37 C~55NZ 2023 09 06.375990 23 13 01.841 +11 48 02.25 23.1G 13RT109 G37 C~7Ax2 2023 09 06.415010 23 13 01.644 +11 48 01.30 13RT109 G37 C~7Ax2 2023 09 06.453750 23 13 01.428 +11 48 00.34 13RT109 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 0.09 0.00 -0.33
2 0.0000 0.00 -0.03 0.00 -0.29
3 2.9790 0.00 -0.12 0.00 0.14
4 2.9790 0.00 -0.05 0.00 -0.02
5 2.9817 0.00 -0.02 0.00 0.26
6 2.9817 0.00 -0.08 0.00 0.40
7 2.9817 0.00 -0.00 0.00 0.14
8 5.1909 0.00 0.08 0.00 0.24
9 5.1909 0.00 -0.11 0.00 0.25
10 5.1910 0.00 -0.16 0.00 0.29
11 6.2329 0.00 0.16 0.00 0.19
12 6.2413 0.00 -0.06 0.00 -0.24
13 6.2413 0.00 0.21 0.00 -0.02
14 6.2851 0.00 0.03 0.00 -0.22
15 6.2851 0.00 -0.03 0.00 -0.18
16 6.3151 0.00 0.10 0.00 -0.31
17 6.3204 0.00 0.12 0.00 0.12
18 6.3231 0.00 0.04 0.00 -0.03
19 9.1334 0.00 0.15 0.00 0.04
20 9.1335 0.00 -0.06 0.00 -0.07
21 9.1336 0.00 -0.19 0.00 0.03
22 9.1336 0.00 -0.00 0.00 0.06
23 9.1338 0.00 0.09 0.00 -0.30
24 9.1338 0.00 -0.04 0.00 -0.26
25 14.2960 0.00 -0.11 0.00 -0.06
26 14.2962 0.00 -0.04 0.00 0.01
27 14.2963 0.00 -0.06 0.00 -0.04
28 16.2214 0.00 0.01 0.00 0.02
29 16.2215 0.00 0.14 0.00 0.08
30 16.2216 0.00 -0.05 0.00 0.12
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.
13RT109 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 45.629 45.629 45.629 ecceobj 0.213 0.213 0.213 incobj 17.262 17.262 17.262 qmin 34.820 34.859 34.838 qmax 56.677 56.681 56.672 amean 45.488 45.492 45.483 amin 45.053 45.065 45.047 amax 46.012 46.019 46.016 emean 0.213 0.212 0.212 emin 0.194 0.194 0.194 emax 0.233 0.233 0.233 imean 18.720 18.743 18.717 imin 17.947 18.040 17.913 imax 19.366 19.390 19.357 excite_mean 0.385 0.385 0.385 fracstop 1.000 1.000 1.000 cjmean 2.937 2.937 2.937 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 184.4 182.4 184.7 kozaiamp 180.0 179.9 180.0