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: 13RM124
# Created Sun Dec 22 02:09:33 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 7.13y
# First observation: 2013/09/02
# Last observation: 2020/10/20
# Chi-squared of fit: 4.11 DOF: 40 RMS: 0.07
# Min/Max residuals: -0.16 0.18
# Exact a, adot, b, bdot, g, gdot:
2.039335E-05 3.722050E-02 -5.569098E-06 -9.003587E-03 2.886808E-02 -2.934217E-03
# Covariance matrix:
2.6990E-13 -4.4301E-14 -4.4486E-15 7.9817E-15 2.3940E-13 -1.3293E-13
-4.4301E-14 9.2949E-14 1.3568E-14 -2.1083E-14 7.5133E-14 3.4619E-13
-4.4486E-15 1.3568E-14 1.3541E-13 -3.0167E-14 9.2987E-15 5.7373E-14
7.9817E-15 -2.1083E-14 -3.0167E-14 1.5524E-14 -1.2395E-14 -8.9623E-14
2.3940E-13 7.5133E-14 9.2987E-15 -1.2395E-14 5.5853E-13 1.9995E-13
-1.3293E-13 3.4619E-13 5.7373E-14 -8.9623E-14 1.9995E-13 1.4725E-12
# lat0 lon0 xBary yBary zBary JD0
2.837693 -3.522913 0.292999 0.047939 -0.965474 2456537.742388
# Heliocentric elements and errors
Epoch: 2456538.5000 = 2013/09/03
Mean Anomaly: 357.35211 +/- 0.002
Argument of Peri: 181.53384 +/- 0.005
Long of Asc Node: 187.27700 +/- 0.000
Inclination: 13.86196 +/- 0.000
Eccentricity: 0.59948516 +/- 0.0001
Semi-Major Axis: 88.03109762 +/- 0.0278
Time of Perihelion: 2458757.4634 +/- 141.7
Perihelion: 35.25776126 +/- 0.0151
Aphelion: 140.80443399 +/- 0.0456
Period (y) 825.9664 +/- 0.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.47911817 +/- 0.0009
Ecliptic Y -2.47461923 +/- 0.0001
Ecliptic Z 1.71473426 +/- 0.0000
Ecliptic XDOT -0.00002450 +/- 0.0000
Ecliptic YDOT 0.00353671 +/- 0.0000
Ecliptic ZDOT -0.00086649 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.60668908 +/- 0.0009
Geocenter to KBO 34.64042122 +/- 0.0009
# Hcoef: 7.74
The following table shows the complete astrometric record for 13RM124. 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 (13RM124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.24161 23 42 33.675 +01 12 13.76 23.4g 13RM124 W84 C~4yQs 2013 09 08.16575 23 42 06.027 +01 08 48.68 23.6g 13RM124 W84 C~4yQs 2013 09 11.25591 23 41 51.29 +01 06 58.5 23.9g 13RM124 W84 C~3clA 2013 09 29.19287 23 40 25.339 +00 55 58.34 23.1r 13RM124 W84 C~4yQs 2013 09 29.19427 23 40 25.328 +00 55 58.25 22.8i 13RM124 W84 C~4yQs 2013 09 30.12657 23 40 20.966 +00 55 23.71 23.4r 13RM124 W84 C~4yQs 2013 09 30.13709 23 40 20.918 +00 55 23.29 22.6i 13RM124 W84 C~4yQs 2013 10 13.07263 23 39 23.046 +00 47 34.56 22.8i 13RM124 W84 C~4yQs 2013 11 08.12202 23 37 54.480 +00 34 12.56 23.5r 13RM124 W84 C~4yQs 2015 11 06.07076 23 55 14.448 +01 19 36.36 23.8r 13RM124 W84 C~4yQs 2015 11 07.04933 23 55 11.519 +01 19 09.76 22.6i 13RM124 W84 C~4yQs 2015 11 07.05070 23 55 11.521 +01 19 09.62 23.0r 13RM124 W84 C~4yQs 2015 11 07.05207 23 55 11.522 +01 19 09.54 23.7g 13RM124 W84 C~4yQs 2016 09 22.12447 00 07 07.110 +02 07 15.40 23.4r 13RM124 W84 C~4yQs 2016 09 22.12586 00 07 07.113 +02 07 15.35 23.6g 13RM124 W84 C~4yQs 2017 08 18.29676 00 18 25.306 +02 48 44.25 23.9g 13RM124 W84 C~4yQs 2017 10 11.20422 00 14 23.712 +02 17 46.77 22.9z 13RM124 W84 C~4yQs 2017 10 22.18020 00 13 34.353 +02 11 18.76 22.8r 13RM124 W84 C~4yQs 2018 10 18.19329 00 22 40.813 +02 35 46.97 22.5i 13RM124 W84 C~4yQs 2018 11 07.12913 00 21 19.630 +02 25 06.08 23.6r 13RM124 W84 C~4yQs 2020 10 20.111680 00 40 09.160 +03 17 52.93 23.1G 13RM124 G37 C~4Kvu 2020 10 20.160210 00 40 08.929 +03 17 51.15 13RM124 G37 C~4Kvu 2020 10 20.224000 00 40 08.630 +03 17 48.97 13RM124 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 -0.05 0.00 0.12
2 0.0162 0.00 0.11 0.00 0.04
3 0.0247 0.00 -0.11 0.00 -0.08
4 0.0738 0.00 0.02 0.00 0.03
5 0.0738 0.00 -0.05 0.00 -0.00
6 0.0763 0.00 0.05 0.00 -0.02
7 0.0764 0.00 0.08 0.00 -0.05
8 0.1118 0.00 -0.10 0.00 -0.07
9 0.1831 0.00 0.01 0.00 0.03
10 2.1761 0.00 0.05 0.00 -0.08
11 2.1788 0.00 -0.05 0.00 0.12
12 2.1788 0.00 0.05 0.00 0.02
13 2.1788 0.00 0.12 0.00 -0.03
14 3.0551 0.00 -0.11 0.00 0.04
15 3.0551 0.00 0.04 0.00 0.04
16 3.9591 0.00 -0.02 0.00 0.03
17 4.1067 0.00 0.18 0.00 0.11
18 4.1367 0.00 0.00 0.00 -0.16
19 5.1251 0.00 -0.05 0.00 -0.09
20 5.1797 0.00 -0.13 0.00 -0.07
21 7.1317 0.00 0.02 0.00 0.08
22 7.1319 0.00 -0.01 0.00 -0.01
23 7.1321 0.00 0.03 0.00 0.03
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.
13RM124 quality flag:3 Type: 5:1EEEE 5:1EEEE 5:1EEEE axisobj 89.251 89.250 89.252 ecceobj 0.605 0.605 0.605 incobj 13.834 13.834 13.834 qmin 34.376 34.394 34.409 qmax 145.892 146.183 146.172 amean 88.043 88.043 88.042 amin 86.133 86.136 86.245 amax 90.594 90.701 90.711 emean 0.599 0.599 0.599 emin 0.588 0.588 0.589 emax 0.611 0.612 0.611 imean 13.673 13.585 13.601 imin 13.288 13.271 13.430 imax 14.066 13.878 13.840 excite_mean 0.644 0.644 0.644 fracstop 1.000 1.000 1.000 cjmean 3.003 3.003 3.003 libcent 0 180.1 179.6 180.8 libamp 0 169.2 171.0 164.9 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 220.1 226.3 258.5 kozaiamp 180.0 180.0 180.0