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: 13RM158
# Created Sun Dec 22 02:09:37 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 21 observations of 21
# Arc: 10.99y
# First observation: 2013/09/05
# Last observation: 2024/08/30
# Chi-squared of fit: 3.94 DOF: 36 RMS: 0.08
# Min/Max residuals: -0.16 0.23
# Exact a, adot, b, bdot, g, gdot:
1.548324E-05 2.619860E-02 -4.572795E-06 -7.494395E-03 2.601006E-02 9.039702E-04
# Covariance matrix:
4.1696E-13 -5.5764E-14 1.5407E-14 1.4923E-15 5.2096E-13 -4.3102E-14
-5.5764E-14 4.6013E-14 1.9289E-14 -1.1953E-14 7.4001E-14 1.4989E-13
1.5407E-14 1.9289E-14 1.7927E-13 -3.3575E-14 1.1238E-13 8.4050E-14
1.4923E-15 -1.1953E-14 -3.3575E-14 1.1355E-14 -4.1861E-14 -4.8708E-14
5.2096E-13 7.4001E-14 1.1238E-13 -4.1861E-14 1.5933E-12 4.6359E-13
-4.3102E-14 1.4989E-13 8.4050E-14 -4.8708E-14 4.6359E-13 6.0338E-13
# lat0 lon0 xBary yBary zBary JD0
9.140774 -27.341804 -0.170021 0.158119 -0.982237 2456540.575604
# Heliocentric elements and errors
Epoch: 2456540.5000 = 2013/09/05
Mean Anomaly: 19.13570 +/- 0.033
Argument of Peri: 126.92518 +/- 0.041
Long of Asc Node: 181.28776 +/- 0.000
Inclination: 18.25875 +/- 0.000
Eccentricity: 0.10116322 +/- 0.0001
Semi-Major Axis: 43.53318987 +/- 0.0094
Time of Perihelion: 2450963.8809 +/- 9.9
Perihelion: 39.12923234 +/- 0.0104
Aphelion: 47.93714741 +/- 0.0120
Period (y) 287.2360 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 34.67967032 +/- 0.0016
Ecliptic Y -17.73715195 +/- 0.0009
Ecliptic Z 6.10749521 +/- 0.0003
Ecliptic XDOT 0.00145519 +/- 0.0000
Ecliptic YDOT 0.00234779 +/- 0.0000
Ecliptic ZDOT -0.00076360 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.42823544 +/- 0.0015
Geocenter to KBO 38.44668118 +/- 0.0019
# Hcoef: 6.78
The following table shows the complete astrometric record for 13RM158. 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 (13RM158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 05.074826 22 05 22.95 -01 59 03.6 22.8g 13RM158 W84 C~55Nc 2013 09 08.142222 22 05 09.16 -02 00 45.5 22.8g 13RM158 W84 C~55Nc 2013 09 11.184630 22 04 55.75 -02 02 27.6 22.8g 13RM158 W84 C~55Nc 2013 10 12.029062 22 03 05.00 -02 19 21.7 22.8i 13RM158 W84 C~55Nc 2013 10 12.030440 22 03 05.00 -02 19 21.9 22.3z 13RM158 W84 C~55Nc 2013 11 23.046146 22 02 34.25 -02 34 59.6 22.6r 13RM158 W84 C~55Nc 2016 09 23.10367 22 22 38.488 -01 46 01.42 22.4i 13RM158 W84 C~55Nc 2016 09 23.10505 22 22 38.484 -01 46 01.31 23.0r 13RM158 W84 C~55Nc 2016 09 23.10643 22 22 38.493 -01 46 01.30 23.1g 13RM158 W84 C~55Nc 2016 09 29.08927 22 22 15.178 -01 49 23.14 22.3z 13RM158 W84 C~55Nc 2017 09 27.12202 22 28 32.829 -01 40 16.83 22.7r 13RM158 W84 C~55Nc 2017 09 27.12340 22 28 32.821 -01 40 16.92 23.2z 13RM158 W84 C~55Nc 2017 09 27.12478 22 28 32.805 -01 40 17.05 22.2i 13RM158 W84 C~55Nc 2017 10 22.06145 22 27 13.656 -01 53 20.82 23.3g 13RM158 W84 C~55Nc 2017 10 22.06282 22 27 13.653 -01 53 20.82 22.8r 13RM158 W84 C~55Nc 2017 10 22.06421 22 27 13.646 -01 53 20.76 23.0i 13RM158 W84 C~55Nc 2018 09 17.23010 22 35 24.065 -01 26 33.63 22.8r 13RM158 W84 C~55Nc 2018 09 17.23147 22 35 24.059 -01 26 33.66 22.4i 13RM158 W84 C~55Nc 2018 09 17.23284 22 35 24.053 -01 26 33.70 23.4g 13RM158 W84 C~55Nc 2024 08 30.370930 23 13 21.858 -00 27 43.82 22.7G 13RM158 G37 C~8Dcp 2024 08 30.427560 23 13 21.600 -00 27 45.56 13RM158 G37 C~8Dcp
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 0.08 0.00 0.04
2 0.0084 0.00 -0.00 0.00 0.09
3 0.0167 0.00 -0.10 0.00 -0.01
4 0.1012 0.00 -0.05 0.00 -0.00
5 0.1012 0.00 0.00 0.00 -0.16
6 0.2162 0.00 0.08 0.00 0.11
7 3.0500 0.00 -0.01 0.00 -0.16
8 3.0500 0.00 0.01 0.00 -0.01
9 3.0501 0.00 0.23 0.00 0.05
10 3.0664 0.00 -0.11 0.00 -0.04
11 4.0604 0.00 0.04 0.00 0.03
12 4.0604 0.00 0.01 0.00 -0.01
13 4.0604 0.00 -0.15 0.00 -0.09
14 4.1286 0.00 0.03 0.00 -0.06
15 4.1286 0.00 0.03 0.00 -0.02
16 4.1286 0.00 -0.03 0.00 0.08
17 5.0326 0.00 -0.00 0.00 0.06
18 5.0326 0.00 -0.00 0.00 0.08
19 5.0326 0.00 -0.00 0.00 0.09
20 10.9851 0.00 0.01 0.00 -0.05
21 10.9852 0.00 -0.01 0.00 0.02
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.
13RM158 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.711 43.711 43.711 ecceobj 0.105 0.105 0.105 incobj 18.221 18.221 18.221 qmin 38.066 38.038 38.113 qmax 49.564 49.760 49.699 amean 43.739 43.752 43.718 amin 43.299 43.316 43.307 amax 44.172 44.180 44.158 emean 0.103 0.102 0.101 emin 0.080 0.080 0.077 emax 0.125 0.128 0.126 imean 18.326 18.327 18.320 imin 17.719 17.729 17.747 imax 18.893 18.895 18.888 excite_mean 0.331 0.331 0.330 fracstop 1.000 1.000 1.000 cjmean 2.964 2.964 2.964 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 179.3 179.5 179.6 kozaiamp 180.0 180.0 179.9