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: 13RT157
# Created Wed Dec 25 02:09:31 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 18 observations of 18
# Arc: 8.96y
# First observation: 2013/09/11
# Last observation: 2022/08/27
# Chi-squared of fit: 9.98 DOF: 30 RMS: 0.13
# Min/Max residuals: -0.31 0.27
# Exact a, adot, b, bdot, g, gdot:
1.429631E-05 2.092422E-02 -2.082999E-06 -3.796793E-03 2.311487E-02 6.928482E-04
# Covariance matrix:
2.0707E-13 -9.1793E-14 -8.5492E-15 1.1897E-14 2.9603E-14 -3.4899E-13
-9.1793E-14 9.4402E-14 1.2925E-14 -1.5433E-14 2.5812E-14 4.4833E-13
-8.5492E-15 1.2925E-14 1.4690E-13 -2.5409E-14 1.6004E-14 6.9810E-14
1.1897E-14 -1.5433E-14 -2.5409E-14 1.1245E-14 -7.7248E-15 -8.1106E-14
2.9603E-14 2.5812E-14 1.6004E-14 -7.7248E-15 3.4666E-13 2.0166E-13
-3.4899E-13 4.4833E-13 6.9810E-14 -8.1106E-14 2.0166E-13 2.3517E-12
# lat0 lon0 xBary yBary zBary JD0
7.502072 -21.004332 -0.162698 0.129908 -0.985787 2456546.687468
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 144.81863 +/- 0.073
Argument of Peri: 355.51927 +/- 0.067
Long of Asc Node: 194.28867 +/- 0.001
Inclination: 12.62380 +/- 0.000
Eccentricity: 0.06331115 +/- 0.0001
Semi-Major Axis: 42.02107287 +/- 0.0039
Time of Perihelion: 2416522.4473 +/- 21.0
Perihelion: 39.36067055 +/- 0.0046
Aphelion: 44.68147519 +/- 0.0050
Period (y) 272.4011 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.02834568 +/- 0.0010
Ecliptic Y -15.57557077 +/- 0.0004
Ecliptic Z 5.64829950 +/- 0.0001
Ecliptic XDOT 0.00101294 +/- 0.0000
Ecliptic YDOT 0.00226232 +/- 0.0000
Ecliptic ZDOT -0.00043501 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.24731535 +/- 0.0010
Geocenter to KBO 43.26221378 +/- 0.0011
# Hcoef: 7.30
The following table shows the complete astrometric record for 13RT157. 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 (13RT157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.18669 22 31 08.618 -01 14 09.45 24.5g 13RT157 W84 C~52RP 2013 09 13.17618 22 31 00.425 -01 15 07.59 24.0i 13RT157 W84 C~52RP 2013 09 13.17897 22 31 00.407 -01 15 07.45 22.5z 13RT157 W84 C~52RP 2013 09 29.16702 22 29 58.882 -01 22 56.12 23.3r 13RT157 W84 C~52RP 2013 09 29.18276 22 29 58.812 -01 22 56.72 23.6i 13RT157 W84 C~52RP 2013 10 12.04638 22 29 17.376 -01 28 57.48 22.6i 13RT157 W84 C~52RP 2013 11 23.05373 22 28 22.278 -01 42 50.80 24.3r 13RT157 W84 C~52RP 2015 07 21.50619 22 44 02.18 -00 25 04.3 24.1i 13RT157 T09 C~8SP3 2015 07 21.59293 22 44 01.93 -00 25 05.5 23.7i 13RT157 T09 C~8SP3 2015 07 21.59831 22 44 01.90 -00 25 05.5 24.3i 13RT157 T09 C~8SP3 2015 11 08.02080 22 37 49.888 -01 10 21.58 23.7r 13RT157 W84 C~52RP 2016 10 05.08663 22 43 51.165 -00 42 21.80 23.7i 13RT157 W84 C~52RP 2016 10 05.08801 22 43 51.146 -00 42 21.57 23.3r 13RT157 W84 C~52RP 2016 10 05.08937 22 43 51.172 -00 42 21.46 24.1g 13RT157 W84 C~52RP 2017 11 08.03395 22 47 11.761 -00 41 48.19 23.6r 13RT157 W84 C~52RP 2022 08 27.245080 23 14 54.294 +01 04 02.28 23.5G 13RT157 G37 C~5nHa 2022 08 27.291910 23 14 54.105 +01 04 01.08 13RT157 G37 C~5nHa 2022 08 27.338650 23 14 53.917 +01 03 59.80 13RT157 G37 C~5nHa
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 0.04 0.00 -0.10
2 0.0054 0.00 -0.16 0.00 -0.12
3 0.0055 0.00 -0.25 0.00 0.10
4 0.0492 0.00 0.19 0.00 0.10
5 0.0493 0.00 -0.00 0.00 -0.04
6 0.0845 0.00 0.23 0.00 -0.06
7 0.1995 0.00 0.02 0.00 -0.10
8 1.8571 0.00 -0.10 0.00 0.19
9 1.8574 0.00 0.11 0.00 0.14
10 1.8574 0.00 -0.10 0.00 0.21
11 2.1570 0.00 0.01 0.00 -0.05
12 3.0661 0.00 0.02 0.00 -0.31
13 3.0661 0.00 -0.19 0.00 -0.04
14 3.0661 0.00 0.27 0.00 0.11
15 4.1584 0.00 -0.02 0.00 0.02
16 8.9584 0.00 -0.06 0.00 -0.01
17 8.9585 0.00 -0.01 0.00 0.02
18 8.9587 0.00 0.05 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.
13RT157 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.202 42.202 42.202 ecceobj 0.059 0.059 0.059 incobj 12.599 12.599 12.599 qmin 38.727 38.713 38.710 qmax 45.750 45.738 45.806 amean 42.143 42.140 42.146 amin 41.808 41.806 41.807 amax 42.490 42.484 42.497 emean 0.059 0.059 0.059 emin 0.040 0.040 0.039 emax 0.078 0.078 0.078 imean 13.172 13.173 13.178 imin 12.388 12.391 12.404 imax 13.981 13.981 13.977 excite_mean 0.235 0.235 0.236 fracstop 1.000 1.000 1.000 cjmean 3.014 3.014 3.014 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 174.4 174.2 174.8 kozaiamp 180.0 180.0 180.0