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: 13RS157
# Created Sun Dec 22 02:09:36 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 21 observations of 21
# Arc: 10.97y
# First observation: 2013/09/11
# Last observation: 2024/08/30
# Chi-squared of fit: 8.13 DOF: 36 RMS: 0.11
# Min/Max residuals: -0.25 0.25
# Exact a, adot, b, bdot, g, gdot:
1.545403E-05 2.235300E-02 2.572312E-06 2.120409E-03 2.343468E-02 -3.969071E-03
# Covariance matrix:
2.5140E-13 -7.8657E-14 1.1130E-14 -5.1579E-15 1.9583E-13 -1.9645E-13
-7.8657E-14 4.6222E-14 -5.4334E-15 3.7048E-15 -2.1998E-14 1.5451E-13
1.1130E-14 -5.4334E-15 1.4186E-13 -2.2578E-14 2.1578E-14 -1.8453E-14
-5.1579E-15 3.7048E-15 -2.2578E-14 7.0318E-15 -1.2713E-15 1.4596E-14
1.9583E-13 -2.1998E-14 2.1578E-14 -1.2713E-15 9.2086E-13 5.0142E-14
-1.9645E-13 1.5451E-13 -1.8453E-14 1.4596E-14 5.0142E-14 6.2417E-13
# lat0 lon0 xBary yBary zBary JD0
9.602403 -28.085744 -0.284009 0.161339 -0.953117 2456546.685928
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 294.21012 +/- 0.030
Argument of Peri: 146.14499 +/- 0.041
Long of Asc Node: 272.10968 +/- 0.001
Inclination: 10.79188 +/- 0.000
Eccentricity: 0.17537787 +/- 0.0000
Semi-Major Axis: 45.62573989 +/- 0.0081
Time of Perihelion: 2477118.1878 +/- 26.1
Perihelion: 37.62399482 +/- 0.0070
Aphelion: 53.62748495 +/- 0.0097
Period (y) 308.1932 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 38.10601529 +/- 0.0015
Ecliptic Y -20.00955993 +/- 0.0008
Ecliptic Z 7.11818260 +/- 0.0003
Ecliptic XDOT 0.00078346 +/- 0.0000
Ecliptic YDOT 0.00253750 +/- 0.0000
Ecliptic ZDOT 0.00016704 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.62486800 +/- 0.0014
Geocenter to KBO 42.67194895 +/- 0.0017
# Hcoef: 6.95
The following table shows the complete astrometric record for 13RS157. 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 (13RS157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.18515 22 01 58.937 -01 48 39.33 24.6g 13RS157 W84 C~52RP 2013 09 13.14889 22 01 51.018 -01 49 29.96 23.6i 13RS157 W84 C~52RP 2013 09 30.03736 22 00 49.428 -01 56 49.20 23.9r 13RS157 W84 C~52RP 2013 09 30.05231 22 00 49.368 -01 56 49.74 23.4i 13RS157 W84 C~52RP 2013 10 11.07745 22 00 17.529 -02 01 21.51 23.0z 13RS157 W84 C~52RP 2013 10 12.02959 22 00 15.165 -02 01 43.74 23.5i 13RS157 W84 C~52RP 2013 10 12.03097 22 00 15.164 -02 01 43.62 22.8z 13RS157 W84 C~52RP 2016 08 15.24169 22 17 55.556 +00 04 48.93 22.4z 13RS157 W84 C~52RP 2016 08 24.23754 22 17 16.235 +00 01 29.19 22.7i 13RS157 W84 C~52RP 2016 08 26.23088 22 17 07.454 +00 00 41.79 23.2r 13RS157 W84 C~52RP 2016 08 26.23226 22 17 07.437 +00 00 41.93 23.7g 13RS157 W84 C~52RP 2016 09 23.09956 22 15 10.767 -00 11 34.57 22.3i 13RS157 W84 C~52RP 2016 10 05.09626 22 14 29.077 -00 17 00.54 23.6r 13RS157 W84 C~52RP 2017 09 27.09709 22 19 40.730 +00 21 22.18 22.6r 13RS157 W84 C~52RP 2017 09 27.09846 22 19 40.737 +00 21 21.94 22.7i 13RS157 W84 C~52RP 2017 10 10.10988 22 18 57.633 +00 15 26.83 24.3g 13RS157 W84 C~52RP 2017 10 22.05596 22 18 27.486 +00 10 26.11 23.2i 13RS157 W84 C~52RP 2018 09 11.24545 22 25 32.047 +01 03 51.28 22.9r 13RS157 W84 C~52RP 2018 09 11.24683 22 25 32.045 +01 03 51.40 22.5i 13RS157 W84 C~52RP 2024 08 30.364910 22 56 03.132 +04 44 35.40 23.2G 13RS157 G37 C~8Dcp 2024 08 30.422470 22 56 02.855 +04 44 34.02 13RS157 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 0.01 0.00 -0.25
2 0.0054 0.00 0.06 0.00 0.25
3 0.0516 0.00 0.06 0.00 0.16
4 0.0517 0.00 -0.10 0.00 0.01
5 0.0818 0.00 -0.03 0.00 -0.19
6 0.0844 0.00 0.01 0.00 -0.06
7 0.0845 0.00 0.05 0.00 0.09
8 2.9269 0.00 -0.20 0.00 0.09
9 2.9515 0.00 0.09 0.00 -0.04
10 2.9570 0.00 0.11 0.00 0.00
11 2.9570 0.00 -0.05 0.00 0.18
12 3.0333 0.00 -0.03 0.00 -0.04
13 3.0661 0.00 -0.16 0.00 -0.04
14 4.0436 0.00 -0.02 0.00 0.17
15 4.0436 0.00 0.16 0.00 -0.03
16 4.0792 0.00 0.05 0.00 -0.07
17 4.1119 0.00 0.01 0.00 -0.01
18 4.9995 0.00 0.01 0.00 -0.20
19 4.9995 0.00 0.07 0.00 -0.05
20 10.9683 0.00 0.10 0.00 0.01
21 10.9685 0.00 -0.14 0.00 0.05
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.
13RS157 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.856 45.856 45.856 ecceobj 0.177 0.177 0.177 incobj 10.795 10.795 10.795 qmin 36.815 36.838 36.822 qmax 55.003 55.063 55.061 amean 45.734 45.734 45.734 amin 45.345 45.335 45.346 amax 46.191 46.187 46.185 emean 0.177 0.177 0.177 emin 0.162 0.162 0.163 emax 0.192 0.192 0.192 imean 12.413 12.413 12.413 imin 11.796 11.789 11.795 imax 13.068 13.063 13.062 excite_mean 0.278 0.278 0.278 fracstop 1.000 1.000 1.000 cjmean 3.027 3.027 3.027 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 183.6 183.4 183.5 kozaiamp 180.0 179.9 180.0