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: 13RW157
# Created Sun Apr 21 01:15:00 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 13 observations of 13
# Arc: 5.02y
# First observation: 2013/09/11
# Last observation: 2018/09/17
# Chi-squared of fit: 7.08 DOF: 20 RMS: 0.13
# Min/Max residuals: -0.31 0.23
# Exact a, adot, b, bdot, g, gdot:
1.728148E-05 2.878496E-02 -4.540852E-06 -6.967059E-03 2.706275E-02 5.426473E-03
# Covariance matrix:
5.7094E-13 -3.4207E-14 4.7545E-15 -1.9012E-14 7.4204E-13 6.2176E-13
-3.4207E-14 6.0888E-13 3.0587E-14 -1.5071E-13 2.9890E-13 5.0102E-12
4.7545E-15 3.0587E-14 2.0270E-13 -6.0205E-14 2.3389E-14 2.7023E-13
-1.9012E-14 -1.5071E-13 -6.0205E-14 7.1403E-14 -1.0649E-13 -1.3259E-12
7.4204E-13 2.9890E-13 2.3389E-14 -1.0649E-13 1.6086E-12 3.5197E-12
6.2176E-13 5.0102E-12 2.7023E-13 -1.3259E-12 3.5197E-12 4.4066E-11
# lat0 lon0 xBary yBary zBary JD0
1.009508 -1.279440 0.180913 0.017559 -0.990970 2456546.776488
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 32.50669 +/- 0.022
Argument of Peri: 122.55448 +/- 0.042
Long of Asc Node: 182.51173 +/- 0.000
Inclination: 13.62162 +/- 0.000
Eccentricity: 0.25390922 +/- 0.0002
Semi-Major Axis: 46.71560970 +/- 0.0117
Time of Perihelion: 2446015.6914 +/- 8.3
Perihelion: 34.85408575 +/- 0.0138
Aphelion: 58.57713365 +/- 0.0182
Period (y) 319.3017 +/- 0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.92276985 +/- 0.0017
Ecliptic Y -1.02482981 +/- 0.0001
Ecliptic Z 0.65082945 +/- 0.0000
Ecliptic XDOT 0.00062002 +/- 0.0000
Ecliptic YDOT 0.00289765 +/- 0.0000
Ecliptic ZDOT -0.00069491 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.94208460 +/- 0.0017
Geocenter to KBO 36.95107587 +/- 0.0017
# Hcoef: 7.81
The following table shows the complete astrometric record for 13RW157. 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 (13RW157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.27571 23 53 41.913 +00 25 02.46 24.4g 13RW157 W84 C~52RP 2013 09 30.14745 23 52 12.760 +00 14 01.81 23.5r 13RW157 W84 C~52RP 2013 10 12.09918 23 51 18.612 +00 07 13.22 22.9i 13RW157 W84 C~52RP 2013 10 13.06520 23 51 14.433 +00 06 41.09 22.5z 13RW157 W84 C~52RP 2013 10 13.08002 23 51 14.360 +00 06 40.60 23.6i 13RW157 W84 C~52RP 2013 10 28.05807 23 50 15.214 -00 01 00.67 24.0r 13RW157 W84 C~52RP 2013 10 28.05946 23 50 15.229 -00 01 00.76 23.7i 13RW157 W84 C~52RP 2014 10 29.11510 23 56 49.874 +00 15 53.56 22.7z 13RW157 W84 C~52RP 2016 09 22.12035 00 12 33.596 +01 09 41.98 24.4r 13RW157 W84 C~52RP 2017 08 18.29676 00 21 24.715 +01 44 29.84 24.4g 13RW157 W84 C~52RP 2017 09 27.24501 00 18 36.790 +01 23 26.81 23.7r 13RW157 W84 C~52RP 2017 10 22.18020 00 16 44.062 +01 09 39.87 23.2r 13RW157 W84 C~52RP 2018 09 17.30205 00 25 45.990 +01 45 33.91 23.1i 13RW157 W84 C~52RP
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 -0.13 0.00 0.05
2 0.0517 0.00 -0.31 0.00 -0.19
3 0.0844 0.00 0.23 0.00 0.20
4 0.0870 0.00 0.20 0.00 -0.00
5 0.0871 0.00 0.08 0.00 -0.00
6 0.1281 0.00 -0.22 0.00 -0.04
7 0.1281 0.00 0.08 0.00 -0.09
8 1.1303 0.00 0.13 0.00 0.09
9 3.0304 0.00 0.07 0.00 0.03
10 3.9343 0.00 0.07 0.00 0.02
11 4.0437 0.00 -0.08 0.00 0.02
12 4.1120 0.00 -0.14 0.00 -0.07
13 5.0158 0.00 0.08 0.00 0.00
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.
13RW157 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 47.019 47.019 47.018 ecceobj 0.259 0.259 0.259 incobj 13.589 13.589 13.589 qmin 33.876 34.248 34.211 qmax 60.015 60.282 59.847 amean 46.511 46.833 46.739 amin 45.740 46.366 46.209 amax 47.358 47.460 47.335 emean 0.247 0.249 0.249 emin 0.225 0.232 0.231 emax 0.268 0.270 0.267 imean 13.825 14.014 13.912 imin 12.803 13.078 12.962 imax 14.777 14.843 14.790 excite_mean 0.344 0.348 0.346 fracstop 1.000 1.000 1.000 cjmean 2.986 2.986 2.986 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 181.2 184.2 182.8 kozaiamp 180.0 180.0 180.0