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: 13RR157 # Created Sun Dec 22 02:09:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 10.97y # First observation: 2013/09/11 # Last observation: 2024/08/30 # Chi-squared of fit: 3.91 DOF: 26 RMS: 0.09 # Min/Max residuals: -0.19 0.22 # Exact a, adot, b, bdot, g, gdot: 1.476837E-05 2.565607E-02 -9.058661E-06 -1.479066E-02 2.796502E-02 -7.188699E-04 # Covariance matrix: 3.1541E-13 -1.0513E-13 -6.3239E-14 4.2693E-14 8.4112E-15 -2.4736E-13 -1.0513E-13 6.1291E-14 4.6523E-14 -3.0638E-14 5.4132E-14 1.7759E-13 -6.3239E-14 4.6523E-14 2.4016E-13 -5.6894E-14 7.0919E-14 1.5689E-13 4.2693E-14 -3.0638E-14 -5.6894E-14 2.5949E-14 -3.7772E-14 -1.0285E-13 8.4112E-15 5.4132E-14 7.0919E-14 -3.7772E-14 7.8217E-13 2.1983E-13 -2.4736E-13 1.7759E-13 1.5689E-13 -1.0285E-13 2.1983E-13 5.9618E-13 # lat0 lon0 xBary yBary zBary JD0 12.280145 -25.407258 -0.238452 0.208293 -0.956494 2456546.681568 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 337.89249 +/- 0.049 Argument of Peri: 181.21707 +/- 0.053 Long of Asc Node: 174.66888 +/- 0.000 Inclination: 32.14403 +/- 0.000 Eccentricity: 0.04450649 +/- 0.0001 Semi-Major Axis: 38.28267790 +/- 0.0050 Time of Perihelion: 2461859.4923 +/- 19.6 Perihelion: 36.57885009 +/- 0.0058 Aphelion: 39.98650570 +/- 0.0062 Period (y) 236.8709 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.54785782 +/- 0.0010 Ecliptic Y -15.19301573 +/- 0.0005 Ecliptic Z 7.60530845 +/- 0.0002 Ecliptic XDOT 0.00128759 +/- 0.0000 Ecliptic YDOT 0.00216505 +/- 0.0000 Ecliptic ZDOT -0.00142974 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.71555879 +/- 0.0009 Geocenter to KBO 35.75900834 +/- 0.0011 # Hcoef: 7.40
The following table shows the complete astrometric record for 13RR157. 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 (13RR157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.18079 22 08 00.625 +01 37 34.53 23.0g 13RR157 W84 C~52RP 2013 09 13.13207 22 07 51.521 +01 36 12.48 22.7i 13RR157 W84 C~52RP 2013 09 13.14596 22 07 51.463 +01 36 11.80 22.4z 13RR157 W84 C~52RP 2013 10 10.08498 22 06 05.928 +01 17 04.89 23.5r 13RR157 W84 C~52RP 2016 08 15.23754 22 30 19.581 +01 06 42.31 22.3z 13RR157 W84 C~52RP 2016 08 26.22678 22 29 25.386 +01 00 11.03 23.1r 13RR157 W84 C~52RP 2016 08 26.22814 22 29 25.369 +01 00 11.07 22.8i 13RR157 W84 C~52RP 2016 08 26.22951 22 29 25.374 +01 00 10.96 23.6g 13RR157 W84 C~52RP 2016 09 23.11646 22 27 10.943 +00 41 12.99 23.4i 13RR157 W84 C~52RP 2016 09 26.09636 22 26 58.025 +00 39 06.59 23.0r 13RR157 W84 C~52RP 2016 09 26.09772 22 26 58.024 +00 39 06.55 24.0g 13RR157 W84 C~52RP 2017 09 27.12752 22 33 36.898 +00 22 30.00 22.4r 13RR157 W84 C~52RP 2017 11 09.01584 22 31 37.762 -00 04 10.85 23.3g 13RR157 W84 C~52RP 2018 11 26.03965 22 38 11.635 -00 26 45.16 22.6z 13RR157 W84 C~52RP 2024 08 30.379110 23 23 04.924 -01 10 21.73 23.3G 13RR157 G37 C~8Dcp 2024 08 30.434240 23 23 04.654 -01 10 23.83 13RR157 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 -0.10 0.00 0.11
2 0.0053 0.00 -0.03 0.00 -0.02
3 0.0054 0.00 0.09 0.00 -0.12
4 0.0791 0.00 0.04 0.00 -0.11
5 2.9269 0.00 -0.13 0.00 0.08
6 2.9570 0.00 0.04 0.00 -0.06
7 2.9570 0.00 -0.11 0.00 0.03
8 2.9570 0.00 0.07 0.00 -0.03
9 3.0334 0.00 0.09 0.00 0.07
10 3.0415 0.00 0.01 0.00 0.03
11 3.0415 0.00 0.09 0.00 0.05
12 4.0437 0.00 0.22 0.00 0.11
13 4.1611 0.00 -0.19 0.00 0.01
14 5.2070 0.00 -0.01 0.00 -0.07
15 10.9684 0.00 -0.00 0.00 -0.06
16 10.9685 0.00 -0.01 0.00 0.01
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.
13RR157 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.393 38.393 38.393 ecceobj 0.048 0.048 0.048 incobj 32.072 32.072 32.072 qmin 35.972 36.010 35.948 qmax 41.036 41.031 41.039 amean 38.397 38.397 38.397 amin 38.108 38.108 38.108 amax 38.699 38.699 38.699 emean 0.049 0.049 0.049 emin 0.037 0.037 0.037 emax 0.061 0.061 0.061 imean 31.791 31.791 31.791 imin 31.384 31.386 31.372 imax 32.178 32.179 32.184 excite_mean 0.529 0.529 0.529 fracstop 1.000 1.000 1.000 cjmean 2.701 2.701 2.701 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 191.2 191.3 191.2 kozaiamp 180.0 179.9 179.9