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: 13RD158 # Created Fri Apr 26 01:15:02 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 17 observations of 17 # Arc: 10.23y # First observation: 2013/09/12 # Last observation: 2023/12/07 # Chi-squared of fit: 9.16 DOF: 28 RMS: 0.13 # Min/Max residuals: -0.25 0.25 # Exact a, adot, b, bdot, g, gdot: 1.555422E-05 2.494655E-02 8.646723E-06 1.447002E-02 2.472264E-02 -9.486087E-03 # Covariance matrix: 3.3274E-13 -1.0705E-13 8.6526E-14 -5.9379E-14 8.7021E-14 -3.3625E-13 -1.0705E-13 8.0630E-14 -6.3426E-14 4.3575E-14 6.5658E-14 2.4862E-13 8.6526E-14 -6.3426E-14 2.3504E-13 -6.9036E-14 -1.9017E-14 -2.3354E-13 -5.9379E-14 4.3575E-14 -6.9036E-14 3.6427E-14 1.3211E-14 1.6039E-13 8.7021E-14 6.5658E-14 -1.9017E-14 1.3211E-14 4.1385E-13 8.1039E-14 -3.3625E-13 2.4862E-13 -2.3354E-13 1.6039E-13 8.1039E-14 9.1278E-13 # lat0 lon0 xBary yBary zBary JD0 -13.557636 20.291571 0.516132 -0.202634 -0.840763 2456547.893578 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 350.67033 +/- 0.004 Argument of Peri: 24.00183 +/- 0.006 Long of Asc Node: 41.15528 +/- 0.000 Inclination: 32.66042 +/- 0.000 Eccentricity: 0.63602078 +/- 0.0001 Semi-Major Axis: 98.17448013 +/- 0.0298 Time of Perihelion: 2465756.3871 +/- 157.8 Perihelion: 35.73347113 +/- 0.0145 Aphelion: 160.61548912 +/- 0.0497 Period (y) 972.7609 +/- 0.44 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.87103765 +/- 0.0010 Ecliptic Y 13.45555774 +/- 0.0004 Ecliptic Z -9.48182264 +/- 0.0002 Ecliptic XDOT -0.00156978 +/- 0.0000 Ecliptic YDOT 0.00236613 +/- 0.0000 Ecliptic ZDOT 0.00180420 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.29398639 +/- 0.0009 Geocenter to KBO 40.44901911 +/- 0.0011 # Hcoef: 7.10
The following table shows the complete astrometric record for 13RD158. 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 (13RD158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.39280 01 35 17.166 -04 38 40.61 23.3g 13RD158 W84 C~52RQ 2013 10 29.06106 01 31 44.971 -04 55 06.59 24.0g 13RD158 W84 C~52RQ 2014 08 18.35265 01 40 36.369 -03 10 17.81 23.4i 13RD158 W84 C~52RQ 2014 10 02.33274 01 38 00.358 -03 27 30.91 24.1g 13RD158 W84 C~52RQ 2014 10 23.23299 01 36 19.960 -03 34 31.46 23.0i 13RD158 W84 C~52RQ 2014 10 23.23438 01 36 19.957 -03 34 31.55 23.5r 13RD158 W84 C~52RQ 2015 09 04.33184 01 44 03.034 -01 55 58.38 22.4z 13RD158 W84 C~52RQ 2015 09 04.33319 01 44 03.010 -01 55 58.56 22.9i 13RD158 W84 C~52RQ 2015 11 01.20290 01 39 47.139 -02 16 05.31 22.8z 13RD158 W84 C~52RQ 2015 11 07.12743 01 39 19.038 -02 17 17.57 23.3r 13RD158 W84 C~52RQ 2016 12 07.07426 01 41 28.042 -00 56 53.97 22.8z 13RD158 W84 C~52RQ 2017 10 29.25934 01 48 30.202 +00 30 28.58 22.0z 13RD158 W84 C~52RQ 2017 11 15.15429 01 47 09.245 +00 27 02.58 23.3r 13RD158 W84 C~52RQ 2017 11 18.18692 01 46 55.740 +00 26 39.55 23.6g 13RD158 W84 C~52RQ 2018 09 09.27821 01 56 41.284 +02 12 21.49 23.8g 13RD158 W84 C~52RQ 2023 12 07.114260 02 13 09.037 +09 16 19.36 22.5G 13RD158 G37 C~7dIE 2023 12 07.164830 02 13 08.811 +09 16 18.84 13RD158 G37 C~7dIE
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 0.03 0.00 0.15
2 0.1278 0.00 -0.25 0.00 -0.20
3 0.9308 0.00 0.08 0.00 0.06
4 1.0539 0.00 -0.23 0.00 0.14
5 1.1111 0.00 -0.02 0.00 0.14
6 1.1111 0.00 0.04 0.00 0.08
7 1.9766 0.00 0.24 0.00 -0.01
8 1.9766 0.00 -0.05 0.00 -0.16
9 2.1350 0.00 0.04 0.00 0.04
10 2.1512 0.00 -0.11 0.00 -0.05
11 3.2353 0.00 0.25 0.00 0.00
12 4.1283 0.00 0.08 0.00 -0.09
13 4.1746 0.00 0.02 0.00 -0.07
14 4.1829 0.00 0.14 0.00 -0.10
15 4.9908 0.00 -0.10 0.00 -0.02
16 10.2333 0.00 0.09 0.00 0.18
17 10.2335 0.00 -0.22 0.00 -0.08
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.
13RD158 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 99.215 99.213 99.217 ecceobj 0.639 0.639 0.639 incobj 32.614 32.614 32.614 qmin 34.359 34.866 34.375 qmax 164.271 163.910 164.424 amean 97.189 97.196 97.199 amin 95.517 95.440 95.339 amax 99.955 99.844 99.956 emean 0.632 0.631 0.634 emin 0.615 0.618 0.624 emax 0.647 0.642 0.646 imean 31.988 32.112 31.837 imin 31.361 31.781 31.390 imax 33.246 32.786 32.370 excite_mean 0.825 0.825 0.825 fracstop 1.000 1.000 1.000 cjmean 2.670 2.670 2.670 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 79.7 71.0 77.0 kozaiamp 62.2 50.9 55.7