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: 13RP157 # Created Wed Dec 4 02:09:31 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 5.21y # First observation: 2013/09/10 # Last observation: 2018/11/28 # Chi-squared of fit: 5.17 DOF: 26 RMS: 0.10 # Min/Max residuals: -0.16 0.25 # Exact a, adot, b, bdot, g, gdot: 1.804676E-05 2.975428E-02 -3.327933E-07 -7.905379E-04 2.736601E-02 -6.865407E-04 # Covariance matrix: 5.7347E-13 -1.6563E-13 -4.2885E-15 3.2217E-15 1.9885E-13 -5.3656E-13 -1.6563E-13 3.4323E-13 1.2850E-15 -7.7329E-15 2.8586E-13 2.3140E-12 -4.2885E-15 1.2850E-15 3.8863E-13 -1.0297E-13 -4.8207E-15 1.1178E-14 3.2217E-15 -7.7329E-15 -1.0297E-13 3.5754E-14 -4.7270E-15 -5.8775E-14 1.9885E-13 2.8586E-13 -4.8207E-15 -4.7270E-15 6.4965E-13 2.0531E-12 -5.3656E-13 2.3140E-12 1.1178E-14 -5.8775E-14 2.0531E-12 1.7427E-11 # lat0 lon0 xBary yBary zBary JD0 -8.846409 21.236233 0.559557 -0.128790 -0.828175 2456545.882398 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 344.16660 +/- 0.049 Argument of Peri: 279.75157 +/- 0.065 Long of Asc Node: 121.29895 +/- 0.002 Inclination: 8.80490 +/- 0.000 Eccentricity: 0.12793364 +/- 0.0001 Semi-Major Axis: 42.54840063 +/- 0.0051 Time of Perihelion: 2461005.0629 +/- 22.4 Perihelion: 37.10502866 +/- 0.0062 Aphelion: 47.99177259 +/- 0.0072 Period (y) 277.5448 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.63849924 +/- 0.0010 Ecliptic Y 12.86356475 +/- 0.0004 Ecliptic Z -5.61964638 +/- 0.0002 Ecliptic XDOT -0.00115901 +/- 0.0000 Ecliptic YDOT 0.00274450 +/- 0.0000 Ecliptic ZDOT -0.00006745 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.37484756 +/- 0.0009 Geocenter to KBO 36.54171931 +/- 0.0011 # Hcoef: 7.61
The following table shows the complete astrometric record for 13RP157. 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 (13RP157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.38162 01 31 42.280 +00 04 22.04 23.3r 13RP157 W84 C~52RO 2013 09 10.38300 01 31 42.291 +00 04 22.04 22.7i 13RP157 W84 C~52RO 2013 12 21.10270 01 24 51.080 -00 30 15.47 23.2i 13RP157 W84 C~52RO 2015 11 01.20148 01 40 32.971 +00 49 12.36 23.4i 13RP157 W84 C~52RO 2015 11 06.19474 01 40 08.678 +00 47 13.17 23.2i 13RP157 W84 C~52RO 2015 12 18.10624 01 37 36.318 +00 39 24.98 23.2i 13RP157 W84 C~52RO 2016 10 23.19963 01 47 41.077 +01 28 23.17 23.5r 13RP157 W84 C~52RO 2016 10 28.25638 01 47 15.509 +01 26 05.80 22.4z 13RP157 W84 C~52RO 2016 10 29.17797 01 47 10.889 +01 25 41.31 23.5r 13RP157 W84 C~52RO 2016 10 29.24842 01 47 10.539 +01 25 39.44 22.5i 13RP157 W84 C~52RO 2017 09 14.30679 01 57 08.321 +02 23 48.55 23.8r 13RP157 W84 C~52RO 2017 10 29.26071 01 53 39.156 +02 01 16.64 23.2i 13RP157 W84 C~52RO 2017 10 30.22666 01 53 34.284 +02 00 51.37 22.2z 13RP157 W84 C~52RO 2017 11 16.15848 01 52 12.179 +01 54 31.87 23.9r 13RP157 W84 C~52RO 2018 09 09.27236 02 03 52.806 +03 01 36.46 22.8i 13RP157 W84 C~52RP 2018 11 28.04046 01 57 48.778 +02 26 52.50 24.0g 13RP157 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 -0.15 0.00 -0.09
2 0.0000 0.00 0.09 0.00 -0.05
3 0.2785 0.00 0.07 0.00 0.08
4 2.1405 0.00 -0.02 0.00 0.05
5 2.1542 0.00 0.03 0.00 0.05
6 2.2689 0.00 -0.05 0.00 -0.00
7 3.1179 0.00 -0.00 0.00 0.18
8 3.1318 0.00 -0.09 0.00 0.25
9 3.1343 0.00 0.00 0.00 -0.12
10 3.1345 0.00 0.14 0.00 -0.16
11 4.0107 0.00 -0.01 0.00 0.01
12 4.1338 0.00 -0.02 0.00 0.03
13 4.1365 0.00 0.08 0.00 -0.11
14 4.1828 0.00 0.08 0.00 -0.11
15 4.9963 0.00 0.11 0.00 -0.05
16 5.2147 0.00 -0.16 0.00 0.09
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.
13RP157 quality flag:2 Type: SCATNEAR 5:3EE SCATNEAR axisobj 42.790 42.790 42.790 ecceobj 0.132 0.132 0.132 incobj 8.802 8.802 8.802 qmin 36.234 36.308 36.419 qmax 49.079 48.965 48.895 amean 42.325 42.327 42.326 amin 41.829 41.847 41.847 amax 42.862 42.880 42.871 emean 0.120 0.120 0.114 emin 0.083 0.075 0.075 emax 0.145 0.143 0.141 imean 7.826 7.183 7.735 imin 5.893 5.908 5.880 imax 9.889 9.058 9.778 excite_mean 0.183 0.174 0.178 fracstop 1.000 1.000 1.000 cjmean 3.042 3.047 3.045 libcent 0 -180.0 185.9 -180.0 libamp 0 -180.0 172.4 -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 181.0 174.7 174.7 kozaiamp 180.0 180.0 180.0