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: 13RO157 # Created Mon Apr 28 01:09:39 2025 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 4.32y # First observation: 2013/09/10 # Last observation: 2018/01/05 Preliminary a, adot, b, bdot, g, gdot: 0.000634 0.044014 -0.000001 -0.002746 0.032613 0.000000 # Chi-squared of fit: 9.61 DOF: 26 RMS: 0.14 # Min/Max residuals: -0.35 0.29 # Exact a, adot, b, bdot, g, gdot: 2.205826E-05 4.422771E-02 -2.341848E-06 -2.744505E-03 3.199762E-02 2.224693E-03 # Covariance matrix: 4.8572E-13 -2.3266E-13 -2.3806E-15 7.2091E-15 8.1638E-14 -8.2627E-13 -2.3266E-13 5.8708E-13 2.3324E-14 -3.8312E-14 3.1681E-13 3.3585E-12 -2.3806E-15 2.3324E-14 3.5004E-13 -1.1192E-13 1.7788E-14 1.4341E-13 7.2091E-15 -3.8312E-14 -1.1192E-13 5.0069E-14 -2.4574E-14 -2.3751E-13 8.1638E-14 3.1681E-13 1.7788E-14 -2.4574E-14 4.0213E-13 1.8805E-12 -8.2627E-13 3.3585E-12 1.4341E-13 -2.3751E-13 1.8805E-12 2.0936E-11 # lat0 lon0 xBary yBary zBary JD0 -11.918040 27.323657 0.645321 -0.159746 -0.757370 2456545.879508 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 1.03987 +/- 0.004 Argument of Peri: 247.58755 +/- 0.016 Long of Asc Node: 134.44799 +/- 0.001 Inclination: 12.23055 +/- 0.000 Eccentricity: 0.56118493 +/- 0.0001 Semi-Major Axis: 72.88229774 +/- 0.0126 Time of Perihelion: 2455884.0434 +/- 2.4 Perihelion: 31.98185060 +/- 0.0075 Aphelion: 113.78274489 +/- 0.0203 Period (y) 622.2162 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.15018572 +/- 0.0005 Ecliptic Y 13.82115141 +/- 0.0003 Ecliptic Z -6.45408642 +/- 0.0001 Ecliptic XDOT -0.00162085 +/- 0.0000 Ecliptic YDOT 0.00342416 +/- 0.0000 Ecliptic ZDOT -0.00026894 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.01737675 +/- 0.0005 Geocenter to KBO 31.25232515 +/- 0.0006 # Hcoef: 8.33
The following table shows the complete astrometric record for 13RO157. 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 (13RO157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.37873 01 58 28.653 -00 37 12.01 23.7g 13RO157 W84 C~52RO 2013 10 04.27462 01 56 43.109 -00 52 21.71 23.6g 13RO157 W84 C~52RO 2013 11 23.19984 01 52 18.344 -01 15 22.30 23.1i 13RO157 W84 C~52RO 2014 10 29.27540 02 04 13.621 -00 21 14.43 23.3r 13RO157 W84 C~52RO 2014 11 28.18350 02 01 39.338 -00 31 28.38 24.4g 13RO157 W84 C~52RO 2015 12 05.07384 02 10 49.846 +00 12 11.55 23.2i 13RO157 W84 C~52RO 2015 12 17.13079 02 10 06.636 +00 11 50.05 23.3i 13RO157 W84 C~52RO 2016 01 10.06762 02 09 24.995 +00 16 41.87 23.7g 13RO157 W84 C~52RO 2016 09 10.30904 02 27 20.635 +01 36 02.00 23.3r 13RO157 W84 C~52RO 2016 09 10.31040 02 27 20.625 +01 36 01.66 23.4i 13RO157 W84 C~52RO 2016 09 10.31179 02 27 20.629 +01 36 01.64 24.0g 13RO157 W84 C~52RO 2016 11 04.17111 02 22 59.540 +01 05 15.81 23.1r 13RO157 W84 C~52RO 2016 11 04.17248 02 22 59.550 +01 05 16.03 23.2i 13RO157 W84 C~52RO 2017 09 18.32393 02 36 26.122 +02 15 12.00 23.5i 13RO157 W84 C~52RO 2017 12 24.06796 02 28 45.068 +01 40 03.91 22.9r 13RO157 W84 C~52RO 2018 01 05.06538 02 28 19.353 +01 42 12.92 24.2g 13RO157 W84 C~52RO
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 -0.04 0.00 0.20
2 0.0654 -1802.40 0.28 -291.62 -0.20
3 0.2021 -6006.54 -0.06 -180.88 0.01
4 1.1332 5179.85 0.03 -933.72 0.05
5 1.2151 2797.13 -0.35 -689.61 0.06
6 2.2333 11459.33 0.03 -1159.95 0.12
7 2.2663 10843.62 0.14 -950.48 -0.15
8 2.3318 10361.21 -0.13 -455.97 -0.06
9 3.0005 27284.28 0.06 -1708.94 0.14
10 3.0005 27284.02 -0.13 -1709.21 -0.11
11 3.0005 27284.07 -0.00 -1709.25 -0.13
12 3.1507 22905.39 -0.06 -2055.65 -0.13
13 3.1507 22905.61 0.29 -2055.49 0.02
14 4.0218 35967.34 -0.16 -2401.01 -0.03
15 4.2866 28577.78 0.01 -1931.40 0.12
16 4.3195 28256.23 0.11 -1672.20 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.
13RO157 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 73.748 73.788 73.708 ecceobj 0.566 0.567 0.566 incobj 12.221 12.221 12.221 qmin 30.834 30.649 31.273 qmax 119.858 127.048 121.642 amean 70.095 73.099 73.666 amin 61.296 66.297 69.331 amax 75.971 79.522 77.219 emean 0.541 0.563 0.556 emin 0.471 0.516 0.521 emax 0.578 0.600 0.584 imean 11.201 10.698 12.923 imin 9.287 8.501 10.256 imax 13.181 12.563 14.784 excite_mean 0.575 0.593 0.600 fracstop 1.000 1.000 1.000 cjmean 2.944 2.941 2.942 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 183.0 205.3 175.7 kozaiamp 180.0 180.0 179.8