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: 13RH157 # Created Sun Nov 24 02:09:31 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 3.96y # First observation: 2013/09/10 # Last observation: 2017/08/27 Preliminary a, adot, b, bdot, g, gdot: -0.000053 0.025167 -0.000001 0.000472 0.025569 0.000000 # Chi-squared of fit: 4.22 DOF: 18 RMS: 0.10 # Min/Max residuals: -0.19 0.18 # Exact a, adot, b, bdot, g, gdot: 1.643314E-05 2.524456E-02 -3.941573E-07 4.758720E-04 2.572042E-02 1.004702E-03 # Covariance matrix: 4.0969E-13 4.9516E-14 7.6570E-16 2.0073E-15 4.2107E-13 1.7001E-12 4.9516E-14 9.5147E-13 -9.6457E-16 1.9057E-14 5.9567E-13 9.8898E-12 7.6570E-16 -9.6457E-16 2.5039E-13 -6.8811E-14 1.4990E-15 -7.8310E-15 2.0073E-15 1.9057E-14 -6.8811E-14 3.7443E-14 1.1319E-14 2.0477E-13 4.2107E-13 5.9567E-13 1.4990E-15 1.1319E-14 1.2098E-12 7.4473E-12 1.7001E-12 9.8898E-12 -7.8310E-15 2.0477E-13 7.4473E-12 1.0819E-10 # lat0 lon0 xBary yBary zBary JD0 -5.452204 17.866448 0.509738 -0.082500 -0.865421 2456545.854968 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 136.85713 +/- 0.485 Argument of Peri: 140.86388 +/- 0.482 Long of Asc Node: 96.52866 +/- 0.005 Inclination: 5.42479 +/- 0.000 Eccentricity: 0.03717259 +/- 0.0003 Semi-Major Axis: 38.67547230 +/- 0.0051 Time of Perihelion: 2423142.7823 +/- 118.1 Perihelion: 37.23780464 +/- 0.0114 Aphelion: 40.11313997 +/- 0.0116 Period (y) 240.5258 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.82051859 +/- 0.0016 Ecliptic Y 11.65891111 +/- 0.0005 Ecliptic Z -3.69420088 +/- 0.0002 Ecliptic XDOT -0.00072470 +/- 0.0000 Ecliptic YDOT 0.00259058 +/- 0.0000 Ecliptic ZDOT 0.00004040 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.74882332 +/- 0.0015 Geocenter to KBO 38.87961774 +/- 0.0017 # Hcoef: 7.74
The following table shows the complete astrometric record for 13RH157. 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 (13RH157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.35419 01 14 12.864 +01 57 58.49 24.5g 13RH157 W84 C~52RO 2013 09 10.35559 01 14 12.873 +01 57 58.34 23.7r 13RH157 W84 C~52RO 2013 09 10.35696 01 14 12.873 +01 57 58.53 23.4i 13RH157 W84 C~52RO 2013 10 13.21004 01 11 45.376 +01 41 52.84 23.1i 13RH157 W84 C~52RO 2013 11 08.20269 01 09 46.529 +01 30 56.18 23.8r 13RH157 W84 C~52RO 2013 11 08.20408 01 09 46.510 +01 30 56.04 23.6i 13RH157 W84 C~52RO 2016 08 31.35962 01 30 40.470 +03 44 27.16 24.1g 13RH157 W84 C~52RO 2016 11 05.15619 01 25 53.953 +03 14 40.23 23.6r 13RH157 W84 C~52RO 2017 08 22.38782 01 36 21.164 +04 21 25.45 23.9r 13RH157 W84 C~52RO 2017 08 22.38920 01 36 21.163 +04 21 25.60 23.4i 13RH157 W84 C~52RO 2017 08 27.37486 01 36 08.973 +04 19 41.88 23.2i 13RH157 W84 C~52RO 2017 08 27.38869 01 36 08.937 +04 19 41.39 24.0r 13RH157 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 -0.19 0.00 0.14
2 0.0000 0.07 -0.03 -0.19 -0.04
3 0.0000 0.14 0.13 -0.01 0.14
4 0.0900 -2412.32 0.12 -55.63 0.05
5 0.1611 -4310.75 0.09 12.60 -0.11
6 0.1611 -4311.07 -0.13 12.58 -0.14
7 2.9733 16144.95 0.05 334.40 -0.08
8 3.1535 11477.05 -0.03 291.72 -0.12
9 3.9481 21749.64 -0.12 482.06 -0.08
10 3.9481 21749.68 -0.02 482.21 0.07
11 3.9617 21539.51 0.09 454.00 0.18
12 3.9618 21538.82 0.04 453.75 -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.
13RH157 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 38.868 38.883 38.852 ecceobj 0.035 0.035 0.035 incobj 5.427 5.427 5.427 qmin 35.342 35.386 35.391 qmax 42.212 42.261 42.157 amean 38.674 38.690 38.656 amin 38.377 38.393 38.349 amax 38.994 39.006 38.983 emean 0.057 0.057 0.057 emin 0.030 0.030 0.030 emax 0.083 0.084 0.083 imean 4.828 4.843 4.789 imin 3.075 3.064 3.064 imax 6.567 6.584 6.524 excite_mean 0.103 0.103 0.102 fracstop 1.000 1.000 1.000 cjmean 3.033 3.033 3.033 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 182.0 181.8 182.2 kozaiamp 180.0 179.9 180.0