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: 13GR137
# Created Sun Nov 24 02:09:22 2024
# Orbit generated from Bernstein formalism
# Fitting 28 observations of 29
# Arc: 4.22y
# First observation: 2013/03/07
# Last observation: 2017/05/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000111 0.023850 0.000004 -0.001705 0.024198 0.000000
# Chi-squared of fit: 9.57 DOF: 50 RMS: 0.10
# Min/Max residuals: -0.25 0.25
# Exact a, adot, b, bdot, g, gdot:
1.532601E-05 2.367741E-02 -9.461066E-07 -1.688310E-03 2.424212E-02 -5.362482E-04
# Covariance matrix:
1.7723E-13 -5.5134E-14 -2.3140E-15 5.5094E-15 1.4303E-13 -8.3988E-13
-5.5134E-14 3.1981E-13 7.8336E-15 -2.7363E-14 1.3534E-13 4.2115E-12
-2.3140E-15 7.8336E-15 8.0392E-14 -3.1505E-14 1.0216E-15 1.2346E-13
5.5094E-15 -2.7363E-14 -3.1505E-14 3.5974E-14 -7.7554E-15 -4.1823E-13
1.4303E-13 1.3534E-13 1.0216E-15 -7.7554E-15 3.1541E-13 1.2069E-12
-8.3988E-13 4.2115E-12 1.2346E-13 -4.1823E-13 1.2069E-12 6.4331E-11
# lat0 lon0 xBary yBary zBary JD0
1.190955 -143.691930 0.751959 0.013514 -0.648120 2456359.026098
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 293.27915 +/- 0.178
Argument of Peri: 235.05118 +/- 0.217
Long of Asc Node: 51.33702 +/- 0.002
Inclination: 4.23105 +/- 0.000
Eccentricity: 0.04155923 +/- 0.0003
Semi-Major Axis: 42.53928815 +/- 0.0035
Time of Perihelion: 2475132.5435 +/- 50.0
Perihelion: 40.77138800 +/- 0.0137
Aphelion: 44.30718829 +/- 0.0138
Period (y) 277.4556 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.20073794 +/- 0.0008
Ecliptic Y -24.19613391 +/- 0.0006
Ecliptic Z 0.85734601 +/- 0.0000
Ecliptic XDOT 0.00162274 +/- 0.0000
Ecliptic YDOT -0.00212070 +/- 0.0000
Ecliptic ZDOT -0.00019175 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.90320291 +/- 0.0007
Geocenter to KBO 41.25051714 +/- 0.0010
# Hcoef: 8.15
The following table shows the complete astrometric record for 13GR137. 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 (13GR137) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.52532 14 17 33.229 -12 29 54.61 24.8r 13GR137 568 C~1XRY 2013 03 07.63463 14 17 32.909 -12 29 53.02 13GR137 568 C~1XRY 2013 04 04.52658 14 15 52.460 -12 21 17.16 24.9r 13GR137 568 C~1XRY 2013 04 07.38724 14 15 40.010 -12 20 14.45 24.4r 13GR137 568 C~1XRY 2013 04 07.43113 14 15 39.803 -12 20 13.43 23.5r 13GR137 568 C~1XRY 2013 04 07.50451 14 15 39.456 -12 20 11.73 23.3r 13GR137 568 C~1XRY 2013 04 07.51457 14 15 39.431 -12 20 11.60 24.1r 13GR137 568 C~1XRY 2013 04 07.51951 14 15 39.443 -12 20 11.46 23.7r 13GR137 568 C~1XRY 2013 04 07.52459 14 15 39.399 -12 20 11.41 13GR137 568 C~1XRY 2013 04 08.56428 14 15 34.781 -12 19 48.03 13GR137 568 C~1XRY 2013 04 09.36658 14 15 31.228 -12 19 30.09 23.8r 13GR137 568 C~1XRY 2013 04 09.40970 14 15 31.014 -12 19 29.07 24.1r 13GR137 568 C~1XRY 2013 04 09.45271 14 15 30.825 -12 19 28.24 24.2r 13GR137 568 C~1XRY 2013 05 11.45427 14 13 02.613 -12 07 16.12 24.3r 13GR137 568 C~1XRY 2013 05 12.45225 14 12 58.123 -12 06 54.32 24.5r 13GR137 568 C~1XRY 2013 07 04.31142 14 10 13.445 -11 54 33.80 24.8r 13GR137 568 C~1XRY 2013 07 06.31919 14 10 11.108 -11 54 26.83 24.5r 13GR137 568 C~1XRY 2014 02 25.54358 14 23 03.485 -13 03 52.40 24.2r 13GR137 568 C~1XRY 2014 03 28.44167 14 21 32.218 -12 56 09.00 24.6r 13GR137 568 C~1XRY 2014 03 28.48073 14 21 32.050 -12 56 08.30 24.1r 13GR137 568 C~1XRY 2014 04 29.35546 14 19 09.327 -12 44 28.11 24.4r 13GR137 568 C~1XRY 2014 04 29.43764 14 19 08.916 -12 44 26.16 24.5r 13GR137 568 C~1XRY 2014 04 29.44267 14 19 08.898 -12 44 26.09 24.8r 13GR137 568 C~1XRY 2014 05 22.42116 14 17 24.683 -12 36 09.41 24.3r 13GR137 568 C~1XRY 2014 05 28.39336 14 17 00.287 -12 34 15.79 24.2r 13GR137 568 C~1XRY 2016 05 29.19049 14 27 18.250 -13 38 14.23 24.1R 13GR137 G37 C~2bmo 2016 05 29.26234 14 27 17.951 -13 38 12.65 13GR137 G37 C~2bmo 2017 05 28.27970 14 32 38.116 -14 10 18.39 24.1r 13GR137 568 C~2KOG 2017 05 28.34479 14 32 37.828 -14 10 17.21 24.6r 13GR137 568 C~2KOG
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 0.02 0.00 -0.03
2 0.0003 -4.95 -0.19 -0.04 -0.07
3 0.0767 -1564.22 -0.03 2.88 0.10
4 0.0845 -1757.14 0.17 1.89 -0.05
5 0.0846 -1760.34 0.01 1.85 -0.05
6 0.0848 -1765.70 -0.25 1.78 -0.07
7 0.0848 -1766.09 0.06 1.78 -0.06
8 0.0849 -1765.97 ( 0.52) 1.97 ( 0.14)
9 0.0849 -1766.59 0.25 1.81 -0.02
10 0.0877 -1838.19 0.04 1.54 0.11
11 0.0899 -1893.27 0.14 1.29 0.10
12 0.0900 -1896.57 -0.13 1.22 0.07
13 0.0902 -1899.45 0.01 1.09 -0.02
14 0.1778 -4192.61 -0.08 -27.78 -0.01
15 0.1805 -4261.99 -0.22 -29.10 0.06
16 0.3252 -6788.55 0.21 -136.88 -0.03
17 0.3307 -6823.24 -0.10 -141.80 0.09
18 0.9720 5232.52 -0.03 -352.52 -0.00
19 1.0566 3819.73 0.15 -346.29 0.04
20 1.0567 3817.18 0.03 -346.43 -0.07
21 1.1440 1615.22 0.09 -364.47 -0.01
22 1.1442 1608.90 -0.15 -364.60 -0.01
23 1.1442 1608.63 -0.05 -364.62 -0.03
24 1.2071 4.89 0.18 -395.11 -0.08
25 1.2235 -369.76 -0.03 -405.17 -0.01
26 3.2270 9421.50 -0.02 -1111.24 -0.09
27 3.2272 9416.86 -0.16 -1111.14 0.16
28 4.2238 14465.75 0.11 -1463.40 0.02
29 4.2240 14461.38 -0.03 -1463.59 -0.04
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.
13GR137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.388 42.399 42.377 ecceobj 0.043 0.043 0.043 incobj 4.236 4.236 4.236 qmin 40.228 40.247 40.212 qmax 45.403 45.402 45.385 amean 42.690 42.687 42.680 amin 42.361 42.355 42.354 amax 43.039 43.038 43.019 emean 0.035 0.033 0.035 emin 0.013 0.009 0.011 emax 0.056 0.055 0.055 imean 2.458 2.438 2.431 imin 1.303 1.275 1.243 imax 3.609 3.609 3.609 excite_mean 0.056 0.055 0.056 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 198.6 188.9 190.0 kozaiamp 180.0 180.0 180.0