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: 13GM137 # Created Sat Apr 20 01:14:30 2024 # Orbit generated from Bernstein formalism # Fitting 37 observations of 37 # Arc: 3.09y # First observation: 2013/02/08 # Last observation: 2016/03/13 Preliminary a, adot, b, bdot, g, gdot: -0.000097 0.020962 -0.000011 -0.008678 0.023448 0.000000 # Chi-squared of fit: 13.84 DOF: 68 RMS: 0.11 # Min/Max residuals: -0.32 0.32 # Exact a, adot, b, bdot, g, gdot: 1.526060E-05 2.074447E-02 -5.412156E-06 -8.590893E-03 2.331742E-02 2.110247E-03 # Covariance matrix: 1.8630E-13 -5.8522E-14 -1.3375E-15 4.4770E-15 1.2665E-13 -1.5911E-13 -5.8522E-14 2.6571E-13 4.4644E-14 -1.0536E-13 2.2472E-13 4.5018E-12 -1.3375E-15 4.4644E-14 1.2460E-13 -8.9106E-14 4.3234E-14 9.7896E-13 4.4770E-15 -1.0536E-13 -8.9106E-14 1.1182E-13 -9.9832E-14 -2.3163E-12 1.2665E-13 2.2472E-13 4.3234E-14 -9.9832E-14 4.3968E-13 4.3193E-12 -1.5911E-13 4.5018E-12 9.7896E-13 -2.3163E-12 4.3193E-12 9.8828E-11 # lat0 lon0 xBary yBary zBary JD0 -0.210917 -145.766412 0.949139 -0.000926 -0.266348 2456332.049418 # Heliocentric elements and errors Epoch: 2456330.5000 = 2013/02/07 Mean Anomaly: 70.81199 +/- 0.040 Argument of Peri: 101.07131 +/- 0.071 Long of Asc Node: 32.46549 +/- 0.000 Inclination: 22.49279 +/- 0.001 Eccentricity: 0.07776161 +/- 0.0004 Semi-Major Axis: 44.04016508 +/- 0.0046 Time of Perihelion: 2435332.5861 +/- 11.4 Perihelion: 40.61553090 +/- 0.0198 Aphelion: 47.46479925 +/- 0.0200 Period (y) 292.2682 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.20886898 +/- 0.0010 Ecliptic Y -23.48953408 +/- 0.0007 Ecliptic Z -0.15811237 +/- 0.0000 Ecliptic XDOT 0.00116228 +/- 0.0000 Ecliptic YDOT -0.00215010 +/- 0.0000 Ecliptic ZDOT -0.00100948 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.16092450 +/- 0.0009 Geocenter to KBO 42.88639231 +/- 0.0012 # Hcoef: 7.28
The following table shows the complete astrometric record for 13GM137. 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 (13GM137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.54864 14 07 36.896 -13 07 46.18 23.7r 13GM137 568 C~1XRY 2013 02 08.58804 14 07 36.877 -13 07 46.23 22.8r 13GM137 568 C~1XRY 2013 04 04.40583 14 04 59.047 -12 58 55.65 23.8r 13GM137 568 C~1XRY 2013 04 04.44572 14 04 58.884 -12 58 54.88 23.0r 13GM137 568 C~1XRY 2013 04 04.48637 14 04 58.687 -12 58 54.14 23.2r 13GM137 568 C~1XRY 2013 04 05.48653 14 04 54.226 -12 58 35.92 23.7r 13GM137 568 C~1XRY 2013 04 05.49040 14 04 54.211 -12 58 35.90 23.5r 13GM137 568 C~1XRY 2013 04 05.50731 14 04 54.132 -12 58 35.57 22.6r 13GM137 568 C~1XRY 2013 04 05.51127 14 04 54.109 -12 58 35.63 23.4r 13GM137 568 C~1XRY 2013 04 06.57873 14 04 49.321 -12 58 15.89 23.2r 13GM137 568 C~1XRY 2014 02 24.56234 14 11 10.114 -13 59 09.50 23.8r 13GM137 568 C~1XRY 2014 02 25.52005 14 11 08.117 -13 59 04.99 24.0r 13GM137 568 C~1XRY 2014 02 25.53194 14 11 08.090 -13 59 04.98 23.6r 13GM137 568 C~1XRY 2014 02 25.56789 14 11 08.011 -13 59 04.89 23.8r 13GM137 568 C~1XRY 2014 02 25.60963 14 11 07.920 -13 59 04.52 23.7r 13GM137 568 C~1XRY 2014 02 27.64280 14 11 03.396 -13 58 53.69 23.6r 13GM137 568 C~1XRY 2014 03 27.42066 14 09 32.388 -13 53 48.29 23.6r 13GM137 568 C~1XRY 2014 03 28.42189 14 09 28.265 -13 53 32.68 23.6r 13GM137 568 C~1XRY 2014 03 28.46125 14 09 28.098 -13 53 32.05 23.6r 13GM137 568 C~1XRY 2014 04 05.38731 14 08 54.060 -13 51 20.32 23.8r 13GM137 568 C~1XRY 2014 04 23.13834 14 07 31.88 -13 45 48.3 13GM137 W84 C~1j9S 2014 04 25.15762 14 07 22.28 -13 45 08.7 24.7V 13GM137 W84 C~1j9S 2014 04 26.09296 14 07 17.88 -13 44 50.7 13GM137 W84 C~1j9S 2014 04 29.32010 14 07 02.584 -13 43 47.69 23.6r 13GM137 568 C~1XRY 2014 04 29.36054 14 07 02.385 -13 43 46.83 23.3r 13GM137 568 C~1XRY 2014 04 29.40090 14 07 02.189 -13 43 46.12 23.7r 13GM137 568 C~1XRY 2014 05 22.38938 14 05 19.097 -13 36 37.05 24.0r 13GM137 568 C~1XRY 2014 05 22.39778 14 05 19.076 -13 36 36.67 23.2r 13GM137 568 C~1XRY 2014 05 28.36607 14 04 55.347 -13 34 58.76 23.6r 13GM137 568 C~1XRY 2015 04 25.15121 14 11 23.18 -14 37 38.9 23.8V 13GM137 W84 C~2fc7 2015 04 25.18567 14 11 23.03 -14 37 38.4 13GM137 W84 C~3vQq 2015 04 25.22005 14 11 22.85 -14 37 37.6 13GM137 W84 C~2fc7 2015 04 26.18124 14 11 18.29 -14 37 19.2 13GM137 W84 C~2fc7 2015 04 26.21577 14 11 18.12 -14 37 18.4 13GM137 W84 C~3vQq 2015 04 26.25040 14 11 17.95 -14 37 17.8 13GM137 W84 C~2fc7 2016 03 13.35457 14 18 21.85 -15 40 11.1 23.5R 13GM137 G37 C~1pQU 2016 03 13.43605 14 18 21.60 -15 40 10.4 13GM137 G37 C~1pQU
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 -0.25 0.00 -0.09
2 0.0001 -0.24 -0.06 -0.14 -0.00
3 0.1502 -2349.93 0.07 -282.59 -0.05
4 0.1503 -2352.43 0.28 -282.68 0.09
5 0.1504 -2355.39 0.10 -282.96 0.03
6 0.1531 -2422.92 -0.04 -288.01 0.06
7 0.1532 -2423.13 0.02 -288.07 0.02
8 0.1532 -2424.33 -0.02 -288.15 0.03
9 0.1532 -2424.62 -0.04 -288.32 -0.12
10 0.1561 -2497.16 -0.06 -293.57 0.06
11 1.0432 3964.94 -0.04 -1859.69 0.02
12 1.0458 3936.03 -0.00 -1865.15 0.07
13 1.0458 3935.65 0.00 -1865.27 0.02
14 1.0459 3934.54 0.04 -1865.57 -0.06
15 1.0460 3933.17 0.01 -1865.67 0.11
16 1.0516 3867.46 0.00 -1877.48 0.04
17 1.1276 2516.43 0.05 -2033.66 0.04
18 1.1304 2454.63 -0.03 -2039.12 0.04
19 1.1305 2452.12 -0.05 -2039.34 0.05
20 1.1522 1940.93 0.11 -2081.90 0.05
21 1.2008 701.89 0.22 -2172.83 0.16
22 1.2063 556.86 -0.19 -2182.81 0.18
23 1.2089 490.43 0.32 -2187.54 0.03
24 1.2177 259.37 0.01 -2203.60 -0.13
25 1.2178 256.35 -0.09 -2203.77 -0.09
26 1.2179 253.42 -0.09 -2204.07 -0.17
27 1.2809 -1305.74 -0.19 -2309.91 -0.32
28 1.2809 -1306.16 -0.07 -2309.65 -0.02
29 1.2972 -1664.84 0.00 -2335.24 0.06
30 2.2056 4916.42 -0.10 -3973.99 -0.04
31 2.2057 4914.20 0.18 -3974.25 -0.11
32 2.2058 4911.47 -0.06 -3974.37 -0.05
33 2.2084 4842.89 0.05 -3979.12 -0.10
34 2.2085 4840.30 -0.04 -3979.19 0.02
35 2.2086 4837.77 -0.05 -3979.45 -0.06
36 3.0905 11892.21 -0.13 -5518.36 0.09
37 3.0907 11888.56 0.14 -5518.88 0.14
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.
13GM137 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.882 43.895 43.868 ecceobj 0.075 0.076 0.074 incobj 22.531 22.530 22.531 qmin 40.191 40.172 40.180 qmax 48.390 48.410 48.313 amean 44.170 44.186 44.155 amin 43.824 43.836 43.821 amax 44.537 44.543 44.519 emean 0.075 0.076 0.074 emin 0.064 0.066 0.063 emax 0.087 0.087 0.086 imean 21.909 21.902 21.908 imin 21.564 21.564 21.561 imax 22.188 22.179 22.179 excite_mean 0.381 0.381 0.380 fracstop 1.000 1.000 1.000 cjmean 2.922 2.922 2.922 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 176.3 176.5 176.2 kozaiamp 180.0 179.9 179.9