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: 13LY35 # Created Sat Apr 27 01:14:41 2024 # Orbit generated from Bernstein formalism # Fitting 28 observations of 28 # Arc: 4.94y # First observation: 2010/06/07 # Last observation: 2015/05/18 Preliminary a, adot, b, bdot, g, gdot: -0.000409 0.024170 -0.000038 0.002131 0.024741 0.000000 # Chi-squared of fit: 22.18 DOF: 50 RMS: 0.16 # Min/Max residuals: -0.62 0.36 # Exact a, adot, b, bdot, g, gdot: 1.516499E-05 2.388135E-02 8.063710E-07 2.108619E-03 2.447090E-02 -1.425654E-03 # Covariance matrix: 6.0457E-13 -4.1848E-13 3.1646E-14 -2.9951E-14 -2.0759E-13 -2.5539E-12 -4.1848E-13 3.6286E-13 -3.1429E-14 2.9408E-14 2.4762E-13 2.5068E-12 3.1646E-14 -3.1429E-14 2.4857E-13 -7.6855E-14 -3.0865E-14 -2.3986E-13 -2.9951E-14 2.9408E-14 -7.6855E-14 3.0937E-14 2.5256E-14 2.2236E-13 -2.0759E-13 2.4762E-13 -3.0865E-14 2.5256E-14 6.8830E-13 2.1446E-12 -2.5539E-12 2.5068E-12 -2.3986E-13 2.2236E-13 2.1446E-12 1.8950E-11 # lat0 lon0 xBary yBary zBary JD0 -7.248198 -119.869483 -0.279775 -0.123021 -0.966778 2455354.899116 # Heliocentric elements and errors Epoch: 2455350.5000 = 2010/06/03 Mean Anomaly: 292.88153 +/- 0.076 Argument of Peri: 18.92369 +/- 0.091 Long of Asc Node: 294.67305 +/- 0.002 Inclination: 8.71129 +/- 0.000 Eccentricity: 0.05797844 +/- 0.0002 Semi-Major Axis: 42.66931818 +/- 0.0055 Time of Perihelion: 2474331.1694 +/- 21.0 Perihelion: 40.19541772 +/- 0.0095 Aphelion: 45.14321864 +/- 0.0098 Period (y) 278.7287 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -20.42724635 +/- 0.0007 Ecliptic Y -36.14005203 +/- 0.0012 Ecliptic Z -5.15574648 +/- 0.0002 Ecliptic XDOT 0.00238243 +/- 0.0000 Ecliptic YDOT -0.00121322 +/- 0.0000 Ecliptic ZDOT 0.00025412 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.83249307 +/- 0.0011 Geocenter to KBO 40.86485893 +/- 0.0014 # Hcoef: 5.64
The following table shows the complete astrometric record for 13LY35. 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 (13LY35) followed by the observatory code and reference code for the source of the astrometry.
2010 06 07.39835 15 44 57.155 -27 15 14.76 22.3r 13LY35 F51 C~1w3u 2011 06 07.38716 15 51 06.462 -27 26 04.25 21.9w 13LY35 F51 C~1w3u 2011 06 07.40142 15 51 06.391 -27 26 03.89 21.9G 13LY35 F51 C~2jhD 2011 06 07.41559 15 51 06.314 -27 26 03.66 21.7G 13LY35 F51 C~2jhD 2011 06 07.42975 15 51 06.242 -27 26 03.46 22.2w 13LY35 F51 C~1w3u 2011 06 08.36129 15 51 01.555 -27 25 45.93 22.3G 13LY35 F51 C~2jhD 2011 07 20.25261 15 48 20.188 -27 12 40.56 22.1G 13LY35 F51 C~2jhD 2012 05 12.45151 15 59 29.174 -27 42 28.05 22.0G 13LY35 F51 C~2jhD 2012 05 12.46133 15 59 29.109 -27 42 28.37 21.8G 13LY35 F51 C~2jhD 2012 06 12.35042 15 56 47.758 -27 34 04.52 22.2w 13LY35 F51 C~1w3u 2012 06 12.36437 15 56 47.675 -27 34 04.03 22.0w 13LY35 F51 C~1w3u 2012 06 12.37840 15 56 47.621 -27 34 03.85 22.1w 13LY35 F51 C~1w3u 2012 06 12.39240 15 56 47.525 -27 34 03.55 22.2w 13LY35 F51 C~1w3u 2013 04 16.53412 16 07 44.980 -27 54 38.68 22.1w 13LY35 F51 C~1w3u 2013 06 12.38336 16 03 00.322 -27 42 55.67 21.9w 13LY35 F51 C~1w3u 2013 06 12.40505 16 03 00.202 -27 42 55.15 22.3w 13LY35 F51 C~1w3u 2013 06 30.33578 16 01 37.967 -27 37 31.44 22.2w 13LY35 F51 C~1w3u 2013 06 30.33655 16 01 37.967 -27 37 31.05 14.2w 13LY35 F51 C~1w3u 2013 06 30.34964 16 01 37.916 -27 37 30.97 22.4w 13LY35 F51 C~1w3u 2013 06 30.35041 16 01 37.911 -27 37 31.04 21.8w 13LY35 F51 C~1w3u 2013 06 30.36355 16 01 37.855 -27 37 30.64 22.6w 13LY35 F51 C~1w3u 2013 06 30.36432 16 01 37.846 -27 37 30.60 22.3w 13LY35 F51 C~1w3u 2014 04 04.59581 16 14 40.001 -28 02 01.73 21.7G 13LY35 F51 C~2jhD 2014 06 04.37206 16 09 56.803 -27 52 57.28 21.9G 13LY35 F51 C~2jhD 2015 05 15.47666 16 18 00.820 -28 04 01.39 22.2G 13LY35 F51 C~2jhD 2015 05 18.48650 16 17 44.930 -28 03 26.87 22.4G 13LY35 F51 C~2jhD 2015 05 18.49760 16 17 44.872 -28 03 26.85 22.4G 13LY35 F51 C~2jhD 2015 05 18.50882 16 17 44.810 -28 03 26.58 22.4G 13LY35 F51 C~2jhD
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 0.05 0.00 0.11
2 0.9993 4945.31 -0.06 432.99 -0.08
3 0.9993 4944.31 -0.05 433.15 0.01
4 0.9994 4943.25 -0.09 433.15 -0.03
5 0.9994 4942.27 -0.07 433.15 -0.09
6 1.0020 4877.54 -0.24 437.12 0.01
7 1.1166 2608.14 0.32 744.99 -0.12
8 1.9303 11701.91 0.17 824.13 -0.15
9 1.9304 11701.13 0.09 823.65 -0.62
10 2.0149 9493.95 0.15 895.31 0.03
11 2.0150 9492.77 -0.07 895.57 0.23
12 2.0150 9492.02 0.16 895.60 0.20
13 2.0150 9490.71 -0.19 895.64 0.17
14 2.8587 18336.84 -0.33 1332.25 0.13
15 3.0143 14470.90 0.05 1333.32 0.01
16 3.0144 14469.23 -0.10 1333.53 0.12
17 3.0635 13330.18 -0.01 1445.36 -0.19
18 3.0635 13330.10 -0.04 1445.74 0.19
19 3.0635 13329.42 0.04 1445.69 0.04
20 3.0635 13329.37 0.04 1445.61 -0.04
21 3.0636 13328.56 -0.01 1445.86 0.11
22 3.0636 13328.43 -0.09 1445.88 0.12
23 3.8253 23887.97 0.36 1839.28 0.12
24 3.9917 20054.42 0.05 1741.17 -0.03
25 4.9366 26571.07 0.17 2151.46 -0.05
26 4.9448 26354.41 -0.12 2152.33 -0.05
27 4.9448 26353.64 -0.08 2152.23 -0.15
28 4.9449 26352.77 -0.12 2152.37 -0.02
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.
13LY35 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.412 42.428 42.396 ecceobj 0.056 0.057 0.056 incobj 8.723 8.723 8.723 qmin 39.252 39.371 39.295 qmax 46.259 46.373 46.355 amean 42.720 42.735 42.704 amin 42.380 42.409 42.376 amax 43.077 43.093 43.057 emean 0.059 0.059 0.059 emin 0.043 0.043 0.042 emax 0.076 0.077 0.077 imean 10.331 10.331 10.328 imin 9.556 9.560 9.554 imax 11.086 11.078 11.092 excite_mean 0.189 0.189 0.189 fracstop 1.000 1.000 1.000 cjmean 3.044 3.044 3.044 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 175.4 175.4 175.0 kozaiamp 180.0 179.9 180.0