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: 13VE72 # Created Sat Apr 27 01:15:41 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 4.91y # First observation: 2013/10/13 # Last observation: 2018/09/09 Preliminary a, adot, b, bdot, g, gdot: 0.000201 0.033830 -0.000008 -0.002438 0.029551 0.000000 # Chi-squared of fit: 4.81 DOF: 32 RMS: 0.09 # Min/Max residuals: -0.22 0.22 # Exact a, adot, b, bdot, g, gdot: 1.844434E-05 3.478395E-02 -9.417367E-07 -2.488541E-03 3.002205E-02 6.722643E-03 # Covariance matrix: 2.4250E-13 -1.3816E-13 -2.9252E-15 5.3851E-15 -4.7687E-15 -5.1974E-13 -1.3816E-13 3.3072E-13 4.2581E-16 -2.1692E-14 3.3024E-13 1.9887E-12 -2.9252E-15 4.2581E-16 1.9907E-13 -5.3818E-14 -1.1273E-14 -9.8529E-16 5.3851E-15 -2.1692E-14 -5.3818E-14 2.5965E-14 -2.5828E-14 -1.4161E-13 -4.7687E-15 3.3024E-13 -1.1273E-14 -2.5828E-14 7.1583E-13 2.2591E-12 -5.1974E-13 1.9887E-12 -9.8529E-16 -1.4161E-13 2.2591E-12 1.2948E-11 # lat0 lon0 xBary yBary zBary JD0 -13.280429 15.045124 -0.080448 -0.228258 -0.967597 2456578.684578 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 30.15277 +/- 0.010 Argument of Peri: 199.55233 +/- 0.022 Long of Asc Node: 123.22749 +/- 0.001 Inclination: 13.54153 +/- 0.000 Eccentricity: 0.28316245 +/- 0.0001 Semi-Major Axis: 43.63367854 +/- 0.0048 Time of Perihelion: 2447752.7873 +/- 2.6 Perihelion: 31.27825933 +/- 0.0050 Aphelion: 55.98909775 +/- 0.0071 Period (y) 288.2312 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.24537843 +/- 0.0009 Ecliptic Y 8.75384775 +/- 0.0002 Ecliptic Z -7.65168717 +/- 0.0002 Ecliptic XDOT -0.00030371 +/- 0.0000 Ecliptic YDOT 0.00320328 +/- 0.0000 Ecliptic ZDOT -0.00036157 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.27743568 +/- 0.0008 Geocenter to KBO 33.30884776 +/- 0.0009 # Hcoef: 7.77
The following table shows the complete astrometric record for 13VE72. 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 (13VE72) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.18380 01 15 53.916 -06 19 50.74 22.9z 13VE72 W84 C~55OI 2013 10 13.18826 01 15 53.893 -06 19 50.82 22.4z 13VE72 W84 C~55OI 2013 11 03.04067 01 14 04.65 -06 29 12.0 13VE72 W84 C~55OI 2013 11 03.10486 01 14 04.33 -06 29 13.2 23.4r 13VE72 W84 C~55OI 2013 11 03.19580 01 14 03.88 -06 29 15.1 13VE72 W84 C~55OI 2014 08 18.34894 01 27 23.786 -05 06 31.45 22.8z 13VE72 W84 C~55OI 2014 10 02.23090 01 24 26.614 -05 35 08.72 22.8z 13VE72 W84 C~55OI 2014 10 30.21671 01 21 58.294 -05 49 37.98 23.1r 13VE72 W84 C~55OI 2014 12 12.06013 01 19 10.191 -05 55 34.26 22.9r 13VE72 W84 C~55OI 2016 11 07.14505 01 35 59.721 -04 37 12.04 23.0i 13VE72 W84 C~55OI 2016 11 25.07957 01 34 38.903 -04 41 10.65 23.6r 13VE72 W84 C~55OI 2016 11 26.14311 01 34 34.734 -04 41 17.34 23.1r 13VE72 W84 C~55OI 2016 12 07.09388 01 33 57.031 -04 41 35.63 22.7z 13VE72 W84 C~55OI 2016 12 07.09526 01 33 57.023 -04 41 35.61 22.8i 13VE72 W84 C~55OI 2017 09 25.36329 01 46 52.369 -03 37 59.39 23.7r 13VE72 W84 C~55OI 2017 10 30.20852 01 43 53.158 -03 56 46.27 22.7z 13VE72 W84 C~55OI 2018 09 09.28520 01 55 01.473 -02 50 53.71 23.3r 13VE72 W84 C~55OI 2018 09 09.28657 01 55 01.469 -02 50 53.76 23.1i 13VE72 W84 C~55OI 2018 09 09.28794 01 55 01.470 -02 50 53.80 24.4g 13VE72 W84 C~55OI
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 -0.03 0.00 -0.08
2 0.0000 -0.35 0.02 0.06 -0.02
3 0.0571 -1719.19 -0.09 111.11 -0.08
4 0.0573 -1724.06 -0.00 111.84 0.01
5 0.0575 -1730.98 0.09 112.67 -0.07
6 0.8464 11207.69 0.10 48.95 0.03
7 0.9693 8094.26 0.01 -498.92 -0.07
8 1.0459 5714.05 -0.17 -436.94 0.22
9 1.1632 3263.18 0.07 209.40 0.15
10 3.0690 19033.27 -0.08 -1365.88 -0.01
11 3.1181 17819.00 -0.04 -1107.81 0.03
12 3.1210 17758.63 0.04 -1089.33 0.05
13 3.1510 17229.44 0.08 -883.45 0.02
14 3.1510 17229.34 0.03 -883.39 0.06
15 3.9512 29552.87 -0.17 -1977.60 -0.22
16 4.0466 26589.57 0.08 -1944.99 -0.17
17 4.9065 37606.53 -0.02 -2313.75 0.06
18 4.9065 37606.45 -0.01 -2313.77 0.05
19 4.9065 37606.45 0.08 -2313.82 0.03
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.
13VE72 quality flag:2 Type: SCATNEAR SCATNEAR 7:4EEE axisobj 43.945 43.961 43.930 ecceobj 0.289 0.289 0.288 incobj 13.534 13.534 13.534 qmin 30.952 30.766 30.945 qmax 57.060 57.281 57.110 amean 43.726 43.726 43.726 amin 43.272 43.287 43.238 amax 44.267 44.254 44.286 emean 0.221 0.237 0.244 emin 0.114 0.085 0.154 emax 0.291 0.296 0.292 imean 15.788 14.765 14.763 imin 11.972 11.971 11.973 imax 19.266 19.567 18.564 excite_mean 0.355 0.354 0.356 fracstop 1.000 1.000 1.000 cjmean 2.946 2.947 2.946 libcent 0 -180.0 -180.0 178.7 libamp 0 -180.0 -180.0 117.8 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 197.1 236.9 242.1 kozaiamp 180.0 180.0 180.0