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: 13VC72 # Created Wed May 8 01:15:39 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 28 # Arc: 4.94y # First observation: 2013/10/04 # Last observation: 2018/09/11 Preliminary a, adot, b, bdot, g, gdot: -0.000316 0.040620 -0.000102 0.002560 0.033125 0.000000 # Chi-squared of fit: 10.74 DOF: 48 RMS: 0.11 # Min/Max residuals: -0.34 0.33 # Exact a, adot, b, bdot, g, gdot: 1.860718E-05 3.950778E-02 1.309755E-06 2.483095E-03 3.264548E-02 -5.897311E-03 # Covariance matrix: 2.5623E-13 -8.7559E-14 -5.3896E-15 -1.5555E-15 1.2227E-13 -2.0885E-13 -8.7559E-14 2.0826E-13 -1.0818E-14 1.4443E-14 1.0025E-13 1.1683E-12 -5.3896E-15 -1.0818E-14 1.5280E-13 -4.5361E-14 -1.7820E-14 -7.2042E-14 -1.5555E-15 1.4443E-14 -4.5361E-14 2.1143E-14 1.0383E-14 9.0729E-14 1.2227E-13 1.0025E-13 -1.7820E-14 1.0383E-14 2.7595E-13 7.1268E-13 -2.0885E-13 1.1683E-12 -7.2042E-14 9.0729E-14 7.1268E-13 7.2871E-12 # lat0 lon0 xBary yBary zBary JD0 -13.260587 29.539825 0.321317 -0.217193 -0.922101 2456569.706878 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 331.50774 +/- 0.008 Argument of Peri: 332.39733 +/- 0.014 Long of Asc Node: 103.56243 +/- 0.001 Inclination: 13.32635 +/- 0.000 Eccentricity: 0.25583189 +/- 0.0001 Semi-Major Axis: 39.61389305 +/- 0.0035 Time of Perihelion: 2463768.1570 +/- 1.8 Perihelion: 29.47939581 +/- 0.0039 Aphelion: 49.74839029 +/- 0.0053 Period (y) 249.3328 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.92166291 +/- 0.0004 Ecliptic Y 14.89027730 +/- 0.0002 Ecliptic Z -7.02639234 +/- 0.0001 Ecliptic XDOT -0.00201702 +/- 0.0000 Ecliptic YDOT 0.00266752 +/- 0.0000 Ecliptic ZDOT 0.00031628 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.55735225 +/- 0.0004 Geocenter to KBO 30.63211595 +/- 0.0005 # Hcoef: 8.60
The following table shows the complete astrometric record for 13VC72. 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 (13VC72) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.20610 02 08 27.721 -01 07 16.01 23.4g 13VC72 W84 C~55OI 2013 11 04.08027 02 05 28.59 -01 23 36.4 23.8r 13VC72 W84 C~55OI 2013 11 04.14330 02 05 28.21 -01 23 38.0 13VC72 W84 C~55OI 2013 11 04.22553 02 05 27.72 -01 23 40.1 13VC72 W84 C~55OI 2013 11 08.25167 02 05 04.217 -01 25 13.89 23.5r 13VC72 W84 C~55OI 2013 12 28.11269 02 01 35.305 -01 28 03.71 23.3r 13VC72 W84 C~55OI 2013 12 28.11407 02 01 35.291 -01 28 03.88 23.4i 13VC72 W84 C~55OI 2014 08 19.38618 02 19 24.801 +00 14 37.66 23.6i 13VC72 W84 C~55OI 2014 10 21.25060 02 15 13.622 -00 21 35.11 23.4r 13VC72 W84 C~55OI 2014 12 16.13208 02 10 19.822 -00 35 55.55 24.3g 13VC72 W84 C~55OI 2014 12 16.13344 02 10 19.825 -00 35 55.60 24.0r 13VC72 W84 C~55OI 2014 12 16.13617 02 10 19.824 -00 35 55.43 24.3g 13VC72 W84 C~55OI 2015 01 16.06359 02 09 26.843 -00 26 51.22 23.9r 13VC72 W84 C~55OI 2015 12 17.13357 02 18 36.347 +00 19 23.42 22.6r 13VC72 W84 C~55OI 2016 09 10.36303 02 35 25.483 +01 54 06.75 23.5r 13VC72 W84 C~55OI 2016 11 04.19864 02 30 45.680 +01 23 59.01 24.0g 13VC72 W84 C~55OI 2016 11 04.20001 02 30 45.662 +01 23 58.95 23.5r 13VC72 W84 C~55OI 2016 11 04.20137 02 30 45.649 +01 23 58.90 23.1i 13VC72 W84 C~55OI 2016 11 04.20274 02 30 45.625 +01 23 58.70 23.8g 13VC72 W84 C~55OI 2016 11 04.20412 02 30 45.640 +01 23 58.87 23.5r 13VC72 W84 C~55OI 2016 11 04.20551 02 30 45.618 +01 23 58.86 23.3i 13VC72 W84 C~55OI 2017 09 18.32668 02 43 34.338 +02 46 20.33 23.5i 13VC72 W84 C~55OI 2017 09 18.32804 02 43 34.332 +02 46 20.41 23.8r 13VC72 W84 C~55OI 2017 11 23.14743 02 37 31.071 +02 14 30.07 23.0i 13VC72 W84 C~55OI 2017 11 23.14883 02 37 31.048 +02 14 29.98 24.0g 13VC72 W84 C~55OI 2017 11 23.15019 02 37 31.037 +02 14 29.86 23.4r 13VC72 W84 C~55OI 2017 12 10.10460 02 36 01.896 +02 11 50.56 24.1g 13VC72 W84 C~55OI 2018 09 11.34547 02 52 38.113 +03 47 01.85 23.0i 13VC72 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 0.11 0.00 -0.02
2 0.0845 -2859.79 -0.01 9.66 0.06
3 0.0847 -2865.69 -0.07 10.13 0.03
4 0.0849 -2873.32 -0.06 10.70 -0.05
5 0.0959 -3236.52 0.02 44.59 0.11
6 0.2325 -6236.47 0.06 968.45 0.14
7 0.2325 -6236.73 -0.17 968.37 0.02
8 0.8739 10957.99 0.08 1196.60 -0.05
9 1.0460 6662.79 -0.07 462.87 0.04
10 1.1990 2228.48 -0.09 1182.16 -0.08
11 1.1990 2228.50 0.00 1182.10 -0.17
12 1.1990 2228.55 0.18 1182.26 -0.07
13 1.2837 1671.39 0.14 1968.01 -0.15
14 2.2010 10373.73 ( 0.22) 1717.08 ( 0.42)
15 2.9354 26678.31 0.03 1818.68 0.05
16 3.0855 22052.65 0.16 1568.58 0.02
17 3.0855 22052.37 0.01 1568.61 0.04
18 3.0855 22052.17 -0.06 1568.63 0.05
19 3.0855 22051.76 -0.34 1568.57 -0.02
20 3.0856 22052.03 0.07 1568.65 0.05
21 3.0856 22051.71 -0.11 1568.76 0.14
22 3.9565 34814.56 0.03 2244.72 -0.08
23 3.9565 34814.51 0.06 2244.83 0.04
24 4.1367 28907.67 0.08 2323.02 0.03
25 4.1367 28907.31 -0.16 2323.05 0.05
26 4.1367 28907.11 -0.24 2323.00 -0.03
27 4.1832 27573.70 0.33 2636.34 -0.19
28 4.9367 44040.65 0.01 2894.04 0.06
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.
13VC72 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.805 39.814 39.796 ecceobj 0.257 0.257 0.257 incobj 13.333 13.333 13.333 qmin 27.920 27.901 27.839 qmax 51.517 51.490 51.798 amean 39.455 39.455 39.455 amin 39.018 39.027 39.037 amax 39.955 39.947 39.995 emean 0.245 0.245 0.246 emin 0.192 0.191 0.191 emax 0.292 0.291 0.295 imean 11.863 11.870 11.840 imin 9.209 9.238 9.152 imax 14.854 14.858 14.863 excite_mean 0.322 0.322 0.322 fracstop 1.000 1.000 1.000 cjmean 2.934 2.934 2.934 libcent 0 179.1 180.2 180.3 libamp 0 70.9 71.4 70.3 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 264.7 264.9 264.3 kozaiamp 64.3 64.2 64.7