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: 13VY71 # Created Thu Apr 25 01:15:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 15 observations of 15 # Arc: 5.01y # First observation: 2013/09/09 # Last observation: 2018/09/14 # Chi-squared of fit: 7.49 DOF: 24 RMS: 0.12 # Min/Max residuals: -0.25 0.26 # Exact a, adot, b, bdot, g, gdot: 1.894662E-05 3.528752E-02 2.660402E-06 4.029377E-03 3.058485E-02 -1.189137E-03 # Covariance matrix: 5.9046E-13 -9.7209E-14 -5.5825E-15 4.2089E-15 4.5446E-13 2.1031E-13 -9.7209E-14 3.1961E-13 -1.5690E-14 3.6234E-14 1.5928E-13 1.9095E-12 -5.5825E-15 -1.5690E-14 2.4605E-13 -6.6558E-14 -1.8725E-14 -1.1188E-13 4.2089E-15 3.6234E-14 -6.6558E-14 3.2706E-14 3.1240E-14 2.4757E-13 4.5446E-13 1.5928E-13 -1.8725E-14 3.1240E-14 7.3994E-13 1.6304E-12 2.1031E-13 1.9095E-12 -1.1188E-13 2.4757E-13 1.6304E-12 1.3032E-11 # lat0 lon0 xBary yBary zBary JD0 -8.703856 11.871577 0.432541 -0.137699 -0.900104 2456544.806828 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 345.17631 +/- 0.029 Argument of Peri: 327.28855 +/- 0.040 Long of Asc Node: 63.82547 +/- 0.001 Inclination: 10.60155 +/- 0.000 Eccentricity: 0.15647443 +/- 0.0001 Semi-Major Axis: 39.49206140 +/- 0.0053 Time of Perihelion: 2460277.1485 +/- 19.1 Perihelion: 33.31256373 +/- 0.0060 Aphelion: 45.67155906 +/- 0.0073 Period (y) 248.1835 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.60779629 +/- 0.0009 Ecliptic Y 6.41581801 +/- 0.0002 Ecliptic Z -4.94772202 +/- 0.0001 Ecliptic XDOT -0.00070556 +/- 0.0000 Ecliptic YDOT 0.00307968 +/- 0.0000 Ecliptic ZDOT 0.00037279 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.59930011 +/- 0.0009 Geocenter to KBO 32.69597970 +/- 0.0009 # Hcoef: 8.15
The following table shows the complete astrometric record for 13VY71. 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 (13VY71) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.30605 00 57 14.563 -03 19 20.22 24.1g 13VY71 W84 C~55OH 2013 10 02.28661 00 55 15.465 -03 32 30.07 24.0g 13VY71 W84 C~55OH 2013 11 05.03575 00 52 16.39 -03 47 27.0 23.7r 13VY71 W84 C~55OH 2013 11 05.07412 00 52 16.21 -03 47 27.6 13VY71 W84 C~55OH 2013 11 05.16850 00 52 15.75 -03 47 29.3 13VY71 W84 C~55OH 2014 11 15.02399 00 58 37.603 -02 50 08.28 22.5r 13VY71 W84 C~55OH 2014 11 16.15773 00 58 32.848 -02 50 22.60 23.1r 13VY71 W84 C~55OH 2016 08 25.39991 01 19 29.173 -00 10 44.95 23.3z 13VY71 W84 C~55OH 2016 11 05.18380 01 13 31.795 -00 46 55.10 23.2i 13VY71 W84 C~55OH 2016 11 05.18518 01 13 31.805 -00 46 55.03 23.5r 13VY71 W84 C~55OH 2017 08 22.41422 01 26 43.539 +00 51 03.06 23.3i 13VY71 W84 C~55OH 2017 08 28.38611 01 26 25.270 +00 48 22.28 23.4i 13VY71 W84 C~55OI 2017 09 14.33056 01 25 17.560 +00 39 47.92 22.6z 13VY71 W84 C~55OI 2018 09 14.35798 01 32 26.871 +01 40 43.00 23.6i 13VY71 W84 C~55OI 2018 09 14.35934 01 32 26.873 +01 40 42.55 23.3r 13VY71 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 -0.09 0.00 -0.17
2 0.0629 0.00 0.10 0.00 0.14
3 0.1553 0.00 -0.06 0.00 -0.11
4 0.1554 0.00 0.01 0.00 -0.02
5 0.1557 0.00 -0.09 0.00 -0.03
6 1.1820 0.00 0.26 0.00 0.24
7 1.1851 0.00 0.04 0.00 0.05
8 2.9599 0.00 -0.11 0.00 0.01
9 3.1564 0.00 -0.25 0.00 -0.07
10 3.1564 0.00 0.01 0.00 0.03
11 3.9510 0.00 0.11 0.00 0.14
12 3.9674 0.00 0.11 0.00 -0.04
13 4.0138 0.00 0.05 0.00 -0.12
14 5.0131 0.00 -0.06 0.00 0.20
15 5.0132 0.00 0.06 0.00 -0.21
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.
13VY71 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.707 39.707 39.707 ecceobj 0.160 0.160 0.160 incobj 10.603 10.603 10.603 qmin 32.753 32.753 32.753 qmax 46.782 46.781 46.784 amean 39.458 39.458 39.458 amin 38.968 38.967 38.969 amax 40.013 40.013 40.013 emean 0.151 0.151 0.151 emin 0.131 0.131 0.131 emax 0.170 0.170 0.170 imean 8.817 8.817 8.817 imin 8.117 8.117 8.117 imax 9.671 9.671 9.670 excite_mean 0.215 0.215 0.215 fracstop 1.000 1.000 1.000 cjmean 3.000 3.000 3.000 libcent 0 179.9 180.0 179.9 libamp 0 115.1 115.1 115.1 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 181.8 181.7 181.8 kozaiamp 180.0 180.0 180.0