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: 13VH72 # Created Tue Apr 1 01:09:55 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 4.86y # First observation: 2013/11/04 # Last observation: 2018/09/14 Preliminary a, adot, b, bdot, g, gdot: 0.000034 0.026694 0.000003 0.000411 0.025513 0.000000 # Chi-squared of fit: 3.14 DOF: 18 RMS: 0.09 # Min/Max residuals: -0.27 0.12 # Exact a, adot, b, bdot, g, gdot: 1.632593E-05 2.687877E-02 3.584225E-07 4.193620E-04 2.560474E-02 2.059643E-03 # Covariance matrix: 3.2540E-13 -2.6163E-13 1.4859E-15 -3.0195E-15 -5.1931E-14 -1.3948E-12 -2.6163E-13 4.7378E-13 -3.8112E-15 6.8131E-15 1.7265E-13 3.1658E-12 1.4859E-15 -3.8112E-15 2.3730E-13 -6.6425E-14 -1.1303E-14 -3.7619E-14 -3.0195E-15 6.8131E-15 -6.6425E-14 3.8717E-14 4.3536E-15 5.1232E-14 -5.1931E-14 1.7265E-13 -1.1303E-14 4.3536E-15 1.1833E-12 2.3825E-12 -1.3948E-12 3.1658E-12 -3.7619E-14 5.1232E-14 2.3825E-12 2.4169E-11 # lat0 lon0 xBary yBary zBary JD0 -9.859226 18.735389 -0.382567 -0.156361 -0.900404 2456600.540708 # Heliocentric elements and errors Epoch: 2456600.5000 = 2013/11/04 Mean Anomaly: 29.50301 +/- 0.049 Argument of Peri: 236.21260 +/- 0.071 Long of Asc Node: 103.62260 +/- 0.002 Inclination: 9.68091 +/- 0.000 Eccentricity: 0.14784706 +/- 0.0002 Semi-Major Axis: 45.51930231 +/- 0.0089 Time of Perihelion: 2447407.5345 +/- 15.0 Perihelion: 38.78940707 +/- 0.0107 Aphelion: 52.24919755 +/- 0.0127 Period (y) 307.1154 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.18132698 +/- 0.0015 Ecliptic Y 13.01804027 +/- 0.0005 Ecliptic Z -6.68738051 +/- 0.0003 Ecliptic XDOT -0.00071657 +/- 0.0000 Ecliptic YDOT 0.00279228 +/- 0.0000 Ecliptic ZDOT 0.00000661 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.95799678 +/- 0.0015 Geocenter to KBO 39.05527057 +/- 0.0017 # Hcoef: 7.72
The following table shows the complete astrometric record for 13VH72. 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 (13VH72) followed by the observatory code and reference code for the source of the astrometry.
2013 11 04.03993 01 24 03.81 -01 47 20.7 24.1r 13VH72 W84 C~55OI 2013 11 04.10439 01 24 03.51 -01 47 21.9 13VH72 W84 C~55OI 2013 11 04.20165 01 24 03.08 -01 47 23.8 13VH72 W84 C~55OI 2013 11 12.18159 01 23 29.158 -01 49 45.96 22.7z 13VH72 W84 C~55OI 2014 10 29.25005 01 30 10.640 -01 09 06.58 24.0r 13VH72 W84 C~55OI 2014 11 17.13835 01 28 49.077 -01 14 56.32 24.0r 13VH72 W84 C~55OI 2014 11 27.09938 01 28 12.807 -01 16 45.03 24.2r 13VH72 W84 C~55OI 2015 09 04.31243 01 39 42.411 -00 07 05.10 23.2i 13VH72 W84 C~55OI 2015 11 07.12881 01 35 09.084 -00 36 14.21 22.6r 13VH72 W84 C~55OI 2017 11 15.15429 01 45 40.897 +00 32 29.18 23.9r 13VH72 W84 C~55OI 2018 09 09.27821 01 56 02.042 +01 36 31.14 24.5g 13VH72 W84 C~55OI 2018 09 14.36510 01 55 45.431 +01 34 11.04 24.0r 13VH72 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 0.06 0.00 -0.02
2 0.0002 -4.62 -0.06 0.58 0.11
3 0.0004 -11.31 0.03 1.25 0.10
4 0.0223 -535.96 0.03 61.23 -0.14
5 0.9835 5961.29 0.07 49.69 0.01
6 1.0352 4695.74 -0.05 187.55 0.06
7 1.0624 4150.76 -0.07 292.15 -0.03
8 1.8324 15334.10 0.04 256.02 0.12
9 2.0071 10859.18 -0.10 185.59 -0.27
10 4.0304 21256.47 0.12 423.22 -0.05
11 4.8466 31499.72 -0.02 465.80 0.03
12 4.8606 31209.65 -0.04 429.51 0.08
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.
13VH72 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.837 45.865 45.809 ecceobj 0.154 0.155 0.154 incobj 9.684 9.684 9.684 qmin 38.208 37.993 38.187 qmax 53.258 53.352 53.277 amean 45.492 45.529 45.492 amin 45.096 45.142 45.091 amax 45.960 45.966 45.944 emean 0.147 0.148 0.147 emin 0.135 0.133 0.136 emax 0.159 0.162 0.160 imean 7.914 7.961 7.912 imin 7.455 7.369 7.454 imax 8.509 8.605 8.506 excite_mean 0.201 0.203 0.202 fracstop 1.000 1.000 1.000 cjmean 3.071 3.070 3.070 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 179.3 180.4 179.6 kozaiamp 180.0 180.0 180.0