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: VNH0059
# Created Wed Apr 24 01:19:19 2024
# Orbit generated from Bernstein formalism
# Fitting 19 observations of 19
# Arc: 87.87d
# First observation: 2013/06/08
# Last observation: 2013/09/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000006 0.044865 -0.000011 -0.005234 0.028472 0.000000
# Chi-squared of fit: 1.21 DOF: 32 RMS: 0.04
# Min/Max residuals: -0.16 0.10
# Exact a, adot, b, bdot, g, gdot:
1.966501E-05 3.218428E-02 -3.354603E-06 -5.499237E-03 2.636606E-02 5.747113E-03
# Covariance matrix:
2.3570E-13 -3.5862E-12 5.9596E-15 -2.7068E-13 2.8649E-13 1.6354E-10
-3.5862E-12 4.4024E-08 -3.7652E-11 1.0776E-09 6.7592E-09 -3.1205E-07
5.9596E-15 -3.7652E-11 1.7615E-13 -1.7176E-12 -5.7542E-12 2.7253E-10
-2.7068E-13 1.0776E-09 -1.7176E-12 3.6221E-11 1.6391E-10 -7.9568E-09
2.8649E-13 6.7592E-09 -5.7542E-12 1.6391E-10 1.0436E-09 -4.6798E-08
1.6354E-10 -3.1205E-07 2.7253E-10 -7.9568E-09 -4.6798E-08 2.4375E-06
# lat0 lon0 xBary yBary zBary JD0
2.278743 -80.292766 0.386598 0.037465 -0.940574 2456451.680618
# Heliocentric elements and errors
Epoch: 2456450.5000 = 2013/06/07
Mean Anomaly: 6.10533 +/- 1.521
Argument of Peri: 140.75077 +/- 6.938
Long of Asc Node: 111.97473 +/- 0.083
Inclination: 9.91345 +/- 0.063
Eccentricity: 0.56773936 +/- 0.0215
Semi-Major Axis: 86.56510362 +/- 2.6000
Time of Perihelion: 2451461.4316 +/- 1222.6
Perihelion: 37.41868672 +/- 2.1765
Aphelion: 135.71152051 +/- 4.4821
Period (y) 805.4201 +/- 36.29
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.16873978 +/- 0.0078
Ecliptic Y -38.34531400 +/- 0.0458
Ecliptic Z 1.50794023 +/- 0.0019
Ecliptic XDOT 0.00339223 +/- 0.0000
Ecliptic YDOT -0.00004694 +/- 0.0002
Ecliptic ZDOT -0.00054672 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.86760013 +/- 0.0452
Geocenter to KBO 37.92754965 +/- 0.0465
# Hcoef: 12.43
The following table shows the complete astrometric record for VNH0059. 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 (VNH0059) followed by the observatory code and reference code for the source of the astrometry.
2013 06 08.17984 18 41 32.100 -20 48 40.77 27.8R VNH0059 304 2013 06 08.22941 18 41 31.861 -20 48 41.08 28.1R VNH0059 304 2013 06 08.26998 18 41 31.675 -20 48 41.37 27.4R VNH0059 304 2013 06 11.21626 18 41 17.491 -20 49 00.89 28.0R VNH0059 304 2013 06 11.27934 18 41 17.178 -20 49 01.31 27.9R VNH0059 304 2013 06 11.34902 18 41 16.832 -20 49 01.78 28.4R VNH0059 304 2013 06 13.21699 18 41 07.669 -20 49 14.62 28.1R VNH0059 304 2013 06 13.27759 18 41 07.364 -20 49 15.08 27.9R VNH0059 304 2013 07 02.16685 18 39 30.036 -20 51 39.09 27.4R VNH0059 304 2013 07 02.22574 18 39 29.717 -20 51 39.55 27.3R VNH0059 304 2013 07 02.27185 18 39 29.474 -20 51 39.89 27.2R VNH0059 304 2013 07 04.15763 18 39 19.593 -20 51 55.43 26.7R VNH0059 304 2013 07 04.19618 18 39 19.386 -20 51 55.75 27.2R VNH0059 304 2013 07 04.22278 18 39 19.242 -20 51 56.05 27.5R VNH0059 304 2013 08 28.07314 18 35 32.124 -20 59 46.22 28.6R VNH0059 304 2013 08 30.06767 18 35 27.865 -21 00 01.76 28.0R VNH0059 304 2013 09 01.05405 18 35 24.009 -21 00 17.05 29.0R VNH0059 304 2013 09 03.04605 18 35 20.532 -21 00 32.30 29.4R VNH0059 304 2013 09 04.05023 18 35 18.932 -21 00 39.89 29.8R VNH0059 304
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 -0.07 0.00 0.01
2 0.0001 -3.36 -0.06 -0.07 0.03
3 0.0002 -5.99 0.08 -0.17 -0.01
4 0.0083 -205.75 0.01 -5.41 0.01
5 0.0085 -210.16 0.02 -5.52 0.01
6 0.0087 -215.03 0.01 -5.64 0.00
7 0.0138 -344.09 0.02 -9.29 -0.03
8 0.0140 -348.39 0.02 -9.45 -0.07
9 0.0657 -1719.55 0.02 -57.79 -0.04
10 0.0658 -1724.05 -0.04 -57.94 -0.01
11 0.0660 -1727.47 0.00 -58.05 0.01
12 0.0711 -1866.71 0.02 -64.07 0.06
13 0.0712 -1869.63 0.00 -64.19 0.06
14 0.0713 -1871.66 -0.03 -64.35 -0.02
15 0.2215 -5078.53 0.04 -325.54 -0.16
16 0.2269 -5139.07 -0.02 -337.34 -0.01
17 0.2324 -5193.95 -0.02 -349.24 0.10
18 0.2378 -5243.52 -0.02 -361.44 0.04
19 0.2406 -5266.37 0.02 -367.63 0.01
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.
VNH0059 quality flag:1 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 86.340 101.315 81.890 ecceobj 0.567 0.656 0.530 incobj 9.903 10.084 9.838 qmin 36.517 33.647 37.571 qmax 143.827 187.787 131.254 amean 87.957 103.354 82.850 amin 86.108 99.273 81.422 amax 90.696 111.248 84.921 emean 0.572 0.663 0.535 emin 0.560 0.648 0.524 emax 0.587 0.688 0.547 imean 8.413 8.006 8.072 imin 7.674 6.719 7.556 imax 9.064 8.567 8.447 excite_mean 0.591 0.678 0.553 fracstop 1.000 1.000 1.000 cjmean 3.116 3.037 3.139 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 181.3 179.8 185.8 kozaiamp 179.9 97.8 179.9