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: 12FH84
# Created Tue Apr 23 01:13:57 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 0.96y
# First observation: 2012/03/25
# Last observation: 2013/03/12
Preliminary a, adot, b, bdot, g, gdot:
-0.000035 0.010035 0.000004 -0.000602 0.014677 0.000000
# Chi-squared of fit: 33.58 DOF: 12 RMS: 0.34
# Min/Max residuals: -0.72 1.00
# Exact a, adot, b, bdot, g, gdot:
1.096612E-05 9.962704E-03 1.867829E-06 -6.022407E-04 1.490530E-02 1.334520E-03
# Covariance matrix:
7.3763E-13 1.7539E-12 2.1044E-14 -1.4893E-13 2.3352E-12 2.3649E-10
1.7539E-12 3.2095E-11 2.0936E-13 -1.8596E-12 2.2267E-11 2.9900E-09
2.1044E-14 2.0936E-13 3.2865E-13 -4.1156E-13 1.6976E-13 2.0862E-11
-1.4893E-13 -1.8596E-12 -4.1156E-13 1.0930E-12 -1.3925E-12 -1.8100E-10
2.3352E-12 2.2267E-11 1.6976E-13 -1.3925E-12 1.8350E-11 2.2299E-09
2.3649E-10 2.9900E-09 2.0862E-11 -1.8100E-10 2.2299E-09 2.9069E-07
# lat0 lon0 xBary yBary zBary JD0
1.137206 -176.650762 -0.025618 0.019875 -0.999854 2456011.659316
# Heliocentric elements and errors
Epoch: 2456010.5000 = 2012/03/24
Mean Anomaly: 140.86263 +/- 8.930
Argument of Peri: 6.66705 +/- 8.583
Long of Asc Node: 21.26975 +/- 0.028
Inclination: 3.64170 +/- 0.005
Eccentricity: 0.25320014 +/- 0.0172
Semi-Major Axis: 56.00262691 +/- 0.5189
Time of Perihelion: 2396113.6029 +/- 3704.6
Perihelion: 41.82275374 +/- 1.0367
Aphelion: 70.18250009 +/- 1.1608
Period (y) 419.1030 +/- 5.82
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -67.95639559 +/- 0.0192
Ecliptic Y -4.00181212 +/- 0.0011
Ecliptic Z 1.33162512 +/- 0.0004
Ecliptic XDOT -0.00014480 +/- 0.0001
Ecliptic YDOT -0.00183743 +/- 0.0000
Ecliptic ZDOT -0.00010563 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 68.08714583 +/- 0.0192
Geocenter to KBO 67.09023354 +/- 0.0193
# Hcoef: 7.34
The following table shows the complete astrometric record for 12FH84. 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 (12FH84) followed by the observatory code and reference code for the source of the astrometry.
2012 03 25.15855 12 14 06.025 -00 17 16.56 25.5R 12FH84 304 C~1u4h 2012 03 25.24236 12 14 05.784 -00 17 15.27 25.5R 12FH84 304 C~1u4h 2012 04 18.07430 12 12 58.949 -00 10 15.09 25.5R 12FH84 304 C~1u4h 2012 04 18.22606 12 12 58.576 -00 10 11.92 25.5R 12FH84 304 C~1u4h 2012 07 21.26309 12 11 57.858 -00 05 40.30 24.9R 12FH84 568 C~1u4h 2012 07 21.28020 12 11 57.894 -00 05 40.54 25.1R 12FH84 568 C~1u4h 2013 03 11.19334 12 16 49.019 -00 37 05.71 25.3R 12FH84 304 C~1u4h 2013 03 11.32902 12 16 48.659 -00 37 03.02 12FH84 304 C~1u4h 2013 03 12.26894 12 16 46.024 -00 36 46.02 12FH84 304 C~1u4h
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 -0.08 0.00 -0.52
2 0.0002 -3.83 0.12 -0.25 -0.72
3 0.0655 -1090.78 -0.08 -12.74 0.16
4 0.0659 -1097.17 0.04 -12.05 1.00
5 0.3234 -2040.97 -0.06 -124.46 0.11
6 0.3234 -2040.38 0.06 -124.46 0.13
7 0.9611 2716.17 -0.26 -120.64 -0.30
8 0.9615 2710.14 0.03 -120.32 0.07
9 0.9640 2667.11 0.23 -120.40 0.07
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.
12FH84 quality flag:2 Type: SCATNEAR SCATNEAR 5:2EEE Type: 5:2EII axisobj 55.897 58.423 55.224 ecceobj 0.255 0.325 0.234 incobj 3.647 3.645 3.648 qmin 41.363 39.143 42.194 qmax 71.796 79.269 69.522 amean 56.201 58.692 55.463 amin 55.593 58.045 54.852 amax 56.880 59.514 56.188 emean 0.251 0.321 0.225 emin 0.240 0.312 0.210 emax 0.262 0.332 0.238 imean 3.719 3.747 4.254 imin 3.504 3.493 3.856 imax 3.898 3.962 4.757 excite_mean 0.260 0.328 0.237 fracstop 1.000 1.000 1.000 cjmean 3.175 3.152 3.180 libcent 0 -180.0 -180.0 179.6 libamp 0 -180.0 -180.0 84.4 libcent 1 -180.0 -180.0 191.7 libamp 1 -180.0 -180.0 121.4 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 165.4 169.9 177.4 kozaiamp 180.0 179.9 180.0