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 Jan 21 02:09:28 2025
# Orbit generated from Bernstein formalism
# Fitting 17 observations of 18
# Arc: 4.03y
# First observation: 2012/03/25
# Last observation: 2016/04/04
Preliminary a, adot, b, bdot, g, gdot:
0.000057 0.009863 0.000002 -0.000596 0.014747 0.000000
# Chi-squared of fit: 18.94 DOF: 28 RMS: 0.19
# Min/Max residuals: -0.47 0.40
# Exact a, adot, b, bdot, g, gdot:
1.160414E-05 9.976101E-03 6.703389E-07 -6.015045E-04 1.491507E-02 2.599657E-03
# Covariance matrix:
5.8759E-13 -9.5408E-13 -1.4836E-14 5.5638E-14 3.2918E-13 -2.1844E-11
-9.5408E-13 2.5538E-12 4.6684E-14 -1.5952E-13 -3.9252E-13 6.2202E-11
-1.4836E-14 4.6684E-14 2.3560E-13 -6.5823E-14 8.0045E-16 1.1532E-12
5.5638E-14 -1.5952E-13 -6.5823E-14 3.6985E-14 2.1694E-14 -3.9283E-12
3.2918E-13 -3.9252E-13 8.0045E-16 2.1694E-14 1.0037E-12 -9.1948E-12
-2.1844E-11 6.2202E-11 1.1532E-12 -3.9283E-12 -9.1948E-12 1.5314E-09
# 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: 110.69496 +/- 0.625
Argument of Peri: 23.48899 +/- 0.464
Long of Asc Node: 21.32126 +/- 0.004
Inclination: 3.63137 +/- 0.001
Eccentricity: 0.30662583 +/- 0.0018
Semi-Major Axis: 57.84981917 +/- 0.0939
Time of Perihelion: 2406593.4552 +/- 251.6
Perihelion: 40.11157016 +/- 0.1239
Aphelion: 75.58806818 +/- 0.1618
Period (y) 440.0086 +/- 1.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -67.91251555 +/- 0.0045
Ecliptic Y -3.99928656 +/- 0.0002
Ecliptic Z 1.33067225 +/- 0.0001
Ecliptic XDOT -0.00037635 +/- 0.0000
Ecliptic YDOT -0.00185224 +/- 0.0000
Ecliptic ZDOT -0.00010082 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 68.04318298 +/- 0.0045
Geocenter to KBO 67.04627065 +/- 0.0045
# Hcoef: 7.12
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 2016 04 02.38313 12 21 48.62 -01 16 15.6 24.8i 12FH84 T09 C~89Mm 2016 04 02.40920 12 21 48.53 -01 16 15.1 24.6i 12FH84 T09 C~89Mm 2016 04 02.43645 12 21 48.46 -01 16 14.8 24.9i 12FH84 T09 C~89Mm 2016 04 02.46093 12 21 48.39 -01 16 14.1 24.7i 12FH84 T09 C~89Mm 2016 04 02.50710 12 21 48.26 -01 16 13.4 24.4i 12FH84 T09 C~89Mm 2016 04 02.51521 12 21 48.22 -01 16 13.1 24.5i 12FH84 T09 C~89Mm 2016 04 04.34027 12 21 43.03 -01 15 40.3 26.4g 12FH84 T09 C~89Mm 2016 04 04.38302 12 21 42.90 -01 15 39.7 26.4g 12FH84 T09 C~89Mm 2016 04 04.40648 12 21 42.84 -01 15 39.2 26.4g 12FH84 T09 C~89Mm
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 -0.21 0.00 -0.27
2 0.0002 -3.83 -0.01 -0.25 -0.47
3 0.0655 -1090.78 0.32 -12.74 0.40
4 0.0659 -1097.17 ( 0.45) -12.05 ( 1.24)
5 0.3234 -2040.97 -0.14 -124.46 0.31
6 0.3234 -2040.38 -0.02 -124.46 0.32
7 0.9611 2716.17 -0.23 -120.64 -0.35
8 0.9615 2710.14 0.06 -120.32 0.03
9 0.9640 2667.11 0.23 -120.40 0.03
10 4.0225 7776.67 0.10 -494.50 0.02
11 4.0226 7775.23 -0.11 -494.58 -0.04
12 4.0227 7774.14 0.10 -494.72 -0.16
13 4.0227 7772.90 0.01 -494.49 0.09
14 4.0229 7770.83 0.12 -494.62 -0.01
15 4.0229 7770.16 -0.16 -494.59 0.03
16 4.0279 7685.59 -0.04 -495.35 0.11
17 4.0280 7683.56 -0.06 -495.57 -0.08
18 4.0281 7682.53 0.02 -495.47 0.05
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:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.741 58.022 57.471 ecceobj 0.308 0.314 0.303 incobj 3.637 3.637 3.637 qmin 39.502 39.510 39.669 qmax 77.507 78.027 76.665 amean 58.049 58.312 57.736 amin 57.406 57.655 57.076 amax 58.868 59.094 58.498 emean 0.306 0.310 0.300 emin 0.295 0.301 0.289 emax 0.317 0.321 0.311 imean 3.750 3.736 3.739 imin 3.481 3.490 3.467 imax 4.066 3.943 4.008 excite_mean 0.313 0.317 0.307 fracstop 1.000 1.000 1.000 cjmean 3.157 3.156 3.157 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 172.5 169.2 174.7 kozaiamp 180.0 179.9 180.0