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: 22HE1
# Created Fri May 3 01:18:54 2024
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 25
# Arc: 4.05y
# First observation: 2019/04/07
# Last observation: 2023/04/24
Preliminary a, adot, b, bdot, g, gdot:
0.000007 0.026257 -0.000002 0.000328 0.025732 0.000000
# Chi-squared of fit: 37.25 DOF: 42 RMS: 0.22
# Min/Max residuals: -0.52 0.46
# Exact a, adot, b, bdot, g, gdot:
1.664603E-05 2.626127E-02 -1.309711E-06 3.283398E-04 2.559914E-02 8.537418E-04
# Covariance matrix:
2.3838E-13 1.8834E-13 -6.3596E-17 1.2105E-15 2.1869E-12 8.7473E-13
1.8834E-13 1.0814E-12 -5.9673E-16 1.0959E-14 4.1762E-12 9.1843E-12
-6.3596E-17 -5.9673E-16 1.0411E-13 -3.0668E-14 -1.4635E-15 -5.8597E-15
1.2105E-15 1.0959E-14 -3.0668E-14 2.2024E-14 2.7510E-14 1.0712E-13
2.1869E-12 4.1762E-12 -1.4635E-15 2.7510E-14 3.6148E-11 2.0977E-11
8.7473E-13 9.1843E-12 -5.8597E-15 1.0712E-13 2.0977E-11 9.1383E-11
# lat0 lon0 xBary yBary zBary JD0
0.273939 -159.307094 0.076856 0.004812 -0.997220 2458580.595011
# Heliocentric elements and errors
Epoch: 2458580.5000 = 2019/04/07
Mean Anomaly: 19.64601 +/- 0.308
Argument of Peri: 357.63062 +/- 0.364
Long of Asc Node: 180.04542 +/- 0.009
Inclination: 0.76069 +/- 0.000
Eccentricity: 0.07732047 +/- 0.0006
Semi-Major Axis: 43.17351749 +/- 0.0419
Time of Perihelion: 2452925.9708 +/- 88.4
Perihelion: 39.83532103 +/- 0.0470
Aphelion: 46.51171395 +/- 0.0525
Period (y) 283.6837 +/- 0.41
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.50159818 +/- 0.0086
Ecliptic Y -14.09205991 +/- 0.0032
Ecliptic Z 0.18671115 +/- 0.0000
Ecliptic XDOT 0.00091551 +/- 0.0000
Ecliptic YDOT -0.00266067 +/- 0.0000
Ecliptic ZDOT 0.00003534 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.06233742 +/- 0.0081
Geocenter to KBO 39.06381716 +/- 0.0092
# Hcoef: 6.79
The following table shows the complete astrometric record for 22HE1. 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 (22HE1) followed by the observatory code and reference code for the source of the astrometry.
2019 04 07.09421 13 16 52.34 -07 49 34.6 22.2R 22HE1 W93 C~5Zfx 2019 04 07.12192 13 16 52.19 -07 49 34.3 22.3R 22HE1 W93 C~5Zfx 2019 04 07.15000 13 16 52.07 -07 49 33.3 22.3R 22HE1 W93 C~5Zfx 2019 04 07.17762 13 16 51.92 -07 49 32.5 22.3R 22HE1 W93 C~5Zfx 2019 04 09.09228 13 16 42.93 -07 48 38.0 22HE1 W93 C~5Zfx 2019 04 09.12124 13 16 42.78 -07 48 36.9 22HE1 W93 C~5Zfx 2019 04 09.14931 13 16 42.66 -07 48 36.3 22HE1 W93 C~5Zfx 2019 04 11.09819 13 16 33.46 -07 47 40.3 22HE1 W93 C~5Zfx 2019 04 11.12607 13 16 33.29 -07 47 39.4 22HE1 W93 C~5Zfx 2019 04 11.18539 13 16 33.02 -07 47 37.9 22.7R 22HE1 W93 C~5Zfx 2019 04 15.08231 13 16 14.65 -07 45 46.3 22.1R 22HE1 W93 C~5Zfx 2019 04 15.11031 13 16 14.54 -07 45 45.5 21.8R 22HE1 W93 C~5Zfx 2019 04 15.13843 13 16 14.38 -07 45 44.2 21.7R 22HE1 W93 C~5Zfx 2019 04 15.16699 13 16 14.23 -07 45 43.7 22.1R 22HE1 W93 C~5Zfx 2022 04 22.06638 13 32 40.10 -09 19 30.0 23.3R 22HE1 W93 C~5Zfx 2022 04 22.10890 13 32 39.89 -09 19 29.1 22.6R 22HE1 W93 C~5Zfx 2022 04 22.13017 13 32 39.78 -09 19 28.9 22.9R 22HE1 W93 C~5Zfx 2022 04 22.14969 13 32 39.71 -09 19 28.0 22.8R 22HE1 W93 C~5Zfx 2022 04 24.06779 13 32 30.69 -09 18 35.8 22.5R 22HE1 W93 C~5Zfx 2022 04 24.08911 13 32 30.58 -09 18 34.8 22.7R 22HE1 W93 C~5Zfx 2022 04 24.11020 13 32 30.48 -09 18 34.4 22.1R 22HE1 W93 C~5Zfx 2022 04 24.13133 13 32 30.39 -09 18 33.8 22.4R 22HE1 W93 C~5Zfx 2023 04 24.188060 13 38 11.098 -09 50 13.70 22.7G 22HE1 G37 C~6hd9 2023 04 24.256350 13 38 10.742 -09 50 11.33 22HE1 G37 C~6hd9 2023 04 24.316190 13 38 10.459 -09 50 09.94 22HE1 G37 C~6hd9
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 0.31
2 0.0001 -2.18 -0.15 -0.56 -0.24
3 0.0002 -4.21 -0.02 -0.30 0.02
4 0.0002 -6.57 -0.27 -0.40 -0.06
5 0.0055 -150.86 0.31 -0.08 -0.19
6 0.0055 -153.34 0.05 0.11 0.00
7 0.0056 -155.22 0.32 -0.01 -0.10
8 0.0110 -302.96 0.26 0.52 0.01
9 0.0110 -305.64 -0.28 0.40 -0.09
10 0.0112 -309.92 -0.00 0.28 -0.20
11 0.0219 -604.87 0.01 1.08 -0.13
12 0.0219 -606.68 0.34 1.21 0.01
13 0.0220 -609.37 -0.20 1.52 0.33
14 0.0221 -611.63 -0.27 1.14 -0.04
15 3.0417 15082.26 ( -0.06) 204.95 ( 0.68)
16 3.0418 15079.02 -0.06 204.65 0.40
17 3.0419 15077.42 -0.03 204.24 -0.00
18 3.0419 15076.12 0.16 204.70 0.46
19 3.0472 14932.01 0.11 204.38 -0.04
20 3.0472 14930.12 -0.16 204.72 0.30
21 3.0473 14928.58 -0.09 204.55 0.14
22 3.0473 14927.12 0.05 204.62 0.22
23 4.0468 20352.07 0.35 271.49 -0.52
24 4.0470 20346.25 -0.24 271.79 -0.19
25 4.0472 20341.81 -0.10 271.57 -0.39
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.
22HE1 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.796 42.917 42.676 ecceobj 0.071 0.073 0.069 incobj 0.769 0.769 0.769 qmin 38.831 38.904 38.761 qmax 47.507 47.686 47.243 amean 43.044 43.164 42.922 amin 42.708 42.827 42.581 amax 43.407 43.525 43.286 emean 0.072 0.074 0.070 emin 0.052 0.055 0.049 emax 0.095 0.096 0.092 imean 2.388 2.348 2.434 imin 1.012 1.043 0.977 imax 3.232 3.151 3.317 excite_mean 0.084 0.085 0.083 fracstop 1.000 1.000 1.000 cjmean 3.082 3.083 3.080 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 173.1 164.6 173.0 kozaiamp 180.0 180.0 180.0