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: 22GP4 # Created Wed Jul 17 01:11:53 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 3.06y # First observation: 2021/04/12 # Last observation: 2024/05/04 Preliminary a, adot, b, bdot, g, gdot: 0.000015 0.027752 -0.000014 -0.004567 0.027127 0.000000 # Chi-squared of fit: 18.15 DOF: 26 RMS: 0.19 # Min/Max residuals: -0.35 0.38 # Exact a, adot, b, bdot, g, gdot: 1.555321E-05 2.787609E-02 -3.817555E-06 -4.603796E-03 2.649831E-02 2.683313E-03 # Covariance matrix: 2.8105E-13 -3.3614E-13 -1.3255E-14 4.1160E-14 -1.9201E-13 -2.9877E-12 -3.3614E-13 1.5512E-12 1.2019E-13 -3.7730E-13 -4.3761E-12 2.7798E-11 -1.3255E-14 1.2019E-13 2.1302E-13 -1.2643E-13 -5.1507E-13 2.5455E-12 4.1160E-14 -3.7730E-13 -1.2643E-13 1.8548E-13 1.6277E-12 -8.0103E-12 -1.9201E-13 -4.3761E-12 -5.1507E-13 1.6277E-12 3.4806E-11 -1.2099E-10 -2.9877E-12 2.7798E-11 2.5455E-12 -8.0103E-12 -1.2099E-10 5.9205E-10 # lat0 lon0 xBary yBary zBary JD0 -1.216776 -161.675818 -0.059418 -0.021480 -1.005249 2459316.627431 # Heliocentric elements and errors Epoch: 2459310.5000 = 2021/04/06 Mean Anomaly: 32.00238 +/- 0.102 Argument of Peri: 144.16956 +/- 0.129 Long of Asc Node: 11.30104 +/- 0.001 Inclination: 9.47528 +/- 0.001 Eccentricity: 0.15321487 +/- 0.0013 Semi-Major Axis: 44.11103058 +/- 0.0582 Time of Perihelion: 2449797.9053 +/- 23.6 Perihelion: 37.35256496 +/- 0.0740 Aphelion: 50.86949620 +/- 0.0869 Period (y) 292.9740 +/- 0.58 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.74490001 +/- 0.0080 Ecliptic Y -12.24042322 +/- 0.0026 Ecliptic Z -0.80151924 +/- 0.0002 Ecliptic XDOT 0.00065804 +/- 0.0000 Ecliptic YDOT -0.00281143 +/- 0.0000 Ecliptic ZDOT -0.00048165 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.73832818 +/- 0.0076 Geocenter to KBO 37.73825782 +/- 0.0084 # Hcoef: 8.15
The following table shows the complete astrometric record for 22GP4. 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 (22GP4) followed by the observatory code and reference code for the source of the astrometry.
2021 04 12.12663 13 05 44.12 -08 18 32.7 22GP4 W93 C~5Y41 2021 04 12.14765 13 05 43.99 -08 18 31.9 22GP4 W93 C~5Y41 2021 04 12.16501 13 05 43.89 -08 18 31.9 24.0R 22GP4 W93 C~5Y41 2021 04 14.13705 13 05 34.22 -08 17 37.6 22GP4 W93 C~5Y41 2021 04 14.18322 13 05 34.01 -08 17 36.5 23.3R 22GP4 W93 C~5Y41 2022 04 07.12036 13 11 42.81 -09 11 46.2 22GP4 W93 C~5Y41 2022 04 07.15041 13 11 42.67 -09 11 45.2 23.7R 22GP4 W93 C~5Y41 2022 04 07.18712 13 11 42.51 -09 11 44.5 22GP4 W93 C~5Y41 2022 04 09.11455 13 11 33.00 -09 10 52.3 22GP4 W93 C~5Y41 2022 04 09.14262 13 11 32.83 -09 10 51.4 22GP4 W93 C~5Y41 2022 04 09.16693 13 11 32.68 -09 10 51.0 23.4R 22GP4 W93 C~5Y41 2023 04 24.229160 13 15 52.382 -09 54 26.08 24.0G 22GP4 G37 C~6hd9 2023 04 24.289060 13 15 52.098 -09 54 24.64 22GP4 G37 C~6hd9 2024 05 04.264930 13 20 33.676 -10 39 24.21 23.7G 22GP4 G37 C~82ny 2024 05 04.294340 13 20 33.540 -10 39 23.70 22GP4 G37 C~82ny 2024 05 04.326340 13 20 33.402 -10 39 22.76 22GP4 G37 C~82ny
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 0.22 0.00 0.22
2 0.0001 -2.09 -0.20 0.00 0.29
3 0.0001 -3.46 -0.20 -0.56 -0.23
4 0.0055 -156.85 -0.07 -5.15 0.04
5 0.0056 -160.15 0.27 -5.33 0.00
6 0.9856 6133.93 -0.16 -934.79 -0.18
7 0.9857 6131.63 -0.09 -934.65 0.06
8 0.9858 6129.17 0.36 -934.89 -0.07
9 0.9911 5978.93 0.38 -939.79 0.10
10 0.9911 5976.26 -0.07 -939.91 0.07
11 0.9912 5974.05 -0.35 -940.38 -0.32
12 2.0318 10525.35 -0.17 -1917.64 -0.09
13 2.0319 10520.91 -0.01 -1917.88 -0.19
14 3.0613 15404.32 -0.04 -2873.95 0.19
15 3.0614 15402.26 0.03 -2874.22 -0.03
16 3.0615 15400.01 0.10 -2874.10 0.13
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.
22GP4 quality flag:2 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 44.093 44.288 43.901 ecceobj 0.154 0.158 0.150 incobj 9.475 9.477 9.474 qmin 36.007 35.165 36.094 qmax 53.020 54.488 52.487 amean 44.316 44.560 44.101 amin 43.929 44.070 43.705 amax 44.777 45.134 44.540 emean 0.165 0.175 0.160 emin 0.145 0.144 0.140 emax 0.185 0.209 0.179 imean 9.061 9.239 9.048 imin 7.990 8.026 7.984 imax 10.072 10.573 10.084 excite_mean 0.229 0.238 0.224 fracstop 1.000 1.000 1.000 cjmean 3.042 3.039 3.042 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 186.8 180.1 183.3 kozaiamp 180.0 180.0 180.0