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: 22FA7
# Created Wed Dec 25 02:11:15 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 8.05y
# First observation: 2014/04/04
# Last observation: 2022/04/22
# Chi-squared of fit: 63.04 DOF: 42 RMS: 0.29
# Min/Max residuals: -0.65 0.86
# Exact a, adot, b, bdot, g, gdot:
1.159795E-05 1.429435E-02 -3.301823E-06 -3.818028E-03 1.946556E-02 -3.138297E-03
# Covariance matrix:
7.2419E-13 -1.9647E-13 -2.0769E-14 2.9598E-14 -3.7785E-14 -9.0629E-13
-1.9647E-13 3.1532E-13 5.7182E-14 -8.1941E-14 9.7607E-13 2.5105E-12
-2.0769E-14 5.7182E-14 6.5004E-13 -1.0147E-13 1.8536E-13 4.7460E-13
2.9598E-14 -8.1941E-14 -1.0147E-13 3.5031E-14 -2.6679E-13 -6.8014E-13
-3.7785E-14 9.7607E-13 1.8536E-13 -2.6679E-13 5.4273E-12 8.1776E-12
-9.0629E-13 2.5105E-12 4.7460E-13 -6.8014E-13 8.1776E-12 2.0838E-11
# lat0 lon0 xBary yBary zBary JD0
0.527345 -167.273301 -0.031016 0.009269 -0.998678 2456751.928147
# Heliocentric elements and errors
Epoch: 2456752.5000 = 2014/04/05
Mean Anomaly: 236.64131 +/- 0.113
Argument of Peri: 323.39587 +/- 0.069
Long of Asc Node: 14.69612 +/- 0.000
Inclination: 14.94825 +/- 0.000
Eccentricity: 0.28183181 +/- 0.0001
Semi-Major Axis: 43.69319682 +/- 0.0167
Time of Perihelion: 2492900.6786 +/- 51.8
Perihelion: 31.37906416 +/- 0.0132
Aphelion: 56.00732948 +/- 0.0222
Period (y) 288.8211 +/- 0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -51.07729172 +/- 0.0060
Ecliptic Y -11.56582687 +/- 0.0014
Ecliptic Z 0.47268288 +/- 0.0001
Ecliptic XDOT 0.00086310 +/- 0.0000
Ecliptic YDOT -0.00186822 +/- 0.0000
Ecliptic ZDOT -0.00054092 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 52.37265474 +/- 0.0059
Geocenter to KBO 51.37295694 +/- 0.0062
# Hcoef: 6.61
The following table shows the complete astrometric record for 22FA7. 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 (22FA7) followed by the observatory code and reference code for the source of the astrometry.
2014 04 04.427369 12 47 39.07 -04 32 29.7 22FA7 T09 C~79Ni 2014 04 04.440236 12 47 39.02 -04 32 29.5 22FA7 T09 C~79Ni 2019 05 05.015193 12 59 30.96 -07 00 18.5 23.6V 22FA7 W84 C~79Ni 2019 05 05.233578 12 59 30.20 -07 00 14.4 23.7V 22FA7 W84 C~79Ni 2021 04 05.15227 13 07 00.03 -08 14 52.4 22FA7 W93 C~67K5 2021 04 05.18715 13 06 59.83 -08 14 51.5 22FA7 W93 C~67K5 2021 04 12.10563 13 06 32.68 -08 12 22.3 22FA7 W93 C~5Y3c 2021 04 12.12663 13 06 32.57 -08 12 21.9 22FA7 W93 C~5Y3c 2021 04 12.14765 13 06 32.47 -08 12 21.4 23.6R 22FA7 W93 C~5Y3c 2021 04 12.16501 13 06 32.40 -08 12 21.2 23.4R 22FA7 W93 C~5Y3c 2021 04 14.09321 13 06 24.90 -08 11 39.2 22FA7 W93 C~5Y3c 2021 04 14.12832 13 06 24.73 -08 11 38.7 23.4R 22FA7 W93 C~5Y3c 2021 04 14.16905 13 06 24.55 -08 11 37.6 22.9R 22FA7 W93 C~5Y3c 2022 03 30.13076 13 10 16.31 -08 49 27.1 22FA7 W93 C~5Y3c 2022 03 30.16581 13 10 16.19 -08 49 26.7 23.5R 22FA7 W93 C~5Y3c 2022 03 30.20301 13 10 16.09 -08 49 26.7 23.2R 22FA7 W93 C~5Y3c 2022 04 01.13530 13 10 08.50 -08 48 45.5 23.1R 22FA7 W93 C~5Y3c 2022 04 01.16679 13 10 08.39 -08 48 44.8 23.2R 22FA7 W93 C~5Y3c 2022 04 01.19285 13 10 08.31 -08 48 44.6 23.0R 22FA7 W93 C~5Y3c 2022 04 07.15041 13 09 44.81 -08 46 37.7 22FA7 W93 C~67K5 2022 04 07.18712 13 09 44.71 -08 46 36.9 22FA7 W93 C~67K5 2022 04 22.09840 13 08 46.29 -08 41 16.2 22FA7 W93 C~67K5 2022 04 22.12125 13 08 46.20 -08 41 15.7 23.6R 22FA7 W93 C~67K5 2022 04 22.14253 13 08 46.13 -08 41 15.3 23.6R 22FA7 W93 C~67K5
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 0.02 0.00 0.04
2 0.0000 0.00 0.02 0.00 -0.04
3 5.0831 0.00 -0.23 0.00 -0.17
4 5.0837 0.00 -0.37 0.00 -0.20
5 7.0027 0.00 0.86 0.00 0.10
6 7.0028 0.00 -0.05 0.00 0.25
7 7.0217 0.00 0.49 0.00 0.13
8 7.0218 0.00 0.09 0.00 0.08
9 7.0218 0.00 -0.15 0.00 0.12
10 7.0219 0.00 -0.16 0.00 -0.05
11 7.0271 0.00 0.53 0.00 0.26
12 7.0272 0.00 0.06 0.00 0.01
13 7.0274 0.00 -0.21 0.00 0.23
14 7.9855 0.00 -0.48 0.00 0.45
15 7.9856 0.00 -0.20 0.00 0.13
16 7.9857 0.00 0.50 0.00 -0.65
17 7.9910 0.00 -0.38 0.00 0.10
18 7.9911 0.00 -0.15 0.00 0.14
19 7.9911 0.00 0.20 0.00 -0.21
20 8.0075 0.00 -0.62 0.00 -0.11
21 8.0076 0.00 0.09 0.00 -0.10
22 8.0484 0.00 0.04 0.00 -0.17
23 8.0484 0.00 0.02 0.00 -0.15
24 8.0485 0.00 0.22 0.00 -0.21
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.
22FA7 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 43.457 43.456 43.457 ecceobj 0.288 0.288 0.288 incobj 15.023 15.023 15.023 qmin 30.431 30.295 30.628 qmax 57.628 57.824 57.509 amean 43.726 43.725 43.725 amin 43.292 43.263 43.244 amax 44.279 44.266 44.265 emean 0.248 0.247 0.243 emin 0.114 0.115 0.111 emax 0.303 0.306 0.300 imean 16.430 16.490 16.761 imin 13.701 13.755 14.523 imax 20.969 20.965 20.999 excite_mean 0.381 0.381 0.381 fracstop 1.000 1.000 1.000 cjmean 2.923 2.923 2.923 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 120.2 112.8 135.0 kozaiamp 180.0 180.0 180.0