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: 11UP412
# Created Wed Dec 25 02:09:13 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 25 observations of 25
# Arc: 7.45y
# First observation: 2011/08/29
# Last observation: 2019/02/08
# Chi-squared of fit: 9.99 DOF: 44 RMS: 0.11
# Min/Max residuals: -0.24 0.30
# Exact a, adot, b, bdot, g, gdot:
1.639443E-05 3.029302E-02 6.524776E-06 1.070634E-02 2.711383E-02 -2.037585E-03
# Covariance matrix:
1.9061E-13 -6.4864E-14 1.3139E-14 -2.7115E-14 9.9797E-14 -3.5859E-13
-6.4864E-14 2.5938E-13 -4.9996E-14 1.0133E-13 1.0696E-13 1.2441E-12
1.3139E-14 -4.9996E-14 9.0193E-14 -3.9221E-14 -1.7708E-14 -2.5922E-13
-2.7115E-14 1.0133E-13 -3.9221E-14 5.8149E-14 3.5320E-14 5.2597E-13
9.9797E-14 1.0696E-13 -1.7708E-14 3.5320E-14 1.8891E-13 4.0328E-13
-3.5859E-13 1.2441E-12 -2.5922E-13 5.2597E-13 4.0328E-13 6.4877E-12
# lat0 lon0 xBary yBary zBary JD0
2.662544 31.701359 0.836217 0.026028 -0.560360 2455803.024546
# Heliocentric elements and errors
Epoch: 2455802.5000 = 2011/08/29
Mean Anomaly: 351.50766 +/- 0.008
Argument of Peri: 26.53373 +/- 0.018
Long of Asc Node: 23.06493 +/- 0.000
Inclination: 19.68530 +/- 0.000
Eccentricity: 0.35151377 +/- 0.0001
Semi-Major Axis: 56.96189053 +/- 0.0056
Time of Perihelion: 2459506.7469 +/- 22.8
Perihelion: 36.93900145 +/- 0.0047
Aphelion: 76.98477960 +/- 0.0081
Period (y) 429.9172 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.26496552 +/- 0.0005
Ecliptic Y 18.94457071 +/- 0.0003
Ecliptic Z 1.71353708 +/- 0.0000
Ecliptic XDOT -0.00182815 +/- 0.0000
Ecliptic YDOT 0.00247350 +/- 0.0000
Ecliptic ZDOT 0.00107042 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.45484398 +/- 0.0005
Geocenter to KBO 36.88162180 +/- 0.0006
# Hcoef: 8.19
The following table shows the complete astrometric record for 11UP412. 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 (11UP412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.52378 01 54 21.019 +14 33 42.28 23.9r 11UP412 568 C~1CKy 2011 08 29.56781 01 54 20.887 +14 33 42.12 24.0r 11UP412 568 C~1CKy 2011 08 29.61470 01 54 20.750 +14 33 41.96 23.8r 11UP412 568 C~1CKy 2011 09 05.55403 01 54 00.378 +14 33 01.91 23.9r 11UP412 568 C~1CKy 2011 10 24.43329 01 50 14.624 +14 19 23.76 23.9r 11UP412 568 C~1CKy 2011 10 24.47598 01 50 14.391 +14 19 22.87 23.7r 11UP412 568 C~1CKy 2011 10 24.51878 01 50 14.160 +14 19 21.90 23.7r 11UP412 568 C~1CKy 2011 10 29.33738 01 49 48.531 +14 17 31.74 22.9r 11UP412 568 C~1CKy 2011 10 30.55522 01 49 42.060 +14 17 03.54 23.9r 11UP412 568 C~1CKy 2011 10 31.53810 01 49 36.882 +14 16 40.66 24.0r 11UP412 568 C~1CKy 2011 11 26.48700 01 47 31.426 +14 07 11.42 24.0r 11UP412 568 C~1CKy 2012 01 26.25193 01 46 01.469 +14 00 55.19 24.0r 11UP412 568 C~1CKy 2012 01 27.30909 01 46 03.255 +14 01 06.61 23.9r 11UP412 568 C~1CKy 2012 08 17.56862 02 00 36.870 +15 44 21.75 24.3r 11UP412 568 C~1CKy 2012 08 24.52636 02 00 24.394 +15 44 36.28 23.8r 11UP412 568 C~1CKy 2012 10 17.37393 01 56 44.090 +15 33 46.30 23.7r 11UP412 568 C~1CKy 2012 10 17.41666 01 56 43.861 +15 33 45.42 11UP412 568 C~1CKy 2012 10 20.46885 01 56 27.485 +15 32 39.61 23.8r 11UP412 568 C~1CKy 2012 10 20.51348 01 56 27.248 +15 32 38.58 23.6r 11UP412 568 C~1CKy 2013 02 02.26555 01 51 59.262 +15 12 42.49 24.1r 11UP412 568 C~1CKy 2013 02 03.26646 01 52 01.625 +15 12 55.77 24.3r 11UP412 568 C~1CKy 2013 02 06.28044 01 52 09.393 +15 13 39.14 23.8r 11UP412 568 C~1CKy 2013 02 06.28578 01 52 09.400 +15 13 39.34 23.9r 11UP412 568 C~1CKy 2019 02 08.110900 02 28 20.399 +22 07 00.32 24.1G 11UP412 G37 C~2zmc 2019 02 08.189600 02 28 20.566 +22 07 00.49 11UP412 G37 C~2zmc
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 0.27 0.00 0.04
2 0.0001 0.00 0.10 0.00 0.05
3 0.0002 0.00 -0.03 0.00 0.08
4 0.0192 0.00 0.06 0.00 -0.24
5 0.1531 0.00 -0.03 0.00 -0.13
6 0.1532 0.00 -0.05 0.00 -0.04
7 0.1533 0.00 -0.03 0.00 -0.03
8 0.1665 0.00 -0.02 0.00 0.30
9 0.1698 0.00 -0.10 0.00 0.21
10 0.1725 0.00 0.01 0.00 0.02
11 0.2436 0.00 -0.05 0.00 -0.17
12 0.4099 0.00 -0.08 0.00 -0.03
13 0.4128 0.00 -0.19 0.00 0.07
14 0.9693 0.00 -0.09 0.00 -0.06
15 0.9884 0.00 -0.11 0.00 -0.15
16 1.1358 0.00 0.03 0.00 -0.00
17 1.1359 0.00 0.08 0.00 0.02
18 1.1443 0.00 -0.20 0.00 -0.00
19 1.1444 0.00 -0.09 0.00 -0.05
20 1.4312 0.00 0.17 0.00 -0.10
21 1.4339 0.00 0.04 0.00 -0.04
22 1.4422 0.00 0.13 0.00 0.03
23 1.4422 0.00 0.02 0.00 0.15
24 7.4458 0.00 -0.07 0.00 0.04
25 7.4460 0.00 0.08 0.00 -0.02
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.
11UP412 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.123 57.123 57.124 ecceobj 0.353 0.353 0.353 incobj 19.668 19.668 19.668 qmin 35.623 35.747 35.549 qmax 78.305 78.202 78.451 amean 56.582 56.537 56.511 amin 55.950 55.846 55.886 amax 57.360 57.332 57.298 emean 0.348 0.347 0.352 emin 0.329 0.326 0.334 emax 0.366 0.366 0.370 imean 19.544 19.535 19.238 imin 18.578 18.680 18.550 imax 20.360 20.370 19.971 excite_mean 0.482 0.482 0.482 fracstop 1.000 1.000 1.000 cjmean 2.954 2.954 2.954 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 174.9 173.5 174.3 kozaiamp 179.9 180.0 180.0