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: 11US412
# Created Wed Dec 25 02:09:13 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 18 observations of 18
# Arc: 8.16y
# First observation: 2011/08/29
# Last observation: 2019/10/26
# Chi-squared of fit: 6.83 DOF: 30 RMS: 0.11
# Min/Max residuals: -0.23 0.29
# Exact a, adot, b, bdot, g, gdot:
1.383135E-05 1.999953E-02 3.657432E-07 8.071821E-04 2.169182E-02 -2.844645E-03
# Covariance matrix:
4.1548E-13 -8.2381E-14 2.1693E-16 -3.0539E-15 2.9010E-13 -3.8805E-13
-8.2381E-14 4.2814E-13 -8.7159E-15 1.9370E-14 1.4292E-13 2.6765E-12
2.1693E-16 -8.7159E-15 1.0545E-13 -1.8192E-14 -4.1808E-15 -5.6235E-14
-3.0539E-15 1.9370E-14 -1.8192E-14 1.3428E-14 6.6157E-15 1.2474E-13
2.9010E-13 1.4292E-13 -4.1808E-15 6.6157E-15 3.7409E-13 9.4943E-13
-3.8805E-13 2.6765E-12 -5.6235E-14 1.2474E-13 9.4943E-13 1.7239E-11
# lat0 lon0 xBary yBary zBary JD0
1.165404 32.332236 0.841705 0.011216 -0.552530 2455803.089696
# Heliocentric elements and errors
Epoch: 2455802.5000 = 2011/08/29
Mean Anomaly: 290.40812 +/- 0.021
Argument of Peri: 114.17548 +/- 0.033
Long of Asc Node: 5.03386 +/- 0.003
Inclination: 2.60050 +/- 0.000
Eccentricity: 0.16120086 +/- 0.0002
Semi-Major Axis: 48.19347673 +/- 0.0056
Time of Perihelion: 2479425.6004 +/- 18.7
Perihelion: 40.42464686 +/- 0.0110
Aphelion: 55.96230659 +/- 0.0119
Period (y) 334.5728 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.86540800 +/- 0.0011
Ecliptic Y 24.23623577 +/- 0.0007
Ecliptic Z 0.93765523 +/- 0.0000
Ecliptic XDOT -0.00165826 +/- 0.0000
Ecliptic YDOT 0.00194521 +/- 0.0000
Ecliptic ZDOT 0.00009462 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.66406645 +/- 0.0010
Geocenter to KBO 46.10044515 +/- 0.0013
# Hcoef: 7.73
The following table shows the complete astrometric record for 11US412. 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 (11US412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 29.58893 01 58 55.926 +13 22 37.48 23.7r 11US412 568 C~1CKy 2011 10 24.40763 01 55 40.018 +13 06 09.33 24.6r 11US412 568 C~1CKy 2011 10 24.45036 01 55 39.831 +13 06 08.40 24.3r 11US412 568 C~1CKy 2011 10 24.49308 01 55 39.648 +13 06 07.60 24.3r 11US412 568 C~1CKy 2011 10 26.42741 01 55 31.335 +13 05 23.38 24.1r 11US412 568 C~1CKy 2011 10 28.48438 01 55 22.507 +13 04 36.22 24.5r 11US412 568 C~1CKy 2011 10 30.52869 01 55 13.758 +13 03 49.53 23.9r 11US412 568 C~1CKy 2011 10 31.51164 01 55 09.577 +13 03 26.89 24.4r 11US412 568 C~1CKy 2011 11 24.27924 01 53 34.898 +12 54 49.34 24.5r 11US412 568 C~1CKy 2011 11 30.32546 01 53 14.211 +12 52 53.44 24.5r 11US412 568 C~1CKy 2012 01 27.33441 01 52 06.560 +12 45 44.43 24.1r 11US412 568 C~1CKy 2012 08 24.52210 02 03 27.082 +13 49 32.12 24.3r 11US412 568 C~1CKy 2012 10 17.36966 02 00 31.709 +13 35 17.22 24.5r 11US412 568 C~1CKy 2012 10 20.46455 02 00 18.433 +13 34 08.38 24.2r 11US412 568 C~1CKy 2013 01 14.33106 01 56 16.234 +13 11 39.84 24.8r 11US412 568 C~1CKy 2013 02 09.23506 01 56 47.115 +13 13 54.97 24.3r 11US412 568 C~1CKy 2019 10 26.383710 02 32 00.837 +16 34 55.53 24.3G 11US412 G37 C~3chz 2019 10 26.468730 02 32 00.459 +16 34 53.92 11US412 G37 C~3chz
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 0.13 0.00 0.10
2 0.1528 0.00 -0.02 0.00 -0.16
3 0.1529 0.00 -0.02 0.00 -0.12
4 0.1531 0.00 0.04 0.00 0.06
5 0.1584 0.00 -0.11 0.00 0.03
6 0.1640 0.00 -0.10 0.00 -0.05
7 0.1696 0.00 -0.12 0.00 0.07
8 0.1723 0.00 0.02 0.00 -0.09
9 0.2373 0.00 0.11 0.00 -0.07
10 0.2539 0.00 0.08 0.00 -0.10
11 0.4127 0.00 0.13 0.00 -0.14
12 0.9882 0.00 -0.17 0.00 0.02
13 1.1356 0.00 0.02 0.00 0.07
14 1.1441 0.00 0.14 0.00 0.07
15 1.3792 0.00 -0.23 0.00 0.05
16 1.4501 0.00 -0.02 0.00 0.29
17 8.1582 0.00 -0.04 0.00 -0.10
18 8.1585 0.00 0.08 0.00 0.04
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.
11US412 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 48.301 48.301 48.301 ecceobj 0.161 0.161 0.161 incobj 2.598 2.598 2.598 qmin 37.809 38.393 38.424 qmax 58.864 58.255 58.255 amean 48.011 47.727 48.015 amin 47.072 47.077 47.071 amax 48.598 48.594 48.596 emean 0.168 0.156 0.156 emin 0.138 0.119 0.119 emax 0.212 0.199 0.200 imean 3.491 3.448 3.522 imin 2.645 2.613 2.644 imax 4.188 4.167 4.263 excite_mean 0.179 0.168 0.168 fracstop 1.000 1.000 1.000 cjmean 3.111 3.113 3.116 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 181.3 179.3 183.4 kozaiamp 180.0 180.0 180.0