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: 07TJ422
# Created Fri Apr 19 01:13:00 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 30 observations of 30
# Arc: 7.15y
# First observation: 2007/09/05
# Last observation: 2014/10/29
# Chi-squared of fit: 53.83 DOF: 54 RMS: 0.24
# Min/Max residuals: -0.87 0.61
# Exact a, adot, b, bdot, g, gdot:
2.900160E-05 1.531662E-01 7.085221E-07 6.086117E-03 8.418472E-02 7.556505E-02
# Covariance matrix:
2.6072E-13 -3.0931E-14 2.2631E-15 -1.0669E-15 2.8353E-13 -4.4368E-14
-3.0931E-14 3.6897E-13 -3.8963E-15 1.5031E-14 1.7333E-13 4.3256E-13
2.2631E-15 -3.8963E-15 7.7574E-14 -1.5009E-14 1.4400E-15 -5.0078E-15
-1.0669E-15 1.5031E-14 -1.5009E-14 1.2792E-14 6.6804E-15 1.8275E-14
2.8353E-13 1.7333E-13 1.4400E-15 6.6804E-15 5.4936E-13 1.7043E-13
-4.4368E-14 4.3256E-13 -5.0078E-15 1.8275E-14 1.7043E-13 5.2779E-13
# lat0 lon0 xBary yBary zBary JD0
1.851765 -4.310858 0.229311 0.031769 -0.980836 2454348.803264
# Heliocentric elements and errors
Epoch: 2454348.5000 = 2007/09/05
Mean Anomaly: 26.43485 +/- 0.002
Argument of Peri: 316.82665 +/- 0.003
Long of Asc Node: 318.65014 +/- 0.001
Inclination: 2.90852 +/- 0.000
Eccentricity: 0.52781657 +/- 0.0000
Semi-Major Axis: 19.59012786 +/- 0.0011
Time of Perihelion: 2452022.9337 +/- 0.3
Perihelion: 9.25013373 +/- 0.0006
Aphelion: 29.93012200 +/- 0.0017
Period (y) 86.7090 +/- 0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.79931324 +/- 0.0001
Ecliptic Y -1.19932817 +/- 0.0000
Ecliptic Z 0.38387702 +/- 0.0000
Ecliptic XDOT 0.00282364 +/- 0.0000
Ecliptic YDOT 0.00478139 +/- 0.0000
Ecliptic ZDOT 0.00027714 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 12.86094975 +/- 0.0001
Geocenter to KBO 11.87850593 +/- 0.0001
# Hcoef: 11.10
The following table shows the complete astrometric record for 07TJ422. 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 (07TJ422) followed by the observatory code and reference code for the source of the astrometry.
2007 09 05.30251 23 41 14.15 -00 00 48.9 22.3 07TJ422 705 cx9534 2007 09 05.30583 23 41 14.10 -00 00 48.9 23.2 07TJ422 705 cx9534 2007 09 14.25953 23 39 19.64 -00 12 24.4 22.4 07TJ422 705 cx9534 2007 09 14.26285 23 39 19.62 -00 12 24.5 23.5 07TJ422 705 cx9534 2007 10 06.29636 23 34 42.06 -00 41 29.2 22.3 07TJ422 705 cx9534 2007 10 06.29719 23 34 42.06 -00 41 29.1 22.9 07TJ422 705 cx9534 2007 10 12.30336 23 33 33.71 -00 48 52.3 22.5 07TJ422 705 cx9534 2007 10 12.30668 23 33 33.67 -00 48 52.5 23.6 07TJ422 705 cx9534 2007 10 15.30186 23 33 01.58 -00 52 22.7 22.3 07TJ422 705 cx9534 2007 10 15.30269 23 33 01.58 -00 52 22.7 23.0 07TJ422 705 cx9534 2007 10 20.28716 23 32 11.62 -00 57 53.5 22.6 07TJ422 705 cx9534 2007 10 20.28799 23 32 11.62 -00 57 53.6 23.7 07TJ422 705 cx9534 2007 11 04.20881 23 30 12.67 -01 11 26.7 22.7 07TJ422 705 cx9534 2007 11 04.21213 23 30 12.66 -01 11 26.9 23.6 07TJ422 705 cx9534 2007 11 07.16674 23 29 55.31 -01 13 30.8 23.2 07TJ422 705 cx9534 2007 11 07.16757 23 29 55.32 -01 13 31.1 24.7 07TJ422 705 cx9534 2008 10 03.224190 00 04 56.15 +02 55 02.8 22.6V 07TJ422 645 C~1Sga 2008 10 03.225919 00 04 56.14 +02 55 02.8 22.0V 07TJ422 645 C~1Sga 2008 10 03.227507 00 04 56.11 +02 55 02.6 23.9V 07TJ422 645 C~1Sga 2008 12 01.07660 23 57 24.56 +02 02 21.1 23.1R 07TJ422 688 C~02eZ 2008 12 01.23865 23 57 24.32 +02 02 20.3 07TJ422 688 C~02eZ 2008 12 21.13656 23 57 57.38 +02 03 27.1 22.4r 07TJ422 695 C~02eZ 2008 12 21.18283 23 57 57.58 +02 03 28.0 22.3r 07TJ422 695 C~02eZ 2008 12 22.17873 23 58 02.04 +02 03 49.5 21.9r 07TJ422 695 C~02eZ 2009 09 17.35883 00 34 14.92 +06 18 44.8 23.1R 07TJ422 688 C~09cc 2009 09 17.44074 00 34 13.94 +06 18 39.4 07TJ422 688 C~09cc 2014 10 29.26371 02 03 11.80 +15 40 49.7 23.6R 07TJ422 G37 C~1eNK 2014 10 29.29089 02 03 11.52 +15 40 48.1 07TJ422 G37 C~1eNK 2014 10 29.36273 02 03 10.76 +15 40 44.3 07TJ422 G37 C~1eNK 2014 10 29.39139 02 03 10.46 +15 40 42.7 07TJ422 G37 C~1eNK
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 -0.08 0.00 0.06
2 0.0000 0.00 -0.19 0.00 0.31
3 0.0245 0.00 -0.13 0.00 -0.06
4 0.0245 0.00 0.23 0.00 0.10
5 0.0849 0.00 -0.14 0.00 -0.13
6 0.0849 0.00 0.01 0.00 0.04
7 0.1013 0.00 -0.07 0.00 -0.09
8 0.1013 0.00 -0.11 0.00 -0.06
9 0.1095 0.00 -0.14 0.00 0.01
10 0.1095 0.00 -0.01 0.00 0.07
11 0.1232 0.00 0.01 0.00 0.02
12 0.1232 0.00 0.13 0.00 -0.03
13 0.1640 0.00 -0.02 0.00 -0.08
14 0.1640 0.00 0.16 0.00 -0.14
15 0.1721 0.00 0.07 0.00 0.15
16 0.1721 0.00 0.29 0.00 -0.12
17 1.0785 0.00 0.21 0.00 -0.44
18 1.0785 0.00 0.38 0.00 -0.31
19 1.0785 0.00 0.22 0.00 -0.38
20 1.2396 0.00 -0.04 0.00 -0.87
21 1.2401 0.00 -0.58 0.00 0.61
22 1.2945 0.00 -0.09 0.00 0.31
23 1.2947 0.00 0.02 0.00 0.26
24 1.2974 0.00 0.10 0.00 0.21
25 2.0344 0.00 0.03 0.00 0.28
26 2.0346 0.00 -0.36 0.00 0.45
27 7.1484 0.00 -0.07 0.00 -0.02
28 7.1485 0.00 0.04 0.00 -0.13
29 7.1487 0.00 0.03 0.00 0.01
30 7.1488 0.00 0.07 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.
07TJ422 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.457 19.457 19.458 ecceobj 0.525 0.525 0.525 incobj 2.913 2.913 2.913 qmin 9.245 9.245 9.245 qmax 29.670 29.670 29.670 amean 19.458 19.457 19.458 amin 19.458 19.457 19.458 amax 19.458 19.457 19.458 emean 0.525 0.525 0.525 emin 0.525 0.525 0.525 emax 0.525 0.525 0.525 imean 4.342 4.342 4.342 imin 4.342 4.342 4.342 imax 4.342 4.342 4.342 excite_mean 0.530 0.530 0.530 fracstop 0.000 0.000 0.000 cjmean 2.911 2.911 2.911 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 316.7 316.7 316.7 kozaiamp 0.0 0.0 0.0