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: 10LQ68 # Created Fri Apr 26 01:13:21 2024 # Orbit generated from Bernstein formalism # Fitting 74 observations of 74 # Arc: 0.98y # First observation: 2010/06/11 # Last observation: 2011/06/04 Preliminary a, adot, b, bdot, g, gdot: -0.000007 0.027174 -0.000005 0.000811 0.025556 0.000000 # Chi-squared of fit: 155.85 DOF: 142 RMS: 0.26 # Min/Max residuals: -0.73 0.88 # Exact a, adot, b, bdot, g, gdot: 1.633707E-05 2.693668E-02 5.863809E-07 8.098209E-04 2.594897E-02 -5.364961E-03 # Covariance matrix: 4.2581E-14 1.4921E-12 -6.9738E-15 4.0067E-14 7.0958E-13 5.4545E-11 1.4921E-12 3.2574E-10 -1.3883E-12 8.5450E-12 1.4343E-10 1.1587E-08 -6.9738E-15 -1.3883E-12 3.3331E-14 -7.4914E-14 -6.1366E-13 -4.9420E-11 4.0067E-14 8.5450E-12 -7.4914E-14 4.2794E-13 3.7645E-12 3.0416E-10 7.0958E-13 1.4343E-10 -6.1366E-13 3.7645E-12 6.3352E-11 5.1057E-09 5.4545E-11 1.1587E-08 -4.9420E-11 3.0416E-10 5.1057E-09 4.1245E-07 # lat0 lon0 xBary yBary zBary JD0 -2.749956 -110.959815 -0.190162 -0.047846 -0.994999 2455358.763846 # Heliocentric elements and errors Epoch: 2455350.5000 = 2010/06/03 Mean Anomaly: 313.74123 +/- 0.931 Argument of Peri: 11.94574 +/- 2.411 Long of Asc Node: 306.29791 +/- 0.028 Inclination: 3.19612 +/- 0.001 Eccentricity: 0.22729341 +/- 0.0240 Semi-Major Axis: 45.08833091 +/- 0.5245 Time of Perihelion: 2469560.2451 +/- 142.3 Perihelion: 34.84005052 +/- 1.1573 Aphelion: 55.33661130 +/- 1.2607 Period (y) 302.7641 +/- 5.28 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -13.94344196 +/- 0.0042 Ecliptic Y -36.94625847 +/- 0.0110 Ecliptic Z -1.84884880 +/- 0.0006 Ecliptic XDOT 0.00285625 +/- 0.0000 Ecliptic YDOT -0.00048642 +/- 0.0001 Ecliptic ZDOT 0.00011247 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.53307262 +/- 0.0104 Geocenter to KBO 38.53717588 +/- 0.0118 # Hcoef: 7.54
The following table shows the complete astrometric record for 10LQ68. 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 (10LQ68) followed by the observatory code and reference code for the source of the astrometry.
2010 06 11.26308 16 27 30.20 -24 31 20.3 22.7R 10LQ68 568 C~0Ip4 2010 06 11.26412 16 27 30.20 -24 31 20.4 10LQ68 568 C~0Ip4 2010 06 11.26519 16 27 30.19 -24 31 20.6 10LQ68 568 C~0Ip4 2010 06 11.26623 16 27 30.19 -24 31 20.4 10LQ68 568 C~0Ip4 2010 06 11.26727 16 27 30.17 -24 31 20.2 10LQ68 568 C~0Ip4 2010 06 11.40732 16 27 29.39 -24 31 18.3 10LQ68 568 C~0Ip4 2010 06 11.40836 16 27 29.39 -24 31 18.3 10LQ68 568 C~0Ip4 2010 06 11.40942 16 27 29.38 -24 31 18.4 10LQ68 568 C~0Ip4 2010 06 11.41046 16 27 29.37 -24 31 18.3 10LQ68 568 C~0Ip4 2010 06 11.41148 16 27 29.38 -24 31 18.4 10LQ68 568 C~0Ip4 2010 06 11.44971 16 27 29.18 -24 31 17.8 10LQ68 568 C~0Ip4 2010 06 11.45074 16 27 29.17 -24 31 17.8 10LQ68 568 C~0Ip4 2010 06 11.45177 16 27 29.15 -24 31 17.8 10LQ68 568 C~0Ip4 2010 06 11.45280 16 27 29.15 -24 31 17.6 10LQ68 568 C~0Ip4 2010 06 11.45389 16 27 29.14 -24 31 17.7 10LQ68 568 C~0Ip4 2010 06 11.54909 16 27 28.72 -24 31 16.1 10LQ68 568 C~0Ip4 2010 06 11.55013 16 27 28.71 -24 31 16.0 10LQ68 568 C~0Ip4 2010 06 11.55116 16 27 28.68 -24 31 16.1 10LQ68 568 C~0Ip4 2010 06 11.55220 16 27 28.67 -24 31 15.9 10LQ68 568 C~0Ip4 2010 06 11.55324 16 27 28.67 -24 31 16.0 10LQ68 568 C~0Ip4 2010 06 12.26327 16 27 24.88 -24 31 07.7 23.8V 10LQ68 568 C~0Ip4 2010 06 12.26430 16 27 24.83 -24 31 07.8 10LQ68 568 C~0Ip4 2010 06 12.26533 16 27 24.81 -24 31 07.3 10LQ68 568 C~0Ip4 2010 06 12.26645 16 27 24.82 -24 31 07.7 10LQ68 568 C~0Ip4 2010 06 12.26748 16 27 24.84 -24 31 07.7 10LQ68 568 C~0Ip4 2010 06 12.43104 16 27 23.99 -24 31 05.0 10LQ68 568 C~0Ip4 2010 06 12.43207 16 27 23.96 -24 31 05.3 10LQ68 568 C~0Ip4 2010 06 12.43314 16 27 23.95 -24 31 05.3 10LQ68 568 C~0Ip4 2010 06 12.43418 16 27 23.96 -24 31 05.3 10LQ68 568 C~0Ip4 2010 06 12.43521 16 27 23.94 -24 31 05.3 10LQ68 568 C~0Ip4 2010 06 13.26147 16 27 19.56 -24 30 54.5 23.8V 10LQ68 568 C~0Ip4 2010 06 13.26258 16 27 19.57 -24 30 54.5 10LQ68 568 C~0Ip4 2010 06 13.26363 16 27 19.55 -24 30 54.6 10LQ68 568 C~0Ip4 2010 06 13.26466 16 27 19.55 -24 30 54.7 10LQ68 568 C~0Ip4 2010 06 13.26578 16 27 19.55 -24 30 54.6 10LQ68 568 C~0Ip4 2010 06 13.43345 16 27 18.68 -24 30 52.7 10LQ68 568 C~0Ip4 2010 06 13.43448 16 27 18.68 -24 30 52.6 10LQ68 568 C~0Ip4 2010 06 13.43552 16 27 18.66 -24 30 52.7 10LQ68 568 C~0Ip4 2010 06 13.43655 16 27 18.65 -24 30 52.8 10LQ68 568 C~0Ip4 2010 06 13.43758 16 27 18.66 -24 30 52.7 10LQ68 568 C~0Ip4 2010 06 13.52455 16 27 18.20 -24 30 51.8 10LQ68 568 C~0Ip4 2010 06 13.52661 16 27 18.15 -24 30 51.6 10LQ68 568 C~0Ip4 2010 06 13.52764 16 27 18.17 -24 30 51.7 10LQ68 568 C~0Ip4 2010 09 02.24005 16 23 55.17 -24 18 33.1 23.4R 10LQ68 568 C~0QjI 2010 09 02.24266 16 23 55.18 -24 18 32.6 10LQ68 568 C~0QjI 2010 09 02.24784 16 23 55.19 -24 18 33.0 10LQ68 568 C~0QjI 2010 09 02.25054 16 23 55.19 -24 18 32.9 10LQ68 568 C~0QjI 2010 09 02.25315 16 23 55.20 -24 18 33.0 10LQ68 568 C~0QjI 2010 09 02.25839 16 23 55.20 -24 18 32.9 10LQ68 568 C~0QjI 2010 09 02.26360 16 23 55.22 -24 18 33.1 10LQ68 568 C~0QjI 2010 09 03.22870 16 23 56.59 -24 18 31.5 10LQ68 568 C~0QjI 2010 09 03.23129 16 23 56.59 -24 18 31.6 10LQ68 568 C~0QjI 2010 09 03.23388 16 23 56.59 -24 18 31.7 10LQ68 568 C~0QjI 2010 09 03.23914 16 23 56.59 -24 18 31.5 10LQ68 568 C~0QjI 2010 09 03.24173 16 23 56.59 -24 18 31.5 10LQ68 568 C~0QjI 2010 09 03.24694 16 23 56.61 -24 18 31.6 10LQ68 568 C~0QjI 2010 09 03.24954 16 23 56.61 -24 18 31.6 10LQ68 568 C~0QjI 2010 09 03.25217 16 23 56.61 -24 18 31.5 10LQ68 568 C~0QjI 2010 09 04.23078 16 23 58.10 -24 18 30.3 10LQ68 568 C~0QjI 2010 09 04.23599 16 23 58.11 -24 18 30.3 10LQ68 568 C~0QjI 2010 09 04.23860 16 23 58.12 -24 18 30.4 10LQ68 568 C~0QjI 2010 09 04.24119 16 23 58.12 -24 18 30.4 10LQ68 568 C~0QjI 2010 09 04.24641 16 23 58.12 -24 18 30.4 10LQ68 568 C~0QjI 2010 09 04.24902 16 23 58.13 -24 18 30.3 10LQ68 568 C~0QjI 2010 09 04.25163 16 23 58.13 -24 18 30.4 10LQ68 568 C~0QjI 2011 06 03.50454 16 35 00.41 -24 44 08.2 23.1r 10LQ68 568 C~0Wc5 2011 06 03.50557 16 35 00.40 -24 44 08.2 10LQ68 568 C~0Wc5 2011 06 03.50660 16 35 00.40 -24 44 08.2 10LQ68 568 C~0Wc5 2011 06 03.50765 16 35 00.39 -24 44 08.2 10LQ68 568 C~0Wc5 2011 06 03.50868 16 35 00.38 -24 44 08.2 10LQ68 568 C~0Wc5 2011 06 04.28520 16 34 56.14 -24 43 59.2 10LQ68 568 C~0Wc5 2011 06 04.28727 16 34 56.13 -24 43 59.2 10LQ68 568 C~0Wc5 2011 06 04.28840 16 34 56.12 -24 43 59.2 10LQ68 568 C~0Wc5 2011 06 04.28948 16 34 56.11 -24 43 59.1 10LQ68 568 C~0Wc5
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 -0.02
2 0.0000 0.02 0.11 -0.10 -0.12
3 0.0000 -0.09 0.09 -0.32 -0.34
4 0.0000 -0.12 0.13 -0.12 -0.14
5 0.0000 -0.42 -0.09 0.03 0.01
6 0.0004 -11.23 -0.39 0.25 0.10
7 0.0004 -11.23 -0.31 0.25 0.10
8 0.0004 -11.35 -0.35 0.13 -0.02
9 0.0004 -11.50 -0.42 0.20 0.06
10 0.0004 -11.35 -0.19 0.13 -0.02
11 0.0005 -14.14 -0.11 0.29 0.10
12 0.0005 -14.27 -0.16 0.27 0.07
13 0.0005 -14.54 -0.36 0.23 0.03
14 0.0005 -14.58 -0.31 0.43 0.23
15 0.0005 -14.69 -0.35 0.31 0.11
16 0.0008 -20.61 0.88 0.99 0.65
17 0.0008 -20.76 0.80 1.07 0.73
18 0.0008 -21.15 0.49 0.90 0.56
19 0.0008 -21.31 0.40 1.08 0.74
20 0.0008 -21.30 0.50 0.98 0.64
21 0.0027 -73.68 0.13 1.08 -0.23
22 0.0027 -74.34 -0.45 0.88 -0.43
23 0.0027 -74.69 -0.73 1.33 0.02
24 0.0027 -74.49 -0.45 0.96 -0.36
25 0.0027 -74.22 -0.10 1.00 -0.32
26 0.0032 -86.10 0.25 1.85 0.37
27 0.0032 -86.46 -0.03 1.49 0.01
28 0.0032 -86.59 -0.08 1.47 -0.01
29 0.0032 -86.46 0.13 1.49 0.01
30 0.0032 -86.73 -0.06 1.45 -0.04
31 0.0055 -147.46 -0.34 2.75 0.07
32 0.0055 -147.32 -0.12 2.77 0.09
33 0.0055 -147.58 -0.30 2.63 -0.05
34 0.0055 -147.56 -0.21 2.53 -0.15
35 0.0055 -147.58 -0.14 2.63 -0.05
36 0.0059 -159.60 0.32 2.64 -0.22
37 0.0059 -159.62 0.38 2.74 -0.12
38 0.0059 -159.87 0.20 2.60 -0.26
39 0.0060 -159.99 0.16 2.48 -0.38
40 0.0060 -159.87 0.36 2.60 -0.26
41 0.0062 -166.21 0.48 2.51 -0.49
42 0.0062 -166.92 -0.07 2.60 -0.41
43 0.0062 -166.63 0.29 2.54 -0.46
44 0.2272 -3022.00 -0.17 288.66 -0.10
45 0.2272 -3021.95 -0.16 289.18 0.41
46 0.2272 -3021.75 -0.04 288.80 0.01
47 0.2272 -3021.77 -0.11 288.90 0.10
48 0.2272 -3021.62 0.00 288.83 0.01
49 0.2272 -3021.63 -0.10 288.92 0.08
50 0.2272 -3021.33 0.11 288.77 -0.10
51 0.2299 -3003.11 0.14 293.40 0.10
52 0.2299 -3003.09 0.11 293.30 -0.01
53 0.2299 -3003.08 0.08 293.20 -0.12
54 0.2299 -3003.11 -0.05 293.40 0.05
55 0.2299 -3003.11 -0.10 293.40 0.04
56 0.2299 -3002.82 0.09 293.34 -0.04
57 0.2299 -3002.82 0.04 293.34 -0.05
58 0.2299 -3002.84 -0.02 293.44 0.04
59 0.2326 -2982.93 -0.01 297.94 0.05
60 0.2326 -2982.80 0.02 297.96 0.05
61 0.2327 -2982.65 0.12 297.89 -0.04
62 0.2327 -2982.65 0.06 297.89 -0.06
63 0.2327 -2982.65 -0.04 297.89 -0.08
64 0.2327 -2982.53 0.03 298.01 0.03
65 0.2327 -2982.51 -0.01 297.91 -0.08
66 0.9781 6186.37 -0.03 159.56 0.02
67 0.9781 6186.24 -0.09 159.54 0.00
68 0.9781 6186.24 -0.01 159.54 0.00
69 0.9781 6186.10 -0.06 159.52 -0.02
70 0.9781 6185.97 -0.12 159.50 -0.04
71 0.9802 6127.46 0.10 160.15 0.00
72 0.9802 6127.32 0.12 160.13 -0.02
73 0.9802 6127.19 0.07 160.11 -0.04
74 0.9802 6127.04 0.01 160.19 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.
10LQ68 quality flag:1 Type: 11:6EEEEE CENTAURS CLASSICAL axisobj 44.750 46.454 43.635 ecceobj 0.225 0.293 0.160 incobj 3.201 3.203 3.198 qmin 34.333 29.620 35.495 qmax 56.389 63.393 52.868 amean 45.104 40.846 43.975 amin 44.654 34.490 43.579 amax 45.621 47.480 44.417 emean 0.224 0.214 0.160 emin 0.213 0.080 0.127 emax 0.237 0.343 0.191 imean 4.963 5.892 5.192 imin 4.209 3.551 3.408 imax 5.844 8.065 6.921 excite_mean 0.241 0.240 0.184 fracstop 1.000 1.000 1.000 cjmean 3.043 2.996 3.059 libcent 0 181.6 -180.0 -180.0 libamp 0 79.6 -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 163.2 173.7 177.7 kozaiamp 180.0 179.9 180.0