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: 10LP68 # Created Fri Apr 26 01:13:21 2024 # Orbit generated from Bernstein formalism # Fitting 32 observations of 32 # Arc: 0.98y # First observation: 2010/06/11 # Last observation: 2011/06/04 Preliminary a, adot, b, bdot, g, gdot: -0.000006 0.030448 -0.000008 0.005608 0.028391 0.000000 # Chi-squared of fit: 63.51 DOF: 58 RMS: 0.25 # Min/Max residuals: -0.62 0.84 # Exact a, adot, b, bdot, g, gdot: 1.458945E-05 3.036286E-02 4.512777E-06 5.608142E-03 2.896155E-02 5.773173E-04 # Covariance matrix: 7.5270E-14 3.0186E-13 -3.3406E-15 6.7281E-14 2.4024E-13 1.2269E-11 3.0186E-13 1.9248E-10 -1.3873E-12 3.3378E-11 8.3609E-11 6.0908E-09 -3.3406E-15 -1.3873E-12 7.3580E-14 -3.1658E-13 -6.0795E-13 -4.3995E-11 6.7281E-14 3.3378E-11 -3.1658E-13 6.1312E-12 1.4536E-11 1.0581E-09 2.4024E-13 8.3609E-11 -6.0795E-13 1.4536E-11 3.6907E-11 2.6525E-09 1.2269E-11 6.0908E-09 -4.3995E-11 1.0581E-09 2.6525E-09 1.9308E-07 # lat0 lon0 xBary yBary zBary JD0 -2.511508 -111.091113 -0.192444 -0.043686 -0.994752 2455358.763846 # Heliocentric elements and errors Epoch: 2455350.5000 = 2010/06/03 Mean Anomaly: 43.41918 +/- 16.517 Argument of Peri: 300.78248 +/- 18.118 Long of Asc Node: 262.19832 +/- 0.001 Inclination: 10.75285 +/- 0.001 Eccentricity: 0.03164317 +/- 0.0106 Semi-Major Axis: 36.34117083 +/- 0.0220 Time of Perihelion: 2445699.4193 +/- 3671.4 Perihelion: 35.19122103 +/- 0.3844 Aphelion: 37.49112064 +/- 0.3845 Period (y) 219.0819 +/- 0.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -12.58741716 +/- 0.0026 Ecliptic Y -33.18493848 +/- 0.0068 Ecliptic Z -1.51284592 +/- 0.0003 Ecliptic XDOT 0.00265151 +/- 0.0000 Ecliptic YDOT -0.00109938 +/- 0.0000 Ecliptic ZDOT 0.00052722 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.52424405 +/- 0.0064 Geocenter to KBO 34.52854070 +/- 0.0072 # Hcoef: 9.04
The following table shows the complete astrometric record for 10LP68. 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 (10LP68) followed by the observatory code and reference code for the source of the astrometry.
2010 06 11.26308 16 27 05.91 -24 15 58.5 24.2R 10LP68 568 C~0Ip4 2010 06 11.26412 16 27 05.90 -24 15 58.3 10LP68 568 C~0Ip4 2010 06 11.26519 16 27 05.89 -24 15 58.4 10LP68 568 C~0Ip4 2010 06 11.26623 16 27 05.90 -24 15 58.3 10LP68 568 C~0Ip4 2010 06 11.26727 16 27 05.88 -24 15 58.2 10LP68 568 C~0Ip4 2010 06 11.40732 16 27 05.00 -24 15 55.7 10LP68 568 C~0Ip4 2010 06 11.40835 16 27 04.99 -24 15 55.7 10LP68 568 C~0Ip4 2010 06 11.40942 16 27 04.98 -24 15 55.8 10LP68 568 C~0Ip4 2010 06 11.41045 16 27 04.98 -24 15 55.8 10LP68 568 C~0Ip4 2010 06 11.41148 16 27 04.98 -24 15 55.8 10LP68 568 C~0Ip4 2010 06 11.44971 16 27 04.77 -24 15 55.0 10LP68 568 C~0Ip4 2010 06 11.45074 16 27 04.75 -24 15 54.8 10LP68 568 C~0Ip4 2010 06 11.45177 16 27 04.73 -24 15 54.9 10LP68 568 C~0Ip4 2010 06 11.45280 16 27 04.74 -24 15 54.7 10LP68 568 C~0Ip4 2010 06 11.45389 16 27 04.72 -24 15 54.8 10LP68 568 C~0Ip4 2010 06 11.54909 16 27 04.24 -24 15 52.7 10LP68 568 C~0Ip4 2010 06 12.26533 16 26 59.94 -24 15 41.2 24.2V 10LP68 568 C~0Ip4 2010 06 12.43314 16 26 59.01 -24 15 38.5 10LP68 568 C~0Ip4 2010 06 13.26363 16 26 54.13 -24 15 24.1 24.2V 10LP68 568 C~0Ip4 2010 06 13.43552 16 26 53.11 -24 15 21.4 10LP68 568 C~0Ip4 2010 09 02.24527 16 23 11.72 -23 58 39.2 25.0R 10LP68 568 C~0QjI 2010 09 02.25839 16 23 11.75 -23 58 38.9 10LP68 568 C~0QjI 2010 09 03.23391 16 23 13.36 -23 58 35.6 10LP68 568 C~0QjI 2010 09 03.24695 16 23 13.36 -23 58 35.7 10LP68 568 C~0QjI 2010 09 04.23338 16 23 15.10 -23 58 32.3 10LP68 568 C~0QjI 2010 09 04.24641 16 23 15.11 -23 58 32.1 10LP68 568 C~0QjI 2011 06 03.49748 16 35 38.75 -24 14 39.3 24.4r 10LP68 568 C~0Wc5 2011 06 03.50023 16 35 38.73 -24 14 39.2 10LP68 568 C~0Wc5 2011 06 03.50231 16 35 38.73 -24 14 39.2 10LP68 568 C~0Wc5 2011 06 04.28097 16 35 34.06 -24 14 27.2 10LP68 568 C~0Wc5 2011 06 04.28201 16 35 34.03 -24 14 27.0 10LP68 568 C~0Wc5 2011 06 04.28305 16 35 34.02 -24 14 27.1 10LP68 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 0.41 0.00 -0.30
2 0.0000 -0.17 0.33 0.18 -0.13
3 0.0000 -0.29 0.30 0.06 -0.25
4 0.0000 -0.17 0.51 0.18 -0.13
5 0.0000 -0.45 0.31 0.23 -0.08
6 0.0004 -12.73 -0.26 0.81 -0.00
7 0.0004 -12.86 -0.31 0.79 -0.03
8 0.0004 -12.98 -0.34 0.67 -0.15
9 0.0004 -12.98 -0.26 0.67 -0.16
10 0.0004 -12.98 -0.17 0.67 -0.16
11 0.0005 -15.95 0.07 1.01 0.03
12 0.0005 -16.25 -0.15 1.16 0.18
13 0.0005 -16.50 -0.31 1.02 0.03
14 0.0005 -16.40 -0.12 1.24 0.25
15 0.0005 -16.65 -0.29 1.10 0.10
16 0.0008 -23.46 0.84 2.14 0.75
17 0.0027 -83.34 -0.62 4.26 -0.08
18 0.0032 -96.33 0.37 4.93 -0.03
19 0.0055 -164.50 -0.17 8.65 0.22
20 0.0059 -178.70 -0.13 9.12 0.04
21 0.2272 -3331.61 -0.12 511.44 -0.17
22 0.2272 -3331.25 -0.02 511.80 0.10
23 0.2299 -3310.02 0.22 518.67 -0.01
24 0.2299 -3310.00 -0.04 518.57 -0.20
25 0.2326 -3287.03 0.08 525.83 0.00
26 0.2327 -3286.92 -0.11 526.05 0.13
27 0.9781 6925.54 -0.12 1126.85 -0.11
28 0.9781 6925.25 -0.17 1126.91 -0.06
29 0.9781 6925.25 0.01 1126.91 -0.06
30 0.9802 6860.25 0.33 1129.72 0.04
31 0.9802 6859.82 -0.01 1129.86 0.17
32 0.9802 6859.69 -0.05 1129.74 0.05
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.
10LP68 quality flag:2 Type: SCATNEAR 4:3E SCATNEAR axisobj 36.122 36.275 36.074 ecceobj 0.028 0.065 0.016 incobj 10.778 10.777 10.780 qmin 33.881 32.383 31.477 qmax 39.428 40.649 41.878 amean 36.492 36.480 36.480 amin 36.114 36.178 35.976 amax 36.861 36.799 37.017 emean 0.036 0.079 0.102 emin 0.000 0.052 0.015 emax 0.071 0.108 0.136 imean 12.946 14.435 13.401 imin 10.106 11.693 9.161 imax 14.606 16.328 16.193 excite_mean 0.227 0.262 0.254 fracstop 1.000 1.000 1.000 cjmean 2.972 2.948 2.952 libcent 0 -180.0 178.7 -180.0 libamp 0 -180.0 58.7 -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 186.6 180.4 188.5 kozaiamp 180.0 180.0 180.0