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: 12DS85
# Created Sun Dec 22 02:09:19 2024
# Orbit generated from Bernstein formalism
# Fitting 87 observations of 87
# Arc: 0.80y
# First observation: 2012/02/19
# Last observation: 2012/12/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000178 0.089267 -0.000025 0.026560 0.058354 0.000000
# Chi-squared of fit: 177.57 DOF: 168 RMS: 0.25
# Min/Max residuals: -0.93 0.86
# Exact a, adot, b, bdot, g, gdot:
2.460523E-05 9.138491E-02 6.955307E-06 2.748867E-02 6.093421E-02 7.996079E-03
# Covariance matrix:
7.1675E-14 7.3016E-13 -1.4564E-14 2.2108E-13 3.8284E-13 1.0012E-11
7.3016E-13 7.4840E-11 -1.2016E-12 1.8088E-11 2.6249E-11 8.2229E-10
-1.4564E-14 -1.2016E-12 5.0300E-14 -3.4576E-13 -4.2909E-13 -1.3323E-11
2.2108E-13 1.8088E-11 -3.4576E-13 4.6280E-12 6.4654E-12 2.0064E-10
3.8284E-13 2.6249E-11 -4.2909E-13 6.4654E-12 9.5868E-12 2.9380E-10
1.0012E-11 8.2229E-10 -1.3323E-11 2.0064E-10 2.9380E-10 9.1196E-09
# lat0 lon0 xBary yBary zBary JD0
0.083770 128.017772 -0.371471 0.001348 -0.918041 2455976.813976
# Heliocentric elements and errors
Epoch: 2455970.5000 = 2012/02/13
Mean Anomaly: 44.79621 +/- 0.146
Argument of Peri: 303.10758 +/- 0.248
Long of Asc Node: 128.97170 +/- 0.000
Inclination: 16.77065 +/- 0.000
Eccentricity: 0.13505560 +/- 0.0009
Semi-Major Axis: 18.94719400 +/- 0.0038
Time of Perihelion: 2452222.0254 +/- 12.2
Perihelion: 16.38826926 +/- 0.0173
Aphelion: 21.50611874 +/- 0.0175
Period (y) 82.4756 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -10.96308486 +/- 0.0005
Ecliptic Y 13.42477107 +/- 0.0007
Ecliptic Z 0.02410785 +/- 0.0000
Ecliptic XDOT -0.00345965 +/- 0.0000
Ecliptic YDOT -0.00224310 +/- 0.0000
Ecliptic ZDOT 0.00123572 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 17.33246344 +/- 0.0006
Geocenter to KBO 16.41114310 +/- 0.0008
# Hcoef: 9.39
The following table shows the complete astrometric record for 12DS85. 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 (12DS85) followed by the observatory code and reference code for the source of the astrometry.
2012 02 19.31321 08 41 49.69 +18 20 37.6 22.0R 12DS85 290 C~0edx 2012 02 19.31769 08 41 49.65 +18 20 37.9 21.7R 12DS85 290 C~0edx 2012 02 19.32218 08 41 49.66 +18 20 38.7 21.9R 12DS85 290 C~0edx 2012 02 19.32667 08 41 49.59 +18 20 38.6 21.9R 12DS85 290 C~0edx 2012 02 19.33116 08 41 49.51 +18 20 38.8 21.8R 12DS85 290 C~0edx 2012 02 21.31192 08 41 29.78 +18 22 24.6 21.9R 12DS85 290 C~0edx 2012 02 21.31640 08 41 29.73 +18 22 24.9 21.7R 12DS85 290 C~0edx 2012 02 21.32089 08 41 29.71 +18 22 25.3 21.9R 12DS85 290 C~0edx 2012 02 21.32538 08 41 29.66 +18 22 25.6 21.8R 12DS85 290 C~0edx 2012 02 21.32987 08 41 29.61 +18 22 25.8 22.0R 12DS85 290 C~0edx 2012 02 22.34160 08 41 19.69 +18 23 19.6 21.5R 12DS85 290 C~0ewE 2012 02 22.35381 08 41 19.52 +18 23 20.1 21.5R 12DS85 290 C~0ewE 2012 02 22.36278 08 41 19.49 +18 23 20.6 21.6R 12DS85 290 C~0ewE 2012 02 24.30106 08 41 00.88 +18 25 01.5 21.7R 12DS85 290 C~0edx 2012 02 24.31005 08 41 00.78 +18 25 02.0 21.4R 12DS85 290 C~0edx 2012 02 24.31454 08 41 00.70 +18 25 02.6 21.6R 12DS85 290 C~0edx 2012 02 26.34992 08 40 41.71 +18 26 47.1 21.8R 12DS85 290 C~0edx 2012 02 26.35440 08 40 41.64 +18 26 47.4 21.9R 12DS85 290 C~0edx 2012 02 26.35889 08 40 41.61 +18 26 47.5 21.8R 12DS85 290 C~0edx 2012 02 26.36338 08 40 41.58 +18 26 47.3 21.8R 12DS85 290 C~0edx 2012 02 26.37011 08 40 41.52 +18 26 48.3 21.8R 12DS85 290 C~0edx 2012 02 26.37236 08 40 41.48 +18 26 48.3 21.7R 12DS85 290 C~0edx 2012 02 26.38134 08 40 41.40 +18 26 48.4 21.8R 12DS85 290 C~0edx 2012 02 27.35181 08 40 32.51 +18 27 37.4 21.8R 12DS85 290 C~0edx 2012 02 27.35628 08 40 32.48 +18 27 37.6 21.9R 12DS85 290 C~0edx 2012 02 27.36078 08 40 32.41 +18 27 37.9 21.9R 12DS85 290 C~0edx 2012 02 27.36751 08 40 32.38 +18 27 38.1 21.8R 12DS85 290 C~0edx 2012 02 27.37425 08 40 32.35 +18 27 38.6 21.8R 12DS85 290 C~0edx 2012 02 27.37873 08 40 32.31 +18 27 38.7 21.7R 12DS85 290 C~0edx 2012 02 27.38322 08 40 32.25 +18 27 39.0 21.9R 12DS85 290 C~0edx 2012 04 16.18120 08 36 52.48 +18 53 31.0 21.5R 12DS85 290 C~0gvj 2012 04 16.18689 08 36 52.49 +18 53 31.1 21.6R 12DS85 290 C~0gvj 2012 04 17.15737 08 36 53.43 +18 53 41.3 21.8R 12DS85 290 C~0gbK 2012 04 17.16186 08 36 53.44 +18 53 41.4 21.8R 12DS85 290 C~0gbK 2012 04 17.16411 08 36 53.44 +18 53 41.4 21.7R 12DS85 290 C~0gbK 2012 04 17.16635 08 36 53.44 +18 53 41.6 22.0R 12DS85 290 C~0gbK 2012 04 17.17084 08 36 53.45 +18 53 41.7 21.2R 12DS85 290 C~0gbK 2012 04 17.17532 08 36 53.45 +18 53 41.8 21.7R 12DS85 290 C~0gbK 2012 04 17.18206 08 36 53.46 +18 53 41.6 21.6R 12DS85 290 C~0gbK 2012 04 18.18089 08 36 54.67 +18 53 51.4 21.6R 12DS85 290 C~0gbK 2012 04 18.18312 08 36 54.69 +18 53 51.1 21.7R 12DS85 290 C~0gbK 2012 04 18.18762 08 36 54.69 +18 53 51.5 21.7R 12DS85 290 C~0gbK 2012 04 18.19884 08 36 54.71 +18 53 51.6 21.6R 12DS85 290 C~0gbK 2012 04 19.15193 08 36 56.06 +18 54 00.1 21.5R 12DS85 290 C~0gvj 2012 04 19.15642 08 36 56.10 +18 53 59.6 21.5R 12DS85 290 C~0gbK 2012 04 19.15867 08 36 56.11 +18 53 59.8 21.5R 12DS85 290 C~0gbK 2012 04 19.16541 08 36 56.15 +18 53 59.7 21.3R 12DS85 290 C~0gvj 2012 04 19.17437 08 36 56.18 +18 53 59.9 21.5R 12DS85 290 C~0gvj 2012 04 19.17887 08 36 56.17 +18 53 59.7 21.2R 12DS85 290 C~0gvj 2012 04 19.22808 08 36 56.20 +18 54 00.3 21.6R 12DS85 290 C~0gbK 2012 04 19.23706 08 36 56.21 +18 54 00.3 21.3R 12DS85 290 C~0gbK 2012 04 21.17528 08 36 59.72 +18 54 14.7 21.5R 12DS85 290 C~0gbK 2012 04 21.18287 08 36 59.73 +18 54 14.9 21.3R 12DS85 290 C~0gbK 2012 04 22.15168 08 37 01.85 +18 54 20.0 21.4R 12DS85 290 C~0gbK 2012 04 22.15547 08 37 01.86 +18 54 20.4 21.7R 12DS85 290 C~0gbK 2012 04 22.15926 08 37 01.87 +18 54 20.6 21.2R 12DS85 290 C~0gbK 2012 04 22.16685 08 37 01.88 +18 54 20.7 21.2R 12DS85 290 C~0gbK 2012 04 22.21964 08 37 02.00 +18 54 20.8 20.9R 12DS85 290 C~0gbK 2012 04 22.22342 08 37 02.01 +18 54 20.7 21.9R 12DS85 290 C~0gbK 2012 04 22.22723 08 37 02.02 +18 54 20.7 21.4R 12DS85 290 C~0gbK 2012 04 23.15677 08 37 04.25 +18 54 25.5 21.6R 12DS85 290 C~0gbK 2012 04 23.16057 08 37 04.24 +18 54 25.7 21.7R 12DS85 290 C~0gbK 2012 04 23.16435 08 37 04.26 +18 54 25.8 21.5R 12DS85 290 C~0gbK 2012 04 23.16815 08 37 04.31 +18 54 25.9 21.4R 12DS85 290 C~0gbK 2012 04 23.17194 08 37 04.31 +18 54 25.9 21.3R 12DS85 290 C~0gbK 2012 04 25.16338 08 37 09.72 +18 54 33.1 21.3R 12DS85 290 C~0gvj 2012 04 25.17097 08 37 09.76 +18 54 33.4 21.5R 12DS85 290 C~0gvj 2012 11 20.51012 09 15 46.56 +17 09 48.2 21.5R 12DS85 290 C~0mPN 2012 11 20.51203 09 15 46.56 +17 09 48.3 21.6R 12DS85 290 C~0mPN 2012 11 20.51968 09 15 46.56 +17 09 48.4 21.4R 12DS85 290 C~0mPN 2012 11 20.53306 09 15 46.57 +17 09 48.6 21.5R 12DS85 290 C~0mPN 2012 11 22.51573 09 15 47.12 +17 10 25.5 21.6R 12DS85 290 C~0mPN 2012 11 22.52145 09 15 47.11 +17 10 25.7 21.5R 12DS85 290 C~0mPN 2012 11 22.52336 09 15 47.10 +17 10 25.9 21.5R 12DS85 290 C~0mPN 2012 11 22.52718 09 15 47.10 +17 10 26.0 21.7R 12DS85 290 C~0mPN 2012 11 22.53673 09 15 47.09 +17 10 26.1 21.5R 12DS85 290 C~0mPN 2012 11 23.52395 09 15 47.02 +17 10 46.1 21.6R 12DS85 290 C~0mPN 2012 11 23.52586 09 15 47.01 +17 10 46.1 21.4R 12DS85 290 C~0mPN 2012 11 23.53159 09 15 47.01 +17 10 46.2 21.6R 12DS85 290 C~0mPN 2012 11 23.53539 09 15 47.00 +17 10 46.2 21.5R 12DS85 290 C~0mPN 2012 11 23.53731 09 15 47.00 +17 10 46.2 21.4R 12DS85 290 C~0mPN 2012 11 25.52810 09 15 46.13 +17 11 29.4 21.4R 12DS85 290 C~0mPN 2012 11 25.53001 09 15 46.12 +17 11 29.6 21.6R 12DS85 290 C~0mPN 2012 11 25.53573 09 15 46.11 +17 11 29.9 21.5R 12DS85 290 C~0mPN 2012 11 25.53764 09 15 46.11 +17 11 29.3 21.4R 12DS85 290 C~0mPN 2012 12 08.53579 09 15 17.85 +17 17 55.8 21.7R 12DS85 290 C~0mPN 2012 12 08.54151 09 15 17.83 +17 17 55.9 21.9R 12DS85 290 C~0mPN
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 -0.18 0.00 0.04
2 0.0000 -0.63 -0.12 0.14 0.12
3 0.0000 -0.70 0.51 0.95 0.86
4 0.0000 -1.63 0.27 0.60 0.44
5 0.0000 -2.79 -0.19 0.50 0.28
6 0.0055 -301.46 -0.15 30.28 -0.43
7 0.0055 -302.22 -0.24 30.39 -0.39
8 0.0055 -302.60 0.07 30.70 -0.14
9 0.0055 -303.36 -0.02 30.81 -0.10
10 0.0055 -304.10 -0.08 30.82 -0.16
11 0.0083 -454.40 -0.29 46.43 -0.06
12 0.0083 -456.87 -0.93 46.29 -0.38
13 0.0083 -457.41 -0.14 46.67 -0.13
14 0.0137 -739.33 0.15 76.04 -0.52
15 0.0137 -740.84 -0.04 76.16 -0.53
16 0.0137 -742.09 -0.63 76.44 -0.31
17 0.0193 -1030.11 0.24 108.04 0.23
18 0.0193 -1031.15 -0.16 108.07 0.20
19 0.0193 -1031.58 0.04 108.06 0.12
20 0.0193 -1031.95 0.31 107.76 -0.24
21 0.0193 -1033.03 0.18 108.50 0.41
22 0.0193 -1033.58 -0.05 108.36 0.23
23 0.0194 -1034.70 0.09 108.16 -0.09
24 0.0220 -1169.54 -0.05 123.08 0.00
25 0.0220 -1170.00 0.11 123.16 0.02
26 0.0220 -1171.04 -0.30 123.20 -0.00
27 0.0221 -1171.50 0.18 123.28 -0.02
28 0.0221 -1172.04 0.58 123.66 0.26
29 0.0221 -1172.62 0.62 123.61 0.15
30 0.0221 -1173.52 0.35 123.68 0.16
31 0.1557 -4588.97 -0.06 831.96 -0.02
32 0.1557 -4588.86 0.01 832.09 0.04
33 0.1584 -4578.51 -0.19 845.32 -0.07
34 0.1584 -4578.40 -0.12 845.45 0.01
35 0.1584 -4578.40 -0.15 845.45 -0.02
36 0.1584 -4578.45 -0.22 845.65 0.15
37 0.1584 -4578.33 -0.15 845.78 0.22
38 0.1584 -4578.36 -0.23 845.88 0.26
39 0.1584 -4578.17 -0.11 845.72 0.02
40 0.1612 -4564.01 -0.24 859.52 0.16
41 0.1612 -4563.66 0.08 859.31 -0.09
42 0.1612 -4563.76 -0.09 859.69 0.24
43 0.1612 -4563.51 0.00 859.86 0.27
44 0.1638 -4547.10 -0.61 872.91 0.26
45 0.1638 -4546.42 -0.01 872.57 -0.14
46 0.1638 -4546.34 0.04 872.80 0.07
47 0.1639 -4545.76 0.50 872.84 0.03
48 0.1639 -4545.40 0.71 873.14 0.21
49 0.1639 -4545.49 0.54 872.91 -0.07
50 0.1640 -4545.22 -0.07 873.60 -0.00
51 0.1641 -4545.09 -0.10 873.64 -0.08
52 0.1694 -4500.48 -0.29 900.11 -0.03
53 0.1694 -4500.39 -0.39 900.34 0.10
54 0.1720 -4472.55 0.16 912.85 -0.55
55 0.1721 -4472.51 0.09 913.27 -0.18
56 0.1721 -4472.42 0.07 913.50 0.00
57 0.1721 -4472.31 -0.03 913.63 0.04
58 0.1722 -4470.69 0.11 914.16 -0.09
59 0.1722 -4470.52 0.17 914.10 -0.20
60 0.1722 -4470.39 0.20 914.13 -0.21
61 0.1748 -4440.96 0.09 926.74 -0.25
62 0.1748 -4441.14 -0.22 926.90 -0.13
63 0.1748 -4440.89 -0.09 927.07 -0.01
64 0.1748 -4440.23 0.46 927.34 0.21
65 0.1748 -4440.23 0.34 927.34 0.17
66 0.1803 -4367.71 -0.28 953.64 -0.39
67 0.1803 -4367.24 -0.09 954.08 -0.05
68 0.7534 29319.07 -0.18 4099.96 -0.02
69 0.7535 29319.04 -0.21 4100.05 0.04
70 0.7535 29319.01 -0.23 4100.15 0.00
71 0.7535 29319.09 -0.14 4100.39 -0.01
72 0.7589 29315.45 0.32 4138.33 0.07
73 0.7590 29315.25 0.17 4138.48 0.11
74 0.7590 29315.05 -0.01 4138.63 0.23
75 0.7590 29315.02 -0.01 4138.73 0.25
76 0.7590 29314.85 -0.10 4138.78 0.13
77 0.7617 29307.75 0.17 4157.73 0.22
78 0.7617 29307.61 0.06 4157.69 0.14
79 0.7617 29307.58 0.10 4157.78 0.13
80 0.7617 29307.44 0.00 4157.74 0.02
81 0.7617 29307.44 0.02 4157.74 -0.02
82 0.7672 29282.07 0.31 4195.52 -0.27
83 0.7672 29281.87 0.15 4195.67 -0.16
84 0.7672 29281.64 0.02 4195.92 -0.02
85 0.7672 29281.82 0.24 4195.34 -0.63
86 0.8028 28769.64 -0.36 4443.68 -0.03
87 0.8028 28769.33 -0.30 4443.69 -0.12
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.
12DS85 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.030 19.105 18.956 ecceobj 0.138 0.143 0.133 incobj 16.765 16.765 16.765 qmin 16.315 13.803 16.427 qmax 21.948 24.523 21.485 amean 19.064 19.223 18.931 amin 18.807 18.714 18.911 amax 19.630 19.653 18.956 emean 0.125 0.204 0.131 emin 0.104 0.098 0.130 emax 0.143 0.266 0.133 imean 15.153 14.277 15.257 imin 14.547 11.316 15.186 imax 15.513 17.936 15.304 excite_mean 0.290 0.323 0.294 fracstop 0.002 0.090 0.000 cjmean 3.104 3.081 3.108 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 288.5 169.9 302.5 kozaiamp 19.7 179.6 1.8