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: 531077
# Created Sun Apr 21 01:08:38 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 107 observations of 107
# Arc: 19.96y
# First observation: 2003/04/01
# Last observation: 2023/03/18
# Chi-squared of fit: 114.47 DOF: 208 RMS: 0.18
# Min/Max residuals: -0.61 0.64
# Exact a, adot, b, bdot, g, gdot:
1.680920E-05 2.760019E-02 -5.865836E-07 -3.103578E-03 2.709784E-02 5.058920E-03
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
7.467235 179.802671 -0.201303 0.127040 -0.969392 2452730.854846
# Heliocentric elements and errors
Epoch: 2452730.5000 = 2003/04/01
Mean Anomaly: 65.55252 +/- 0.000
Argument of Peri: 44.02378 +/- 0.000
Long of Asc Node: 48.44804 +/- 0.000
Inclination: 9.69544 +/- 0.000
Eccentricity: 0.19181853 +/- 0.0000
Semi-Major Axis: 39.68765367 +/- 0.0000
Time of Perihelion: 2436101.4100 +/- 0.0
Perihelion: 32.07482646 +/- 0.0000
Aphelion: 47.30048089 +/- 0.0000
Period (y) 250.0295 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.57047100 +/- 0.0000
Ecliptic Y -0.06815232 +/- 0.0000
Ecliptic Z 4.79593546 +/- 0.0000
Ecliptic XDOT -0.00056351 +/- 0.0000
Ecliptic YDOT -0.00279147 +/- 0.0000
Ecliptic ZDOT -0.00024430 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.87528689 +/- 0.0000
Geocenter to KBO 36.90323588 +/- 0.0000
# Hcoef: 6.30
The following table shows the complete astrometric record for 531077. 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 (531077) followed by the observatory code and reference code for the source of the astrometry.
2003 04 01.354103 12 11 12.95 +06 55 34.9 21.7V 531077 645 C~2VVI 2003 04 01.354933 12 11 12.95 +06 55 35.0 21.1V 531077 645 C~2VVI 2003 04 01.357420 12 11 12.95 +06 55 35.1 22.6V 531077 645 C~2VVI 2010 02 20.51063 12 51 19.065 +01 09 15.59 21.4r 531077 F51 C~1w3p 2010 08 05.25850 12 45 16.066 +01 29 06.37 22.3w 531077 F51 C~1w3p 2011 01 16.60179 12 57 23.677 +00 13 55.27 22.0G 531077 F51 C~2rXs 2011 03 10.57222 12 55 12.221 +00 32 40.30 22.4r 531077 F51 C~1w3p 2011 03 12.57825 12 55 03.483 +00 33 39.01 22.1i 531077 F51 C~1w3p 2011 03 12.59143 12 55 03.437 +00 33 39.66 22.0i 531077 F51 C~1w3p 2011 03 14.56732 12 54 54.705 +00 34 37.91 22.3r 531077 F51 C~1w3p 2011 03 15.56230 12 54 50.275 +00 35 07.15 21.9i 531077 F51 C~1w3q 2012 02 28.53448 13 00 52.480 -00 16 38.54 22.8w 531077 F51 C~1w3q 2012 02 28.54889 13 00 52.429 -00 16 38.25 22.9w 531077 F51 C~1w3q 2012 02 28.56333 13 00 52.372 -00 16 37.97 22.9w 531077 F51 C~1w3q 2012 04 12.34716 12 57 35.392 +00 04 06.46 22.3w 531077 F51 C~1w3q 2012 04 12.36107 12 57 35.326 +00 04 06.82 22.0w 531077 F51 C~1w3q 2012 04 12.37507 12 57 35.259 +00 04 07.17 22.0w 531077 F51 C~1w3q 2012 04 12.38905 12 57 35.181 +00 04 07.53 21.9w 531077 F51 C~1w3q 2012 04 15.48813 12 57 20.398 +00 05 28.70 21.9r 531077 F51 C~1w3q 2012 12 22.61467 13 06 38.196 -01 12 49.37 22.2w 531077 F51 C~1w3q 2012 12 22.61927 13 06 38.216 -01 12 49.53 22.2w 531077 F51 C~1w3q 2012 12 22.62389 13 06 38.211 -01 12 49.34 22.3w 531077 F51 C~1w3q 2012 12 22.62849 13 06 38.218 -01 12 49.53 22.2w 531077 F51 C~1w3q 2013 03 19.49368 13 04 27.816 -00 51 33.48 22.3w 531077 F51 C~1w3q 2013 03 19.50909 13 04 27.742 -00 51 33.01 22.1w 531077 F51 C~1w3q 2013 03 19.52451 13 04 27.655 -00 51 32.72 21.9w 531077 F51 C~1w3q 2013 03 19.53993 13 04 27.605 -00 51 32.24 21.9w 531077 F51 C~1w3q 2013 04 05.44400 13 03 07.990 -00 43 27.80 21.9r 531077 F51 C~1w3q 2013 04 11.37449 13 02 39.489 -00 40 45.03 22.2w 531077 F51 C~1w3q 2013 04 11.38815 13 02 39.422 -00 40 44.72 22.2w 531077 F51 C~1w3q 2013 04 11.40185 13 02 39.356 -00 40 44.11 22.0w 531077 F51 C~1w3q 2013 04 11.41561 13 02 39.288 -00 40 43.97 22.3w 531077 F51 C~1w3q 2013 04 20.46728 13 01 56.428 -00 36 50.94 21.8i 531077 F51 C~1w3q 2013 05 02.33024 13 01 03.397 -00 32 23.54 21.6r 531077 F51 C~1w3q 2014 04 24.34613 13 06 35.513 -01 19 17.06 22.2w 531077 F51 C~1w3q 2014 04 24.35736 13 06 35.436 -01 19 16.23 21.8w 531077 F51 C~1w3q 2014 04 24.37991 13 06 35.305 -01 19 16.23 22.1w 531077 F51 C~1w3q 2015 01 23.59912 13 16 43.592 -02 37 32.99 22.4G 531077 F51 C~2rXs 2015 01 23.61077 13 16 43.598 -02 37 32.98 22.5G 531077 F51 C~2rXs 2015 01 23.62239 13 16 43.584 -02 37 32.75 22.4G 531077 F51 C~2rXs 2015 01 23.63399 13 16 43.589 -02 37 32.59 22.0G 531077 F51 C~2rXs 2015 01 25.59142 13 16 42.667 -02 37 14.92 22.3G 531077 F51 C~2rXs 2015 01 25.60310 13 16 42.653 -02 37 15.00 22.7G 531077 F51 C~2rXs 2015 01 25.61464 13 16 42.644 -02 37 14.76 22.4G 531077 F51 C~2rXs 2015 01 25.62617 13 16 42.640 -02 37 14.61 22.5G 531077 F51 C~2rXs 2015 04 20.37987 13 11 48.648 -02 04 28.40 22.6G 531077 F51 C~2rXs 2015 04 20.39341 13 11 48.576 -02 04 28.35 22.1G 531077 F51 C~2rXs 2015 04 20.40692 13 11 48.494 -02 04 27.52 23.0G 531077 F51 C~2rXs 2015 04 20.42037 13 11 48.444 -02 04 27.69 21.9G 531077 F51 C~2rXs 2015 04 21.40290 13 11 43.868 -02 04 03.00 21.5G 531077 F51 C~2rXs 2015 04 21.41645 13 11 43.796 -02 04 02.65 21.9G 531077 F51 C~2rXs 2015 04 21.43001 13 11 43.709 -02 04 02.64 22.3G 531077 F51 C~2rXs 2015 05 24.30857 13 09 30.144 -01 53 44.12 22.2G 531077 F51 C~2rXs 2015 06 03.33462 13 09 01.597 -01 52 14.38 22.8G 531077 F51 C~2rXs 2015 08 08.25300 13 09 23.793 -02 05 18.59 22.6G 531077 F51 C~2rXs 2016 01 15.60319 13 21 27.632 -03 20 18.64 22.3G 531077 F51 C~2rXs 2016 02 04.62206 13 21 19.262 -03 17 32.54 22.7G 531077 F51 C~2rXs 2016 02 21.54265 13 20 43.835 -03 12 37.74 22.6G 531077 F51 C~2rXs 2016 03 10.45649 13 19 42.988 -03 05 33.44 22.1G 531077 F51 C~2rXs 2016 03 10.46832 13 19 42.927 -03 05 33.12 22.0G 531077 F51 C~2rXs 2016 03 10.48016 13 19 42.876 -03 05 32.85 22.1G 531077 F51 C~2rXs 2016 03 10.49199 13 19 42.827 -03 05 32.46 22.5G 531077 F51 C~2rXs 2016 03 11.51604 13 19 38.729 -03 05 05.69 22.7G 531077 F51 C~2rXs 2016 03 11.52728 13 19 38.726 -03 05 05.29 22.2G 531077 F51 C~2rXs 2016 04 01.41497 13 18 06.623 -02 55 36.00 22.0G 531077 F51 C~2rXs 2016 04 01.42836 13 18 06.556 -02 55 35.73 21.9G 531077 F51 C~2rXs 2016 04 01.44179 13 18 06.498 -02 55 35.25 21.9G 531077 F51 C~2rXs 2016 04 01.45528 13 18 06.429 -02 55 34.65 22.4G 531077 F51 C~2rXs 2016 04 09.38631 13 17 28.794 -02 51 58.49 22.0G 531077 F51 C~2rXs 2016 04 09.39822 13 17 28.736 -02 51 57.93 22.3G 531077 F51 C~2rXs 2016 04 09.41021 13 17 28.670 -02 51 57.59 22.2G 531077 F51 C~2rXs 2016 04 09.42215 13 17 28.605 -02 51 57.35 22.4G 531077 F51 C~2rXs 2016 04 09.47884 13 17 28.330 -02 51 55.65 21.7G 531077 F51 C~2rXs 2016 04 09.49248 13 17 28.275 -02 51 55.65 21.9G 531077 F51 C~2rXs 2016 04 09.50582 13 17 28.200 -02 51 55.20 21.5G 531077 F51 C~2rXs 2016 04 28.35916 13 15 59.923 -02 44 03.13 22.1G 531077 F51 C~2rXs 2016 04 28.37034 13 15 59.880 -02 44 02.55 22.5G 531077 F51 C~2rXs 2016 04 28.38155 13 15 59.809 -02 44 02.32 22.5G 531077 F51 C~2rXs 2016 04 28.39271 13 15 59.771 -02 44 02.28 22.6G 531077 F51 C~2rXs 2017 02 22.58066 13 25 25.263 -03 54 06.41 23.1G 531077 F51 C~2rXs 2017 02 22.58798 13 25 25.203 -03 54 06.04 22.3G 531077 F51 C~2rXs 2017 02 22.59188 13 25 25.207 -03 54 05.77 22.1G 531077 F51 C~2rXs 2017 02 22.59851 13 25 25.189 -03 54 06.02 22.9G 531077 F51 C~2rXs 2017 02 22.60242 13 25 25.182 -03 54 05.89 22.6G 531077 F51 C~2rXs 2017 02 22.60907 13 25 25.161 -03 54 05.65 22.4G 531077 F51 C~2rXs 2017 02 22.61295 13 25 25.156 -03 54 06.06 23.0G 531077 F51 C~2rXs 2017 04 26.36853 13 20 59.308 -03 27 28.80 21.9G 531077 F51 C~2rXs 2017 04 26.38986 13 20 59.226 -03 27 29.28 22.6G 531077 F51 C~2rXs 2017 04 26.40055 13 20 59.160 -03 27 28.66 22.4G 531077 F51 C~2rXs 2017 05 17.26086 13 19 31.234 -03 20 31.26 22.3G 531077 F51 C~2rXs 2018 03 18.47342 13 28 46.605 -04 26 33.68 22.6G 531077 F51 C~2rXs 2018 03 18.48525 13 28 46.568 -04 26 33.36 22.4G 531077 F51 C~2rXs 2018 03 18.50902 13 28 46.462 -04 26 32.70 22.7G 531077 F51 C~2rXs 2018 04 12.41498 13 26 53.196 -04 15 30.77 21.3G 531077 F51 C~2rXt 2018 04 13.41961 13 26 48.449 -04 15 04.83 22.0G 531077 F51 C~2rXt 2018 04 13.43161 13 26 48.381 -04 15 04.46 22.0G 531077 F51 C~2rXt 2018 04 13.44360 13 26 48.323 -04 15 03.95 22.2G 531077 F51 C~2rXt 2018 04 13.45557 13 26 48.259 -04 15 03.70 22.3G 531077 F51 C~2rXt 2018 05 19.32801 13 24 10.550 -04 02 01.60 22.7G 531077 F51 C~2rXt 2018 05 19.33998 13 24 10.498 -04 02 01.38 22.4G 531077 F51 C~2rXt 2018 05 19.36395 13 24 10.444 -04 02 01.04 22.7G 531077 F51 C~2rXt 2021 05 08.368645 13 38 59.862 -06 08 18.87 22.3w 531077 F51 C~4pOy 2021 05 08.379624 13 38 59.815 -06 08 18.39 22.2w 531077 F51 C~4pOy 2021 05 08.390587 13 38 59.764 -06 08 18.21 22.2w 531077 F51 C~4pOy 2023 03 18.418850 13 52 05.218 -07 48 04.20 22.5G 531077 G37 C~6bpT 2023 03 18.460040 13 52 05.032 -07 48 03.02 531077 G37 C~6bpT 2023 03 18.501400 13 52 04.894 -07 48 02.39 531077 G37 C~6bpT
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 -0.24 0.00 -0.17
2 0.0000 0.00 -0.17 0.00 -0.10
3 0.0000 0.00 0.02 0.00 -0.07
4 6.8916 0.00 0.46 0.00 -0.06
5 7.3454 0.00 -0.08 0.00 0.04
6 7.7953 0.00 0.14 0.00 0.29
7 7.9404 0.00 0.64 0.00 -0.15
8 7.9459 0.00 0.05 0.00 -0.24
9 7.9459 0.00 0.24 0.00 0.02
10 7.9513 0.00 0.13 0.00 0.01
11 7.9540 0.00 0.42 0.00 -0.18
12 8.9122 0.00 0.15 0.00 0.14
13 8.9122 0.00 0.19 0.00 0.04
14 8.9123 0.00 0.15 0.00 -0.06
15 9.0322 0.00 0.05 0.00 0.14
16 9.0322 0.00 0.07 0.00 0.13
17 9.0322 0.00 0.09 0.00 0.11
18 9.0323 0.00 -0.06 0.00 0.10
19 9.0408 0.00 -0.17 0.00 0.25
20 9.7283 0.00 -0.12 0.00 -0.02
21 9.7283 0.00 0.02 0.00 -0.15
22 9.7283 0.00 -0.22 0.00 0.08
23 9.7283 0.00 -0.28 0.00 -0.07
24 9.9662 0.00 -0.01 0.00 0.12
25 9.9662 0.00 -0.05 0.00 0.14
26 9.9662 0.00 -0.29 0.00 -0.01
27 9.9663 0.00 0.02 0.00 0.02
28 10.0126 0.00 -0.61 0.00 0.01
29 10.0288 0.00 -0.11 0.00 0.03
30 10.0288 0.00 -0.11 0.00 -0.02
31 10.0289 0.00 -0.10 0.00 0.22
32 10.0289 0.00 -0.11 0.00 -0.01
33 10.0537 0.00 0.18 0.00 -0.07
34 10.0862 0.00 0.33 0.00 0.42
35 11.0636 0.00 0.30 0.00 0.07
36 11.0637 0.00 -0.07 0.00 0.63
37 11.0637 0.00 -0.46 0.00 0.10
38 11.8145 0.00 -0.12 0.00 -0.01
39 11.8145 0.00 0.05 0.00 -0.10
40 11.8146 0.00 -0.08 0.00 0.04
41 11.8146 0.00 0.08 0.00 0.10
42 11.8200 0.00 0.11 0.00 0.01
43 11.8200 0.00 0.02 0.00 -0.18
44 11.8200 0.00 -0.01 0.00 -0.05
45 11.8200 0.00 0.05 0.00 -0.01
46 12.0521 0.00 0.04 0.00 0.04
47 12.0521 0.00 -0.07 0.00 -0.24
48 12.0522 0.00 -0.33 0.00 0.25
49 12.0522 0.00 -0.11 0.00 -0.26
50 12.0549 0.00 0.23 0.00 0.04
51 12.0549 0.00 0.12 0.00 0.05
52 12.0550 0.00 -0.22 0.00 -0.27
53 12.1450 0.00 -0.05 0.00 -0.00
54 12.1724 0.00 -0.08 0.00 -0.32
55 12.3529 0.00 0.02 0.00 -0.10
56 12.7919 0.00 -0.04 0.00 0.24
57 12.8467 0.00 0.23 0.00 0.06
58 12.8931 0.00 -0.14 0.00 -0.01
59 12.9421 0.00 0.12 0.00 -0.05
60 12.9421 0.00 -0.08 0.00 -0.04
61 12.9422 0.00 -0.13 0.00 -0.07
62 12.9422 0.00 -0.15 0.00 0.01
63 12.9450 0.00 -0.54 0.00 0.08
64 12.9450 0.00 0.11 0.00 0.19
65 13.0022 0.00 -0.03 0.00 -0.07
66 13.0023 0.00 -0.08 0.00 -0.17
67 13.0023 0.00 0.02 0.00 -0.06
68 13.0023 0.00 -0.05 0.00 0.16
69 13.0240 0.00 0.05 0.00 -0.26
70 13.0241 0.00 0.05 0.00 -0.02
71 13.0241 0.00 -0.06 0.00 -0.00
72 13.0241 0.00 -0.17 0.00 -0.08
73 13.0243 0.00 -0.16 0.00 0.09
74 13.0243 0.00 0.01 0.00 -0.27
75 13.0244 0.00 -0.14 0.00 -0.18
76 13.0760 0.00 0.13 0.00 -0.12
77 13.0760 0.00 0.25 0.00 0.20
78 13.0761 0.00 -0.04 0.00 0.18
79 13.0761 0.00 0.16 0.00 -0.03
80 13.8980 0.00 0.23 0.00 -0.11
81 13.8980 0.00 -0.35 0.00 0.11
82 13.8980 0.00 -0.12 0.00 0.30
83 13.8980 0.00 -0.10 0.00 -0.08
84 13.8980 0.00 -0.03 0.00 -0.04
85 13.8980 0.00 -0.06 0.00 0.07
86 13.8980 0.00 0.04 0.00 -0.42
87 14.0699 0.00 0.01 0.00 0.43
88 14.0699 0.00 0.27 0.00 -0.55
89 14.0699 0.00 0.03 0.00 -0.18
90 14.1271 0.00 0.04 0.00 0.38
91 14.9627 0.00 -0.06 0.00 -0.04
92 14.9627 0.00 0.14 0.00 -0.02
93 14.9628 0.00 0.07 0.00 0.02
94 15.0310 0.00 -0.30 0.00 0.15
95 15.0337 0.00 0.12 0.00 -0.19
96 15.0338 0.00 -0.03 0.00 -0.13
97 15.0338 0.00 -0.03 0.00 0.06
98 15.0338 0.00 -0.12 0.00 0.00
99 15.1320 0.00 -0.03 0.00 -0.13
100 15.1321 0.00 -0.13 0.00 -0.10
101 15.1321 0.00 0.43 0.00 -0.13
102 18.1027 0.00 0.13 0.00 -0.10
103 18.1027 0.00 0.16 0.00 0.15
104 18.1028 0.00 0.12 0.00 0.10
105 19.9618 0.00 0.11 0.00 -0.04
106 19.9620 0.00 -0.26 0.00 0.22
107 19.9621 0.00 0.09 0.00 -0.07
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.
531077 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.321 39.321 39.321 ecceobj 0.190 0.190 0.190 incobj 9.713 9.713 9.713 qmin 31.360 31.360 31.360 qmax 48.021 48.023 48.019 amean 39.456 39.456 39.456 amin 39.027 39.028 39.027 amax 39.951 39.951 39.951 emean 0.186 0.186 0.186 emin 0.165 0.165 0.165 emax 0.204 0.204 0.204 imean 8.575 8.575 8.575 imin 7.960 7.960 7.960 imax 9.335 9.335 9.335 excite_mean 0.238 0.238 0.238 fracstop 1.000 1.000 1.000 cjmean 2.987 2.987 2.987 libcent 0 180.1 180.3 180.0 libamp 0 74.3 74.0 74.4 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 183.1 183.0 183.0 kozaiamp 180.0 180.0 180.0