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: 19VD51
# Created Mon Apr 28 01:11:19 2025
# Orbit generated from Bernstein formalism
# Fitting 69 observations of 69
# Arc: 4.45y
# First observation: 2015/07/17
# Last observation: 2019/12/28
Preliminary a, adot, b, bdot, g, gdot:
0.000081 0.020039 -0.000001 -0.000177 0.021994 0.000000
# Chi-squared of fit: 29.23 DOF: 132 RMS: 0.12
# Min/Max residuals: -0.33 0.39
# Exact a, adot, b, bdot, g, gdot:
1.429481E-05 2.010338E-02 1.274973E-06 -1.803986E-04 2.197645E-02 9.064724E-04
# Covariance matrix:
6.8411E-13 -6.3706E-13 -8.4526E-15 7.5959E-15 -3.7913E-13 -6.6617E-12
-6.3706E-13 7.0167E-13 9.5131E-15 -8.6375E-15 4.5369E-13 7.6483E-12
-8.4526E-15 9.5131E-15 1.7374E-13 -4.5086E-14 3.8544E-15 1.2376E-13
7.5959E-15 -8.6375E-15 -4.5086E-14 1.3399E-14 -4.2036E-15 -1.0710E-13
-3.7913E-13 4.5369E-13 3.8544E-15 -4.2036E-15 3.9837E-13 4.2973E-12
-6.6617E-12 7.6483E-12 1.2376E-13 -1.0710E-13 4.2973E-12 9.0532E-11
# lat0 lon0 xBary yBary zBary JD0
2.999181 -10.349353 0.834977 0.030575 -0.580792 2457220.921972
# Heliocentric elements and errors
Epoch: 2457220.5000 = 2015/07/17
Mean Anomaly: 132.99009 +/- 0.549
Argument of Peri: 322.74457 +/- 0.546
Long of Asc Node: 249.83269 +/- 0.006
Inclination: 2.99619 +/- 0.000
Eccentricity: 0.03732199 +/- 0.0003
Semi-Major Axis: 44.91305077 +/- 0.0031
Time of Perihelion: 2416606.6622 +/- 167.7
Perihelion: 43.23680637 +/- 0.0136
Aphelion: 46.58929517 +/- 0.0136
Period (y) 301.0004 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 45.12041482 +/- 0.0013
Ecliptic Y -9.08898407 +/- 0.0002
Ecliptic Z 2.38087351 +/- 0.0001
Ecliptic XDOT 0.00055977 +/- 0.0000
Ecliptic YDOT 0.00243699 +/- 0.0000
Ecliptic ZDOT -0.00001647 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.08828510 +/- 0.0013
Geocenter to KBO 45.50325792 +/- 0.0013
# Hcoef: 7.57
The following table shows the complete astrometric record for 19VD51. 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 (19VD51) followed by the observatory code and reference code for the source of the astrometry.
2015 07 17.421183 23 17 14.856 -01 20 18.46 23.2r 19VD51 W84 C~8HVx 2016 07 12.54333 23 21 37.05 -00 53 19.7 23.9z 19VD51 T09 C~8niF 2016 07 12.55760 23 21 37.04 -00 53 20.0 23.7z 19VD51 T09 C~8niF 2016 07 12.57191 23 21 37.00 -00 53 20.0 23.7z 19VD51 T09 C~8niF 2016 07 12.58627 23 21 36.98 -00 53 20.0 23.8z 19VD51 T09 C~8niF 2016 07 12.60066 23 21 36.96 -00 53 20.0 24.0z 19VD51 T09 C~8niF 2016 09 26.131628 23 17 19.022 -01 18 57.24 23.9g 19VD51 W84 C~8HVx 2016 09 30.121056 23 17 03.538 -01 20 41.50 22.0z 19VD51 W84 C~8HVx 2017 06 24.50513 23 26 08.57 -00 26 16.4 24.1i 19VD51 T09 C~7xXH 2017 06 24.53163 23 26 08.56 -00 26 16.4 24.1i 19VD51 T09 C~7xXH 2017 06 24.53430 23 26 08.56 -00 26 16.4 24.2i 19VD51 T09 C~7xXH 2017 06 24.55844 23 26 08.55 -00 26 16.4 24.3i 19VD51 T09 C~7xXH 2017 06 24.58263 23 26 08.55 -00 26 16.4 23.9i 19VD51 T09 C~7xXH 2017 06 24.60699 23 26 08.53 -00 26 16.2 23.7i 19VD51 T09 C~7xXH 2017 09 13.37649 23 22 28.31 -00 46 34.8 23.5y 19VD51 T09 C~7xXH 2017 09 13.39385 23 22 28.21 -00 46 35.3 23.6y 19VD51 T09 C~7xXH 2017 09 13.40812 23 22 28.16 -00 46 35.6 23.3y 19VD51 T09 C~7xXH 2017 09 13.42241 23 22 28.12 -00 46 36.1 23.6y 19VD51 T09 C~7xXH 2017 09 27.29732 23 21 32.17 -00 52 44.1 23.8z 19VD51 T09 C~7xXH 2017 09 27.31134 23 21 32.13 -00 52 44.4 24.1z 19VD51 T09 C~7xXH 2017 09 27.33946 23 21 32.00 -00 52 45.1 23.9z 19VD51 T09 C~7xXH 2017 09 27.35362 23 21 31.94 -00 52 45.6 24.7z 19VD51 T09 C~7xXH 2018 09 17.261343 23 26 30.254 -00 21 31.61 23.3i 19VD51 W84 C~8HVx 2018 09 17.262720 23 26 30.242 -00 21 31.61 23.7r 19VD51 W84 C~8HVy 2018 12 13.24540 23 23 15.71 -00 46 43.8 24.5i 19VD51 T09 C~7xXH 2018 12 13.26046 23 23 15.74 -00 46 43.9 24.2i 19VD51 T09 C~7xXH 2018 12 13.27891 23 23 15.75 -00 46 43.8 24.4i 19VD51 T09 C~7xXH 2018 12 13.29363 23 23 15.76 -00 46 43.6 24.4i 19VD51 T09 C~7xXH 2019 10 23.24670 23 28 34.45 -00 10 04.1 23.5z 19VD51 T09 C~7xXH 2019 10 23.25018 23 28 34.44 -00 10 04.2 23.4z 19VD51 T09 C~7xXH 2019 10 23.26073 23 28 34.40 -00 10 04.6 23.4z 19VD51 T09 C~7xXH 2019 10 23.26421 23 28 34.39 -00 10 04.4 23.4z 19VD51 T09 C~7xXH 2019 10 27.21331 23 28 22.74 -00 11 31.1 24.1r 19VD51 T09 C~7xXH 2019 10 27.22075 23 28 22.73 -00 11 31.2 24.4r 19VD51 T09 C~7xXH 2019 10 27.23054 23 28 22.70 -00 11 31.6 24.5r 19VD51 T09 C~7xXH 2019 10 27.23299 23 28 22.69 -00 11 31.6 24.8r 19VD51 T09 C~7xXH 2019 10 27.24280 23 28 22.67 -00 11 31.9 24.4r 19VD51 T09 C~7xXH 2019 10 27.24524 23 28 22.65 -00 11 31.9 24.5r 19VD51 T09 C~7xXH 2019 10 27.24768 23 28 22.65 -00 11 32.1 24.5r 19VD51 T09 C~7xXH 2019 11 01.21232 23 28 09.30 -00 13 14.2 24.6g 19VD51 T09 C~7xXH 2019 11 01.21475 23 28 09.30 -00 13 13.9 24.6g 19VD51 T09 C~7xXH 2019 11 01.29245 23 28 09.10 -00 13 15.5 25.3g 19VD51 T09 C~7xXH 2019 11 01.38109 23 28 08.85 -00 13 17.2 24.8g 19VD51 T09 C~7xXH 2019 11 02.20667 23 28 06.80 -00 13 33.4 23.9i 19VD51 T09 C~7xXH 2019 11 02.21016 23 28 06.80 -00 13 33.4 23.7i 19VD51 T09 C~7xXH 2019 11 02.22066 23 28 06.77 -00 13 33.5 24.0i 19VD51 T09 C~7xXH 2019 11 02.22416 23 28 06.75 -00 13 33.7 24.2i 19VD51 T09 C~7xXH 2019 11 02.23475 23 28 06.73 -00 13 33.9 23.9i 19VD51 T09 C~7xXH 2019 11 02.24883 23 28 06.69 -00 13 34.0 24.2i 19VD51 T09 C~7xXH 2019 11 02.25232 23 28 06.68 -00 13 34.2 23.9i 19VD51 T09 C~7xXH 2019 11 28.20735 23 27 26.28 -00 19 36.0 25.6g 19VD51 T09 C~7xXH 2019 11 28.29526 23 27 26.20 -00 19 36.8 25.7g 19VD51 T09 C~7xXH 2019 11 28.37254 23 27 26.18 -00 19 37.5 26.1g 19VD51 T09 C~7xXH 2019 11 29.20579 23 27 25.74 -00 19 43.9 24.6r 19VD51 T09 C~7xXH 2019 11 29.21579 23 27 25.74 -00 19 44.0 24.2r 19VD51 T09 C~7xXH 2019 11 29.22581 23 27 25.73 -00 19 44.0 24.5r 19VD51 T09 C~7xXH 2019 11 29.24429 23 27 25.73 -00 19 44.4 24.6r 19VD51 T09 C~7xXH 2019 12 01.20076 23 27 24.94 -00 19 57.6 23.7i 19VD51 T09 C~7xXH 2019 12 01.21144 23 27 24.94 -00 19 57.6 23.8i 19VD51 T09 C~7xXH 2019 12 01.21493 23 27 24.94 -00 19 57.8 23.8i 19VD51 T09 C~7xXH 2019 12 01.22561 23 27 24.92 -00 19 58.0 23.7i 19VD51 T09 C~7xXI 2019 12 01.23967 23 27 24.93 -00 19 58.0 23.8i 19VD51 T09 C~7xXI 2019 12 01.24319 23 27 24.93 -00 19 57.8 23.9i 19VD51 T09 C~7xXI 2019 12 01.25018 23 27 24.93 -00 19 58.0 23.8i 19VD51 T09 C~7xXI 2019 12 28.20871 23 27 46.42 -00 19 38.9 25.7g 19VD51 T09 C~7xXI 2019 12 28.21120 23 27 46.42 -00 19 38.7 25.2g 19VD51 T09 C~7xXI 2019 12 28.24368 23 27 46.48 -00 19 38.5 25.5g 19VD51 T09 C~7xXI 2019 12 28.24615 23 27 46.49 -00 19 38.4 25.5g 19VD51 T09 C~7xXI 2019 12 28.27003 23 27 46.55 -00 19 38.0 25.6g 19VD51 T09 C~7xXI
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 0.04 0.00 -0.29
2 0.9887 4252.63 -0.06 -50.34 0.19
3 0.9887 4252.37 0.08 -50.55 -0.08
4 0.9888 4251.82 -0.07 -50.32 0.10
5 0.9888 4251.54 0.05 -50.20 0.16
6 0.9889 4251.27 0.17 -50.08 0.22
7 1.1956 89.28 -0.09 50.29 -0.01
8 1.2066 -165.20 -0.06 45.23 -0.01
9 1.9386 8640.00 0.04 -152.86 0.00
10 1.9387 8639.86 -0.00 -152.80 -0.05
11 1.9387 8639.86 0.01 -152.80 -0.06
12 1.9388 8639.72 -0.04 -152.74 -0.10
13 1.9388 8639.72 0.06 -152.74 -0.20
14 1.9389 8639.52 -0.04 -152.44 0.00
15 2.1600 5119.06 0.11 21.01 -0.05
16 2.1601 5117.49 -0.29 21.14 0.07
17 2.1601 5116.68 -0.13 21.16 0.09
18 2.1602 5115.93 0.09 20.93 -0.14
19 2.1982 4199.21 -0.01 11.11 -0.04
20 2.1982 4198.54 0.24 11.06 -0.07
21 2.1983 4196.47 0.01 11.18 0.07
22 2.1983 4195.45 -0.09 11.08 -0.02
23 3.1700 9051.60 -0.03 -18.22 -0.03
24 3.1700 9051.44 -0.10 -18.15 0.05
25 3.4081 5770.08 -0.16 -265.94 0.19
26 3.4082 5770.46 0.06 -266.21 -0.02
27 3.4082 5770.63 0.05 -266.18 0.08
28 3.4083 5770.85 0.11 -266.05 0.26
29 4.2678 11039.65 0.07 -116.11 0.03
30 4.2678 11039.47 0.07 -116.14 0.01
31 4.2679 11038.76 -0.09 -116.28 -0.10
32 4.2679 11038.70 0.03 -116.03 0.15
33 4.2787 10843.40 -0.10 -127.30 0.15
34 4.2787 10843.23 0.09 -127.34 0.14
35 4.2787 10842.65 -0.01 -127.53 -0.03
36 4.2787 10842.52 -0.03 -127.47 0.03
37 4.2788 10842.12 0.05 -127.63 -0.10
38 4.2788 10841.84 -0.11 -127.51 0.02
39 4.2788 10841.77 -0.07 -127.70 -0.15
40 4.2924 10616.91 -0.08 -143.14 -0.33
41 4.2924 10617.03 0.14 -142.87 -0.04
42 4.2926 10613.64 0.15 -143.16 -0.13
43 4.2928 10609.51 -0.10 -143.26 0.03
44 4.2951 10574.78 -0.11 -146.11 -0.10
45 4.2951 10574.78 0.04 -146.11 -0.09
46 4.2951 10574.32 0.04 -146.02 0.03
47 4.2951 10573.97 -0.17 -146.09 -0.03
48 4.2952 10573.61 -0.07 -146.16 -0.07
49 4.2952 10573.02 -0.06 -146.01 0.12
50 4.2952 10572.80 -0.13 -146.14 0.00
51 4.3663 9871.77 0.24 -241.53 0.11
52 4.3665 9870.35 -0.14 -241.79 0.16
53 4.3667 9869.80 0.20 -242.32 -0.09
54 4.3690 9861.20 -0.09 -245.62 0.02
55 4.3690 9861.16 -0.02 -245.72 -0.04
56 4.3691 9861.02 -0.05 -245.66 0.06
57 4.3691 9860.86 -0.01 -246.03 -0.25
58 4.3745 9844.75 -0.03 -253.53 0.15
59 4.3745 9844.75 0.06 -253.53 0.19
60 4.3745 9844.67 0.01 -253.72 0.02
61 4.3746 9844.31 -0.26 -253.78 -0.01
62 4.3746 9844.45 -0.01 -253.84 -0.02
63 4.3746 9844.53 0.09 -253.66 0.18
64 4.3746 9844.45 0.07 -253.84 0.02
65 4.4484 10149.20 -0.01 -362.77 -0.23
66 4.4484 10149.28 -0.00 -362.59 -0.04
67 4.4485 10150.19 -0.02 -362.76 -0.09
68 4.4485 10150.37 0.09 -362.73 -0.05
69 4.4486 10151.35 0.39 -362.71 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.
19VD51 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.286 45.296 45.276 ecceobj 0.031 0.031 0.030 incobj 2.997 2.997 2.997 qmin 42.952 42.938 42.977 qmax 47.540 47.583 47.527 amean 45.156 45.178 45.144 amin 44.796 44.806 44.792 amax 45.516 45.522 45.503 emean 0.032 0.032 0.031 emin 0.019 0.020 0.019 emax 0.045 0.045 0.045 imean 4.637 4.636 4.637 imin 4.165 4.164 4.159 imax 5.025 5.016 5.017 excite_mean 0.087 0.087 0.087 fracstop 1.000 1.000 1.000 cjmean 3.106 3.106 3.106 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 182.3 182.5 181.8 kozaiamp 180.0 180.0 180.0