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: 16PO296
# Created Wed Jul 17 01:11:20 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 14.31y
# First observation: 2005/06/06
# Last observation: 2019/09/27
# Chi-squared of fit: 15.12 DOF: 50 RMS: 0.13
# Min/Max residuals: -0.37 0.31
# Exact a, adot, b, bdot, g, gdot:
9.902059E-06 9.241391E-03 3.995220E-06 2.293303E-03 1.441984E-02 -2.140532E-03
# Covariance matrix:
1.1739E-12 -2.2718E-13 1.4136E-13 -4.6642E-14 -3.4519E-15 -1.2130E-12
-2.2718E-13 9.1091E-14 -7.5643E-14 2.4166E-14 1.0191E-13 6.4135E-13
1.4136E-13 -7.5643E-14 5.8318E-13 -6.8842E-14 -1.0130E-13 -5.6935E-13
-4.6642E-14 2.4166E-14 -6.8842E-14 1.1633E-14 3.1274E-14 1.8125E-13
-3.4519E-15 1.0191E-13 -1.0130E-13 3.1274E-14 2.7423E-13 8.4826E-13
-1.2130E-12 6.4135E-13 -5.6935E-13 1.8125E-13 8.4826E-13 4.8210E-12
# lat0 lon0 xBary yBary zBary JD0
3.096366 -12.705577 1.012710 -0.001249 0.025050 2453527.837259
# Heliocentric elements and errors
Epoch: 2453528.5000 = 2005/06/07
Mean Anomaly: 241.56693 +/- 0.043
Argument of Peri: 156.10967 +/- 0.030
Long of Asc Node: 334.29508 +/- 0.001
Inclination: 14.40779 +/- 0.000
Eccentricity: 0.30419752 +/- 0.0001
Semi-Major Axis: 57.69923027 +/- 0.0076
Time of Perihelion: 2506193.7268 +/- 28.6
Perihelion: 40.14726752 +/- 0.0083
Aphelion: 75.25119302 +/- 0.0117
Period (y) 438.2917 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 67.30065141 +/- 0.0025
Ecliptic Y -16.21294480 +/- 0.0006
Ecliptic Z 3.74619663 +/- 0.0002
Ecliptic XDOT -0.00003199 +/- 0.0000
Ecliptic YDOT 0.00179907 +/- 0.0000
Ecliptic ZDOT 0.00041288 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 69.32744807 +/- 0.0024
Geocenter to KBO 69.34906645 +/- 0.0025
# Hcoef: 5.81
The following table shows the complete astrometric record for 16PO296. 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 (16PO296) followed by the observatory code and reference code for the source of the astrometry.
2005 06 06.336516 23 08 25.51 -02 09 59.0 16PO296 309 C~86tr 2010 10 15.378827 23 13 02.56 -00 51 16.4 16PO296 T14 C~86tr 2010 11 09.212345 23 12 16.47 -00 56 41.9 16PO296 T14 C~86tr 2010 11 09.217665 23 12 16.45 -00 56 42.4 16PO296 T14 C~86tr 2010 11 09.223031 23 12 16.44 -00 56 42.1 16PO296 T14 C~86tr 2010 11 09.228406 23 12 16.45 -00 56 41.9 16PO296 T14 C~86tr 2010 11 09.233707 23 12 16.44 -00 56 42.2 16PO296 T14 C~86tr 2015 11 06.030463 23 21 26.357 +00 46 22.6 16PO296 W84 C~86tr 2015 11 06.031503 23 21 26.357 +00 46 22.6 16PO296 W84 C~86tr 2016 07 07.579103 23 28 02.71 +01 33 49.7 16PO296 T09 C~86tr 2016 07 07.608439 23 28 02.67 +01 33 49.6 16PO296 T09 C~86tr 2016 08 01.49230 23 27 23.13 +01 31 44.3 24.2z 16PO296 T09 C~86tr 2016 08 01.51671 23 27 23.11 +01 31 44.1 24.0z 16PO296 T09 C~86tr 2016 08 01.52754 23 27 23.08 +01 31 43.9 23.8z 16PO296 T09 C~86tr 2016 08 01.54931 23 27 23.03 +01 31 43.8 24.0z 16PO296 T09 C~86tr 2016 08 01.57371 23 27 22.98 +01 31 43.6 23.9z 16PO296 T09 C~86tr 2016 08 09.44305 23 27 05.28 +01 30 24.0 23.7y 16PO296 T09 C~86tr 2016 08 09.45746 23 27 05.22 +01 30 23.7 23.8y 16PO296 T09 C~86tr 2016 08 09.48473 23 27 05.17 +01 30 23.7 24.1y 16PO296 T09 C~86tr 2016 08 09.50679 23 27 05.10 +01 30 23.0 23.9y 16PO296 T09 C~86tr 2016 08 09.55952 23 27 04.98 +01 30 22.7 23.9y 16PO296 T09 C~86tr 2016 09 05.344329 23 25 52.56 +01 24 01.9 23.8i 16PO296 T09 C~86tr 2016 09 05.372090 23 25 52.48 +01 24 01.4 23.8i 16PO296 T09 C~86tr 2016 09 05.409991 23 25 52.37 +01 24 00.8 23.7i 16PO296 T09 C~86tr 2017 06 27.530392 23 30 01.55 +01 54 27.2 23.6z 16PO296 T09 C~86tr 2017 06 27.567840 23 30 01.54 +01 54 27.3 23.5z 16PO296 T09 C~86tr 2019 09 27.363992 23 30 28.65 +02 21 14.1 24.6g 16PO296 T09 C~86tr 2019 09 27.457366 23 30 28.38 +02 21 12.3 24.8g 16PO296 T09 C~86tr
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 0.16 0.00 -0.26
2 5.3581 0.00 -0.16 0.00 0.19
3 5.4261 0.00 0.06 0.00 0.15
4 5.4261 0.00 -0.13 0.00 -0.30
5 5.4261 0.00 -0.17 0.00 0.06
6 5.4261 0.00 0.09 0.00 0.31
7 5.4261 0.00 0.05 0.00 0.07
8 10.4167 0.00 -0.07 0.00 0.04
9 10.4167 0.00 -0.04 0.00 0.05
10 11.0862 0.00 0.15 0.00 -0.04
11 11.0863 0.00 0.02 0.00 -0.11
12 11.1544 0.00 -0.37 0.00 -0.00
13 11.1545 0.00 0.12 0.00 0.02
14 11.1545 0.00 0.02 0.00 -0.09
15 11.1546 0.00 -0.02 0.00 0.01
16 11.1547 0.00 0.02 0.00 0.03
17 11.1762 0.00 0.22 0.00 0.08
18 11.1762 0.00 -0.15 0.00 -0.06
19 11.1763 0.00 0.09 0.00 0.24
20 11.1764 0.00 -0.15 0.00 -0.21
21 11.1765 0.00 -0.02 0.00 0.08
22 11.2499 0.00 0.04 0.00 -0.03
23 11.2499 0.00 0.07 0.00 -0.06
24 11.2500 0.00 0.11 0.00 -0.04
25 12.0580 0.00 -0.02 0.00 -0.07
26 12.0581 0.00 0.11 0.00 -0.08
27 14.3081 0.00 -0.01 0.00 0.08
28 14.3083 0.00 0.08 0.00 -0.02
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.