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: 99KR18
# Created Fri Nov 22 02:08:01 2024
# Orbit generated from Bernstein formalism
# Fitting 19 observations of 21
# Arc: 2.52y
# First observation: 1999/05/11
# Last observation: 2001/11/15
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.014989 0.000002 0.000141 0.019405 0.000000
# Chi-squared of fit: 16.26 DOF: 32 RMS: 0.16
# Min/Max residuals: -0.47 0.24
# Exact a, adot, b, bdot, g, gdot:
1.127603E-05 1.476057E-02 1.480723E-06 1.410386E-04 1.911216E-02 8.635313E-04
# Covariance matrix:
2.5923E-13 8.2970E-14 -9.0415E-16 2.0591E-15 2.7519E-13 5.5179E-12
8.2970E-14 4.7816E-13 -2.3449E-15 8.0018E-15 5.6078E-13 2.1816E-11
-9.0415E-16 -2.3449E-15 1.6327E-13 -8.2456E-14 -3.1836E-15 -1.3601E-13
2.0591E-15 8.0018E-15 -8.2456E-14 7.8142E-14 9.2490E-15 5.9400E-13
2.7519E-13 5.6078E-13 -3.1836E-15 9.2490E-15 8.5414E-13 2.5065E-11
5.5179E-12 2.1816E-11 -1.3601E-13 5.9400E-13 2.5065E-11 1.6316E-09
# lat0 lon0 xBary yBary zBary JD0
0.248247 -50.834274 0.997942 0.000606 -0.189691 2451309.863153
# Heliocentric elements and errors
Epoch: 2451300.5000 = 1999/05/02
Mean Anomaly: 168.17796 +/- 0.597
Argument of Peri: 212.08807 +/- 0.608
Long of Asc Node: 283.96827 +/- 0.043
Inclination: 0.60538 +/- 0.001
Eccentricity: 0.20436355 +/- 0.0002
Semi-Major Axis: 43.72142764 +/- 0.0074
Time of Perihelion: 2507565.1900 +/- 174.8
Perihelion: 34.78636150 +/- 0.0123
Aphelion: 52.65649379 +/- 0.0140
Period (y) 289.1011 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.39953653 +/- 0.0016
Ecliptic Y -41.34268749 +/- 0.0020
Ecliptic Z 0.22677145 +/- 0.0000
Ecliptic XDOT 0.00171478 +/- 0.0000
Ecliptic YDOT 0.00124828 +/- 0.0000
Ecliptic ZDOT 0.00002077 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 52.52617634 +/- 0.0018
Geocenter to KBO 52.32270605 +/- 0.0025
# Hcoef: 7.91
The following table shows the complete astrometric record for 99KR18. 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 (99KR18) followed by the observatory code and reference code for the source of the astrometry.
1999 05 11.36241 20 46 07.53 -17 43 25.4 24.6R 99KR18 807 Ca6743 1999 05 18.31687 20 46 03.91 -17 43 36.4 25.0R 99KR18 807 Ca6743 1999 05 18.39397 20 46 03.87 -17 43 37.1 24.7R 99KR18 807 Ca6743 1999 05 19.31240 20 46 03.12 -17 43 39.3 24.8R 99KR18 807 Ca6743 1999 05 19.38827 20 46 03.03 -17 43 39.6 24.4R 99KR18 807 Ca6743 1999 08 08.38579 20 42 00.01 -17 58 58.7 25.1R 99KR18 568 Ca6743 1999 08 08.43446 20 41 59.82 -17 58 59.7 25.5R 99KR18 568 Ca6743 1999 08 08.43968 20 41 59.79 -17 58 59.7 25.1R 99KR18 568 Ca6743 1999 08 08.44484 20 41 59.77 -17 59 00.0 24.9R 99KR18 568 Ca6743 2000 07 28.15275 20 46 10.60 -17 42 20.9 24.3R 99KR18 309 Ce1692 2000 07 28.15829 20 46 10.58 -17 42 20.9 24.4R 99KR18 309 Ce1692 2000 07 28.16385 20 46 10.55 -17 42 21.1 24.2R 99KR18 309 Ce1692 2000 07 29.05402 20 46 07.01 -17 42 34.3 99KR18 309 Ce1692 2000 07 29.05958 20 46 06.98 -17 42 34.5 99KR18 309 Ce1692 2000 07 29.06537 20 46 06.96 -17 42 35.0 25. R 99KR18 309 Ce1692 2001 07 26.47918 20 49 45.63 -17 27 42.1 99KR18 568 Ce1692 2001 08 13.02713 20 48 35.81 -17 32 17.6 99KR18 807 Ce1692 2001 08 13.06199 20 48 35.70 -17 32 18.1 99KR18 807 Ce1692 2001 11 14.03099 20 46 01.52 -17 42 40.2 24.4R 99KR18 309 Ce1692 2001 11 14.07814 20 46 01.60 -17 42 39.5 24.8R 99KR18 309 Ce1692 2001 11 15.04998 20 46 03.20 -17 42 33.6 25.4R 99KR18 309 Ce1692
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 0.19 0.00 -0.28
2 0.0190 -52.79 -0.10 3.03 0.22
3 0.0193 -53.53 0.11 2.50 -0.34
4 0.0218 -64.44 0.16 3.21 0.04
5 0.0220 -65.76 -0.14 3.26 0.05
6 0.2437 -3655.48 0.04 21.75 0.24
7 0.2439 -3658.36 0.07 21.48 -0.04
8 0.2439 -3658.77 -0.03 21.59 0.07
9 0.2439 -3659.12 -0.08 21.38 -0.15
10 1.2150 59.33 -0.13 50.64 0.07
11 1.2150 59.05 -0.08 50.72 0.15
12 1.2151 58.58 -0.21 50.64 0.07
13 1.2175 6.31 ( 0.19) 51.25 ( 0.59)
14 1.2175 5.84 ( 0.05) 51.17 ( 0.51)
15 1.2175 5.44 -0.01 50.76 0.10
16 2.2098 3257.33 -0.03 79.61 -0.47
17 2.2578 2221.02 -0.17 81.47 0.18
18 2.2579 2219.37 0.23 81.41 0.12
19 2.5124 -70.92 -0.01 66.24 -0.23
20 2.5126 -69.63 0.18 66.62 0.14
21 2.5152 -46.02 0.01 66.28 0.03
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.
99KR18 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 43.639 43.662 43.619 ecceobj 0.207 0.207 0.206 incobj 0.608 0.608 0.608 qmin 34.001 33.982 34.028 qmax 53.991 53.979 53.978 amean 43.727 43.727 43.727 amin 43.297 43.291 43.269 amax 44.241 44.234 44.253 emean 0.178 0.173 0.188 emin 0.104 0.093 0.138 emax 0.221 0.221 0.221 imean 6.197 6.498 5.498 imin 2.180 2.180 2.180 imax 10.897 10.804 9.561 excite_mean 0.213 0.212 0.214 fracstop 1.000 1.000 1.000 cjmean 3.043 3.044 3.043 libcent 0 183.0 171.5 176.4 libamp 0 118.2 118.5 101.9 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 259.7 242.1 268.6 kozaiamp 70.2 64.9 61.3