Orbital Analysis for matched events on 20210816_235857.744_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 60.13° Bg 16.29° Vg 66.56km/s
mass 0.00475g, abs. mag 0.8
Path Details
------------
start 1.36° 53.90° 108.82km
end   1.10° 53.84° 97.93km

Orbit Details
-------------
Semimajor axis 4.48A.U., eccentricity 0.78, inclination 151.30°, Period 9.49Y, LA Sun 144.03°, last Perihelion 2021-07-31

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459443.499279455282
Time: 2021-08-16 23:58:57.744936 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002K
 Convergence angle = 71.56741 deg
 R.A. =  53.74464  Dec = +36.40593 deg

Best intersection: Stations UK0026 and UK002K with Qconv = 71.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3201324.90 +/- 102.68 m
 Y =  -2103694.85 +/- 125.73 m
 Z =   5217956.33 +/- 136.19 m
 Vx =    32119.61 +/- 306.06 m/s
 Vy =    43758.65 +/- 357.18 m/s
 Vz =    40092.73 +/- 387.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.035337e+04, +1.243859e+04, +1.261237e+04, +4.889552e+03, -1.919960e+03, +5.639089e+03
+1.243859e+04, +1.564259e+04, +1.599956e+04, +6.290799e+03, +1.906654e+03, +1.215183e+04
+1.261237e+04, +1.599956e+04, +1.748768e+04, +9.716681e+03, +7.163315e+03, +2.337526e+04
+4.889552e+03, +6.290799e+03, +9.716681e+03, +1.301636e+04, +1.644801e+04, +3.906461e+04
-1.919960e+03, +1.906654e+03, +7.163315e+03, +1.644801e+04, +4.893309e+04, +8.126935e+04
+5.639089e+03, +1.215183e+04, +2.337526e+04, +3.906461e+04, +8.126935e+04, +1.535299e+05

Timing offsets (from input data):
    UK0026: 0.000280 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 23:58:57.744936 UTC
  Lon     = ++1.357239 +/- 0.0024 deg
  Lat     = +53.896747 +/- 0.0006 deg
  Lat geo = +53.716425 +/- 0.0006 deg
  Ht      =  108843.28 +/- 118.97 m

  JD dynamic   = 2459443.500080196187 
  LST apparent = 326.6897809980 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.72068 +/- 0.1028 deg
  Dec       = +36.44983 +/- 0.1528 deg
  Azimuth   =  68.50066 +/- 0.1524 deg
  Elevation = +30.30298 +/- 0.1140 deg
  Vavg      =  68.00769 +/- 0.4084 km/s
  Vinit     =  67.48271 +/- 0.4086 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.73588 +/- 0.1028 deg
  Dec       = +36.30957 +/- 0.1528 deg
  Azimuth   =  68.60089 +/- 0.1524 deg
  Elevation = +30.19197 +/- 0.1140 deg
  Vavg      =  68.23228 +/- 0.4084 km/s
  Vinit     =  67.70730 +/- 0.4086 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.75483 +/- 0.1013 deg
  Dec    = +36.04915 +/- 0.1577 deg
  Vg     =  66.56398 +/- 0.4142 km/s
  Vinf   =  67.48271 +/- 0.4086 km/s
  Zc     =  59.76325 +/- 0.1137 deg
  Zg     =  60.21453 +/- 0.1191 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.13026 +/- 0.0985 deg
  Bg     = +16.29407 +/- 0.1504 deg
  Vh     =  39.42691 +/- 0.4445 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  64.73723 +/- 0.1503 deg
  Bh     = +28.27346 +/- 0.1339 deg
  Vh_x   = -14.81881 +/- 0.1245 km/s
  Vh_y   = -31.40224 +/- 0.3454 km/s
  Vh_z   = -18.67575 +/- 0.2826 km/s
Orbit:
  La Sun = 144.030615 +/- 0.0000 deg
  a      =   4.482669 +/- 1.3478 AU
  e      =   0.781029 +/- 0.0391
  i      = 151.304289 +/- 0.1351 deg
  peri   = 158.488821 +/- 0.5251 deg
  node   = 144.024821 +/- 0.0000 deg
  Pi     = 302.513642 +/- 0.5251 deg
  q      =   0.981576 +/- 0.0009 AU
  f      =  21.503718 +/- 0.5250 deg
  M      =   1.685760 +/- 0.4464 deg
  Q      =   7.983761 +/- 2.6951 AU
  n      =   0.103848 +/- 0.0252 deg/day
  T      =   9.490861 +/- 5.0207 years
  Last perihelion JD = 2459427.267160 (2021-07-31 18:24:42.642129) +/- 0.5369 days
  Tj     =   0.144171 +/- 0.2180
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.581977e-03, +1.578123e-05, +1.934846e-02, +2.135652e-08, +2.950041e-04, -7.885749e-05
q   , +1.578123e-05, +7.516048e-07, +3.396457e-04, +4.427327e-10, +6.529675e-06, -1.628024e-06
Tp  , +1.934846e-02, +3.396457e-04, +2.730938e-01, +3.178694e-07, +4.496971e-03, -1.171860e-03
node, +2.135652e-08, +4.427327e-10, +3.178694e-07, +3.787025e-13, +5.368815e-09, -1.395667e-09
peri, +2.950041e-04, +6.529675e-06, +4.496971e-03, +5.368815e-09, +7.671707e-05, -1.978073e-05
i   , -7.885749e-05, -1.628024e-06, -1.171860e-03, -1.395667e-09, -1.978073e-05, +5.143812e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 2.825e-06 s
  Stddev    = 1.68e-03 s

Begin point on the trajectory:
  Lon =     1.356615 +/- 0.0010 deg
  Lat =    53.896602 +/- 0.0004 deg
  Ht  = 108817.09 +/- 70.61 m
End point on the trajectory:
  Lon =     1.095356 +/- 0.0006 deg
  Lat =    53.835762 +/- 0.0003 deg
  Ht  = 97930.11 +/- 50.69 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   105299.48,    99808.67,          0.004371,      9.91,      7.70,              22.94, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210816_235851_464_0354304.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   108817.09,    97930.11,          0.011384,     21.82,     22.53,              12.24, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_235851_718_0348672.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK0026,       1,  0.060482, 2459443.499280150514,  67.23840,  58.19002,               40.74585,  37.80261,        40.74290,       37.79303,     67.23840,     +58.19002,      67.25515,      +58.18537,  3198959.84, -2106916.93,  5215004.18,      53.882838,       +1.297283,  106337.40,  171208.32,       0.00,             4968.95,   631.48,      0.00,           62826.45,     18.08,     23.27,          35.50,  +5.64,  +4.47
  1,     UK0026,       0,  0.100498, 2459443.499280613381,  67.51136,  58.43189,               40.39657,  37.85697,        40.39735,       37.85957,     67.51136,     +58.43189,      67.50729,      +58.43316,  3197979.48, -2108252.53,  5213780.47,      53.877060,       +1.272365,  105299.48,  169315.53,    2059.71,             7028.67,    -9.19,  51472.28,           62826.45,     -4.84,     -6.23,           9.61,  +2.49,  +1.35
  2,     UK0026,       0,  0.140510, 2459443.499281076714,  67.85718,  58.76293,               39.93167,  37.94343,        39.93272,       37.94698,     67.85718,     +58.76293,      67.85159,      +58.76468,  3196694.47, -2110003.19,  5212176.47,      53.869477,       +1.239754,  103939.75,  166842.62,    4759.51,             9728.46,    -9.52,  67474.54,           62826.45,     -6.51,     -8.39,          13.13,  +1.92,  +0.81
  3,     UK0026,       0,  0.180522, 2459443.499281539582,  68.22835,  59.10401,               39.44715,  38.02822,        39.44932,       38.03575,     68.22835,     +59.10401,      68.21595,      +59.10775,  3195399.74, -2111767.09,  5210560.35,      53.861824,       +1.206896,  102570.57,  164358.57,    7479.71,            12448.66,    10.56,  67984.61,           62826.45,    -13.59,    -17.50,          27.81,  +2.33,  +1.25
  4,     UK0026,       0,  0.220526, 2459443.499282002915,  68.59149,  59.46020,               38.95286,  38.12769,        38.95204,       38.12479,     68.59149,     +59.46020,      68.59751,      +59.45875,  3194110.53, -2113523.46,  5208951.12,      53.854192,       +1.174175,  101208.06,  161892.93,   10188.31,            15157.27,    19.59,  67708.37,           64473.36,      5.15,      6.63,          10.69,  +2.08,  +1.03
  5,     UK0026,       0,  0.260538, 2459443.499282465782,  69.00507,  59.83070,               38.42447,  38.21933,        38.42378,       38.21682,     69.00507,     +59.83070,      69.01059,      +59.82942,  3192785.60, -2115328.50,  5207297.30,      53.846336,       +1.140550,   99808.67,  159367.65,   12971.97,            17940.92,   103.12,  69570.49,           65672.14,      4.38,      5.64,           9.24,  +4.88,  +3.87
  0,     UK002K,       0,  0.000000, 2459443.499279455282,  40.43194,  42.89238,               70.09695,  41.03623,        70.12332,       41.03183,     40.43194,     +42.89238,      40.41897,      +42.87436,  3201300.20, -2103728.50,  5217925.50,      53.896602,       +1.356615,  108817.09,  163911.05,       0.00,               51.89,  -204.10,      0.00,           70127.95,    -41.85,    -40.54,          73.33,  +3.39,  +2.32
  1,     UK002K,       0,  0.039868, 2459443.499279916752,  40.12190,  42.98030,               70.20247,  41.26632,        70.19115,       41.26823,     40.12190,     +42.98030,      40.12757,      +42.98803,  3199769.17, -2105814.32,  5216014.42,      53.887602,       +1.317799,  107194.60,  160759.04,    3216.67,             3268.56,   322.17,  80683.01,           70127.95,     17.55,     17.05,          31.39,  +2.79,  +1.76
  2,     UK002K,       0,  0.079724, 2459443.499280378222,  39.88543,  43.09481,               70.23401,  41.47230,        70.24895,       41.46979,     39.88543,     +43.09481,      39.87854,      +43.08463,  3198512.15, -2107526.84,  5214445.36,      53.880200,       +1.285898,  105863.37,  158171.97,    5857.64,             5909.54,   273.56,  66262.89,           70127.95,    -22.73,    -22.03,          41.28,  +2.36,  +1.36
  3,     UK002K,       0,  0.119600, 2459443.499280839693,  39.62485,  43.18026,               70.30966,  41.67293,        70.30761,       41.67328,     39.62485,     +43.18026,      39.62633,      +43.18166,  3197283.67, -2109200.48,  5212911.94,      53.872956,       +1.254716,  104563.12,  155645.48,    8438.66,             8490.55,   163.63,  64726.03,           70127.95,      3.05,      2.96,           5.64,  +1.88,  +0.92
  4,     UK002K,       0,  0.159452, 2459443.499281300697,  39.38298,  43.29929,               70.33834,  41.88449,        70.36745,       41.87964,     39.38298,     +43.29929,      39.36974,      +43.27952,  3196077.31, -2110843.98,  5211406.12,      53.865831,       +1.224090,  103287.01,  153166.42,   10973.19,            11025.08,     8.84,  63598.60,           68153.40,    -42.66,    -41.29,          79.94,  +2.36,  +1.43
  5,     UK002K,       0,  0.199324, 2459443.499281762168,  39.09145,  43.38657,               70.43004,  42.10341,        70.43276,       42.10295,     39.09145,     +43.38657,      39.09100,      +43.38473,  3194813.49, -2112565.77,  5209828.58,      53.858355,       +1.192012,  101950.89,  150571.91,   13628.47,            13680.36,   -26.55,  66594.97,           67366.47,     -3.90,     -3.78,           7.44,  +1.84,  +0.95
  6,     UK002K,       0,  0.239180, 2459443.499282223638,  38.80065,  43.48805,               70.50580,  42.33087,        70.50016,       42.33182,     38.80065,     +43.48805,      38.80430,      +43.49188,  3193561.81, -2114271.01,  5208266.19,      53.850940,       +1.160239,  100628.40,  148004.70,   16258.22,            16310.11,   -86.39,  65981.38,           66937.07,      7.93,      7.69,          15.40,  +1.85,  +1.00
  7,     UK002K,       0,  0.279020, 2459443.499282684643,  38.49286,  43.60186,               70.57836,  42.57553,        70.57284,       42.57646,     38.49286,     +43.60186,      38.49658,      +43.60559,  3192269.43, -2116031.70,  5206653.00,      53.843272,       +1.127437,   99263.73,  145356.95,   18973.48,            19025.37,   -59.64,  68154.05,           66859.51,      7.59,      7.36,          15.00,  +4.12,  +3.31
  8,     UK002K,       0,  0.318860, 2459443.499283145647,  38.18387,  43.72266,               70.64323,  42.82510,        70.64706,       42.82446,     38.18387,     +43.72266,      38.18344,      +43.72007,  3191005.71, -2117753.36,  5205075.58,      53.835762,       +1.095356,   97930.11,  142770.49,   21628.54,            21680.44,   -93.09,  66643.28,           66808.90,     -5.15,     -4.99,          10.37,  +3.61,  +2.84

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.