Orbital Analysis for matched events on 20210816_205520.344_UK

Summary for Event
-----------------
shower ID 12 KCG
Lg 307.68° Bg 72.29° Vg 22.83km/s
mass 0.21896g, abs. mag -0.1
Path Details
------------
start 0.71° 52.40° 96.50km
end   0.69° 52.40° 85.86km

Orbit Details
-------------
Semimajor axis 3.59A.U., eccentricity 0.73, inclination 34.75°, Period 6.79Y, LA Sun 143.91°, last Perihelion 2014-11-21

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: 2459443.371763245203
Time: 2021-08-16 20:55:20.354484 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 5.65455 deg
 R.A. = 287.66790  Dec = +51.54401 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 5.65 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    687870.50 +/- 418.01 m
 Y =  -3898292.06 +/- 616.90 m
 Z =   5106939.48 +/- 163.42 m
 Vx =     4650.93 +/- 1824.43 m/s
 Vy =   -15213.60 +/- 350.47 m/s
 Vz =    19785.81 +/- 3194.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.347513e+04, -1.412145e+05, +3.558199e+04, +2.373287e+05, -3.972832e+05, +1.705368e+05
-1.412145e+05, +2.172886e+05, -5.646087e+04, -3.475883e+05, +5.931051e+05, -2.537760e+05
+3.558199e+04, -5.646087e+04, +1.883708e+04, +9.004058e+04, -1.549777e+05, +6.981620e+04
+2.373287e+05, -3.475883e+05, +9.004058e+04, +1.036506e+06, -1.630402e+06, +6.224828e+05
-3.972832e+05, +5.931051e+05, -1.549777e+05, -1.630402e+06, +2.609741e+06, -1.005944e+06
+1.705368e+05, -2.537760e+05, +6.981620e+04, +6.224828e+05, -1.005944e+06, +4.267570e+05

Timing offsets (from input data):
    UK002K: -0.010102 s
    UK0032: 0.000747 s

Reference point on the trajectory:
  Time: 2021-08-16 20:55:20.354484 UTC
  Lon     = ++0.706016 +/- 0.0044 deg
  Lat     = +52.403253 +/- 0.0040 deg
  Lat geo = +52.219847 +/- 0.0040 deg
  Ht      =   96676.98 +/- 533.36 m

  JD dynamic   = 2459443.372564102989 
  LST apparent = 280.0070761800 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 286.99885 +/- 3.7417 deg
  Dec       = +51.19924 +/- 4.3287 deg
  Azimuth   = 102.79359 +/- 47.3017 deg
  Elevation = +85.51388 +/- 2.4242 deg
  Vavg      =  24.16641 +/- 2.0021 km/s
  Vinit     =  25.38825 +/- 2.5920 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 288.02835 +/- 3.7417 deg
  Dec       = +51.13297 +/- 4.3287 deg
  Azimuth   = 101.17871 +/- 47.3017 deg
  Elevation = +84.87911 +/- 2.4242 deg
  Vavg      =  24.19006 +/- 2.0021 km/s
  Vinit     =  25.41189 +/- 2.5920 km/s
Radiant (geocentric, J2000):
  R.A.   = 287.22618 +/- 3.8757 deg
  Dec    = +51.09784 +/- 4.6015 deg
  Vg     =  22.82956 +/- 2.8975 km/s
  Vinf   =  25.38825 +/- 2.5920 km/s
  Zc     =   4.44909 +/- 2.3738 deg
  Zg     =   4.68530 +/- 2.4713 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 307.68046 +/- 1.5540 deg
  Bg     = +72.28681 +/- 5.1326 deg
  Vh     =  38.79311 +/- 2.2397 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 246.50593 +/- 4.3244 deg
  Bh     = +34.09712 +/- 1.7877 deg
  Vh_x   =  12.80642 +/- 1.7255 km/s
  Vh_y   =  29.46108 +/- 2.1216 km/s
  Vh_z   = -21.74732 +/- 2.2055 km/s
Orbit:
  La Sun = 143.908045 +/- -0.0000 deg
  a      =   3.585128 +/- 8.7895 AU
  e      =   0.728531 +/- 0.1954
  i      =  34.747656 +/- 2.1964 deg
  peri   = 204.758590 +/- 4.7630 deg
  node   = 143.913218 +/- 0.0005 deg
  Pi     = 348.671808 +/- 4.7625 deg
  q      =   0.973253 +/- 0.0184 AU
  f      = 335.234722 +/- 4.7626 deg
  M      = 357.263883 +/- nan deg
  Q      =   6.197003 +/- 17.5771 AU
  n      =   0.145194 +/- 0.1401 deg/day
  T      =   6.788247 +/- 304543472.1924 years
  Last perihelion JD = 2456982.766895 (2014-11-21 06:24:19.690976) +/- 14530.3365 days
  Tj     =   2.385954 +/- 0.9991
Shower association:
  IAU No.  =   12
  IAU code =  KCG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.482551e-02, -1.228104e-03, -9.253674e+02, -6.150896e-07, +4.917513e-03, +2.960999e-03
q   , -1.228104e-03, +1.066477e-04, +7.281972e+01, +5.094029e-08, -4.387686e-04, -2.440632e-04
Tp  , -9.253674e+02, +7.281972e+01, +2.163967e+08, +3.750930e-02, -2.460094e+02, -1.896368e+02
node, -6.150896e-07, +5.094029e-08, +3.750930e-02, +2.652073e-11, -2.097902e-07, -1.268736e-07
peri, +4.917513e-03, -4.387686e-04, -2.460094e+02, -2.097902e-07, +1.908247e-03, +9.911914e-04
i   , +2.960999e-03, -2.440632e-04, -1.896368e+02, -1.268736e-07, +9.911914e-04, +6.090752e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 9.587311
 a2 = 9.011582

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 8.689e-06 s
  Stddev    = 2.95e-03 s

Begin point on the trajectory:
  Lon =     0.705815 +/- 0.0044 deg
  Lat =    52.403281 +/- 0.0040 deg
  Ht  = 96495.81 +/- 535.79 m
End point on the trajectory:
  Lon =     0.692174 +/- 0.0043 deg
  Lat =    52.404919 +/- 0.0037 deg
  Ht  = 85855.39 +/- 549.65 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,  23.599877,   4.485606,    96495.81,    87644.39,          0.018490,     56.15,      2.20,              51.30, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_205515_247_0073472.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  11.860915,   8.556330,    96344.56,    85855.39,          0.020921,     44.32,      0.01,              34.86, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_205516_144_0079104.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,     UK002K,       0,  0.000000, 2459443.371763362084, 304.24681,   0.13001,              149.47621,  32.61466,       149.48066,       32.61493,    304.24681,      +0.13001,     304.24316,       +0.12914,   687837.21, -3898183.16,  5106797.85,      52.403281,       +0.705815,   96495.81,  175824.30,       0.00,              181.73,   190.10,      0.00,           25041.27,     -0.45,     11.53,          13.54,  +3.10,  +1.87
  1,     UK002K,       0,  0.040128, 2459443.371763826348, 304.31214,  -0.00378,              149.45024,  32.46739,       149.49705,       32.47023,    304.31214,      -0.00378,     304.27382,       -0.01299,   687734.70, -3897847.87,  5106361.79,      52.403367,       +0.705030,   95937.98,  175484.27,     559.54,              741.27,  -269.14,  13943.82,           25041.27,     -4.73,    121.16,         142.52,  +4.55,  +3.33
  2,     UK002K,       0,  0.080380, 2459443.371764292009, 304.32705,  -0.35085,              149.55727,  32.13198,       149.53003,       32.13032,    304.32705,      -0.35085,     304.34989,       -0.34549,   687496.43, -3897068.45,  5105348.13,      52.403566,       +0.703425,   94641.25,  174704.55,    1860.22,             2041.95,     9.62,  32313.56,           25041.27,      2.79,    -70.48,          83.27,  +2.32,  +1.11
  3,     UK002K,       0,  0.120612, 2459443.371764757670, 304.41101,  -0.61931,              149.55818,  31.85070,       149.55771,       31.85068,    304.41101,      -0.61931,     304.41192,       -0.61921,   687301.85, -3896431.97,  5104520.36,      52.403729,       +0.702083,   93582.32,  174071.56,    2922.37,             3104.10,    50.34,  26400.57,           25041.27,      0.05,     -1.22,           1.44,  +1.81,  +0.61
  4,     UK002K,       0,  0.160808, 2459443.371765222866, 304.45735,  -0.87003,              149.59495,  31.59766,       149.58307,       31.59694,    304.45735,      -0.87003,     304.46789,       -0.86767,   687126.45, -3895858.21,  5103774.17,      52.403876,       +0.700857,   92627.72,  173504.08,    3879.85,             4061.58,   -12.68,  23820.38,           25175.43,      1.21,    -30.69,          36.51,  +1.85,  +0.65
  5,     UK002K,       0,  0.201040, 2459443.371765688527, 304.55040,  -1.13266,              149.58357,  31.31920,       149.61020,       31.32082,    304.55040,      -1.13266,     304.52907,       -1.13796,   686936.92, -3895238.25,  5102967.89,      52.404035,       +0.699545,   91596.24,  172895.15,    4914.44,             5096.17,     0.48,  25715.40,           25290.95,     -2.70,     68.76,          82.09,  +1.40,  +0.21
  6,     UK002K,       0,  0.241236, 2459443.371766154189, 304.56956,  -1.39753,              149.65530,  31.06083,       149.63595,       31.05965,    304.56956,      -1.39753,     304.58675,       -1.39368,   686758.83, -3894655.70,  5102210.26,      52.404184,       +0.698302,   90626.99,  172326.39,    5886.58,             6068.31,   -47.88,  24185.16,           25213.76,      1.98,    -49.94,          59.83,  +1.59,  +0.41
  7,     UK002K,       0,  0.281436, 2459443.371766619384, 304.64086,  -1.62981,              149.65737,  30.81787,       149.65996,       30.81803,    304.64086,      -1.62981,     304.63987,       -1.63033,   686595.06, -3894119.99,  5101513.55,      52.404321,       +0.697145,   89735.65,  171806.15,    6780.57,             6962.30,  -174.49,  22238.50,           24933.75,     -0.26,      6.69,           8.04,  +1.68,  +0.50
  8,     UK002K,       0,  0.321636, 2459443.371767084580, 304.70657,  -1.86880,              149.66798,  30.57019,       149.68431,       30.57118,    304.70657,      -1.86880,     304.69421,       -1.87207,   686428.78, -3893576.06,  5100806.16,      52.404461,       +0.695973,   88830.62,  171281.18,    7688.27,             7870.00,  -287.40,  22579.59,           24646.18,     -1.66,     42.11,          50.75,  +1.66,  +0.49
  9,     UK002K,       0,  0.361900, 2459443.371767550707, 304.77922,  -2.18787,              149.69873,  30.24403,       149.71504,       30.24503,    304.77922,      -2.18787,     304.76699,       -2.19115,   686210.82, -3892863.12,  5099878.95,      52.404644,       +0.694487,   87644.39,  170599.48,    8878.02,             9059.75,  -119.88,  29548.82,           24767.54,     -1.66,     42.04,          50.87,  +1.30,  +0.14
 10,     UK002K,       1,  0.402108, 2459443.371768015902, 304.75238,  -2.51072,              149.84005,  29.94404,       149.74403,       29.93814,    304.75238,      -2.51072,     304.83530,       -2.49145,   686007.28, -3892197.30,  5099013.03,      52.404814,       +0.693089,   86536.54,  169967.57,    9989.13,            10170.86,   -29.58,  27634.00,           24964.01,      9.95,   -247.23,         300.27,  +5.13,  +3.98
  0,     UK0032,       0,  0.008806, 2459443.371763338335, 303.91528,  17.09126,              142.36590,  49.26419,       142.36812,       49.26431,    303.91528,     +17.09126,     303.91383,      +17.09082,   687809.41, -3898092.25,  5106679.62,      52.403304,       +0.705656,   96344.56,  126446.85,       0.00,              333.44,   118.24,      0.00,           24708.02,      0.00,      3.20,           5.22,  +2.49,  +1.98
  1,     UK0032,       0,  0.048946, 2459443.371763803065, 303.95984,  16.85804,              142.44267,  49.03249,       142.40509,       49.03040,    303.95984,     +16.85804,     303.98462,      +16.86556,   687649.74, -3897569.95,  5106000.35,      52.403438,       +0.704526,   95475.61,  125744.33,     871.61,             1205.05,   -29.23,  21714.22,           24708.02,     -0.01,    -54.26,          89.01,  +1.74,  +1.24
  2,     UK0032,       0,  0.089138, 2459443.371764268260, 304.04999,  16.58439,              142.48077,  48.74664,       142.44837,       48.74484,    304.04999,     +16.58439,     304.07164,      +16.59091,   687457.55, -3896941.26,  5105182.71,      52.403599,       +0.703199,   94429.65,  124902.45,    1920.77,             2254.20,    -0.48,  26103.61,           24708.02,     -0.01,    -46.74,          77.19,  +1.27,  +0.79
  3,     UK0032,       0,  0.129326, 2459443.371764733456, 304.13435,  16.30814,              142.52733,  48.46044,       142.49135,       48.45844,    304.13435,     +16.30814,     304.15862,      +16.31540,   687267.34, -3896319.07,  5104373.53,      52.403758,       +0.701884,   93394.48,  124072.34,    2959.07,             3292.51,    17.52,  25836.24,           24708.02,     -0.00,    -51.86,          86.21,  +1.38,  +0.91
  4,     UK0032,       0,  0.169514, 2459443.371765198186, 304.23545,  16.05701,              142.53636,  48.19126,       142.53157,       48.19099,    304.23545,     +16.05701,     304.23930,      +16.05799,   687091.87, -3895745.10,  5103627.07,      52.403905,       +0.700657,   92439.54,  123309.04,    3916.89,             4250.33,   -44.96,  23833.51,           24692.41,     -0.00,     -6.90,          11.54,  +1.25,  +0.80
  5,     UK0032,       0,  0.209678, 2459443.371765663382, 304.29976,  15.79783,              142.59837,  47.92804,       142.57109,       47.92652,    304.29976,     +15.79783,     304.31877,      +15.80338,   686920.44, -3895184.32,  5102897.76,      52.404049,       +0.699455,   91506.51,  122565.79,    4852.72,             5186.15,  -128.83,  23300.03,           24489.12,     -0.00,    -39.24,          66.04,  +1.16,  +0.72
  6,     UK0032,       0,  0.249874, 2459443.371766128577, 304.39271,  15.52259,              142.63066,  47.63943,       142.61316,       47.63846,    304.39271,     +15.52259,     304.40542,      +15.52616,   686736.16, -3894581.55,  5102113.83,      52.404203,       +0.698174,   90503.61,  121770.21,    5858.62,             6192.05,  -143.43,  25024.88,           24473.93,     -0.00,    -25.14,          42.58,  +1.08,  +0.65
  7,     UK0032,       0,  0.290066, 2459443.371766593773, 304.47547,  15.23593,              142.68204,  47.34390,       142.65581,       47.34245,    304.47547,     +15.23593,     304.49427,      +15.24131,   686549.31, -3893970.34,  5101318.93,      52.404360,       +0.696878,   89486.66,  120966.76,    6878.59,             7212.03,  -143.86,  25377.67,           24542.94,      0.00,    -37.65,          64.19,  +1.07,  +0.66
  8,     UK0032,       0,  0.330242, 2459443.371767058503, 304.54009,  14.96564,              142.74730,  47.07007,       142.69559,       47.06720,    304.54009,     +14.96564,     304.57632,      +14.97627,   686377.64, -3893408.80,  5100588.63,      52.404504,       +0.695673,   88552.33,  120231.13,    7815.68,             8149.12,  -226.77,  23324.59,           24493.93,      0.02,    -74.15,         127.21,  +1.02,  +0.62
  9,     UK0032,       0,  0.370446, 2459443.371767524164, 304.65023,  14.69463,              142.75249,  46.77892,       142.73669,       46.77805,    304.65023,     +14.69463,     304.66244,      +14.69790,   686199.60, -3892826.40,  5099831.20,      52.404653,       +0.694429,   87583.28,  119471.32,    8787.58,             9121.02,  -275.58,  24174.10,           24451.52,      0.00,    -22.64,          39.08,  +1.27,  +0.88
 10,     UK0032,       0,  0.410638, 2459443.371767989360, 304.73936,  14.42099,              142.78607,  46.49293,       142.77702,       46.49243,    304.73936,     +14.42099,     304.74720,      +14.42286,   686025.89, -3892258.20,  5099092.23,      52.404799,       +0.693211,   86637.83,  118732.91,    9735.79,            10069.23,  -347.78,  23592.06,           24389.32,      0.00,    -12.95,          22.50,  +1.52,  +1.15
 11,     UK0032,       0,  0.450822, 2459443.371768454090, 304.85200,  14.20398,              142.75771,  46.25081,       142.81156,       46.25378,    304.85200,     +14.20398,     304.81710,      +14.19274,   685882.15, -3891787.99,  5098480.70,      52.404919,       +0.692174,   85855.39,  118123.28,   10520.48,            10853.91,  -583.29,  19527.32,           24166.43,      0.03,     77.01,         134.47,  +3.17,  +2.81

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.