Orbital Analysis for matched events on 20210813_013052.968_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 58.10° Bg 19.24° Vg 65.78km/s
mass 0.00848g, abs. mag 0.2
Path Details
------------
start -3.77° 52.51° 111.83km
end   -3.92° 52.49° 103.02km

Orbit Details
-------------
Semimajor axis 4.86A.U., eccentricity 0.80, inclination 145.99°, Period 10.73Y, LA Sun 140.25°, last Perihelion 2021-07-24

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: 2459439.563113065902
Time: 2021-08-13 01:30:52.968894 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002Z
 Convergence angle = 10.64239 deg
 R.A. =  49.19968  Dec = +39.04382 deg

Best intersection: Stations UK002H and UK002Z with Qconv = 10.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3734839.90 +/- 396.89 m
 Y =  -1310890.95 +/- 487.51 m
 Z =   5126367.98 +/- 120.71 m
 Vx =    33144.89 +/- 4453.77 m/s
 Vy =    40140.03 +/- 4629.58 m/s
 Vz =    41719.97 +/- 3162.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.648452e+04, -4.059972e+04, +3.185014e+03, -6.217202e+04, +1.455421e+05, -8.461847e+03
-4.059972e+04, +6.325102e+04, -4.675940e+03, +1.045531e+05, -2.347296e+05, +1.058307e+04
+3.185014e+03, -4.675940e+03, +4.251369e+02, -5.591935e+03, +1.513411e+04, -1.504552e+03
-6.217202e+04, +1.045531e+05, -5.591935e+03, +2.303153e+05, -4.476834e+05, -1.931698e+03
+1.455421e+05, -2.347296e+05, +1.513411e+04, -4.476834e+05, +9.330503e+05, -1.910994e+04
-8.461847e+03, +1.058307e+04, -1.504552e+03, -1.931698e+03, -1.910994e+04, +8.334361e+03

Timing offsets (from input data):
    UK002H: 0.000000 s
    UK002Z: 0.000598 s

Reference point on the trajectory:
  Time: 2021-08-13 01:30:52.968894 UTC
  Lon     = +-3.773530 +/- 0.0048 deg
  Lat     = +52.510043 +/- 0.0031 deg
  Lat geo = +52.327247 +/- 0.0031 deg
  Ht      =  111889.81 +/- 419.86 m

  JD dynamic   = 2459439.563913806807 
  LST apparent = 340.6594437250 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.45243 +/- 4.2055 deg
  Dec       = +38.71033 +/- 1.3295 deg
  Azimuth   =  77.17118 +/- 1.6907 deg
  Elevation = +41.31969 +/- 3.3640 deg
  Vavg      =  65.84780 +/- 1.8383 km/s
  Vinit     =  66.71104 +/- 3.0555 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.56160 +/- 4.2055 deg
  Dec       = +38.56525 +/- 1.3295 deg
  Azimuth   =  77.24406 +/- 1.6907 deg
  Elevation = +41.16058 +/- 3.3640 deg
  Vavg      =  66.05945 +/- 1.8383 km/s
  Vinit     =  66.92269 +/- 3.0555 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.45631 +/- 4.1878 deg
  Dec    = +38.39838 +/- 1.3255 deg
  Vg     =  65.78204 +/- 3.0921 km/s
  Vinf   =  66.71104 +/- 3.0555 km/s
  Zc     =  48.72114 +/- 3.3691 deg
  Zg     =  49.08494 +/- 3.3641 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  58.09757 +/- 3.1523 deg
  Bg     = +19.23827 +/- 2.0039 deg
  Vh     =  39.60673 +/- 3.1895 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  64.51716 +/- 4.3920 deg
  Bh     = +33.17967 +/- 4.0791 deg
  Vh_x   = -14.26214 +/- 1.9028 km/s
  Vh_y   = -29.92425 +/- 4.8903 km/s
  Vh_z   = -21.67543 +/- 1.6208 km/s
Orbit:
  La Sun = 140.249101 +/- nan deg
  a      =   4.863318 +/- 173.3045 AU
  e      =   0.801624 +/- 0.2736
  i      = 145.992505 +/- 3.5690 deg
  peri   = 153.184918 +/- 4.5813 deg
  node   = 140.245123 +/- 0.0011 deg
  Pi     = 293.430041 +/- 4.5823 deg
  q      =   0.964763 +/- 0.0391 AU
  f      =  26.808909 +/- 4.5803 deg
  M      =   1.823978 +/- nan deg
  Q      =   8.761872 +/- 346.6170 AU
  n      =   0.091898 +/- 0.2833 deg/day
  T      =  10.725057 +/- 304543473.8755 years
  Last perihelion JD = 2459419.716019 (2021-07-24 05:11:04.076798) +/- 1.0498 days
  Tj     =   0.111967 +/- 1.7792
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.776135e-04, -2.694741e-04, -3.620379e-02, -7.612594e-08, -1.088259e-03, +3.809026e-04
q   , -2.694741e-04, +9.354420e-05, +1.255787e-02, +2.606560e-08, +3.775558e-04, -1.304376e-04
Tp  , -3.620379e-02, +1.255787e-02, +1.686428e+00, +3.521077e-06, +5.069835e-02, -1.761920e-02
node, -7.612594e-08, +2.606560e-08, +3.521077e-06, +8.070411e-12, +1.056931e-07, -4.034935e-08
peri, -1.088259e-03, +3.775558e-04, +5.069835e-02, +1.056931e-07, +1.524157e-03, -5.288877e-04
i   , +3.809026e-04, -1.304376e-04, -1.761920e-02, -4.034935e-08, -5.288877e-04, +2.017347e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.041707
 a2 = 43.164140

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 1.267e-05 s
  Stddev    = 3.56e-03 s

Begin point on the trajectory:
  Lon =    -3.774425 +/- 0.0048 deg
  Lat =    52.509918 +/- 0.0031 deg
  Ht  = 111834.03 +/- 415.34 m
End point on the trajectory:
  Lon =    -3.917046 +/- 0.0054 deg
  Lat =    52.490127 +/- 0.0024 deg
  Ht  = 103019.56 +/- 173.75 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   1.519589,  26.502864,   111834.03,   103270.95,          0.007827,     20.42,     12.73,              98.01, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_013048_358_0460544.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  93.162107,   0.000001,   110223.94,   103019.56,          0.022507,     84.38,     72.54,             117.91, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_013048_495_0472320.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,     UK002H,       0,  0.000000, 2459439.563113065902, 309.00455,   9.84662,              223.73195,  39.05080,       223.73596,       39.05227,    309.00455,      +9.84662,     309.00230,       +9.84926,  3734797.92, -1310941.78,  5126315.15,      52.509918,       -3.774425,  111834.03,  175216.27,       0.00,               84.48,   165.79,      0.00,           65160.42,      5.57,     -8.93,          12.39,  +3.93,  +2.71
  1,     UK002H,       0,  0.040460, 2459439.563113534357, 308.35560,   9.31836,              224.19174,  38.30268,       224.18857,       38.30152,    308.35560,      +9.31836,     308.35756,       +9.31626,  3733539.06, -1312466.32,  5124730.61,      52.506183,       -3.801457,  110161.38,  175356.34,    2533.72,             2618.20,     0.38,  62622.75,           65160.42,     -4.45,      7.13,           9.89,  +1.10,  -0.12
  2,     UK002H,       0,  0.080920, 2459439.563114002347, 307.72317,   8.78811,              224.62526,  37.55816,       224.62638,       37.55857,    307.72317,      +8.78811,     307.72287,       +8.78885,  3732293.88, -1313974.30,  5123163.27,      52.502480,       -3.828205,  108507.44,  175531.05,    5039.91,             5124.40,  -192.55,  61942.62,           65160.42,      1.58,     -2.54,           3.52,  +0.63,  -0.59
  3,     UK002H,       0,  0.121452, 2459439.563114471734, 306.98627,   8.17727,              225.12656,  36.69528,       225.12339,       36.69413,    306.98627,      +8.17727,     306.98860,       +8.17515,  3730844.48, -1315729.58,  5121338.90,      52.498159,       -3.859325,  106582.93,  175778.46,    7957.12,             8041.61,    20.73,  71972.96,           65160.42,     -4.52,      7.25,          10.03,  +0.47,  -0.75
  4,     UK002H,       0,  0.161944, 2459439.563114940189, 306.34052,   7.61568,              225.54534,  35.91387,       225.55902,       35.91882,    306.34052,      +7.61568,     306.33326,       +7.62492,  3729543.91, -1317304.64,  5119701.85,      52.494273,       -3.887277,  104856.65,  176042.20,   10574.80,            10659.28,   -62.86,  64646.71,           65632.38,     19.71,    -31.63,          43.67,  +0.76,  -0.47
  5,     UK002H,       0,  0.202368, 2459439.563115408178, 305.72427,   7.13053,              225.96641,  35.21275,       225.95089,       35.20713,    305.72427,      +7.13053,     305.73419,       +7.11999,  3728348.87, -1318751.89,  5118197.63,      52.490695,       -3.912982,  103270.95,  176319.19,   12980.06,            13064.55,  -354.32,  59500.90,           64892.66,    -22.58,     36.21,          49.92,  +1.76,  +0.53
  6,     UK002H,       1,  0.242700, 2459439.563115874771, 305.15225,   6.74725,              226.38784,  34.62120,       226.28757,       34.58507,    305.15225,      +6.74725,     305.21230,       +6.67885,  3727303.11, -1320018.36,  5116881.31,      52.487558,       -3.935505,  101883.71,  176589.09,   15084.88,            15169.37,  -940.09,  52187.43,           63272.54,   -147.23,    235.42,         324.33,  +4.89,  +3.66
  0,     UK002Z,       0,  0.044609, 2459439.563113574870, 286.78069,   3.76727,              244.80740,  21.93011,       244.78211,       21.92501,    286.78069,      +3.76727,     286.79793,       +3.75033,  3733586.16, -1312409.29,  5124789.88,      52.506323,       -3.800466,  110223.94,  281108.23,       0.00,             2523.42,  -371.17,      0.00,           69214.66,    -76.84,     89.28,          86.43,  +3.79,  +1.55
  1,     UK002Z,       0,  0.085105, 2459439.563114043791, 286.39400,   3.30859,              244.89118,  21.33573,       244.91940,       21.34144,    286.39400,      +3.30859,     286.37525,       +3.32757,  3732000.07, -1314330.11,  5122793.45,      52.501605,       -3.834493,  108117.27,  282379.92,    3192.32,             5715.74,   119.62,  78830.59,           69214.66,     86.41,   -100.55,          96.85,  +1.44,  -0.81
  2,     UK002Z,       0,  0.125513, 2459439.563114511315, 286.02502,   2.99554,              245.04278,  20.87343,       245.02951,       20.87075,    286.02502,      +2.99554,     286.03456,       +2.98660,  3730710.84, -1315891.44,  5121170.68,      52.497760,       -3.862194,  106405.52,  283437.78,    5787.18,             8310.60,    18.82,  64216.37,           69214.66,    -40.95,     47.59,          45.69,  +1.40,  -0.86
  3,     UK002Z,       0,  0.165917, 2459439.563114978839, 285.70297,   2.62009,              245.11567,  20.38376,       245.14145,       20.38896,    285.70297,      +2.62009,     285.68612,       +2.63752,  3729381.19, -1317501.70,  5119497.03,      52.493787,       -3.890767,  104640.70,  284549.31,    8463.38,            10986.79,    -0.38,  66235.95,           69214.66,     80.00,    -93.09,          88.98,  +1.62,  -0.65
  4,     UK002Z,       0,  0.206293, 2459439.563115446363, 285.38281,   2.30394,              245.22069,  19.94495,       245.24302,       19.94946,    285.38281,      +2.30394,     285.36842,       +2.31907,  3728159.38, -1318981.37,  5117959.12,      52.490127,       -3.917046,  103019.56,  285589.88,   10922.52,            13445.93,  -234.76,  60905.99,           67090.82,     69.75,    -81.14,          77.28,  +3.37,  +1.09

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.