Orbital Analysis for matched events on 20210810_023928.863_UK

Summary for Event
-----------------
shower ID 164 NZC
Lg 343.50° Bg 13.02° Vg 35.90km/s
mass 0.04873g, abs. mag 0.1
Path Details
------------
start -1.83° 52.29° 92.74km
end   -1.79° 52.36° 85.56km

Orbit Details
-------------
Semimajor axis 1.83A.U., eccentricity 0.91, inclination 29.98°, Period 2.48Y, LA Sun 137.42°, last Perihelion 2019-03-24

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: 2459436.610750735737
Time: 2021-08-10 02:39:28.863568 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 24.95903 deg
 R.A. = 340.55393  Dec =  +6.02925 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 24.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3960007.09 +/- 40.08 m
 Y =   -218595.38 +/- 22.84 m
 Z =   5096190.93 +/- 76.75 m
 Vx =    35145.25 +/- 145.19 m/s
 Vy =   -12544.04 +/- 62.68 m/s
 Vz =     4430.87 +/- 424.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.670746e+03, -6.066973e+02, -1.037420e+03, +1.592817e+03, -7.570206e+02, -5.322200e+03
-6.066973e+02, +5.558974e+02, +1.233515e+03, -1.073515e+03, +1.927165e+03, +4.649761e+03
-1.037420e+03, +1.233515e+03, +5.811792e+03, -6.970728e+03, +6.175529e+03, +2.319215e+04
+1.592817e+03, -1.073515e+03, -6.970728e+03, +1.608998e+04, -8.938713e+03, -4.641656e+04
-7.570206e+02, +1.927165e+03, +6.175529e+03, -8.938713e+03, +1.698554e+04, +4.004794e+04
-5.322200e+03, +4.649761e+03, +2.319215e+04, -4.641656e+04, +4.004794e+04, +1.531559e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: 0.000236 s

Reference point on the trajectory:
  Time: 2021-08-10 02:39:28.863568 UTC
  Lon     = +-1.832185 +/- 0.0003 deg
  Lat     = +52.292387 +/- 0.0006 deg
  Lat geo = +52.108686 +/- 0.0006 deg
  Ht      =   92757.33 +/- 58.91 m

  JD dynamic   = 2459436.611551476642 
  LST apparent = 356.8404362696 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 340.35750 +/- 0.1504 deg
  Dec       =  +6.77141 +/- 0.6303 deg
  Azimuth   = 202.46981 +/- 0.2093 deg
  Elevation = +42.50759 +/- 0.6284 deg
  Vavg      =  36.93502 +/- 0.1320 km/s
  Vinit     =  37.57891 +/- 0.1116 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 340.78423 +/- 0.1504 deg
  Dec       =  +6.78601 +/- 0.6303 deg
  Azimuth   = 201.91487 +/- 0.2093 deg
  Elevation = +42.62038 +/- 0.6284 deg
  Vavg      =  36.85457 +/- 0.1320 km/s
  Vinit     =  37.49845 +/- 0.1116 km/s
Radiant (geocentric, J2000):
  R.A.   = 339.81128 +/- 0.1529 deg
  Dec    =  +5.54304 +/- 0.6405 deg
  Vg     =  35.89883 +/- 0.1168 km/s
  Vinf   =  37.57891 +/- 0.1116 km/s
  Zc     =  47.32269 +/- 0.6282 deg
  Zg     =  48.47071 +/- 0.6384 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 343.49864 +/- 0.3402 deg
  Bg     = +13.01766 +/- 0.5685 deg
  Vh     =  35.58962 +/- 0.2000 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 293.56839 +/- 0.1147 deg
  Bh     = +13.13459 +/- 0.5969 deg
  Vh_x   = -13.85800 +/- 0.1329 km/s
  Vh_y   =  31.76747 +/- 0.2499 km/s
  Vh_z   =  -8.08736 +/- 0.3230 km/s
Orbit:
  La Sun = 137.415392 +/- 0.0000 deg
  a      =   1.834380 +/- 0.0591 AU
  e      =   0.913626 +/- 0.0034
  i      =  29.984698 +/- 1.1473 deg
  peri   = 320.093527 +/- 0.2886 deg
  node   = 137.422711 +/- 0.0003 deg
  Pi     =  97.516238 +/- 0.2886 deg
  q      =   0.158443 +/- 0.0024 AU
  f      = 219.899771 +/- 0.2886 deg
  M      = 344.960532 +/- 0.7298 deg
  Q      =   3.510316 +/- 0.1196 AU
  n      =   0.396708 +/- 0.0173 deg/day
  T      =   2.484474 +/- 0.1227 years
  Last perihelion JD = 2458567.052363 (2019-03-24 13:15:24.182220) +/- 45.0355 days
  Tj     =   3.255204 +/- 0.0809
Shower association:
  IAU No.  =  164
  IAU code =  NZC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.093455e-05, -5.217869e-06, -1.415099e-01, +1.611793e-08, -3.362476e-07, -6.476583e-05
q   , -5.217869e-06, +5.116374e-06, +4.367214e-02, -6.889015e-09, -8.189711e-06, +2.779824e-05
Tp  , -1.415099e-01, +4.367214e-02, +2.050423e+03, -2.161110e-04, +8.018529e-02, +8.664908e-01
node, +1.611793e-08, -6.889015e-09, -2.161110e-04, +2.425048e-11, -3.046415e-09, -9.727629e-08
peri, -3.362476e-07, -8.189711e-06, +8.018529e-02, -3.046415e-09, +2.655824e-05, +1.187228e-05
i   , -6.476583e-05, +2.779824e-05, +8.664908e-01, -9.727629e-08, +1.187228e-05, +3.905264e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.420780
 a2 = 14.556000

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 6.498e-07 s
  Stddev    = 8.06e-04 s

Begin point on the trajectory:
  Lon =    -1.832076 +/- 0.0003 deg
  Lat =    52.292548 +/- 0.0006 deg
  Ht  = 92739.33 +/- 45.68 m
End point on the trajectory:
  Lon =    -1.789906 +/- 0.0004 deg
  Lat =    52.356747 +/- 0.0006 deg
  Ht  = 85562.02 +/- 32.62 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   4.233620,  11.992885,    92739.33,    85679.72,          0.015809,     34.32,     38.38,             104.11, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_023921_389_0570112.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   1.540786,  16.548113,    92589.98,    85562.02,          0.009331,     30.15,     13.20,             109.39, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_023920_079_0566784.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,     UK000S,       0,  0.000000, 2459436.610750735737, 180.05837,  68.35141,              358.66299,  29.23219,       358.68178,       29.23747,    180.05837,     +68.35141,     180.01451,      +68.35734,  3959982.17,  -218586.49,  5096187.79,      52.292548,       -1.832076,   92739.33,  185671.02,       0.00,               26.64,    29.80,      0.00,           37491.28,    -41.58,    -37.22,          61.99,  +2.75,  +1.41
  1,     UK000S,       0,  0.040352, 2459436.610751202796, 179.62163,  67.94102,              358.83137,  28.81605,       358.83237,       28.81633,    179.62163,     +67.94102,     179.61947,      +67.94133,  3958600.37,  -218093.30,  5096013.58,      52.301465,       -1.826229,   91741.09,  186024.43,    1477.48,             1504.12,    -9.10,  36614.76,           37491.28,     -2.23,     -2.00,           3.32,  +1.68,  +0.33
  2,     UK000S,       0,  0.080728, 2459436.610751670320, 179.26728,  67.50273,              358.96832,  28.37368,       358.98755,       28.37909,    179.26728,     +67.50273,     179.22380,      +67.50863,  3957160.66,  -217579.43,  5095832.07,      52.310758,       -1.820125,   90701.19,  186404.33,    3016.89,             3043.54,    13.03,  38126.96,           37491.28,    -43.07,    -38.54,          63.95,  +1.41,  +0.06
  3,     UK000S,       0,  0.121100, 2459436.610752137378, 178.93753,  67.07184,              359.09919,  27.93945,       359.13832,       27.95045,    178.93753,     +67.07184,     178.84999,      +67.08370,  3955744.01,  -217073.81,  5095653.47,      52.319905,       -1.814117,   89678.13,  186789.71,    4531.63,             4558.28,    10.63,  37519.59,           37491.28,    -88.17,    -78.83,         130.60,  +1.07,  -0.29
  4,     UK000S,       0,  0.161448, 2459436.610752604436, 178.50642,  66.66316,              359.27998,  27.52703,       359.28545,       27.52856,    178.50642,     +66.66316,     178.49491,      +66.66479,  3954344.40,  -216574.26,  5095477.02,      52.328944,       -1.808179,   88667.55,  187181.65,    6028.16,             6054.81,    -9.07,  37090.56,           37435.19,    -12.39,    -11.09,          18.32,  +1.03,  -0.33
  5,     UK000S,       0,  0.201768, 2459436.610753071029, 178.17666,  66.28488,              359.42049,  27.14645,       359.41762,       27.14564,    178.17666,     +66.28488,     178.18380,      +66.28404,  3953069.34,  -216119.16,  5095316.26,      52.337181,       -1.802780,   87747.05,  187548.35,    7391.51,             7418.15,  -160.91,  33813.21,           36902.34,      6.53,      5.84,           9.63,  +1.22,  -0.15
  6,     UK000S,       0,  0.242160, 2459436.610753538553, 177.81078,  65.82181,              359.57997,  26.68140,       359.57768,       26.68076,    177.81078,     +65.82181,     177.81674,      +65.82115,  3951515.08,  -215564.42,  5095120.31,      52.347224,       -1.796157,   86625.19,  188007.68,    9053.40,             9080.04,   -16.91,  41143.96,           37166.78,      5.23,      4.68,           7.70,  +1.39,  +0.02
  7,     UK000S,       0,  0.282488, 2459436.610754005611, 177.50589,  65.43384,              359.71645,  26.29227,       359.71036,       26.29056,    177.50589,     +65.43384,     177.52015,      +65.43209,  3950204.98,  -215096.82,  5094955.15,      52.355692,       -1.790597,   85679.72,  188405.31,   10454.21,            10480.86,  -131.57,  34735.53,           37074.50,     14.02,     12.55,          20.60,  +2.51,  +1.13
  0,     UK001Z,       0,  0.006132, 2459436.610750800930, 126.87597,  59.00009,               25.75534,  26.81620,        25.75658,       26.81613,    126.87597,     +59.00009,     126.87422,      +58.99945,  3959775.45,  -218512.71,  5096161.73,      52.293882,       -1.831200,   92589.98,  199618.66,       0.00,              247.67,    20.39,      0.00,           37602.00,     -1.54,     -3.53,           3.98,  +3.66,  +2.16
  1,     UK001Z,       0,  0.046472, 2459436.610751267988, 127.31829,  58.67274,               25.73209,  26.41731,        25.72798,       26.41752,    127.31829,     +58.67274,     127.32427,      +58.67486,  3958393.83,  -218019.58,  5095987.54,      52.302798,       -1.825353,   91591.89,  200099.79,    1477.30,             1724.97,   -18.24,  36621.17,           37602.00,      5.17,     11.81,          13.29,  +1.86,  +0.35
  2,     UK001Z,       0,  0.086824, 2459436.610751735047, 127.79295,  58.33885,               25.69171,  26.00299,        25.69858,       26.00264,    127.79295,     +58.33885,     127.78360,      +58.33533,  3956948.83,  -217503.83,  5095805.36,      52.312125,       -1.819225,   90548.21,  200613.55,    3022.36,             3270.03,    10.43,  38289.52,           37602.00,     -8.68,    -19.82,          22.25,  +1.64,  +0.13
  3,     UK001Z,       0,  0.127164, 2459436.610752201639, 128.21804,  57.99944,               25.67426,  25.59652,        25.66997,       25.59674,    128.21804,     +57.99944,     128.22459,      +58.00162,  3955527.79,  -216996.63,  5095626.21,      52.321301,       -1.813197,   89522.00,  201128.97,    4541.80,             4789.47,    13.94,  37665.83,           37602.00,      5.45,     12.45,          13.94,  +1.61,  +0.09
  4,     UK001Z,       0,  0.167496, 2459436.610752668697, 128.64838,  57.67893,               25.63873,  25.20388,        25.64236,       25.20370,    128.64838,     +57.67893,     128.64395,      +57.67709,  3954144.68,  -216502.97,  5095451.84,      52.330234,       -1.807330,   88523.36,  201640.17,    6020.68,             6268.35,   -22.81,  36667.79,           37444.52,     -4.64,    -10.59,          11.83,  +1.42,  -0.10
  5,     UK001Z,       0,  0.207820, 2459436.610753135290, 129.01452,  57.34502,               25.63914,  24.81637,        25.61537,       24.81757,    129.01452,     +57.34502,     129.04873,      +57.35697,  3952778.96,  -216015.52,  5095279.66,      52.339057,       -1.801534,   87537.44,  202154.19,    7480.97,             7728.64,   -77.86,  36213.83,           37223.79,     30.56,     69.84,          77.79,  +1.66,  +0.13
  6,     UK001Z,       0,  0.248156, 2459436.610753602348, 129.43774,  57.01973,               25.60128,  24.41983,        25.58791,       24.42050,    129.43774,     +57.01973,     129.45750,      +57.02641,  3951367.32,  -215511.68,  5095101.69,      52.348179,       -1.795534,   86518.54,  202695.29,    8990.36,             9238.04,   -84.24,  37420.56,           37166.02,     17.31,     39.52,          43.90,  +1.87,  +0.34
  7,     UK001Z,       0,  0.288468, 2459436.610754068475, 129.83409,  56.71739,               25.56062,  24.04974,        25.56222,       24.04966,    129.83409,     +56.71739,     129.83303,      +56.71659,  3950041.88,  -215038.60,  5094934.58,      52.356747,       -1.789906,   85562.02,  203211.91,   10407.59,            10655.26,  -181.90,  35156.31,           36974.58,     -2.08,     -4.76,           5.27,  +3.55,  +2.01

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.