Orbital Analysis for matched events on 20211103_032128.384_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 120.52° Bg 24.30° Vg 68.26km/s
mass 0.03116g, abs. mag -1.1
best visual mag 0.7
Path Details
------------
start -6.04° 50.57° 109.95km
end   -6.13° 50.57° 98.73km

Orbit Details
-------------
Semimajor axis -8.50A.U., eccentricity 1.11, inclination 138.01°, Period nanY, LA Sun 220.63°, 

Full details below
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Detailed report below graphs

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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: 2459521.639911860228
Time: 2021-11-03 03:21:28.384724 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001K and UK003H
 Convergence angle = 8.35404 deg
 R.A. = 122.61863  Dec = +43.73746 deg

Best intersection: Stations UK001K and UK003H with Qconv = 8.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    220745.08 +/- 378.30 m
 Y =   4122844.41 +/- 296.16 m
 Z =   4988453.89 +/- 59.26 m
 Vx =   -32086.87 +/- 3586.95 m/s
 Vy =    38412.22 +/- 2728.01 m/s
 Vz =    47727.26 +/- 960.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK001K: 0.000000 s
    UK003H: -0.000649 s

Reference point on the trajectory:
  Time: 2021-11-03 03:21:28.384724 UTC
  Lon     = +-6.043603 +/- 0.0050 deg
  Lat     = +50.572469 +/- 0.0019 deg
  Lat geo = +50.386762 +/- 0.0019 deg
  Ht      =  109959.21 +/- 235.95 m

  JD dynamic   = 2459521.640712601133 
  LST apparent = 86.9351993895 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 129.87301 +/- 5.2250 deg
  Dec       = +43.63881 +/- 0.4385 deg
  Azimuth   =  86.62857 +/- 6.0147 deg
  Elevation = +60.40637 +/- 3.1780 deg
  Vavg      =  63.58202 +/- 0.5220 km/s
  Vinit     =  69.15893 +/- 0.8369 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 130.12430 +/- 5.2250 deg
  Dec       = +43.52153 +/- 0.4385 deg
  Azimuth   =  86.65801 +/- 6.0147 deg
  Elevation = +60.19031 +/- 3.1780 deg
  Vavg      =  63.73094 +/- 0.5220 km/s
  Vinit     =  69.30785 +/- 0.8369 km/s
Radiant (geocentric, J2000):
  R.A.   = 129.74389 +/- 5.2604 deg
  Dec    = +43.62254 +/- 0.4417 deg
  Vg     =  68.26309 +/- 0.8474 km/s
  Vinf   =  69.15893 +/- 0.8369 km/s
  Zc     =  29.60508 +/- 3.1959 deg
  Zg     =  29.80249 +/- 3.2195 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 120.52012 +/- 4.0018 deg
  Bg     = +24.30465 +/- 0.9964 deg
  Vh     =  43.50590 +/- 1.5469 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 110.64123 +/- 6.1221 deg
  Bh     = +40.22620 +/- 2.4586 deg
  Vh_x   =  11.70942 +/- 3.8052 km/s
  Vh_y   = -31.08447 +/- 2.6778 km/s
  Vh_z   = -28.09641 +/- 0.8496 km/s
Orbit:
  La Sun = 220.626434 +/- -0.0000 deg
  a      =  -8.497303 +/- 1.6126 AU
  e      =   1.109195 +/- 0.0965
  i      = 138.010723 +/- 0.7214 deg
  peri   = 208.735639 +/- 8.0532 deg
  node   = 220.629102 +/- 0.0000 deg
  Pi     =  69.364741 +/- 8.0532 deg
  q      =   0.927865 +/- 0.0641 AU
  f      = 331.265762 +/- 8.0532 deg
  M      =        nan +/- nan deg
  Q      = -17.922471 +/- 3.2834 AU
  n      =   0.039791 +/- 0.1713 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.524047 +/- 0.8440
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.385638
 a2 = 29.818933

Mean time residuals from time vs. length:
  Station with reference time: UK001K
  Avg. res. = 2.057e-05 s
  Stddev    = 4.54e-03 s

Begin point on the trajectory:
  Lon =    -6.043690 +/- 0.0050 deg
  Lat =    50.572466 +/- 0.0019 deg
  Ht  = 109948.07 +/- 235.41 m
End point on the trajectory:
  Lon =    -6.132989 +/- 0.0060 deg
  Lat =    50.569114 +/- 0.0020 deg
  Ht  = 98727.16 +/- 244.13 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
    UK001K,   False,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   109948.07,    98727.16,          0.010834,     19.29,     39.21,              79.11, 1.0000,    True,    True, {"ff_name": "FF_UK001K_20211103_032122_262_0891904.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   109437.66,   100522.82,          0.022188,     64.96,     94.23,              87.14, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20211103_032120_349_0325632.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,     UK001K,       0,  0.000000, 2459521.639911860228,  38.36606,   5.23812,              240.79741,  27.46631,       240.80200,       27.46727,     38.36606,      +5.23812,      38.36316,       +5.24115,   220751.02,  4122837.29,  4988445.06,      50.572466,       -6.043690,  109948.07,  231269.99,       0.00,               12.81,   589.70,      0.00,           63494.48,    -15.15,     -7.46,          15.06,  +1.73,  -0.09
  1,     UK001K,       0,  0.040412, 2459521.639912327752,  37.98102,   4.87482,              240.93561,  26.95252,       240.93981,       26.95340,     37.98102,      +4.87482,      37.97853,       +4.87760,   221738.00,  4121655.74,  4986976.97,      50.571919,       -6.058417,  108098.33,  231195.17,    2127.31,             2140.12,   -77.84,  52640.66,           63494.48,    -13.89,     -6.84,          13.81,  +0.97,  -0.85
  2,     UK001K,       0,  0.080956, 2459521.639912797138,  37.48203,   4.39277,              241.10679,  26.27700,       241.11819,       26.27939,     37.48203,      +4.39277,      37.47510,       +4.40036,   223032.08,  4120106.56,  4985052.11,      50.571198,       -6.077686,  105673.31,  231124.04,    4916.52,             4929.33,   -92.61,  68794.66,           63494.48,    -37.99,    -18.69,          37.79,  +0.90,  -0.92
  3,     UK001K,       0,  0.121484, 2459521.639913266525,  36.98687,   3.92960,              241.28469,  25.61911,       241.29059,       25.62034,     36.98687,      +3.92960,      36.98359,       +3.93355,   224296.39,  4118593.02,  4983171.54,      50.570491,       -6.096528,  103304.34,  231087.37,    7641.56,             7654.37,  -170.44,  67238.43,           63494.48,    -19.78,     -9.73,          19.68,  +0.78,  -1.04
  4,     UK001K,       0,  0.162052, 2459521.639913735911,  36.43728,   3.43299,              241.49123,  24.90319,       241.47665,       24.90014,     36.43728,      +3.43299,      36.44736,       +3.42319,   225677.55,  4116939.59,  4981117.14,      50.569714,       -6.117112,  100716.73,  231083.32,   10618.47,            10631.28,     0.82,  73380.61,           66026.11,     49.10,     24.18,          48.85,  +0.79,  -1.03
  5,     UK001K,       0,  0.202512, 2459521.639914203901,  36.04712,   3.01708,              241.59867,  24.34178,       241.61862,       24.34596,     36.04712,      +3.01708,      36.03505,       +3.03055,   226739.60,  4115668.17,  4979537.40,      50.569114,       -6.132989,   98727.16,  231108.52,   12907.59,            12920.39,  -508.23,  56577.29,           65400.58,    -67.51,    -33.20,          67.14,  +0.73,  -1.09
  0,     UK003H,       0,  0.012476, 2459521.639911997132,  26.68432,   5.62327,              252.57045,  20.47314,       252.62069,       20.48000,     26.68432,      +5.62327,      26.65061,       +5.65694,   221023.35,  4122511.27,  4988039.97,      50.572315,       -6.047756,  109437.66,  295463.45,       0.00,              599.79,   313.86,      0.00,           68221.98,   -201.95,   -139.19,         171.23,  +3.06,  +0.71
  1,     UK003H,       0,  0.052904, 2459521.639912465122,  26.29664,   5.29673,              252.69157,  19.98055,       252.69856,       19.98151,     26.29664,      +5.29673,      26.29215,       +5.30143,   222233.21,  4121062.91,  4986240.39,      50.571644,       -6.065774,  107170.31,  295737.56,    2607.68,             3207.47,   125.58,  64501.92,           68221.98,    -28.20,    -19.46,          23.90,  +2.01,  -0.34
  2,     UK003H,       0,  0.093340, 2459521.639912933111,  25.93074,   4.93307,              252.77042,  19.47108,       252.77760,       19.47206,     25.93074,      +4.93307,      25.92627,       +4.93791,   223472.03,  4119579.89,  4984397.72,      50.570953,       -6.084231,  104848.94,  296041.61,    5277.79,             5877.58,    -0.82,  66032.83,           68221.98,    -29.10,    -20.09,          24.64,  +1.71,  -0.65
  3,     UK003H,       0,  0.133836, 2459521.639913401566,  25.51729,   4.52065,              252.85852,  18.89407,       252.86642,       18.89515,     25.51729,      +4.52065,      25.51249,       +4.52598,   224878.29,  4117896.40,  4982305.99,      50.570164,       -6.105176,  102214.11,  296414.22,    8308.80,             8908.58,   229.53,  74847.13,           68221.98,    -32.13,    -22.18,          27.17,  +1.68,  -0.68
  4,     UK003H,       0,  0.174152, 2459521.639913868625,  25.24152,   4.26700,              252.93079,  18.52630,       252.92329,       18.52528,     25.24152,      +4.26700,      25.24735,       +4.26193,   225781.05,  4116815.69,  4980963.20,      50.569656,       -6.118690,  100522.82,  296673.33,   10254.57,            10854.36,  -612.91,  48263.00,           64833.70,     30.60,     21.14,          25.86,  +2.73,  +0.37

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.