Orbital Analysis for matched events on 20211111_194440.646_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 121.91° Bg 54.24° Vg 36.72km/s
mass 0.00906g, abs. mag 1.3
best visual mag 1.1
Path Details
------------
start -1.00° 51.77° 91.76km
end   -1.00° 51.70° 86.55km

Orbit Details
-------------
Semimajor axis 1.16A.U., eccentricity 0.26, inclination 72.13°, Period 1.25Y, LA Sun 229.34°, last Perihelion 2020-10-06

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: 2459530.322692665737
Time: 2021-11-11 19:44:40.646320 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003D and UK003S
 Convergence angle = 77.15602 deg
 R.A. = 155.37784  Dec = +71.72676 deg

Best intersection: Stations UK003D and UK003S with Qconv = 77.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3898494.82 +/- 21.06 m
 Y =   -947284.84 +/- 19.57 m
 Z =   5059087.61 +/- 19.44 m
 Vx =   -11129.53 +/- 128.28 m/s
 Vy =     4788.16 +/- 137.72 m/s
 Vz =    36402.01 +/- 189.18 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.721773e+02, -2.497770e+02, +3.080339e+02, +3.121135e+03, -1.338732e+03, +1.992495e+03
-2.497770e+02, +4.100916e+02, -3.021400e+02, -1.407726e+03, +1.876027e+03, -1.158203e+03
+3.080339e+02, -3.021400e+02, +4.056187e+02, +1.789637e+03, -1.593390e+03, +2.765793e+03
+3.121135e+03, -1.407726e+03, +1.789637e+03, +2.564803e+04, -1.135958e+04, +1.479420e+04
-1.338732e+03, +1.876027e+03, -1.593390e+03, -1.135958e+04, +1.424239e+04, -1.171266e+04
+1.992495e+03, -1.158203e+03, +2.765793e+03, +1.479420e+04, -1.171266e+04, +3.008595e+04

Timing offsets (from input data):
    UK003D: 0.000000 s
    UK003S: 0.000127 s

Reference point on the trajectory:
  Time: 2021-11-11 19:44:40.646320 UTC
  Lon     = +-0.995637 +/- 0.0002 deg
  Lat     = +51.769609 +/- 0.0001 deg
  Lat geo = +51.585048 +/- 0.0001 deg
  Ht      =   91746.91 +/- 27.93 m

  JD dynamic   = 2459530.323493406642 
  LST apparent = 346.3425374805 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 156.72158 +/- 0.4082 deg
  Dec       = +71.59082 +/- 0.2957 deg
  Azimuth   =   3.63095 +/- 0.1682 deg
  Elevation = +33.54919 +/- 0.2898 deg
  Vavg      =  37.98799 +/- 0.0638 km/s
  Vinit     =  38.36534 +/- 0.1343 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 155.36328 +/- 0.4082 deg
  Dec       = +71.51673 +/- 0.2957 deg
  Azimuth   =   4.15382 +/- 0.1682 deg
  Elevation = +33.53281 +/- 0.2898 deg
  Vavg      =  38.00454 +/- 0.0638 km/s
  Vinit     =  38.38190 +/- 0.1343 km/s
Radiant (geocentric, J2000):
  R.A.   = 156.80610 +/- 0.3896 deg
  Dec    = +70.36057 +/- 0.3084 deg
  Vg     =  36.72105 +/- 0.1402 km/s
  Vinf   =  38.36534 +/- 0.1343 km/s
  Zc     =  56.63500 +/- 0.2898 deg
  Zg     =  57.98710 +/- 0.3025 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 121.91362 +/- 0.3295 deg
  Bg     = +54.23966 +/- 0.2740 deg
  Vh     =  32.04772 +/- 0.2145 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 354.78585 +/- 0.4012 deg
  Bh     = +68.40668 +/- 0.2063 deg
  Vh_x   = -11.74527 +/- 0.1517 km/s
  Vh_y   =   1.07183 +/- 0.0859 km/s
  Vh_z   = -29.79859 +/- 0.1899 km/s
Orbit:
  La Sun = 229.341924 +/- -0.0000 deg
  a      =   1.159370 +/- 0.0226 AU
  e      =   0.256758 +/- 0.0101
  i      =  72.128475 +/- 0.2110 deg
  peri   = 248.545107 +/- 2.4153 deg
  node   = 229.341029 +/- 0.0000 deg
  Pi     = 117.886136 +/- 2.4153 deg
  q      =   0.861693 +/- 0.0049 AU
  f      = 291.455025 +/- 2.4153 deg
  M      = 316.782989 +/- 2.5174 deg
  Q      =   1.457047 +/- 0.0408 AU
  n      =   0.789535 +/- 0.0212 deg/day
  T      =   1.248342 +/- 0.0372 years
  Last perihelion JD = 2459129.095860 (2020-10-06 14:18:02.281731) +/- 15.4819 days
  Tj     =   4.768855 +/- 0.0790
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.098952e-04, +4.366152e-05, -1.647567e-01, -1.769720e-09, -2.449333e-02, -7.238366e-04
q   , +4.366152e-05, +2.641202e-05, -7.484924e-02, -4.292721e-10, -1.243899e-02, -1.749446e-04
Tp  , -1.647567e-01, -7.484924e-02, +2.568117e+02, +2.401000e-06, +3.950726e+01, +9.815298e-01
node, -1.769720e-09, -4.292721e-10, +2.401000e-06, +2.821030e-13, +3.067518e-07, +1.161206e-07
peri, -2.449333e-02, -1.243899e-02, +3.950726e+01, +3.067518e-07, +6.272434e+00, +1.252400e-01
i   , -7.238366e-04, -1.749446e-04, +9.815298e-01, +1.161206e-07, +1.252400e-01, +4.779985e-02

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: UK003D
  Avg. res. = 1.269e-05 s
  Stddev    = 3.56e-03 s

Begin point on the trajectory:
  Lon =    -0.995620 +/- 0.0002 deg
  Lat =    51.769775 +/- 0.0000 deg
  Ht  = 91759.37 +/- 29.32 m
End point on the trajectory:
  Lon =    -1.003778 +/- 0.0002 deg
  Lat =    51.700167 +/- 0.0001 deg
  Ht  = 86548.02 +/- 25.73 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
    UK003D,   False,    -0.649870,    51.914450,   87.00,   0.000208,  57.903465,    91759.37,    86721.21,          0.012188,     19.67,      3.53,              67.75, 1.0000,    True,    True, {"ff_name": "FF_UK003D_20211111_194431_525_0256512.fits"}
    UK003S,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,    91676.20,    86548.02,          0.017752,     14.37,     40.54,              48.22, 1.0000,    True,    True, {"ff_name": "FF_UK003S_20211111_194437_679_0243968.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,     UK003D,       0,  0.000000, 2459530.322692665737, 327.44008,  40.20996,              236.08603,  72.34006,       236.09480,       72.33738,    327.44008,     +40.20996,     327.43515,      +40.20975,  3898488.28,  -947282.02,  5059109.00,      51.769775,       -0.995620,   91759.37,   96139.01,       0.00,               22.55,    -0.01,      0.00,           37431.42,     -1.12,     -6.24,          13.60,  +4.37,  +4.46
  1,     UK003D,       0,  0.040700, 2459530.322693136986, 327.50837,  39.28973,              233.99840,  71.68124,       234.02817,       71.67243,    327.50837,     +39.28973,     327.49195,      +39.28904,  3898968.50,  -947488.63,  5057538.30,      51.757574,       -0.997038,   90844.65,   95534.29,    1655.42,             1632.87,    48.84,  40673.70,           37431.42,     -3.80,    -21.09,          46.27,  +2.45,  +2.55
  2,     UK003D,       0,  0.081332, 2459530.322693607304, 327.53453,  38.47856,              232.33802,  71.06700,       232.32945,       71.06948,    327.53453,     +38.47856,     327.53962,      +38.47876,  3899386.14,  -947668.30,  5056172.30,      51.746961,       -0.998292,   90049.36,   95029.10,    3095.09,             3072.54,   -70.35,  35432.01,           37431.42,      1.09,      6.08,          13.40,  +1.06,  +1.17
  3,     UK003D,       0,  0.121992, 2459530.322694077622, 327.56885,  37.62570,              230.68786,  70.40983,       230.65239,       70.41984,    327.56885,     +37.62570,     327.58896,      +37.62653,  3899820.78,  -947855.29,  5054750.70,      51.735912,       -0.999591,   89221.93,   94523.64,    4593.37,             4570.82,  -132.01,  36848.86,           37431.42,      4.53,     25.24,          55.96,  +1.23,  +1.35
  4,     UK003D,       0,  0.162824, 2459530.322694550268, 327.65259,  36.54820,              228.67289,  69.57885,       228.67543,       69.57815,    327.65259,     +36.54820,     327.65187,      +36.54814,  3900364.49,  -948089.21,  5052972.35,      51.722087,       -1.001173,   88187.19,   93920.44,    6467.63,             6445.08,   175.73,  45901.90,           39007.74,     -0.33,     -1.82,           4.05,  +2.11,  +2.25
  5,     UK003D,       0,  0.203424, 2459530.322695020121, 327.70320,  35.77785,              227.34171,  68.96795,       227.36108,       68.96271,    327.70320,     +35.77785,     327.69334,      +35.77740,  3900748.75,  -948254.53,  5051715.55,      51.712313,       -1.002340,   87456.11,   93515.34,    7792.22,             7769.67,   -57.32,  32625.23,           38547.35,     -2.51,    -13.98,          31.33,  +3.06,  +3.21
  6,     UK003D,       0,  0.244032, 2459530.322695489973, 327.76161,  34.99702,              226.05117,  68.34235,       226.10165,       68.32891,    327.76161,     +34.99702,     327.73462,      +34.99583,  3901135.10,  -948420.74,  5050451.89,      51.702485,       -1.003512,   86721.21,   93125.23,    9124.03,             9101.48,  -283.45,  32796.78,           37768.11,     -6.61,    -36.76,          82.72,  +4.85,  +5.00
  0,     UK003S,       0,  0.001416, 2459530.322692786343,  63.27616,  45.34400,               64.18198,  40.12765,        64.17312,       40.09588,     63.27616,     +45.34400,      63.31814,      +45.33034,  3898531.93,  -947300.80,  5058966.21,      51.768666,       -0.995777,   91676.20,  140686.13,       0.00,              127.94,    51.04,      0.00,           39382.94,     75.19,    -26.66,         116.96,  +4.96,  +4.22
  1,     UK003S,       0,  0.041536, 2459530.322693251073,  63.08522,  44.95956,               64.68908,  40.00388,        64.69150,       40.01233,     63.08522,     +44.95956,      63.07432,      +44.96317,  3898917.11,  -947466.52,  5057706.38,      51.758880,       -0.996945,   90942.52,  139803.13,    1327.78,             1455.72,  -160.40,  33095.13,           39382.94,    -19.88,      7.05,          31.13,  +2.74,  +2.01
  2,     UK003S,       0,  0.081660, 2459530.322693715338,  62.78373,  44.48013,               65.35613,  39.88469,        65.36069,       39.90006,     62.78373,     +44.48013,      62.76399,      +44.48666,  3899408.17,  -947677.78,  5056100.23,      51.746401,       -0.998388,   90007.42,  138689.93,    3020.55,             3148.49,    -7.00,  42188.57,           39382.94,    -35.98,     12.75,          56.77,  +2.39,  +1.68
  3,     UK003S,       0,  0.121780, 2459530.322694179602,  62.48177,  43.99610,               66.02785,  39.76244,        66.03410,       39.78284,     62.48177,     +43.99610,      62.45575,      +44.00471,  3899896.17,  -947887.73,  5054504.11,      51.733995,       -0.999823,   89078.44,  137595.34,    4702.76,             4830.70,   136.00,  41929.49,           39382.94,    -47.44,     16.82,          75.46,  +2.04,  +1.35
  4,     UK003S,       0,  0.161868, 2459530.322694643401,  62.19922,  43.58433,               66.61374,  39.67269,        66.61557,       39.67852,     62.19922,     +43.58433,      62.19238,      +43.58677,  3900313.00,  -948067.06,  5053140.76,      51.723396,       -1.001073,   88285.16,  136668.63,    6139.65,             6267.59,    34.89,  35843.24,           39023.76,    -13.47,      4.77,          21.57,  +2.57,  +1.89
  5,     UK003S,       0,  0.201972, 2459530.322695107665,  61.93727,  43.16062,               67.19987,  39.56346,        67.20200,       39.57005,     61.93727,     +43.16062,      61.92964,      +43.16337,  3900729.04,  -948246.05,  5051779.99,      51.712815,       -1.002320,   87493.59,  135752.52,    7573.80,             7701.75,   -69.55,  35761.01,           38455.12,    -15.17,      5.38,          24.46,  +2.95,  +2.29
  6,     UK003S,       0,  0.242104, 2459530.322695572395,  61.63688,  42.64148,               67.90544,  39.41706,        67.91109,       39.43399,     61.63688,     +42.64148,      61.61617,      +42.64850,  3901226.18,  -948459.93,  5050153.99,      51.700167,       -1.003778,   86548.02,  134671.35,    9287.50,             9415.45,   104.47,  42701.53,           38707.19,    -38.73,     13.73,          62.93,  +4.98,  +4.33

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.