Orbital Analysis for matched events on 20211103_181414.536_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 48.31° Bg 70.26° Vg 23.54km/s
mass 0.06810g, abs. mag 0.7
best visual mag 1.2
Path Details
------------
start -4.62° 50.76° 96.55km
end   -4.63° 50.73° 88.36km

Orbit Details
-------------
Semimajor axis 2.31A.U., eccentricity 0.60, inclination 37.32°, Period 3.51Y, LA Sun 221.25°, last Perihelion 2018-05-27

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: 2459522.259890464135
Time: 2021-11-03 18:14:14.576536 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0020
 Convergence angle = 34.77043 deg
 R.A. = 330.81259  Dec = +73.42722 deg

Best intersection: Stations UK000T and UK0020 with Qconv = 34.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2754682.89 +/- 20.53 m
 Y =  -3041871.37 +/- 109.57 m
 Z =   4992576.66 +/- 23.69 m
 Vx =     6102.79 +/- 154.54 m/s
 Vy =    -4135.60 +/- 443.32 m/s
 Vz =    24959.62 +/- 256.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.503962e+02, +3.517212e+00, -6.998862e+01, +1.462490e+03, +1.424442e+03, -5.089834e+02
+3.517212e+00, +1.239518e+04, -1.277336e+03, +1.454872e+03, +5.266571e+04, -1.637897e+04
-6.998862e+01, -1.277336e+03, +5.833823e+02, -9.371331e+02, -4.931287e+03, +1.455797e+03
+1.462490e+03, +1.454872e+03, -9.371331e+02, +6.998302e+03, +9.495312e+03, -3.321284e+03
+1.424442e+03, +5.266571e+04, -4.931287e+03, +9.495312e+03, +2.448197e+05, -7.473712e+04
-5.089834e+02, -1.637897e+04, +1.455797e+03, -3.321284e+03, -7.473712e+04, +2.381637e+04

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0020: -0.000965 s

Reference point on the trajectory:
  Time: 2021-11-03 18:14:14.576536 UTC
  Lon     = +-4.618721 +/- 0.0011 deg
  Lat     = +50.766218 +/- 0.0005 deg
  Lat geo = +50.580396 +/- 0.0005 deg
  Ht      =   97342.59 +/- 61.44 m

  JD dynamic   = 2459522.260691673029 
  LST apparent = 312.1636177480 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 325.87620 +/- 3.6621 deg
  Dec       = +73.54501 +/- 0.4292 deg
  Azimuth   =   9.68554 +/- 1.7006 deg
  Elevation = +66.47700 +/- 0.8170 deg
  Vavg      =  26.22471 +/- 0.2765 km/s
  Vinit     =  26.02556 +/- 0.2123 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 328.11305 +/- 3.6621 deg
  Dec       = +73.38338 +/- 0.4292 deg
  Azimuth   =  11.30441 +/- 1.7006 deg
  Elevation = +66.36706 +/- 0.8170 deg
  Vavg      =  26.24651 +/- 0.2765 km/s
  Vinit     =  26.04737 +/- 0.2123 km/s
Radiant (geocentric, J2000):
  R.A.   = 327.54231 +/- 4.2237 deg
  Dec    = +74.55571 +/- 0.4319 deg
  Vg     =  23.53678 +/- 0.2354 km/s
  Vinf   =  26.02556 +/- 0.2123 km/s
  Zc     =  23.70619 +/- 0.8159 deg
  Zg     =  24.91383 +/- 0.8837 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  48.30711 +/- 1.6236 deg
  Bg     = +70.25544 +/- 1.0023 deg
  Vh     =  37.47693 +/- 0.3674 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 327.23565 +/- 0.6169 deg
  Bh     = +36.23585 +/- 0.2914 deg
  Vh_x   = -25.41929 +/- 0.0744 km/s
  Vh_y   =  16.35924 +/- 0.3706 km/s
  Vh_z   = -22.15301 +/- 0.3620 km/s
Orbit:
  La Sun = 221.247566 +/- -0.0000 deg
  a      =   2.309314 +/- 0.1362 AU
  e      =   0.598937 +/- 0.0242
  i      =  37.319773 +/- 0.2089 deg
  peri   = 214.611439 +/- 2.6744 deg
  node   = 221.246851 +/- 0.0000 deg
  Pi     =  75.858290 +/- 2.6744 deg
  q      =   0.926180 +/- 0.0082 AU
  f      = 325.388288 +/- 2.6744 deg
  M      = 352.716765 +/- 1.5567 deg
  Q      =   3.692447 +/- 0.2645 AU
  n      =   0.280854 +/- 0.0313 deg/day
  T      =   3.509336 +/- 0.2979 years
  Last perihelion JD = 2458266.385798 (2018-05-27 21:15:32.952534) +/- 110.7793 days
  Tj     =   3.102047 +/- 0.1512
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.948595e-04, +1.885425e-04, -2.732026e+00, -3.550145e-08, -6.273854e-02, +4.467870e-03
q   , +1.885425e-04, +6.403299e-05, -8.661377e-01, -1.236845e-08, -2.100614e-02, +1.557652e-03
Tp  , -2.732026e+00, -8.661377e-01, +1.262738e+04, +1.659992e-04, +2.882054e+02, -2.090751e+01
node, -3.550145e-08, -1.236845e-08, +1.659992e-04, +2.665787e-12, +4.036070e-06, -3.362239e-07
peri, -6.273854e-02, -2.100614e-02, +2.882054e+02, +4.036070e-06, +6.911099e+00, -5.082322e-01
i   , +4.467870e-03, +1.557652e-03, -2.090751e+01, -3.362239e-07, -5.082322e-01, +4.241156e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.067436
 a2 = 19.721204

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 8.303e-06 s
  Stddev    = 2.88e-03 s

Begin point on the trajectory:
  Lon =    -4.619537 +/- 0.0009 deg
  Lat =    50.763188 +/- 0.0004 deg
  Ht  = 96545.13 +/- 60.73 m
End point on the trajectory:
  Lon =    -4.629354 +/- 0.0009 deg
  Lat =    50.732060 +/- 0.0002 deg
  Ht  = 88364.69 +/- 87.02 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,   2.238299,   7.728439,    96545.13,    88726.90,          0.013602,     33.12,      8.80,              70.26, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20211103_181413_039_0083968.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000164,  36.179812,    96059.43,    88364.69,          0.030622,     64.13,     13.64,              47.52, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20211103_181413_565_0080896.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,     UK000T,       1,  0.000000, 2459522.259890464135, 281.50652,   9.92269,              223.36557,  41.04317,       223.36101,       41.04399,    281.50652,      +9.92269,     281.51003,       +9.92193,  2754692.02, -3041877.55,  4992614.01,      50.766353,       -4.618516,   97378.30,  146802.33,       0.00,               38.94,   120.72,      0.00,           26109.83,      2.33,      8.77,          12.75,  +5.49,  +4.66
  1,     UK000T,       0,  0.040440, 2459522.259890932124, 281.44141,   9.59665,              223.25514,  40.72154,       223.26409,       40.71993,    281.44141,      +9.59665,     281.43467,       +9.59813,  2754478.94, -3041733.16,  4991742.55,      50.763188,       -4.619537,   96545.13,  146479.45,     908.68,              869.74,  -100.95,  22469.88,           26109.83,     -4.59,    -17.23,          25.10,  +2.30,  +1.47
  2,     UK000T,       0,  0.080976, 2459522.259891401511, 281.32896,   9.19881,              223.16059,  40.31483,       223.14395,       40.31782,    281.32896,      +9.19881,     281.34220,       +9.19605,  2754215.60, -3041554.70,  4990665.49,      50.759274,       -4.620759,   95515.42,  146085.80,    2031.74,             1992.80,   -32.86,  27705.22,           26109.83,      8.55,     32.12,          46.93,  +1.81,  +0.99
  3,     UK000T,       0,  0.121524, 2459522.259891870432, 281.23951,   8.79513,              223.03745,  39.91246,       223.02499,       39.91470,    281.23951,      +8.79513,     281.24972,       +8.79305,  2753953.07, -3041376.79,  4989591.77,      50.755371,       -4.621978,   94488.93,  145700.94,    3151.31,             3112.36,    31.42,  27610.88,           26109.83,      6.42,     24.12,          35.33,  +1.44,  +0.62
  4,     UK000T,       0,  0.162024, 2459522.259892339353, 281.15750,   8.42476,              222.92588,  39.54315,       222.91750,       39.54466,    281.15750,      +8.42476,     281.16473,       +8.42335,  2753713.47, -3041214.43,  4988611.85,      50.751808,       -4.623106,   93552.10,  145356.88,    4173.08,             4134.14,    -0.84,  25229.09,           26137.05,      4.33,     16.28,          23.90,  +1.26,  +0.45
  5,     UK000T,       0,  0.202532, 2459522.259892808273, 281.06439,   8.04996,              222.82606,  39.16499,       222.80922,       39.16802,    281.06439,      +8.04996,     281.07846,       +8.04712,  2753470.80, -3041049.98,  4987619.35,      50.748199,       -4.624246,   92603.26,  145014.83,    5207.97,             5169.03,   -20.20,  25547.71,           26060.65,      8.72,     32.78,          48.24,  +1.30,  +0.49
  6,     UK000T,       0,  0.243068, 2459522.259893277194, 280.98412,   7.65529,              222.70188,  38.77414,       222.69729,       38.77497,    280.98412,      +7.65529,     280.98876,       +7.65452,  2753218.76, -3040879.19,  4986588.56,      50.744449,       -4.625424,   91617.85,  144666.33,    6282.77,             6243.83,    -0.37,  26514.75,           26082.04,      2.38,      8.96,          13.22,  +1.17,  +0.37
  7,     UK000T,       0,  0.283584, 2459522.259893746581, 280.89113,   7.27260,              222.60030,  38.38859,       222.58919,       38.39059,    280.89113,      +7.27260,     280.90112,       +7.27071,  2752973.55, -3040713.02,  4985585.69,      50.740799,       -4.626574,   90659.12,  144334.32,    7328.48,             7289.54,    -9.11,  25809.75,           26068.26,      5.79,     21.76,          32.17,  +1.33,  +0.53
  8,     UK000T,       0,  0.324076, 2459522.259894215036, 280.81339,   6.90914,              222.49292,  38.02674,       222.48845,       38.02754,    280.81339,      +6.90914,     280.81830,       +6.90837,  2752743.10, -3040556.85,  4984643.17,      50.737368,       -4.627666,   89758.09,  144028.88,    8311.25,             8272.30,   -80.17,  24270.60,           25942.07,      2.33,      8.76,          12.98,  +1.56,  +0.77
  9,     UK000T,       0,  0.364632, 2459522.259894684423, 280.69085,   6.49858,              222.41254,  37.60326,       222.37322,       37.61034,    280.69085,      +6.49858,     280.72380,       +6.49183,  2752479.35, -3040378.12,  4983564.46,      50.733440,       -4.628891,   88726.90,  143685.87,    9436.02,             9397.08,   -10.89,  27733.93,           25975.65,     20.55,     77.42,         114.99,  +2.07,  +1.28
  0,     UK0020,       0,  0.064768, 2459522.259891225491, 257.52570,  39.63515,              276.15625,  50.19349,       276.07689,       50.22703,    257.52570,     +39.63515,     257.59953,      +39.61292,  2754354.73, -3041648.98,  4991234.51,      50.761342,       -4.620139,   96059.43,  124327.58,       0.00,             1399.47,  -204.38,      0.00,           27174.23,    -27.51,    129.16,         219.09,  +3.45,  +2.98
  1,     UK0020,       0,  0.104896, 2459522.259891689755, 257.35075,  39.17768,              275.69751,  49.81850,       275.67310,       49.82879,    257.35075,     +39.17768,     257.37381,      +39.17086,  2754024.93, -3041425.49,  4989885.67,      50.756440,       -4.621626,   94769.90,  123365.72,    1406.45,             2805.92,   157.72,  35049.11,           27174.23,     -8.41,     39.62,          67.72,  +2.74,  +2.28
  2,     UK0020,       0,  0.145012, 2459522.259892154019, 257.18716,  38.90304,              275.46762,  49.55497,       275.42089,       49.57461,    257.18716,     +38.90304,     257.23103,      +38.89000,  2753818.97, -3041285.92,  4989043.33,      50.753377,       -4.622617,   93964.60,  122772.25,    2284.77,             3684.24,    -8.01,  21894.37,           27174.23,    -16.09,     75.69,         130.00,  +1.83,  +1.38
  3,     UK0020,       0,  0.185124, 2459522.259892618284, 257.03809,  38.55523,              275.14057,  49.25629,       275.11797,       49.26577,    257.03809,     +38.55523,     257.05979,      +38.54894,  2753571.25, -3041118.06,  4988030.20,      50.749693,       -4.623776,   92996.05,  122061.47,    3341.16,             4740.63,     4.44,  26336.03,           27174.23,     -7.75,     36.53,          63.11,  +1.91,  +1.48
  4,     UK0020,       0,  0.225268, 2459522.259893083014, 256.84052,  38.21343,              274.86061,  48.92886,       274.81208,       48.94916,    256.84052,     +38.21343,     256.88638,      +38.19990,  2753320.85, -3040948.37,  4987006.10,      50.745968,       -4.624945,   92017.01,  121348.02,    4408.99,             5808.46,    27.51,  26600.08,           26799.50,    -16.65,     78.29,         136.05,  +1.37,  +0.95
  5,     UK0020,       0,  0.265360, 2459522.259893547278, 256.72507,  37.85189,              274.50329,  48.63981,       274.51365,       48.63549,    256.72507,     +37.85189,     256.71659,      +37.85477,  2753076.32, -3040782.66,  4986006.00,      50.742329,       -4.626091,   91060.93,  120656.52,    5451.80,             6851.27,    26.90,  26010.50,           26579.85,      3.54,    -16.70,          29.17,  +1.41,  +1.00
  6,     UK0020,       0,  0.305500, 2459522.259894011542, 256.53673,  37.55260,              274.27818,  48.34061,       274.24889,       48.35280,    256.53673,     +37.55260,     256.56510,      +37.54445,  2752859.19, -3040635.52,  4985117.95,      50.739096,       -4.627128,   90211.96,  120047.62,    6377.78,             7777.25,   -91.79,  23068.70,           26124.99,    -10.00,     47.08,          82.70,  +1.32,  +0.92
  7,     UK0020,       0,  0.345616, 2459522.259894475807, 256.39169,  37.18270,              273.94197,  48.02460,       273.94438,       48.02360,    256.39169,     +37.18270,     256.39091,      +37.18337,  2752609.13, -3040466.06,  4984095.23,      50.735373,       -4.628296,   89234.29,  119350.26,    7444.17,             8843.65,   -69.43,  26582.78,           25973.62,      0.82,     -3.87,           6.84,  +1.53,  +1.15
  8,     UK0020,       0,  0.385760, 2459522.259894940536, 256.20168,  36.86770,              273.70836,  47.71207,       273.67381,       47.72639,    256.20168,     +36.86770,     256.23524,      +36.85811,  2752386.71, -3040315.34,  4983185.58,      50.732060,       -4.629354,   88364.69,  118735.48,    8392.67,             9792.14,  -165.71,  23627.36,           25746.47,    -11.76,     55.33,          98.27,  +3.30,  +2.93
  9,     UK0020,       1,  0.425848, 2459522.259895404801, 256.08303,  36.74296,              273.64871,  47.56051,       273.55954,       47.59741,    256.08303,     +36.74296,     256.16726,      +36.71819,  2752292.90, -3040251.77,  4982801.88,      50.730662,       -4.629897,   87997.80,  118482.02,    8792.76,            10192.23,  -808.93,   9980.17,           24771.64,    -30.45,    142.71,         254.04,  +5.87,  +5.50

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.