Orbital Analysis for matched events on 20211103_022105.964_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 87.41° Bg 3.26° Vg 51.46km/s
mass 0.03197g, abs. mag -0.6
best visual mag 0.7
Path Details
------------
start -1.17° 49.68° 94.97km
end   -1.19° 49.71° 87.22km

Orbit Details
-------------
Semimajor axis 1.94A.U., eccentricity 0.98, inclination 158.49°, Period 2.70Y, LA Sun 220.58°, last Perihelion 2019-03-25

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: 2459521.597985698842
Time: 2021-11-03 02:21:05.964380 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK0038
 Convergence angle = 15.12284 deg
 R.A. =  87.51320  Dec = +27.74603 deg

Best intersection: Stations UK002D and UK0038 with Qconv = 15.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    967543.77 +/- 13.79 m
 Y =   4083499.42 +/- 134.74 m
 Z =   4912201.63 +/- 23.51 m
 Vx =     2166.38 +/- 231.29 m/s
 Vy =    46880.21 +/- 1212.92 m/s
 Vz =    23856.66 +/- 1100.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.988015e+02, -1.562247e+03, +2.671671e+02, +1.955756e+03, -1.298004e+04, +2.375156e+03
-1.562247e+03, +2.144422e+04, -2.513860e+03, -1.813110e+04, +1.537683e+05, -1.779745e+04
+2.671671e+02, -2.513860e+03, +5.551668e+02, +2.887064e+03, -2.179985e+04, +4.147516e+03
+1.955756e+03, -1.813110e+04, +2.887064e+03, +2.642626e+04, -1.911046e+05, +3.584427e+04
-1.298004e+04, +1.537683e+05, -2.179985e+04, -1.911046e+05, +1.607944e+06, -2.685408e+05
+2.375156e+03, -1.779745e+04, +4.147516e+03, +3.584427e+04, -2.685408e+05, +6.595103e+04

Timing offsets (from input data):
    UK002D: 0.000000 s
    UK0038: -0.000566 s
    UK003J: 0.000000 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:21:05.964380 UTC
  Lon     = +-1.173895 +/- 0.0006 deg
  Lat     = +49.679468 +/- 0.0010 deg
  Lat geo = +49.492295 +/- 0.0010 deg
  Ht      =   94918.22 +/- 71.02 m

  JD dynamic   = 2459521.598786439747 
  LST apparent = 76.6701655360 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  87.35419 +/- 0.2479 deg
  Dec       = +26.94619 +/- 0.7911 deg
  Azimuth   = 156.19738 +/- 0.1404 deg
  Elevation = +65.82718 +/- 0.8188 deg
  Vavg      =  50.46951 +/- 0.8648 km/s
  Vinit     =  52.64587 +/- 0.9910 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  87.72087 +/- 0.2479 deg
  Dec       = +26.91777 +/- 0.7911 deg
  Azimuth   = 155.45752 +/- 0.1404 deg
  Elevation = +65.70288 +/- 0.8188 deg
  Vavg      =  50.52095 +/- 0.8648 km/s
  Vinit     =  52.69731 +/- 0.9910 km/s
Radiant (geocentric, J2000):
  R.A.   =  87.10522 +/- 0.2484 deg
  Dec    = +26.67550 +/- 0.7902 deg
  Vg     =  51.46065 +/- 1.0127 km/s
  Vinf   =  52.64587 +/- 0.9910 km/s
  Zc     =  24.00168 +/- 0.8188 deg
  Zg     =  24.27899 +/- 0.8181 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  87.40935 +/- 0.2089 deg
  Bg     =  +3.26383 +/- 0.7942 deg
  Vh     =  36.47638 +/- 0.7221 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  52.38723 +/- 1.1240 deg
  Bh     =  +4.60728 +/- 1.1186 deg
  Vh_x   = -22.19039 +/- 0.1502 km/s
  Vh_y   = -28.80153 +/- 1.0513 km/s
  Vh_z   =  -2.92999 +/- 0.6874 km/s
Orbit:
  La Sun = 220.584437 +/- -0.0000 deg
  a      =   1.937761 +/- 0.3673 AU
  e      =   0.981540 +/- 0.0003
  i      = 158.490290 +/- 5.7946 deg
  peri   = 341.090986 +/- 2.0951 deg
  node   = 220.588283 +/- 0.0018 deg
  Pi     = 201.679269 +/- 2.0934 deg
  q      =   0.035771 +/- 0.0068 AU
  f      = 198.911622 +/- 2.0968 deg
  M      = 348.608515 +/- 1.8422 deg
  Q      =   3.839751 +/- 0.7279 AU
  n      =   0.365388 +/- 0.0587 deg/day
  T      =   2.697434 +/- 0.8768 years
  Last perihelion JD = 2458567.520282 (2019-03-25 00:29:12.381282) +/- 320.3285 days
  Tj     =   2.468560 +/- 0.3443
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.244016e-07, -4.430084e-07, +3.930644e-03, +5.836305e-08, +1.461482e-04, -3.416303e-04
q   , -4.430084e-07, +5.032949e-05, -2.305716e+00, +1.230043e-05, -1.554370e-02, +4.071796e-02
Tp  , +3.930644e-03, -2.305716e+00, +1.080659e+05, -5.908469e-01, +7.097760e+02, -1.855186e+03
node, +5.836305e-08, +1.230043e-05, -5.908469e-01, +3.369542e-06, -3.759870e-03, +9.890557e-03
peri, +1.461482e-04, -1.554370e-02, +7.097760e+02, -3.759870e-03, +4.807421e+00, -1.263239e+01
i   , -3.416303e-04, +4.071796e-02, -1.855186e+03, +9.890557e-03, -1.263239e+01, +3.540794e+01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.090542
 a2 = 50.790827

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 1.832e-06 s
  Stddev    = 1.35e-03 s

Begin point on the trajectory:
  Lon =    -1.173764 +/- 0.0005 deg
  Lat =    49.679276 +/- 0.0009 deg
  Ht  = 94971.16 +/- 54.21 m
End point on the trajectory:
  Lon =    -1.193660 +/- 0.0005 deg
  Lat =    49.707502 +/- 0.0009 deg
  Ht  = 87222.04 +/- 47.10 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    94971.16,    87499.70,          0.003600,      6.98,     11.29,              39.07, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20211103_022101_519_0812544.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.298563,  42.565597,    94592.76,    87222.04,          0.005791,     16.53,     15.62,              39.98, 1.0000,    True,    True, {"ff_name": "FF_UK0038_20211103_022104_930_0817920.fits"}
    UK003J,    True,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    96210.50,    88477.37,          0.020305,       nan,       nan,              39.98, 0.0000,    True,    True, {"ff_name": "FF_UK003J_20211103_022104_767_0817920.fits"}
    UK003N,    True,    -0.162561,    51.236425,  112.00,   0.000000,   0.000000,    95676.19,    88138.98,          0.056230,       nan,       nan,              47.66, 0.0000,    True,    True, {"ff_name": "FF_UK003N_20211103_022102_033_0830720.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,     UK002D,       0,  0.000000, 2459521.597985698842,  88.70707, -12.36569,              166.29289,  25.33767,       166.29053,       25.33741,     88.70707,     -12.36569,      88.70927,      -12.36562,   967546.16,  4083551.10,  4912227.93,      49.679276,       -1.173764,   94971.16,  214810.90,       0.00,               58.04,    -0.08,      0.00,           54131.45,      6.85,     -4.23,           7.73,  +2.01,  +0.35
  1,     UK002D,       0,  0.040316, 2459521.597986165434,  88.72286, -12.73032,              166.33704,  24.97490,       166.34182,       24.97542,     88.72286,     -12.73032,      88.71856,      -12.73047,   967458.02,  4081643.89,  4911257.38,      49.686386,       -1.178767,   93017.24,  213156.11,    2141.78,             2083.74,   -96.85,  53124.72,           54131.45,    -13.81,      8.54,          15.71,  +1.39,  -0.25
  2,     UK002D,       0,  0.080664, 2459521.597986632492,  88.73127, -13.13144,              166.39485,  24.57715,       166.39756,       24.57744,     88.73127,     -13.13144,      88.72906,      -13.13152,   967362.69,  4079580.87,  4910207.54,      49.694082,       -1.184170,   90903.82,  211376.24,    4458.51,             4400.47,    95.73,  57418.84,           54131.45,     -7.79,      4.81,           8.93,  +1.14,  -0.49
  3,     UK002D,       0,  0.120976, 2459521.597987099085,  88.73156, -13.49154,              166.45410,  24.22111,       166.44768,       24.22042,     88.73156,     -13.49154,      88.73813,      -13.49135,   967278.50,  4077759.08,  4909280.46,      49.700883,       -1.188965,   89037.61,  209812.93,    6504.37,             6446.33,    19.33,  50750.52,           54131.45,     18.39,    -11.35,          21.24,  +1.18,  -0.43
  4,     UK002D,       0,  0.161236, 2459521.597987565212,  88.74408, -13.79197,              166.49039,  23.92227,       166.48996,       23.92222,     88.74408,     -13.79197,      88.74516,      -13.79196,   967209.12,  4076257.72,  4908516.44,      49.706490,       -1.192949,   87499.70,  208530.45,    8190.38,             8132.34,  -414.19,  41878.02,           51456.51,      1.22,     -0.76,           1.42,  +2.74,  +1.14
  0,     UK0038,       0,  0.004555, 2459521.597985757980,  98.79554, -11.88842,              154.98390,  23.58705,       154.97845,       23.58706,     98.79554,     -11.88842,      98.80047,      -11.88706,   967529.09,  4083181.75,  4912039.98,      49.680652,       -1.174721,   94592.76,  227570.01,       0.00,              356.74,    58.83,      0.00,           51712.98,     13.61,    -14.40,          17.96,  +2.01,  +0.22
  1,     UK0038,       0,  0.044839, 2459521.597986224573,  98.88323, -12.21511,              154.99002,  23.24934,       154.98037,       23.24937,     98.88323,     -12.21511,      98.89215,      -12.21269,   967444.37,  4081348.36,  4911106.99,      49.687489,       -1.179538,   92714.49,  226001.30,    2058.87,             2415.61,    -3.09,  51108.94,           51712.98,     24.02,    -25.42,          31.92,  +1.61,  -0.16
  2,     UK0038,       0,  0.085139, 2459521.597986690700,  98.98529, -12.55422,              154.98533,  22.89591,       154.98226,       22.89591,     98.98529,     -12.55422,      98.98844,      -12.55345,   967356.94,  4079456.32,  4910144.16,      49.694547,       -1.184507,   90776.22,  224390.88,    4183.62,             4540.35,     0.03,  52723.14,           51712.98,      7.61,     -8.05,          10.18,  +1.33,  -0.43
  3,     UK0038,       0,  0.125431, 2459521.597987157293,  99.07576, -12.88931,              154.99155,  22.54944,       154.98421,       22.54946,     99.07576,     -12.88931,      99.08298,      -12.88746,   967272.43,  4077627.56,  4909213.53,      49.701374,       -1.189320,   88902.88,  222842.41,    6237.29,             6594.02,   -67.51,  50969.67,           51712.98,     18.11,    -19.16,          24.40,  +1.34,  -0.40
  4,     UK0038,       0,  0.165699, 2459521.597987623420,  99.16500, -13.19200,              154.98975,  22.23452,       154.98629,       22.23453,     99.16500,     -13.19200,      99.16886,      -13.19112,   967196.60,  4075986.64,  4908378.49,      49.707502,       -1.193660,   87222.04,  221459.54,    8080.02,             8436.75,  -344.72,  45761.67,           50482.79,      8.50,     -8.99,          11.52,  +3.15,  +1.42
  0,     UK003J,       1, -0.026128, 2459521.597985396627,  98.68322, -11.62109,              155.02087,  23.87413,       154.97708,       23.87423,     98.68322,     -11.62109,      98.72245,      -11.61020,   967602.06,  4084760.76,  4912843.51,      49.674768,       -1.170591,   96210.50,  228926.93,       0.00,             1416.47,  2733.91,     -0.00,           53112.50,    109.97,   -116.20,         144.15,  +4.61,  +2.81
  1,     UK003J,       1,  0.014104, 2459521.597985862289,  98.81181, -11.94946,              154.98515,  23.52398,       154.97892,       23.52400,     98.81181,     -11.94946,      98.81748,      -11.94790,   967513.18,  4082837.34,  4911864.71,      49.681936,       -1.175632,   94239.91,  227274.56,    2159.98,              743.51,   -57.10,  53688.09,           53112.50,     15.54,    -16.45,          20.54,  +1.46,  -0.32
  2,     UK003J,       1,  0.054356, 2459521.597986327950,  98.92237, -12.29119,              154.97233,  23.16576,       154.98077,       23.16573,     98.92237,     -12.29119,      98.91495,      -12.29331,   967423.57,  4080898.24,  4910877.93,      49.689167,       -1.180717,   92253.36,  225617.47,    4337.56,             2921.09,     1.38,  54098.72,           53112.50,    -20.98,     22.22,          27.94,  +0.71,  -1.06
  3,     UK003J,       1,  0.094612, 2459521.597986794077,  98.99683, -12.62825,              154.99530,  22.82160,       154.98270,       22.82163,     98.99683,     -12.62825,      99.00867,      -12.62507,   967338.72,  4079062.05,  4909943.52,      49.696019,       -1.185546,   90372.33,  224056.33,    6399.58,             4983.11,   -55.91,  51222.62,           53112.50,     31.19,    -32.99,          41.80,  +0.72,  -1.03
  4,     UK003J,       1,  0.134848, 2459521.597987259738,  99.11911, -12.95980,              154.96820,  22.47014,       154.98463,       22.47009,     99.11911,     -12.95980,      99.10469,      -12.96397,   967253.23,  4077212.16,  4909002.14,      49.702925,       -1.190413,   88477.37,  222491.86,    8476.98,             7060.51,   -96.77,  51630.44,           52660.03,    -40.47,     42.87,          54.66,  +0.89,  -0.85
  0,     UK003N,       1, -0.020949, 2459521.597985456232,  56.95006, -10.24846,              202.79161,  25.94428,       202.83718,       25.96207,     56.95006,     -10.24846,      56.91409,      -10.22111,   967577.96,  4084239.24,  4912578.12,      49.676711,       -1.171933,   95676.19,  211892.48,       0.00,              830.82,  1875.60,     -0.00,           51750.04,   -158.63,    -46.12,         160.81,  +5.71,  +4.08
  1,     UK003N,       1,  0.019363, 2459521.597985922825,  56.64924, -10.51343,              203.03703,  25.61424,       203.01261,       25.60469,     56.64924,     -10.51343,      56.66860,      -10.52816,   967498.14,  4082511.87,  4911699.08,      49.683150,       -1.176479,   93906.47,  210590.25,    1939.82,             1109.01,    31.53,  48120.26,           51750.04,     84.69,     24.76,          86.43,  +2.09,  +0.47
  2,     UK003N,       1,  0.059731, 2459521.597986390349,  56.34870, -10.84690,              203.26111,  25.21743,       203.21062,       25.19768,     56.34870,     -10.84690,      56.38892,      -10.87750,   967408.45,  4080571.00,  4910711.40,      49.690388,       -1.181570,   91918.12,  209138.39,    4119.40,             3288.58,    85.90,  53992.56,           51750.04,    174.36,     51.07,         179.19,  +1.28,  -0.32
  3,     UK003N,       1,  0.100091, 2459521.597986857407,  56.06115, -11.18119,              203.46914,  24.82261,       203.40413,       24.79719,     56.06115,     -11.18119,      56.11318,      -11.22076,   967321.45,  4078688.34,  4909753.34,      49.697414,       -1.186517,   89989.51,  207742.38,    6233.60,             5402.78,    75.31,  52383.66,           51750.04,    223.54,     65.56,         231.30,  +1.30,  -0.29
  4,     UK003N,       1,  0.140443, 2459521.597987324465,  55.77833, -11.50400,              203.67340,  24.43969,       203.59121,       24.40756,     55.77833,     -11.50400,      55.84434,      -11.55423,   967237.96,  4076881.80,  4908834.03,      49.704159,       -1.191276,   88138.98,  206414.51,    8262.31,             7431.49,   -20.34,  50275.34,           51593.18,    281.49,     82.67,         293.17,  +1.34,  -0.23

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.