Orbital Analysis for matched events on 20211015_213223.173_UK

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Summary for Event
-----------------
shower ID 557 SFD
Lg 8.76° Bg 86.28° Vg 23.31km/s
mass 0.09273g, abs. mag 0.4
best visual mag 0.6
Path Details
------------
start -4.08° 49.86° 94.53km
end   -4.03° 49.81° 83.65km

Orbit Details
-------------
Semimajor axis 2.76A.U., eccentricity 0.64, inclination 37.59°, Period 4.59Y, LA Sun 202.45°, last Perihelion 2017-03-18

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: 2459503.397490435280
Time: 2021-10-15 21:32:23.173608 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003C and UK003K
 Convergence angle = 24.91746 deg
 R.A. = 288.04011  Dec = +67.08028 deg

Best intersection: Stations UK003C and UK003K with Qconv = 24.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4011383.01 +/- 105.93 m
 Y =  -1177395.98 +/- 30.55 m
 Z =   4925206.99 +/- 45.28 m
 Vx =     2438.47 +/- 390.06 m/s
 Vy =    -9821.11 +/- 69.11 m/s
 Vz =    23760.67 +/- 152.74 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.200920e+04, +2.183364e+03, +3.258238e+03, +4.163541e+04, +6.182112e+03, +1.258210e+04
+2.183364e+03, +9.917807e+02, +4.965178e+02, +6.933840e+03, +2.423986e+03, +2.797100e+03
+3.258238e+03, +4.965178e+02, +2.184767e+03, +1.028928e+04, +2.657904e+03, +3.664282e+03
+4.163541e+04, +6.933840e+03, +1.028928e+04, +1.699418e+05, +1.990904e+04, +4.714764e+04
+6.182112e+03, +2.423986e+03, +2.657904e+03, +1.990904e+04, +7.510274e+03, +8.209796e+03
+1.258210e+04, +2.797100e+03, +3.664282e+03, +4.714764e+04, +8.209796e+03, +1.456447e+04

Timing offsets (from input data):
    UK003C: 0.000000 s
    UK003K: -0.000047 s

Reference point on the trajectory:
  Time: 2021-10-15 21:32:23.173608 UTC
  Lon     = +-4.084326 +/- 0.0007 deg
  Lat     = +49.861790 +/- 0.0005 deg
  Lat geo = +49.674802 +/- 0.0005 deg
  Ht      =   94538.29 +/- 88.48 m

  JD dynamic   = 2459503.398291176185 
  LST apparent = 343.6423119245 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 283.94393 +/- 2.1915 deg
  Dec       = +66.93159 +/- 0.1720 deg
  Azimuth   = 322.56698 +/- 0.3158 deg
  Elevation = +56.18144 +/- 0.8644 deg
  Vavg      =  25.22457 +/- 0.1216 km/s
  Vinit     =  25.82576 +/- 0.1327 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 284.83801 +/- 2.1915 deg
  Dec       = +67.46850 +/- 0.1720 deg
  Azimuth   = 323.54444 +/- 0.3158 deg
  Elevation = +56.52052 +/- 0.8644 deg
  Vavg      =  25.12304 +/- 0.1216 km/s
  Vinit     =  25.72423 +/- 0.1327 km/s
Radiant (geocentric, J2000):
  R.A.   = 279.38802 +/- 2.3642 deg
  Dec    = +66.85171 +/- 0.1704 deg
  Vg     =  23.31465 +/- 0.1467 km/s
  Vinf   =  25.82576 +/- 0.1327 km/s
  Zc     =  33.96720 +/- 0.8644 deg
  Zg     =  35.75550 +/- 0.9300 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   8.76058 +/- 1.9381 deg
  Bg     = +86.27996 +/- 0.9288 deg
  Vh     =  38.19115 +/- 0.1572 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 296.17982 +/- 0.7178 deg
  Bh     = +37.53282 +/- 0.0755 deg
  Vh_x   = -13.36177 +/- 0.3860 km/s
  Vh_y   =  27.17886 +/- 0.1109 km/s
  Vh_z   = -23.26665 +/- 0.1099 km/s
Orbit:
  La Sun = 202.451180 +/- -0.0000 deg
  a      =   2.763546 +/- 0.1207 AU
  e      =   0.640457 +/- 0.0140
  i      =  37.591463 +/- 0.0959 deg
  peri   = 187.575035 +/- 1.3021 deg
  node   = 202.451981 +/- 0.0000 deg
  Pi     =  30.027017 +/- 1.3021 deg
  q      =   0.993613 +/- 0.0016 AU
  f      = 352.423603 +/- 1.3021 deg
  M      = 358.721811 +/- 0.1128 deg
  Q      =   4.533480 +/- 0.2429 AU
  n      =   0.214538 +/- 0.0117 deg/day
  T      =   4.594103 +/- 0.3126 years
  Last perihelion JD = 2457831.330693 (2017-03-18 19:56:11.879384) +/- 113.3126 days
  Tj     =   2.770085 +/- 0.0684
Shower association:
  IAU No.  =  557
  IAU code =  SFD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.119534e-04, -2.262416e-05, -1.707107e+00, -2.441369e-08, +1.810021e-02, +6.294969e-04
q   , -2.262416e-05, +2.875316e-06, +1.819961e-01, +4.905663e-09, -2.283746e-03, -1.265958e-04
Tp  , -1.707107e+00, +1.819961e-01, +1.381247e+04, +1.948398e-04, -1.447367e+02, -5.023601e+00
node, -2.441369e-08, +4.905663e-09, +1.948398e-04, +1.465446e-11, -3.856683e-06, -3.783297e-07
peri, +1.810021e-02, -2.283746e-03, -1.447367e+02, -3.856683e-06, +1.827452e+00, +9.952689e-02
i   , +6.294969e-04, -1.265958e-04, -5.023601e+00, -3.783297e-07, +9.952689e-02, +9.767433e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.001712
 a2 = 23.184653

Mean time residuals from time vs. length:
  Station with reference time: UK003C
  Avg. res. = 1.393e-05 s
  Stddev    = 3.73e-03 s

Begin point on the trajectory:
  Lon =    -4.084274 +/- 0.0007 deg
  Lat =    49.861746 +/- 0.0005 deg
  Ht  = 94529.03 +/- 91.42 m
End point on the trajectory:
  Lon =    -4.025712 +/- 0.0006 deg
  Lat =    49.810371 +/- 0.0006 deg
  Ht  = 83652.19 +/- 81.68 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
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.021848,  18.315478,    94529.03,    83652.19,          0.028571,     57.47,     12.86,              68.42, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211015_213220_538_0317696.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   6.663669,   0.000000,    90758.27,    84787.00,          0.011666,     22.56,      6.65,              67.27, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20211015_213216_897_0320512.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,     UK003C,       0,  0.000000, 2459503.397490435280,  17.39232,  22.60595,              122.80194,  51.39812,       122.75006,       51.39174,     17.39232,     +22.60595,      17.42484,      +22.61963,  4011381.95, -1177391.75,  4925196.74,      49.861746,       -4.084274,   94529.03,  120341.06,       0.00,               11.14,   143.14,      0.00,           24344.64,     15.13,    -67.62,         118.77,  +4.74,  +4.34
  1,     UK003C,       0,  0.040328, 2459503.397490901873,  17.61783,  22.23831,              122.87245,  50.97780,       122.88559,       50.97942,     17.61783,     +22.23831,      17.60971,      +22.23482,  4011293.03, -1177033.58,  4924330.20,      49.858058,       -4.080075,   93746.56,  120025.39,     941.85,              952.99,    43.49,  23354.74,           24344.64,     -3.85,     17.23,          30.34,  +3.74,  +3.34
  2,     UK003C,       0,  0.080620, 2459503.397491368465,  17.74112,  21.81453,              123.11298,  50.56608,       123.02241,       50.55496,     17.74112,     +21.81453,      17.79897,      +21.83868,  4011202.01, -1176667.02,  4923443.37,      49.854282,       -4.075774,   92945.79,  119709.21,    1905.76,             1916.90,   -33.17,  23923.02,           24344.64,     26.75,   -119.48,         210.97,  +3.45,  +3.06
  3,     UK003C,       0,  0.120992, 2459503.397491835523,  18.00763,  21.40786,              123.16285,  50.09094,       123.16840,       50.09162,     18.00763,     +21.40786,      18.00458,      +21.40637,  4011103.31, -1176269.47,  4922481.57,      49.850186,       -4.071095,   92077.37,  119374.61,    2951.14,             2962.29,   -30.42,  25893.91,           24344.64,     -1.65,      7.37,          13.06,  +2.91,  +2.53
  4,     UK003C,       0,  0.161396, 2459503.397492303513,  18.22711,  20.89191,              123.36167,  49.55090,       123.33515,       49.54764,     18.22711,     +20.89191,      18.24488,      +20.89909,  4010988.29, -1175806.25,  4921360.87,      49.845412,       -4.065614,   91065.53,  118996.10,    4169.25,             4180.39,   144.22,  30148.02,           25648.56,      7.94,    -35.49,          63.04,  +2.08,  +1.70
  5,     UK003C,       0,  0.201696, 2459503.397492769640,  18.42109,  20.54029,              123.44125,  49.15863,       123.45342,       49.16012,     18.42109,     +20.54029,      18.41405,      +20.53698,  4010906.60, -1175477.24,  4920564.88,      49.842020,       -4.061769,   90346.86,  118732.17,    5034.42,             5045.57,   -31.38,  21468.48,           25424.12,     -3.66,     16.37,          29.14,  +2.02,  +1.65
  6,     UK003C,       0,  0.242076, 2459503.397493237164,  18.63029,  20.06155,              123.60991,  48.65326,       123.60369,       48.65250,     18.63029,     +20.06155,      18.63536,      +20.06325,  4010800.40, -1175049.51,  4919530.06,      49.837608,       -4.056721,   89412.64,  118399.49,    6159.18,             6170.32,    50.53,  27854.27,           25604.56,      1.89,     -8.43,          15.05,  +1.07,  +0.70
  7,     UK003C,       0,  0.282416, 2459503.397493703756,  18.81630,  19.63792,              123.75390,  48.20500,       123.73501,       48.20268,     18.81630,     +19.63792,      18.82989,      +19.64312,  4010706.73, -1174672.24,  4918617.30,      49.833716,       -4.052286,   88588.63,  118113.32,    7151.26,             7162.40,     0.80,  24593.02,           25595.45,      5.76,    -25.75,          46.07,  +1.11,  +0.75
  8,     UK003C,       0,  0.322776, 2459503.397494171280,  19.01620,  19.19239,              123.89628,  47.73070,       123.87089,       47.72759,     19.01620,     +19.19239,      19.03435,      +19.19942,  4010608.35, -1174275.99,  4917658.65,      49.829627,       -4.047621,   87723.24,  117821.25,    8193.23,             8204.37,     0.44,  25816.91,           25605.96,      7.80,    -34.84,          62.49,  +0.90,  +0.54
  9,     UK003C,       0,  0.363176, 2459503.397494638804,  19.26802,  18.73341,              123.98575,  47.21717,       124.01280,       47.22048,     19.26802,     +18.73341,      19.25151,      +18.72587,  4010503.94, -1173855.50,  4916641.32,      49.825286,       -4.042658,   86804.92,  117520.95,    9298.98,             9310.12,    62.83,  27370.01,           25707.67,     -8.36,     37.36,          67.18,  +0.99,  +0.64
 10,     UK003C,       0,  0.403520, 2459503.397495105863,  19.46002,  18.31758,              124.10531,  46.77061,       124.13610,       46.77438,     19.46002,     +18.31758,      19.44105,      +18.30894,  4010412.47, -1173487.08,  4915750.00,      49.821481,       -4.038331,   86000.36,  117264.85,   10267.77,            10278.91,   -10.30,  24013.14,           25686.12,     -9.57,     42.80,          77.14,  +1.16,  +0.81
 11,     UK003C,       0,  0.443852, 2459503.397495572455,  19.63371,  17.89876,              124.24507,  46.33081,       124.25637,       46.33219,     19.63371,     +17.89876,      19.62794,      +17.89557,  4010322.20, -1173123.52,  4914870.43,      49.817726,       -4.034063,   85206.43,  117019.29,   11223.79,            11234.93,   -95.88,  23703.71,           25597.48,     -3.53,     15.79,          28.51,  +1.30,  +0.96
 12,     UK003C,       0,  0.484184, 2459503.397496039048,  19.80079,  17.48264,              124.38694,  45.89627,       124.37353,       45.89463,     19.80079,     +17.48264,      19.81192,      +17.48644,  4010233.26, -1172765.31,  4914003.78,      49.814025,       -4.029859,   84424.20,  116784.31,   12165.76,            12176.90,  -195.52,  23355.42,           25470.04,      4.22,    -18.85,          34.12,  +1.77,  +1.43
 13,     UK003C,       0,  0.524548, 2459503.397496506572,  20.05896,  17.10925,              124.38851,  45.44886,       124.48788,       45.46102,     20.05896,     +17.10925,      19.99332,      +17.08091,  4010145.48, -1172411.77,  4913148.44,      49.810371,       -4.025712,   83652.19,  116559.22,   13095.44,            13106.58,  -308.27,  23032.43,           25320.27,    -31.40,    140.49,         254.74,  +4.24,  +3.91
  0,     UK003K,       0,  0.181153, 2459503.397492547054, 355.36978,  12.41028,              161.25310,  50.69372,       161.27826,       50.69062,    355.36978,     +12.41028,     355.35525,      +12.40392,  4010953.37, -1175665.58,  4921020.55,      49.843962,       -4.063986,   90758.27,  116580.89,       0.00,             4550.28,     3.88,      0.00,           26280.59,     -9.34,     31.69,          58.45,  +3.27,  +2.94
  1,     UK003K,       0,  0.221453, 2459503.397493013646, 355.52403,  11.97671,              161.16440,  50.23816,       161.14983,       50.23996,    355.52403,     +11.97671,     355.53388,      +11.98042,  4010860.24, -1175290.51,  4920113.13,      49.840094,       -4.059580,   89939.02,  116266.88,     986.29,             5536.58,   -50.60,  24473.82,           26280.59,      5.45,    -18.47,          34.16,  +1.74,  +1.41
  2,     UK003K,       0,  0.261757, 2459503.397493480239, 355.71459,  11.52334,              161.02924,  49.75567,       161.01451,       49.75748,    355.71459,     +11.52334,     355.72479,      +11.52713,  4010761.14, -1174891.38,  4919147.48,      49.835977,       -4.054879,   89067.25,  115941.09,    2035.87,             6586.15,   -41.91,  26041.47,           26280.59,      5.55,    -18.80,          34.88,  +0.85,  +0.53
  3,     UK003K,       0,  0.302085, 2459503.397493946832, 355.93366,  11.02968,              160.86702,  49.22769,       160.86822,       49.22754,    355.93366,     +11.02968,     355.93418,      +11.02937,  4010652.98, -1174455.77,  4918093.59,      49.831482,       -4.049733,   88115.86,  115595.50,    3181.36,             7731.64,    62.08,  28404.28,           26280.59,     -0.45,      1.54,           2.86,  +0.73,  +0.42
  4,     UK003K,       0,  0.342373, 2459503.397494412959, 356.09709,  10.60780,              160.76489,  48.78131,       160.74938,       48.78322,    356.09709,     +10.60780,     356.10827,      +10.61185,  4010562.77, -1174092.41,  4917214.51,      49.827732,       -4.045468,   87322.30,  115314.63,    4136.84,             8687.12,   -22.91,  23716.27,           25972.48,      5.92,    -20.07,          37.43,  +0.63,  +0.32
  5,     UK003K,       0,  0.382677, 2459503.397494879551, 356.27423,  10.16103,              160.65208,  48.30761,       160.62492,       48.31096,    356.27423,     +10.16103,     356.29303,      +10.16817,  4010467.40, -1173708.30,  4916285.20,      49.823766,       -4.040949,   86483.44,  115025.67,    5146.92,             9697.20,   -53.71,  25061.49,           25754.30,     10.44,    -35.38,          66.14,  +0.67,  +0.37
  6,     UK003K,       0,  0.423041, 2459503.397495346610, 356.50989,   9.61686,              160.48798,  47.72626,       160.47265,       47.72815,    356.50989,      +9.61686,     356.52146,       +9.62093,  4010350.45, -1173237.29,  4915145.66,      49.818901,       -4.035369,   85454.89,  114683.02,    6385.50,            10935.78,   142.43,  30685.25,           26205.49,      5.93,    -20.12,          37.73,  +1.13,  +0.83
  7,     UK003K,       0,  0.463281, 2459503.397495812736, 356.65749,   9.26028,              160.39151,  47.34665,       160.37812,       47.34830,    356.65749,      +9.26028,     356.66805,       +9.26386,  4010274.51, -1172931.45,  4914405.73,      49.815742,       -4.031805,   84787.00,  114466.11,    7189.74,            11740.02,   -92.55,  19986.09,           25876.05,      5.21,    -17.68,          33.21,  +1.19,  +0.90

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.