Orbital Analysis for matched events on 20211103_205544.883_UK

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Summary for Event
-----------------
shower ID 557 SFD
Lg 2.84° Bg 72.97° Vg 21.12km/s
mass 0.11838g, abs. mag 0.5
best visual mag 1.8
Path Details
------------
start -2.40° 52.33° 90.22km
end   -2.35° 52.30° 79.38km

Orbit Details
-------------
Semimajor axis 4.33A.U., eccentricity 0.78, inclination 30.79°, Period 9.02Y, LA Sun 221.36°, last Perihelion 2012-11-08

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: 2459522.372047268320
Time: 2021-11-03 20:55:44.894202 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 31.74132 deg
 R.A. = 311.36123  Dec = +63.48630 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 31.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3945102.73 +/- 62.47 m
 Y =   -354188.52 +/- 34.27 m
 Z =   5097087.59 +/- 117.23 m
 Vx =     7477.81 +/- 367.52 m/s
 Vy =    -8327.62 +/- 32.68 m/s
 Vz =    21076.09 +/- 380.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.417864e+03, +8.580806e+02, -5.087218e+03, +9.228207e+03, +4.530571e+03, -1.824463e+04
+8.580806e+02, +1.141610e+03, -2.064801e+03, +2.200025e+03, +2.697470e+03, -4.682115e+03
-5.087218e+03, -2.064801e+03, +1.231928e+04, -1.513607e+04, -6.319744e+03, +3.362562e+04
+9.228207e+03, +2.200025e+03, -1.513607e+04, +3.505370e+04, +1.413413e+04, -6.651505e+04
+4.530571e+03, +2.697470e+03, -6.319744e+03, +1.413413e+04, +1.123429e+04, -2.955899e+04
-1.824463e+04, -4.682115e+03, +3.362562e+04, -6.651505e+04, -2.955899e+04, +1.577420e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: 0.002088 s

Reference point on the trajectory:
  Time: 2021-11-03 20:55:44.894202 UTC
  Lon     = +-2.399428 +/- 0.0005 deg
  Lat     = +52.332759 +/- 0.0010 deg
  Lat geo = +52.149056 +/- 0.0010 deg
  Ht      =   90368.78 +/- 67.49 m

  JD dynamic   = 2459522.372848127503 
  LST apparent = 354.8697799043 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 311.92237 +/- 1.0262 deg
  Dec       = +62.02986 +/- 0.5417 deg
  Azimuth   = 309.97997 +/- 1.1995 deg
  Elevation = +65.35337 +/- 0.4996 deg
  Vavg      =  23.05811 +/- 0.2428 km/s
  Vinit     =  23.86354 +/- 0.3147 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 313.02393 +/- 1.0262 deg
  Dec       = +62.44443 +/- 0.5417 deg
  Azimuth   = 311.07263 +/- 1.1995 deg
  Elevation = +65.83434 +/- 0.4996 deg
  Vavg      =  22.96738 +/- 0.2428 km/s
  Vinit     =  23.77281 +/- 0.3147 km/s
Radiant (geocentric, J2000):
  R.A.   = 308.54677 +/- 1.0535 deg
  Dec    = +62.01189 +/- 0.5495 deg
  Vg     =  21.11810 +/- 0.3534 km/s
  Vinf   =  23.86354 +/- 0.3147 km/s
  Zc     =  24.76503 +/- 0.5021 deg
  Zg     =  26.30044 +/- 0.4933 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   2.83558 +/- 1.1031 deg
  Bg     = +72.97451 +/- 0.6622 deg
  Vh     =  39.79927 +/- 0.0940 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 320.20296 +/- 0.1375 deg
  Bh     = +30.48816 +/- 0.6188 deg
  Vh_x   = -26.35048 +/- 0.1584 km/s
  Vh_y   =  21.95209 +/- 0.1079 km/s
  Vh_z   = -20.19257 +/- 0.4066 km/s
Orbit:
  La Sun = 221.359953 +/- -0.0000 deg
  a      =   4.333558 +/- 0.1765 AU
  e      =   0.775705 +/- 0.0081
  i      =  30.788636 +/- 0.6187 deg
  peri   = 197.446627 +/- 0.3869 deg
  node   = 221.359091 +/- 0.0000 deg
  Pi     =  58.805719 +/- 0.3869 deg
  q      =   0.971996 +/- 0.0008 AU
  f      = 342.553777 +/- 0.3869 deg
  M      = 358.590227 +/- 0.0991 deg
  Q      =   7.695120 +/- 0.3524 AU
  n      =   0.109254 +/- 0.0059 deg/day
  T      =   9.021267 +/- 0.5663 years
  Last perihelion JD = 2456240.201248 (2012-11-08 16:49:47.857488) +/- 207.0966 days
  Tj     =   2.190368 +/- 0.0467
Shower association:
  IAU No.  =  557
  IAU code =  SFD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.269269e-05, +3.583384e-06, -2.081185e+00, +5.874025e-08, -2.100162e-03, +4.427465e-03
q   , +3.583384e-06, +6.041255e-07, -9.826112e-02, +4.282894e-09, -2.882939e-04, +3.265918e-04
Tp  , -2.081185e+00, -9.826112e-02, +5.256801e+04, -1.525645e-03, +5.641199e+01, -1.150987e+02
node, +5.874025e-08, +4.282894e-09, -1.525645e-03, +7.078980e-11, -2.253107e-06, +5.378404e-06
peri, -2.100162e-03, -2.882939e-04, +5.641199e+01, -2.253107e-06, +1.400626e-01, -1.714906e-01
i   , +4.427465e-03, +3.265918e-04, -1.150987e+02, +5.378404e-06, -1.714906e-01, +4.087410e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001379
 a2 = 23.831256

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 9.295e-06 s
  Stddev    = 3.05e-03 s

Begin point on the trajectory:
  Lon =    -2.398682 +/- 0.0004 deg
  Lat =    52.332376 +/- 0.0009 deg
  Ht  = 90222.01 +/- 36.34 m
End point on the trajectory:
  Lon =    -2.345685 +/- 0.0004 deg
  Lat =    52.304001 +/- 0.0008 deg
  Ht  = 79384.55 +/- 42.40 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.051078,  16.324172,    89602.44,    79405.66,          0.011512,     35.23,     13.82,              41.88, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20211103_205540_905_0332800.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.001395,  24.025971,    90222.01,    79384.55,          0.016724,     44.73,     31.40,              51.72, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20211103_205535_446_0326912.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,     UK000S,       1,  0.000000, 2459522.372047268320, 205.71132,  63.84357,              345.56600,  27.11009,       345.54785,       27.10398,    205.71132,     +63.84357,     205.74059,      +63.83209,  3945108.13,  -354194.53,  5097102.81,      52.332800,       -2.399465,   90384.44,  193309.83,       0.00,               17.23,   164.81,      0.00,           22603.35,    -21.32,     54.24,          62.18,  +5.18,  +3.75
  1,     UK000S,       0,  0.040148, 2459522.372047733050, 205.48527,  63.70136,              345.61408,  26.94166,       345.61290,       26.94126,    205.48527,     +63.70136,     205.48734,      +63.70061,  3944838.52,  -353894.28,  5096342.91,      52.330757,       -2.395655,   89602.44,  192680.91,     860.40,              843.17,    32.67,  21430.64,           22603.35,     -1.38,      3.52,           4.05,  +5.16,  +3.74
  2,     UK000S,       0,  0.080296, 2459522.372048197780, 205.26408,  63.56086,              345.66161,  26.77554,       345.67683,       26.78066,    205.26408,     +63.56086,     205.23986,      +63.57041,  3944574.18,  -353599.90,  5095597.88,      52.328753,       -2.391923,   88835.75,  192066.05,    1703.96,             1686.73,   -81.83,  21011.43,           22603.35,     17.78,    -45.30,          52.26,  +2.71,  +1.29
  3,     UK000S,       0,  0.120468, 2459522.372048662510, 204.92686,  63.41105,              345.76098,  26.58262,       345.75685,       26.58123,    204.92686,     +63.41105,     204.93402,      +63.40847,  3944248.19,  -353236.87,  5094679.10,      52.326281,       -2.387280,   87890.26,  191309.53,    2744.26,             2727.03,    -0.18,  25896.12,           22603.35,     -4.81,     12.25,          14.19,  +2.67,  +1.26
  4,     UK000S,       0,  0.160664, 2459522.372049127705, 204.63044,  63.22119,              345.82738,  26.35849,       345.84398,       26.36406,    204.63044,     +63.22119,     204.60434,      +63.23152,  3943896.13,  -352844.79,  5093686.80,      52.323611,       -2.382252,   86869.15,  190495.24,    3867.80,             3850.57,   164.13,  27951.37,           23950.37,     19.28,    -49.15,          57.16,  +2.21,  +0.81
  5,     UK000S,       0,  0.200784, 2459522.372049592435, 204.35820,  63.12435,              345.91931,  26.22553,       345.90056,       26.21923,    204.35820,     +63.12435,     204.38929,      +63.11271,  3943663.25,  -352585.45,  5093030.44,      52.321843,       -2.378982,   86193.71,  189959.19,    4610.97,             4593.74,   -50.10,  18523.68,           23560.60,    -21.77,     55.43,          64.67,  +2.39,  +1.00
  6,     UK000S,       0,  0.240948, 2459522.372050057165, 204.12271,  62.95925,              345.96903,  26.03405,       345.97317,       26.03544,    204.12271,     +62.95925,     204.11702,      +62.96181,  3943369.50,  -352258.32,  5092202.53,      52.319614,       -2.374813,   85341.76,  189284.31,    5548.38,             5531.15,   -71.14,  23339.59,           23397.67,      4.80,    -12.23,          14.32,  +2.12,  +0.73
  7,     UK000S,       0,  0.281116, 2459522.372050521895, 203.85179,  62.80081,              346.03942,  25.84340,       346.04778,       25.84621,    203.85179,     +62.80081,     203.83950,      +62.80596,  3943069.27,  -351923.97,  5091356.32,      52.317334,       -2.370548,   84471.00,  188596.74,    6506.50,             6489.27,   -71.57,  23852.84,           23367.72,      9.65,    -24.59,          28.89,  +1.97,  +0.59
  8,     UK000S,       0,  0.321296, 2459522.372050987091, 203.55641,  62.63036,              346.11856,  25.63772,       346.12865,       25.64110,    203.55641,     +62.63036,     203.54150,      +62.63655,  3942746.32,  -351564.31,  5090446.08,      52.314881,       -2.365946,   83534.36,  187859.55,    7537.12,             7519.89,     0.21,  25650.13,           23505.98,     11.61,    -29.60,          34.91,  +1.83,  +0.46
  9,     UK000S,       0,  0.361472, 2459522.372051451821, 203.27193,  62.46542,              346.19600,  25.43891,       346.20654,       25.44245,    203.27193,     +62.46542,     203.25647,      +62.47186,  3942436.01,  -351218.75,  5089571.51,      52.312523,       -2.361530,   82634.42,  187153.91,    8527.37,             8510.14,    31.72,  24647.76,           23638.67,     12.11,    -30.87,          36.55,  +1.89,  +0.53
 10,     UK000S,       0,  0.401640, 2459522.372051917017, 203.00336,  62.30690,              346.26946,  25.24860,       346.28062,       25.25234,    203.00336,     +62.30690,     202.98706,      +62.31369,  3942141.32,  -350890.56,  5088740.91,      52.310283,       -2.357344,   81779.75,  186486.23,    9467.81,             9450.58,    13.61,  23412.81,           23700.76,     12.79,    -32.63,          38.77,  +1.80,  +0.45
 11,     UK000S,       0,  0.441788, 2459522.372052381746, 202.76529,  62.16340,              346.33463,  25.07711,       346.34671,       25.08115,    202.76529,     +62.16340,     202.74771,      +62.17073,  3941877.85,  -350597.15,  5087998.32,      52.308279,       -2.353619,   81015.62,  185891.51,   10308.62,            10291.39,  -103.65,  20942.69,           23630.55,     13.81,    -35.22,          41.98,  +1.90,  +0.55
 12,     UK000S,       0,  0.481952, 2459522.372052846476, 202.51771,  62.00210,              346.39933,  24.88733,       346.41910,       24.89395,    202.51771,     +62.00210,     202.48794,      +62.01404,  3941591.64,  -350278.42,  5087191.65,      52.306102,       -2.349557,   80185.57,  185247.38,   11221.98,            11204.75,  -148.75,  22740.67,           23558.77,     22.54,    -57.53,          68.80,  +1.92,  +0.58
 13,     UK000S,       0,  0.522104, 2459522.372053311206, 202.23445,  61.86847,              346.49240,  24.71857,       346.48714,       24.71681,    202.23445,     +61.86847,     202.24509,      +61.86530,  3941322.72,  -349978.94,  5086433.71,      52.304056,       -2.345750,   79405.66,  184644.34,   12080.16,            12062.93,  -248.74,  21373.40,           23451.24,     -6.00,     15.30,          18.35,  +2.99,  +1.66
  0,     UK001Z,       0,  0.012290, 2459522.372047386598, 146.41217,  64.65266,               13.06057,  27.54204,        13.05433,       27.53910,    146.41217,     +64.65266,     146.42669,      +64.65173,  3945052.13,  -354132.17,  5096944.98,      52.332376,       -2.398682,   90222.01,  190200.97,       0.00,              161.48,    15.77,      0.00,           23032.41,    -11.95,     17.03,          22.56,  +4.59,  +3.19
  1,     UK001Z,       0,  0.052486, 2459522.372047851793, 146.41156,  64.40156,               13.15497,  27.30533,        13.18243,       27.31821,    146.41156,     +64.40156,     146.34860,      +64.40559,  3944726.50,  -353769.53,  5096027.20,      52.329908,       -2.394046,   89277.55,  189572.97,    1039.16,             1200.64,    95.71,  25852.21,           23032.41,     52.43,    -74.73,          99.32,  +4.60,  +3.21
  2,     UK001Z,       0,  0.092610, 2459522.372048316058, 146.34186,  64.23464,               13.24943,  27.15795,        13.26866,       27.16697,    146.34186,     +64.23464,     146.29821,      +64.23745,  3944504.70,  -353522.52,  5095402.05,      52.328226,       -2.390941,   88634.22,  189146.48,    1746.99,             1908.47,  -153.96,  17641.21,           23032.41,     36.67,    -52.26,          69.62,  +3.92,  +2.54
  3,     UK001Z,       0,  0.132786, 2459522.372048781253, 146.15065,  63.97786,               13.43396,  26.94371,        13.40514,       26.93019,    146.15065,     +63.97786,     146.21668,      +63.97369,  3944159.89,  -353138.53,  5094430.22,      52.325612,       -2.386020,   87634.15,  188488.13,    2847.35,             3008.83,   -12.34,  27388.45,           23032.41,    -54.88,     78.17,         104.52,  +3.23,  +1.85
  4,     UK001Z,       0,  0.172974, 2459522.372049246449, 146.13424,  63.73918,               13.53090,  26.72114,        13.52600,       26.71884,    146.13424,     +63.73918,     146.14602,      +63.73848,  3943854.24,  -352798.15,  5093568.76,      52.323293,       -2.381677,   86747.66,  187907.69,    3822.74,             3984.22,     4.03,  24270.81,           23536.39,     -9.33,     13.29,          17.82,  +2.61,  +1.24
  5,     UK001Z,       0,  0.213126, 2459522.372049711179, 146.04031,  63.53079,               13.65273,  26.53864,        13.63340,       26.52958,    146.04031,     +63.53079,     146.08454,      +63.52803,  3943582.18,  -352495.17,  5092801.96,      52.321228,       -2.377828,   85958.60,  187393.47,    4690.95,             4852.43,   -85.94,  21622.98,           23407.08,    -36.68,     52.25,          70.27,  +2.86,  +1.50
  6,     UK001Z,       0,  0.253310, 2459522.372050175909, 145.99649,  63.28455,               13.76523,  26.31309,        13.75819,       26.30979,    145.99649,     +63.28455,     146.01322,      +63.28354,  3943268.33,  -352145.65,  5091917.37,      52.318846,       -2.373362,   85048.33,  186803.86,    5692.54,             5854.02,   -43.28,  24925.05,           23523.61,    -13.34,     19.01,          25.64,  +2.77,  +1.41
  7,     UK001Z,       0,  0.293514, 2459522.372050641570, 145.94710,  63.01910,               13.88743,  26.07033,        13.89247,       26.07269,    145.94710,     +63.01910,     145.93719,      +63.01981,  3942932.15,  -351771.27,  5090969.86,      52.316293,       -2.368566,   84073.34,  186176.35,    6765.36,             6926.84,    70.13,  26684.42,           23835.83,      9.51,    -13.56,          18.35,  +2.25,  +0.90
  8,     UK001Z,       0,  0.333674, 2459522.372051106300, 145.83008,  62.79084,               14.02816,  25.87300,        14.00953,       25.86428,    145.83008,     +62.79084,     145.87238,      +62.78823,  3942638.60,  -351444.35,  5090142.48,      52.314062,       -2.364398,   83221.96,  185631.36,    7702.16,             7863.64,    48.57,  23326.81,           23947.55,    -35.17,     50.10,          68.02,  +2.73,  +1.39
  9,     UK001Z,       0,  0.373854, 2459522.372051571030, 145.84144,  62.56373,               14.10696,  25.65720,        14.12145,       25.66397,    145.84144,     +62.56373,     145.81138,      +62.56575,  3942358.15,  -351132.03,  5089352.04,      52.311931,       -2.360423,   82408.59,  185113.47,    8597.15,             8758.63,   -15.28,  22274.39,           23913.14,     27.29,    -38.90,          52.94,  +2.60,  +1.26
 10,     UK001Z,       0,  0.414026, 2459522.372052036226, 145.69402,  62.31321,               14.27104,  25.44389,        14.24991,       25.43401,    145.69402,     +62.31321,     145.74154,      +62.31028,  3942038.33,  -350775.87,  5088450.64,      52.309500,       -2.355865,   81481.07,  184526.74,    9617.77,             9779.25,    46.69,  25406.18,           23962.24,    -39.74,     56.62,          77.32,  +1.92,  +0.59
 11,     UK001Z,       0,  0.454182, 2459522.372052500956, 145.66688,  62.10904,               14.35984,  25.25572,        14.35074,       25.25147,    145.66688,     +62.10904,     145.68839,      +62.10778,  3941785.89,  -350494.74,  5087739.15,      52.307580,       -2.352303,   80748.94,  184065.69,   10423.36,            10584.84,  -105.98,  20061.59,           23840.61,    -17.09,     24.36,          33.35,  +2.48,  +1.16
 12,     UK001Z,       0,  0.494346, 2459522.372052965686, 145.62872,  61.89388,               14.45799,  25.05895,        14.45711,       25.05854,    145.62872,     +61.89388,     145.63265,      +61.89376,  3941520.58,  -350199.28,  5086991.36,      52.305562,       -2.348550,   79979.47,  183583.78,   11270.04,            11431.52,  -217.75,  21080.71,           23676.13,     -1.64,      2.34,           3.21,  +2.46,  +1.14
 13,     UK001Z,       0,  0.534462, 2459522.372053429950, 145.55328,  61.73017,               14.55547,  24.91660,        14.53864,       24.90874,    145.55328,     +61.73017,     145.59144,      +61.72787,  3941315.46,  -349970.85,  5086413.25,      52.304001,       -2.345685,   79384.55,  183212.38,   11924.62,            12086.10,  -520.49,  16316.95,           23362.82,    -31.55,     44.96,          61.84,  +5.05,  +3.74

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.