Orbital Analysis for matched events on 20210929_222127.292_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 314.90° Bg 70.77° Vg 19.45km/s
mass 0.06989g, abs. mag 1.2
Path Details
------------
start -2.47° 49.70° 94.62km
end   -2.40° 49.68° 84.98km

Orbit Details
-------------
Semimajor axis 4.32A.U., eccentricity 0.77, inclination 27.85°, Period 8.99Y, LA Sun 186.69°, last Perihelion 2012-10-14

Full details below
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Detailed report below graphs

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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: 2459487.431565881241
Time: 2021-09-29 22:21:27.345287 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0025
 Convergence angle = 27.47369 deg
 R.A. = 296.31258  Dec = +51.94384 deg

Best intersection: Stations UK000H and UK0025 with Qconv = 27.47 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3985098.09 +/- 136.14 m
 Y =  -1311708.90 +/- 53.23 m
 Z =   4914018.04 +/- 46.70 m
 Vx =     5893.24 +/- 492.84 m/s
 Vy =   -12700.90 +/- 91.44 m/s
 Vz =    17484.94 +/- 464.94 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.973221e+04, -5.802279e+03, -4.445980e+03, +6.342909e+04, -3.120147e+04, +8.766650e+03
-5.802279e+03, +2.977697e+03, +1.861960e+03, -2.040412e+04, +1.330632e+04, -2.159497e+03
-4.445980e+03, +1.861960e+03, +2.055716e+03, -1.788173e+04, +1.089134e+04, -1.953200e+03
+6.342909e+04, -2.040412e+04, -1.788173e+04, +2.452999e+05, -1.244041e+05, +3.172264e+04
-3.120147e+04, +1.330632e+04, +1.089134e+04, -1.244041e+05, +7.458186e+04, -1.734392e+04
+8.766650e+03, -2.159497e+03, -1.953200e+03, +3.172264e+04, -1.734392e+04, +9.940095e+03

Timing offsets (from input data):
    UK000H: -0.000821 s
    UK0025: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 22:21:27.345287 UTC
  Lon     = +-2.476493 +/- 0.0004 deg
  Lat     = +49.697542 +/- 0.0012 deg
  Lat geo = +49.510407 +/- 0.0012 deg
  Ht      =   95567.25 +/- 69.71 m

  JD dynamic   = 2459487.432367237285 
  LST apparent = 341.7808600284 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 294.89140 +/- 1.3517 deg
  Dec       = +51.31305 +/- 0.8242 deg
  Azimuth   = 291.43064 +/- 2.1255 deg
  Elevation = +60.64540 +/- 0.6174 deg
  Vavg      =  21.21542 +/- 0.1725 km/s
  Vinit     =  22.40014 +/- 0.3345 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 295.76077 +/- 1.3517 deg
  Dec       = +51.75855 +/- 0.8242 deg
  Azimuth   = 292.02940 +/- 2.1255 deg
  Elevation = +61.28293 +/- 0.6174 deg
  Vavg      =  21.07748 +/- 0.1725 km/s
  Vinit     =  22.26220 +/- 0.3345 km/s
Radiant (geocentric, J2000):
  R.A.   = 291.52035 +/- 1.5776 deg
  Dec    = +50.66719 +/- 0.8224 deg
  Vg     =  19.45225 +/- 0.3852 km/s
  Vinf   =  22.40014 +/- 0.3345 km/s
  Zc     =  29.42345 +/- 0.6233 deg
  Zg     =  31.54244 +/- 0.7347 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 314.89784 +/- 1.6479 deg
  Bg     = +70.76752 +/- 1.1737 deg
  Vh     =  39.57589 +/- 0.3988 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 283.97790 +/- 0.6898 deg
  Bh     = +27.65459 +/- 0.1309 deg
  Vh_x   =  -8.46740 +/- 0.4918 km/s
  Vh_y   =  34.01680 +/- 0.2246 km/s
  Vh_z   = -18.36876 +/- 0.2331 km/s
Orbit:
  La Sun = 186.691111 +/- 0.0000 deg
  a      =   4.323806 +/- 0.8249 AU
  e      =   0.771710 +/- 0.0356
  i      =  27.845907 +/- 0.1522 deg
  peri   = 194.819938 +/- 0.9941 deg
  node   = 186.693642 +/- 0.0000 deg
  Pi     =  21.513579 +/- 0.9941 deg
  q      =   0.987081 +/- 0.0025 AU
  f      = 345.177318 +/- 0.9941 deg
  M      = 358.773406 +/- 0.2403 deg
  Q      =   7.660532 +/- 1.6521 AU
  n      =   0.109624 +/- 0.0249 deg/day
  T      =   8.990834 +/- 2.8022 years
  Last perihelion JD = 2456214.661989 (2012-10-14 03:53:15.852068) +/- 1022.9826 days
  Tj     =   2.228756 +/- 0.1775
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.275371e-03, -8.376522e-05, -3.195795e+01, -7.743566e-09, +5.718318e-04, +7.422719e-05
q   , -8.376522e-05, +6.284558e-06, +2.186677e+00, +5.060950e-10, -4.366635e-05, -4.864274e-06
Tp  , -3.195795e+01, +2.186677e+00, +9.021991e+05, +1.386877e-04, -1.468840e+01, -1.326300e+00
node, -7.743566e-09, +5.060950e-10, +1.386877e-04, +9.229057e-14, -3.660066e-09, -8.882053e-10
peri, +5.718318e-04, -4.366635e-05, -1.468840e+01, -3.660066e-09, +3.052991e-04, +3.520266e-05
i   , +7.422719e-05, -4.864274e-06, -1.326300e+00, -8.882053e-10, +3.520266e-05, +8.548470e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.366766
 a2 = 12.208329

Mean time residuals from time vs. length:
  Station with reference time: UK0025
  Avg. res. = 8.113e-06 s
  Stddev    = 2.85e-03 s

Begin point on the trajectory:
  Lon =    -2.469704 +/- 0.0005 deg
  Lat =    49.695813 +/- 0.0010 deg
  Ht  = 94617.85 +/- 91.90 m
End point on the trajectory:
  Lon =    -2.402904 +/- 0.0002 deg
  Lat =    49.678219 +/- 0.0010 deg
  Ht  = 84984.14 +/- 90.25 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.888486,  10.438185,    94617.85,    84984.14,          0.023884,     68.68,      0.76,              59.44, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_222126_296_0357632.fits"}
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.034492,  16.754341,    93484.83,    85284.79,          0.010364,     29.14,      6.05,              72.74, 1.0000,    True,    True, {"ff_name": "FF_UK0025_20210929_222124_982_0323072.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,     UK000H,       0,  0.052309, 2459487.431566496380, 324.96571,  -3.54725,              201.12734,  33.56290,       201.14554,       33.55257,    324.96571,      -3.54725,     324.94877,       -3.55385,  3984811.52, -1311091.28,  4913167.78,      49.695813,       -2.469704,   94617.85,  168397.59,       0.00,             1089.28,   298.45,      0.00,           19300.07,     -0.55,     53.94,          66.08,  +5.72,  +4.59
  1,     UK000H,       0,  0.092465, 2459487.431566961110, 325.03459,  -3.78246,              200.98304,  33.34946,       200.98466,       33.34854,    325.03459,      -3.78246,     325.03345,       -3.78305,  3984593.86, -1310622.20,  4912522.02,      49.694500,       -2.464715,   93896.80,  167995.96,     827.30,             1916.58,   226.25,  20602.15,           19300.07,     -0.05,      4.79,           5.88,  +4.14,  +3.01
  2,     UK000H,       0,  0.132569, 2459487.431567425374, 325.14050,  -3.96763,              200.80993,  33.19291,       200.84689,       33.17197,    325.14050,      -3.96763,     325.10612,       -3.98108,  3984406.62, -1310218.66,  4911966.48,      49.693369,       -2.460445,   93276.50,  167653.39,    1539.00,             2628.28,    39.61,  17746.34,           19300.07,     -1.11,    109.31,         134.50,  +4.40,  +3.28
  3,     UK000H,       0,  0.172745, 2459487.431567890104, 325.17689,  -4.21089,              200.70260,  32.96399,       200.69021,       32.97100,    325.17689,      -4.21089,     325.18935,       -4.20638,  3984194.53, -1309761.56,  4911337.20,      49.692089,       -2.455586,   92573.88,  167267.63,    2345.17,             3434.45,   -54.16,  20066.07,           19300.07,      0.39,    -36.59,          45.12,  +3.92,  +2.80
  4,     UK000H,       0,  0.212905, 2459487.431568355300, 325.28830,  -4.47436,              200.50383,  32.73190,       200.50391,       32.73185,    325.28830,      -4.47436,     325.28912,       -4.47438,  3983943.50, -1309220.56,  4910592.42,      49.690572,       -2.449803,   91742.31,  166814.24,    3299.32,             4388.60,     0.40,  23758.71,           20217.11,     -0.00,      0.23,           0.29,  +2.93,  +1.82
  5,     UK000H,       0,  0.253061, 2459487.431568820029, 325.34617,  -4.70479,              200.37652,  32.51993,       200.35163,       32.53399,    325.34617,      -4.70479,     325.37088,       -4.69570,  3983737.19, -1308775.93,  4909980.32,      49.689325,       -2.445079,   91058.89,  166445.35,    4083.49,             5172.77,  -114.93,  19528.00,           20380.55,      0.79,    -73.38,          90.94,  +3.48,  +2.37
  6,     UK000H,       0,  0.293225, 2459487.431569284759, 325.46078,  -4.97255,              200.17494,  32.28377,       200.16380,       32.29006,    325.46078,      -4.97255,     325.47261,       -4.96847,  3983484.18, -1308230.65,  4909229.64,      49.687795,       -2.439247,   90220.77,  165996.03,    5045.20,             6134.47,   -52.91,  23944.47,           20820.90,      0.35,    -32.81,          40.77,  +2.11,  +1.01
  7,     UK000H,       0,  0.333389, 2459487.431569749489, 325.57468,  -5.23811,              199.97588,  32.04925,       199.97851,       32.04777,    325.57468,      -5.23811,     325.57357,       -5.23908,  3983234.50, -1307692.55,  4908488.86,      49.686284,       -2.433493,   89393.71,  165556.89,    5994.22,             7083.50,    -3.56,  23628.74,           21238.41,     -0.08,      7.74,           9.64,  +2.03,  +0.94
  8,     UK000H,       0,  0.373545, 2459487.431570214219, 325.68617,  -5.49498,              199.78290,  31.82235,       199.80006,       31.81269,    325.68617,      -5.49498,     325.67134,       -5.50128,  3982993.80, -1307173.80,  4907774.72,      49.684828,       -2.427950,   88596.42,  165137.66,    6909.11,             7998.39,    11.83,  22783.44,           21536.23,     -0.53,     50.42,          62.98,  +2.03,  +0.94
  9,     UK000H,       0,  0.413717, 2459487.431570679415, 325.75337,  -5.74900,              199.64224,  31.58852,       199.63454,       31.59285,    325.75337,      -5.74900,     325.76246,       -5.74617,  3982770.07, -1306691.64,  4907110.93,      49.683473,       -2.422810,   87855.34,  164751.76,    7759.50,             8848.77,   -37.64,  21168.61,           21667.77,      0.24,    -22.58,          28.27,  +2.03,  +0.95
 10,     UK000H,       0,  0.453865, 2459487.431571144145, 325.83424,  -5.98200,              199.49200,  31.37794,       199.47929,       31.38508,    325.83424,      -5.98200,     325.84832,       -5.97732,  3982559.83, -1306238.52,  4906487.14,      49.682199,       -2.417988,   87158.92,  164392.44,    8558.64,             9647.92,  -137.82,  19904.89,           21659.40,      0.40,    -37.27,          46.76,  +2.10,  +1.02
 11,     UK000H,       0,  0.494017, 2459487.431571608875, 325.93151,  -6.22799,              199.32067,  31.15789,       199.31321,       31.16208,    325.93151,      -6.22799,     325.94075,       -6.22523,  3982335.35, -1305754.73,  4905821.12,      49.680839,       -2.412827,   86415.37,  164011.93,    9411.89,            10501.17,  -183.98,  21250.52,           21638.85,      0.24,    -21.87,          27.50,  +2.12,  +1.05
 12,     UK000H,       0,  0.534177, 2459487.431572073605, 326.01380,  -6.47759,              199.16635,  30.93094,       199.14921,       30.94055,    326.01380,      -6.47759,     326.03252,       -6.47126,  3982113.58, -1305276.78,  4905163.14,      49.679495,       -2.407730,   85680.81,  163639.50,   10254.83,            11344.11,  -240.63,  20989.55,           21605.02,      0.55,    -50.16,          63.23,  +2.64,  +1.57
 13,     UK000H,       0,  0.574353, 2459487.431572538335, 326.05499,  -6.72954,              199.05871,  30.69302,       198.99394,       30.72928,    326.05499,      -6.72954,     326.11982,       -6.70560,  3981903.25, -1304823.48,  4904539.11,      49.678219,       -2.402904,   84984.14,  163289.62,   11054.29,            12143.57,  -341.12,  19898.95,           21534.98,      2.17,   -189.39,         239.25,  +4.16,  +3.10
  0,     UK0025,       1,  0.000000, 2459487.431565881241, 353.35009,  -3.80499,              165.39484,  34.35043,       165.39435,       34.35062,    353.35009,      -3.80499,     353.35047,       -3.80474,  3985091.03, -1311693.69,  4913997.10,      49.697499,       -2.476104,   95543.87,  166589.12,       0.00,               26.83,   407.74,      0.00,           20923.90,     -0.27,     -1.28,           1.61,  +6.15,  +5.04
  1,     UK0025,       0,  0.120660, 2459487.431567277759, 353.77229,  -4.45879,              165.02098,  33.63720,       165.01902,       33.63794,    353.77229,      -4.45879,     353.77429,       -4.45779,  3984469.51, -1310354.19,  4912153.06,      49.693749,       -2.461882,   93484.83,  165948.60,    2362.42,             2389.25,    67.36,  19579.15,           20923.90,     -1.06,     -5.09,           6.46,  +4.88,  +3.78
  2,     UK0025,       0,  0.201148, 2459487.431568209548, 354.10474,  -4.93291,              164.72347,  33.11485,       164.74307,       33.10750,    354.10474,      -4.93291,     354.09056,       -4.94289,  3984010.69, -1309365.36,  4910791.76,      49.690978,       -2.451343,   91964.88,  165496.04,    4106.39,             4133.22,     8.39,  21667.47,           20923.90,     10.57,     50.87,          64.75,  +3.47,  +2.38
  3,     UK0025,       1,  0.241432, 2459487.431568675674, 354.23008,  -5.23988,              164.63801,  32.79131,       164.58916,       32.80961,    354.23008,      -5.23988,     354.26865,       -5.21494,  3983754.38, -1308812.97,  4910031.31,      49.689429,       -2.445435,   91115.83,  165250.90,    5080.62,             5107.45,    80.25,  24183.93,           20923.90,    -26.31,   -126.95,         161.83,  +3.67,  +2.58
  4,     UK0025,       0,  0.281656, 2459487.431569141336, 354.41949,  -5.44154,              164.45764,  32.56070,       164.46143,       32.55928,    354.41949,      -5.44154,     354.41774,       -5.44349,  3983539.62, -1308350.14,  4909394.14,      49.688130,       -2.440510,   90404.43,  165049.15,    5896.90,             5923.74,    -4.49,  20293.54,           21065.12,      2.05,      9.88,          12.61,  +3.10,  +2.01
  5,     UK0025,       0,  0.321916, 2459487.431569606997, 354.59360,  -5.69641,              164.30689,  32.28000,       164.31730,       32.27611,    354.59360,      -5.69641,     354.58691,       -5.70175,  3983297.50, -1307828.34,  4908675.79,      49.686666,       -2.434936,   89602.42,  164826.54,    6817.18,             6844.02,    13.96,  22858.42,           21260.41,      5.63,     27.11,          34.64,  +2.35,  +1.26
  6,     UK0025,       0,  0.362168, 2459487.431570073124, 354.75712,  -5.94637,              164.16850,  32.00574,       164.17881,       32.00189,    354.75712,      -5.94637,     354.75065,       -5.95168,  3983063.78, -1307324.61,  4907982.33,      49.685251,       -2.429559,   88828.20,  164616.07,    7705.59,             7732.42,     0.71,  22071.00,           21408.53,      5.58,     26.88,          34.40,  +2.50,  +1.42
  7,     UK0025,       0,  0.402396, 2459487.431570538785, 354.89763,  -6.17765,              164.05377,  31.75372,       164.05455,       31.75342,    354.89763,      -6.17765,     354.89871,       -6.17805,  3982852.56, -1306869.42,  4907355.68,      49.683972,       -2.424716,   88128.57,  164429.45,    8508.40,             8535.23,   -97.59,  19956.54,           21412.26,      0.42,      2.03,           2.60,  +2.31,  +1.23
  8,     UK0025,       0,  0.442664, 2459487.431571004447, 355.07514,  -6.44411,              163.90463,  31.46046,       163.90759,       31.45935,    355.07514,      -6.44411,     355.07468,       -6.44565,  3982603.42, -1306332.47,  4906616.48,      49.682463,       -2.418972,   87303.33,  164214.52,    9455.39,             9482.22,   -52.61,  23517.23,           21509.70,      1.61,      7.75,           9.94,  +2.33,  +1.25
  9,     UK0025,       0,  0.482904, 2459487.431571470574, 355.22325,  -6.68618,              163.78517,  31.19619,       163.77867,       31.19862,    355.22325,      -6.68618,     355.23035,       -6.68281,  3982383.12, -1305857.69,  4905962.86,      49.681129,       -2.413911,   86573.62,  164028.40,   10292.75,            10319.58,  -116.63,  20809.16,           21540.32,     -3.53,    -17.01,          21.85,  +2.38,  +1.31
 10,     UK0025,       0,  0.523132, 2459487.431571936235, 355.39475,  -6.90465,              163.63500,  30.95087,       163.65358,       30.94393,    355.39475,      -6.90465,     355.38239,       -6.91433,  3982168.49, -1305395.13,  4905326.07,      49.679828,       -2.408984,   85862.70,  163850.86,   11108.55,            11135.38,  -201.94,  20279.46,           21516.06,     10.10,     48.68,          62.59,  +2.59,  +1.52
 11,     UK0025,       0,  0.563328, 2459487.431572401430, 355.49126,  -7.11084,              163.56834,  30.73084,       163.55310,       30.73653,    355.49126,      -7.11084,     355.50557,       -7.10288,  3981994.02, -1305019.12,  4904808.44,      49.678770,       -2.405010,   85284.79,  163708.79,   11771.69,            11798.53,  -439.19,  16497.71,           21349.64,     -8.28,    -39.97,          51.42,  +3.53,  +2.46

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.