Orbital Analysis for matched events on 20211103_034543.946_UK

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Summary for Event
-----------------
shower ID 22 LMI
Lg 160.85° Bg 28.40° Vg 63.39km/s
mass 0.08100g, abs. mag -1.4
best visual mag 0.3
Path Details
------------
start -5.17° 49.24° 117.23km
end   -5.50° 49.17° 102.37km

Orbit Details
-------------
Semimajor axis -4.16A.U., eccentricity 1.15, inclination 121.07°, Period nanY, LA Sun 220.64°, 

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: 2459521.656758635771
Time: 2021-11-03 03:45:43.974052 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003E and UK003K
 Convergence angle = 5.66023 deg
 R.A. = 176.18071  Dec = +33.43156 deg

Best intersection: Stations UK003E and UK003K with Qconv = 5.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -289413.82 +/- 309.32 m
 Y =   4239088.68 +/- 460.87 m
 Z =   4897711.43 +/- 129.39 m
 Vx =   -53338.63 +/- 516.83 m/s
 Vy =     4998.30 +/- 2110.42 m/s
 Vz =    35658.25 +/- 712.72 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.472182e+04, +6.511500e+04, -2.516442e+04, +1.075843e+05, +2.378505e+05, -3.181508e+04
+6.511500e+04, +8.735709e+04, -2.884723e+04, +1.657420e+05, +3.305442e+05, -5.632014e+04
-2.516442e+04, -2.884723e+04, +1.179664e+04, -4.962603e+04, -1.068518e+05, +1.544834e+04
+1.075843e+05, +1.657420e+05, -4.962603e+04, +5.391041e+05, +7.653987e+05, -2.542872e+05
+2.378505e+05, +3.305442e+05, -1.068518e+05, +7.653987e+05, +1.336144e+06, -3.039228e+05
-3.181508e+04, -5.632014e+04, +1.544834e+04, -2.542872e+05, -3.039228e+05, +1.330871e+05

Timing offsets (from input data):
    UK003E: 0.000000 s
    UK003K: -0.001270 s

Reference point on the trajectory:
  Time: 2021-11-03 03:45:43.974052 UTC
  Lon     = +-5.154689 +/- 0.0046 deg
  Lat     = +49.244024 +/- 0.0036 deg
  Lat geo = +49.057080 +/- 0.0036 deg
  Ht      =  117957.48 +/- 198.34 m

  JD dynamic   = 2459521.657559699845 
  LST apparent = 93.9056739115 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 174.64651 +/- 2.1992 deg
  Dec       = +33.64812 +/- 0.1658 deg
  Azimuth   =  72.42275 +/- 1.2753 deg
  Elevation = +30.47518 +/- 1.4709 deg
  Vavg      =  64.13808 +/- 0.8571 km/s
  Vinit     =  64.35451 +/- 1.0065 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 174.69953 +/- 2.1992 deg
  Dec       = +33.49785 +/- 0.1658 deg
  Azimuth   =  72.51890 +/- 1.2753 deg
  Elevation = +30.34230 +/- 1.4709 deg
  Vavg      =  64.39289 +/- 0.8571 km/s
  Vinit     =  64.60932 +/- 1.0065 km/s
Radiant (geocentric, J2000):
  R.A.   = 174.80324 +/- 2.2055 deg
  Dec    = +33.44154 +/- 0.1764 deg
  Vg     =  63.39208 +/- 1.0222 km/s
  Vinf   =  64.35451 +/- 1.0065 km/s
  Zc     =  59.58144 +/- 1.4748 deg
  Zg     =  60.07568 +/- 1.4840 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 160.85233 +/- 1.9495 deg
  Bg     = +28.39548 +/- 0.6808 deg
  Vh     =  44.73965 +/- 1.4653 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 187.32010 +/- 3.0510 deg
  Bh     = +42.36269 +/- 0.1717 deg
  Vh_x   =  32.78845 +/- 1.0293 km/s
  Vh_y   =   4.21199 +/- 1.7501 km/s
  Vh_z   = -30.14654 +/- 0.9656 km/s
Orbit:
  La Sun = 220.643309 +/- 0.0000 deg
  a      =  -4.159792 +/- 63.6768 AU
  e      =   1.153416 +/- 0.0916
  i      = 121.066973 +/- 2.1557 deg
  peri   = 109.510719 +/- 2.1789 deg
  node   = 220.645681 +/- 0.0000 deg
  Pi     = 330.156400 +/- 2.1790 deg
  q      =   0.638179 +/- 0.0162 AU
  f      =  70.490435 +/- 2.1789 deg
  M      =        nan +/- nan deg
  Q      =  -8.957763 +/- 127.3532 AU
  n      =   0.116171 +/- 0.0740 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.781445 +/- 0.7384
Shower association:
  IAU No.  =   22
  IAU code =  LMI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.001188e-03, -8.311350e-05, +9.292337e-02, -1.494401e-06, +8.980656e-02, -5.920609e-02
q   , -8.311350e-05, +5.045898e-05, -4.613816e-04, +1.235432e-07, +4.579032e-03, +4.948233e-03
Tp  , +9.292337e-02, -4.613816e-04, +2.202320e+00, -3.191786e-05, +2.279906e+00, -1.262925e+00
node, -1.494401e-06, +1.235432e-07, -3.191786e-05, +7.338564e-10, -2.130922e-05, +2.917459e-05
peri, +8.980656e-02, +4.579032e-03, +2.279906e+00, -2.130922e-05, +2.867944e+00, -8.371505e-01
i   , -5.920609e-02, +4.948233e-03, -1.262925e+00, +2.917459e-05, -8.371505e-01, +1.159905e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 5.462734
 a2 = 4.317257

Mean time residuals from time vs. length:
  Station with reference time: UK003E
  Avg. res. = 7.416e-06 s
  Stddev    = 2.72e-03 s

Begin point on the trajectory:
  Lon =    -5.170653 +/- 0.0018 deg
  Lat =    49.240712 +/- 0.0029 deg
  Ht  = 117226.83 +/- 285.18 m
End point on the trajectory:
  Lon =    -5.498538 +/- 0.0063 deg
  Lat =    49.172498 +/- 0.0045 deg
  Ht  = 102372.31 +/- 193.19 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
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   116575.38,   102372.31,          0.011570,     23.98,     70.28,             122.02, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20211103_034538_320_0947712.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   7.462119,   6.398531,   117226.83,   105275.21,          0.004699,      3.73,     15.20,              95.79, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20211103_034541_351_0929536.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,     UK003E,       1,  0.000000, 2459521.656758635771,  52.42314,  -9.74523,              226.84352,  17.71568,       226.83857,       17.71310,     52.42314,      -9.74523,      52.42618,       -9.74971,  -289324.34,  4239080.29,  4897651.61,      49.243776,       -5.155768,  117902.73,  357727.94,       0.00,              107.96,   413.51,      0.00,           60976.48,     31.79,     10.83,          19.36,  +5.30,  +2.53
  1,     UK003E,       0,  0.040288, 2459521.656759101897,  52.12467,  -9.94403,              227.02035,  17.40330,       227.01813,       17.40214,     52.12467,      -9.94403,      52.12619,       -9.94604,  -287154.51,  4238876.96,  4896201.03,      49.237756,       -5.184944,  116575.38,  359133.80,    2617.96,             2725.92,   438.76,  64981.07,           60976.48,     14.31,      4.88,           8.68,  +4.58,  +1.80
  2,     UK003E,       0,  0.080520, 2459521.656759567559,  51.87945, -10.10393,              227.16651,  17.14953,       227.16435,       17.14841,     51.87945,     -10.10393,      51.88111,      -10.10588,  -285372.67,  4238709.98,  4895009.82,      49.232804,       -5.208936,  115485.94,  360299.97,    4767.80,             4875.76,    -0.51,  53436.10,           60976.48,     13.98,      4.76,           8.45,  +2.12,  -0.66
  3,     UK003E,       0,  0.120812, 2459521.656760034151,  51.57049, -10.29821,              227.35314,  16.83592,       227.34571,       16.83205,     51.57049,     -10.29821,      51.57555,      -10.30496,  -283134.91,  4238500.29,  4893513.82,      49.226577,       -5.239029,  114118.49,  361775.35,    7467.71,             7575.68,   106.43,  67008.71,           60976.48,     48.41,     16.50,          29.16,  +1.32,  -1.47
  4,     UK003E,       0,  0.161064, 2459521.656760499813,  51.30066, -10.47057,              227.51393,  16.55946,       227.50439,       16.55450,     51.30066,     -10.47057,      51.30718,      -10.47923,  -281157.73,  4238315.01,  4892192.03,      49.221066,       -5.265641,  112910.95,  363091.72,    9853.24,             9961.20,   -98.45,  59264.71,           60986.60,     62.42,     21.29,          37.46,  +1.16,  -1.64
  5,     UK003E,       0,  0.201356, 2459521.656760966405,  51.00228, -10.67367,              227.68461,  16.24249,       227.68258,       16.24143,     51.00228,     -10.67367,      51.00437,      -10.67552,  -278910.76,  4238104.45,  4890689.87,      49.214793,       -5.295867,  111539.42,  364599.91,   12564.27,            12672.23,    19.61,  67284.64,           61889.84,     13.36,      4.55,           7.99,  +1.35,  -1.46
  6,     UK003E,       0,  0.241592, 2459521.656761432067,  50.72830, -10.82062,              227.85982,  15.98613,       227.83490,       15.97319,     50.72830,     -10.82062,      50.74461,      -10.84333,  -276971.85,  4237922.75,  4889393.66,      49.209371,       -5.321975,  110356.58,  365913.71,   14903.61,            15011.58,  -230.41,  58140.58,           61810.95,    164.54,     56.17,          98.00,  +1.26,  -1.56
  7,     UK003E,       0,  0.281880, 2459521.656761898194,  50.44522, -11.03266,              228.01041,  15.66797,       228.00814,       15.66679,     50.44522,     -11.03266,      50.44779,      -11.03473,  -274740.37,  4237713.64,  4887901.85,      49.203123,       -5.352003,  108996.03,  367437.27,   17595.96,            17703.92,  -130.78,  66827.38,           62196.35,     15.07,      5.14,           8.94,  +2.19,  -0.64
  8,     UK003E,       0,  0.322156, 2459521.656762364320,  50.14310, -11.21107,              228.19364,  15.37041,       228.17933,       15.36299,     50.14310,     -11.21107,      50.15323,      -11.22415,  -272510.24,  4237504.66,  4886410.95,      49.196867,       -5.382017,  107637.11,  368973.39,   20286.67,            20394.63,   -32.01,  66806.88,           62683.64,     95.48,     32.58,          56.40,  +1.43,  -1.40
  9,     UK003E,       0,  0.362424, 2459521.656762830447,  49.86875, -11.40222,              228.34478,  15.07436,       228.34222,       15.07304,     49.86875,     -11.40222,      49.87183,      -11.40456,  -270365.34,  4237303.66,  4884977.04,      49.190841,       -5.410895,  106330.90,  370463.68,   22874.54,            22982.50,   -35.56,  64266.26,           63018.01,     17.12,      5.84,          10.07,  +1.78,  -1.06
 10,     UK003E,       0,  0.402692, 2459521.656763296574,  49.57214, -11.57564,              228.52362,  14.78333,       228.50875,       14.77562,     49.57214,     -11.57564,      49.58295,      -11.58929,  -268147.81,  4237095.86,  4883494.56,      49.184600,       -5.440751,  104981.25,  372016.93,   25550.05,            25658.01,    48.52,  66442.55,           63356.06,    100.24,     34.21,          58.73,  +1.93,  -0.92
 11,     UK003E,       0,  0.442952, 2459521.656763762701,  49.32119, -11.76954,              228.65084,  14.49550,       228.66197,       14.50128,     49.32119,     -11.76954,      49.31620,      -11.75932,  -266086.79,  4236902.73,  4882116.71,      49.178791,       -5.468516,  103727.57,  373472.68,   28036.74,            28144.70,   -55.71,  61765.62,           63489.91,    -75.39,    -25.68,          43.98,  +2.07,  -0.79
 12,     UK003E,       0,  0.483216, 2459521.656764228363,  49.02738, -11.94097,              228.82638,  14.20716,       228.82582,       14.20687,     49.02738,     -11.94097,      49.02975,      -11.94149,  -263857.46,  4236693.82,  4880626.35,      49.172498,       -5.498538,  102372.31,  375058.93,   30726.48,            30834.44,    42.86,  66802.73,           63680.02,      3.82,      1.30,           2.22,  +2.41,  -0.46
  0,     UK003K,       0,  0.026586, 2459521.656758958939,  76.82430,   0.29130,              202.74952,  37.57779,       202.74007,       37.57109,     76.82430,      +0.29130,      76.83002,       +0.28296,  -288219.60,  4238976.77,  4896913.07,      49.240712,       -5.170653,  117226.83,  189196.01,       0.00,             1440.85,    35.46,      0.00,           63096.45,     32.23,      7.90,          36.18,  +1.62,  +0.24
  1,     UK003K,       0,  0.067150, 2459521.656759428326,  76.13862,  -0.18188,              203.43534,  36.94840,       203.43719,       36.94970,     76.13862,      -0.18188,      76.13781,       -0.18025,  -285930.06,  4238762.22,  4895382.45,      49.234354,       -5.201433,  115826.69,  189524.89,    2762.39,             4203.25,   187.37,  68099.65,           63096.45,     -6.31,     -1.55,           7.07,  +0.49,  -0.90
  2,     UK003K,       0,  0.107646, 2459521.656759897247,  75.51648,  -0.59341,              204.05356,  36.39115,       204.05196,       36.39003,     75.51648,      -0.59341,      75.51789,       -0.59483,  -283873.71,  4238569.52,  4894007.73,      49.228634,       -5.229099,  114569.87,  189854.68,    5243.44,             6684.29,    62.32,  61266.43,           63096.45,      5.51,      1.35,           6.16,  +0.44,  -0.95
  3,     UK003K,       0,  0.148138, 2459521.656760365702,  74.90734,  -1.00326,              204.64790,  35.83579,       204.64845,       35.83618,     74.90734,      -1.00326,      74.90764,       -1.00277,  -281842.54,  4238379.18,  4892649.84,      49.222975,       -5.256433,  113329.12,  190211.94,    7694.10,             9134.95,   -92.86,  60522.07,           63096.45,     -1.88,     -0.46,           2.10,  +0.31,  -1.09
  4,     UK003K,       0,  0.188646, 2459521.656760834623,  74.26517,  -1.43125,              205.26663,  35.25106,       205.26634,       35.25086,     74.26517,      -1.43125,      74.26614,       -1.43150,  -279698.65,  4238178.28,  4891216.60,      49.216994,       -5.285279,  112020.25,  190622.52,   10280.75,            11721.61,  -113.08,  63855.42,           62929.83,      1.00,      0.25,           1.12,  +0.31,  -1.09
  5,     UK003K,       0,  0.229182, 2459521.656761304010,  73.59147,  -1.87807,              205.90656,  34.63625,       205.90390,       34.63442,     73.59147,      -1.87807,      73.59402,       -1.88044,  -277442.37,  4237966.84,  4889708.21,      49.210688,       -5.315633,  110643.57,  191091.54,   13003.03,            14443.88,     0.52,  67156.88,           63486.46,      9.25,      2.27,          10.28,  +0.46,  -0.95
  6,     UK003K,       0,  0.269706, 2459521.656761772931,  72.93668,  -2.32265,              206.51548,  34.02554,       206.51888,       34.02786,     72.93668,      -2.32265,      72.93578,       -2.31961,  -275222.71,  4237758.84,  4888224.31,      49.204474,       -5.345503,  109290.05,  191589.92,   15681.11,            17121.96,    70.69,  66086.26,           63963.86,    -11.85,     -2.91,          13.14,  +0.83,  -0.58
  7,     UK003K,       0,  0.310166, 2459521.656762241386,  72.34441,  -2.70835,              207.06395,  33.48615,       207.06069,       33.48393,     72.34441,      -2.70835,      72.34767,       -2.71127,  -273231.75,  4237572.27,  4886893.30,      49.198892,       -5.372316,  108076.67,  192068.30,   18083.26,            19524.11,  -130.94,  59371.00,           63780.54,     11.45,      2.81,          12.66,  +0.76,  -0.66
  8,     UK003K,       0,  0.350618, 2459521.656762709375,  71.78655,  -3.09392,              207.56602,  32.95448,       207.57413,       32.96000,     71.78655,      -3.09392,      71.78314,       -3.08664,  -271312.53,  4237392.42,  4885610.26,      49.193503,       -5.398173,  106907.61,  192557.08,   20398.84,            21839.70,  -418.62,  57242.84,           63259.85,    -28.60,     -7.01,          31.54,  +1.04,  -0.38
  9,     UK003K,       0,  0.391226, 2459521.656763179228,  70.99904,  -3.60854,              208.27418,  32.22861,       208.27548,       32.22949,     70.99904,      -3.60854,      70.99990,       -3.60737,  -268630.90,  4237141.13,  4883817.51,      49.185961,       -5.434241,  105275.21,  193282.94,   23634.31,            25075.16,   203.54,  79675.55,           63892.34,     -4.60,     -1.13,           5.05,  +2.29,  +0.86
 10,     UK003K,       1,  0.431626, 2459521.656763646752,  70.43681,  -3.93502,              208.78689,  31.74672,       208.75306,       31.72392,     70.43681,      -3.93502,      70.45905,       -3.96554,  -266772.15,  4236966.95,  4882574.89,      49.180724,       -5.459297,  104144.37,  193817.82,   25876.94,            27317.79,  -153.75,  55510.67,           63857.27,    120.58,     29.65,         132.14,  +4.74,  +3.30

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.