Orbital Analysis for matched events on 20211103_055044.614_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 154.08° Bg -22.10° Vg 65.64km/s
mass 0.01485g, abs. mag 0.2
best visual mag 0.7
Path Details
------------
start -5.67° 52.81° 108.95km
end   -5.81° 52.99° 99.09km

Orbit Details
-------------
Semimajor axis -18.65A.U., eccentricity 1.04, inclination 136.25°, Period nanY, LA Sun 220.73°, 

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: 2459521.743571924977
Time: 2021-11-03 05:50:44.619267 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0042 and UK004M
 Convergence angle = 9.86775 deg
 R.A. = 147.50209  Dec =  -9.22847 deg

Best intersection: Stations UK0042 and UK004M with Qconv = 9.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2238596.69 +/- 90.87 m
 Y =   3229310.53 +/- 130.41 m
 Z =   5144657.38 +/- 165.15 m
 Vx =   -55624.33 +/- 12.18 m/s
 Vy =    34616.08 +/- 964.26 m/s
 Vz =   -11800.18 +/- 815.96 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.039542e+03, +5.605152e+03, +9.810645e+03, +2.513742e+04, +2.709263e+04, +4.160879e+04
+5.605152e+03, +1.208302e+04, +1.372457e+04, +4.313864e+04, +3.449355e+04, +5.876279e+04
+9.810645e+03, +1.372457e+04, +1.924815e+04, +5.234514e+04, +4.833720e+04, +8.180974e+04
+2.513742e+04, +4.313864e+04, +5.234514e+04, +3.329122e+05, +2.535890e+05, +4.432518e+05
+2.709263e+04, +3.449355e+04, +4.833720e+04, +2.535890e+05, +2.171158e+05, +3.638769e+05
+4.160879e+04, +5.876279e+04, +8.180974e+04, +4.432518e+05, +3.638769e+05, +6.373279e+05

Timing offsets (from input data):
    UK0042: 0.000000 s
    UK004M: 0.000285 s

Reference point on the trajectory:
  Time: 2021-11-03 05:50:44.619267 UTC
  Lon     = +-5.668454 +/- 0.0020 deg
  Lat     = +52.810776 +/- 0.0006 deg
  Lat geo = +52.628415 +/- 0.0007 deg
  Ht      =  108920.19 +/- 168.65 m

  JD dynamic   = 2459521.744372723158 
  LST apparent = 124.7301629116 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 148.10521 +/- 0.7042 deg
  Dec       = -10.21017 +/- 0.7742 deg
  Azimuth   = 154.72115 +/- 0.5346 deg
  Elevation = +23.88121 +/- 0.9218 deg
  Vavg      =  66.53524 +/- 0.3363 km/s
  Vinit     =  66.57014 +/- 0.4138 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 148.33482 +/- 0.7042 deg
  Dec       = -10.19277 +/- 0.7742 deg
  Azimuth   = 154.47776 +/- 0.5346 deg
  Elevation = +23.83846 +/- 0.9218 deg
  Vavg      =  66.64764 +/- 0.3363 km/s
  Vinit     =  66.68254 +/- 0.4138 km/s
Radiant (geocentric, J2000):
  R.A.   = 147.97805 +/- 0.7089 deg
  Dec    = -10.61217 +/- 0.7756 deg
  Vg     =  65.63871 +/- 0.4198 km/s
  Vinf   =  66.57014 +/- 0.4138 km/s
  Zc     =  65.95392 +/- 0.9225 deg
  Zg     =  66.47773 +/- 0.9256 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 154.08473 +/- 0.9944 deg
  Bg     = -22.10245 +/- 0.4804 deg
  Vh     =  42.84868 +/- 0.7809 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 173.26727 +/- 1.5882 deg
  Bh     = -35.19673 +/- 0.3780 deg
  Vh_x   =  34.77352 +/- 0.6616 km/s
  Vh_y   =  -4.10509 +/- 0.8461 km/s
  Vh_z   =  24.69737 +/- 0.6488 km/s
Orbit:
  La Sun = 220.730272 +/- -0.0000 deg
  a      = -18.648260 +/- 79.5163 AU
  e      =   1.037253 +/- 0.0524
  i      = 136.251980 +/- 1.0305 deg
  peri   = 294.283453 +/- 0.3981 deg
  node   =  40.731518 +/- 0.0000 deg
  Pi     = 335.014971 +/- 0.3980 deg
  q      =   0.694699 +/- 0.0086 AU
  f      =  65.715462 +/- 0.3981 deg
  M      =        nan +/- nan deg
  Q      = -37.991219 +/- 159.0347 AU
  n      =   0.012239 +/- 0.0307 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.032502 +/- 0.3727
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.991984e-03, -3.173489e-04, +3.162842e-02, +1.120353e-06, -2.959861e-05, -3.732033e-02
q   , -3.173489e-04, +5.973678e-05, -4.715316e-03, -1.959022e-07, +1.213237e-03, +6.512246e-03
Tp  , +3.162842e-02, -4.715316e-03, +5.141976e-01, +1.716502e-05, +4.269445e-02, -5.720251e-01
node, +1.120353e-06, -1.959022e-07, +1.716502e-05, +7.041648e-10, -2.319526e-06, -2.342775e-05
peri, -2.959861e-05, +1.213237e-03, +4.269445e-02, -2.319526e-06, +1.596580e-01, +7.571014e-02
i   , -3.732033e-02, +6.512246e-03, -5.720251e-01, -2.342775e-05, +7.571014e-02, +7.796132e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.797218
 a2 = 11.916746

Mean time residuals from time vs. length:
  Station with reference time: UK0042
  Avg. res. = 2.195e-06 s
  Stddev    = 1.48e-03 s

Begin point on the trajectory:
  Lon =    -5.668007 +/- 0.0020 deg
  Lat =    52.810203 +/- 0.0005 deg
  Ht  = 108951.96 +/- 164.81 m
End point on the trajectory:
  Lon =    -5.809511 +/- 0.0029 deg
  Lat =    52.988976 +/- 0.0010 deg
  Ht  = 99092.06 +/- 198.16 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
    UK0042,   False,    -4.169906,    52.265619,  152.00,   0.000000,   0.000000,   107926.47,    99195.58,          0.010090,     29.22,      3.96,             104.42, 1.0000,    True,   False, {"ff_name": "FF_UK0042_20211103_055042_248_1118208.fits"}
    UK004M,   False,    -3.939979,    52.538916,   19.00,   0.035272,  23.397386,   108951.96,    99092.06,          0.022045,     60.73,     19.24,              97.24, 1.0000,    True,    True, {"ff_name": "FF_UK004M_20211103_055044_222_1115648.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,     UK0042,       1,  0.000000, 2459521.743571924977,  45.05230,  49.89328,              301.48913,  41.70995,       301.49121,       41.71094,     45.05230,     +49.89328,      45.05213,      +49.89512, -2238340.86,  3229151.32,  5144711.65,      52.813013,       -5.670176,  108796.23,  161600.99,       0.00,              306.18,   554.22,      0.00,           63627.24,     -0.69,     -5.15,           6.63,  +5.74,  +4.70
  1,     UK0042,       0,  0.040604, 2459521.743572394829,  43.92297,  49.83875,              302.00298,  41.09003,       302.00906,       41.09292,     43.92297,     +49.83875,      43.92253,      +49.84416, -2236545.02,  3228033.73,  5145092.62,      52.828715,       -5.682590,  107926.47,  162220.65,    2149.22,             2455.40,     0.43,  52931.24,           63627.24,     -2.06,    -15.21,          19.52,  +2.75,  +1.70
  2,     UK0042,       0,  0.081396, 2459521.743572867010,  42.45537,  49.75037,              302.65736,  40.27819,       302.67064,       40.28447,     42.45537,     +49.75037,      42.45401,      +49.76224, -2234182.32,  3226563.38,  5145593.85,      52.849378,       -5.698889,  106783.05,  163073.33,    4976.86,             5283.04,   112.54,  69318.50,           63627.24,     -4.55,    -33.61,          42.90,  +2.19,  +1.13
  3,     UK0042,       0,  0.122160, 2459521.743573338725,  41.06149,  49.66873,              303.28713,  39.51290,       303.28525,       39.51202,     41.06149,     +49.66873,      41.06230,      +49.66704, -2231911.26,  3225150.06,  5146075.63,      52.869244,       -5.714581,  105684.94,  163935.14,    7694.82,             8000.99,   116.83,  66675.38,           63627.24,      0.65,      4.83,           6.13,  +1.87,  +0.80
  4,     UK0042,       0,  0.162792, 2459521.743573809043,  39.90710,  49.57762,              303.78928,  38.86787,       303.78600,       38.86633,     39.90710,     +49.57762,      39.90836,      +49.57466, -2230002.27,  3223962.05,  5146480.61,      52.885947,       -5.727814,  104762.62,  164692.05,    9979.47,            10285.65,  -303.40,  56227.97,           62645.33,      1.15,      8.50,          10.75,  +1.68,  +0.60
  5,     UK0042,       0,  0.203608, 2459521.743574281689,  38.43272,  49.43748,              304.41398,  38.03308,       304.41689,       38.03444,     38.43272,     +49.43748,      38.43297,      +49.44012, -2227523.38,  3222419.39,  5147006.48,      52.907641,       -5.744967,  103565.96,  165714.73,   12946.15,            13252.33,   -53.84,  72684.22,           63802.33,     -1.03,     -7.63,           9.58,  +1.72,  +0.62
  6,     UK0042,       0,  0.244348, 2459521.743574752938,  37.10108,  49.29561,              304.97076,  37.27294,       304.97727,       37.27598,     37.10108,     +49.29561,      37.10060,      +49.30153, -2225244.88,  3221001.44,  5147489.84,      52.927586,       -5.760768,  102467.03,  166696.50,   15673.02,            15979.19,   -39.04,  66933.42,           64550.85,     -2.34,    -17.31,          21.62,  +1.81,  +0.70
  7,     UK0042,       0,  0.285112, 2459521.743575224653,  35.74791,  49.12750,              305.52156,  36.48837,       305.53958,       36.49674,     35.74791,     +49.12750,      35.74448,      +49.14395, -2222883.08,  3219531.64,  5147990.87,      52.948265,       -5.777161,  101328.91,  167754.76,   18499.58,            18805.75,    73.85,  69339.64,           65262.06,     -6.58,    -48.53,          60.21,  +2.53,  +1.41
  8,     UK0042,       0,  0.325764, 2459521.743575695436,  34.60440,  49.01279,              306.01919,  35.84572,       306.00374,       35.83857,     34.60440,     +49.01279,      34.61005,      +48.99865, -2220871.41,  3218279.75,  5148417.63,      52.965882,       -5.791165,  100360.32,  168689.45,   20907.10,            21213.28,  -224.83,  59222.72,           65192.00,      5.68,     42.07,          51.91,  +1.88,  +0.74
  9,     UK0042,       0,  0.366528, 2459521.743576167151,  33.27352,  48.79826,              306.53099,  35.04734,       306.54612,       35.05433,     33.27352,     +48.79826,      33.27047,      +48.81215, -2218450.31,  3216773.05,  5148931.24,      52.987090,       -5.808006,   99195.58,  169851.45,   23804.63,            24110.80,   -40.97,  71080.50,           65477.77,     -5.67,    -41.77,          51.20,  +2.56,  +1.41
  0,     UK004M,       0,  0.006168, 2459521.743571982253,  55.13997,  40.07461,              285.20470,  41.30671,       285.16831,       41.27850,     55.13997,     +40.07461,      55.13465,      +40.03554, -2238662.26,  3229351.33,  5144643.47,      52.810203,       -5.668007,  108951.96,  163363.37,       0.00,               78.47,   -84.06,      0.00,           70004.65,     33.74,    106.81,         141.43,  +3.81,  +2.74
  1,     UK004M,       0,  0.047028, 2459521.743572455365,  53.83342,  40.11246,              286.09425,  40.56586,       286.11025,       40.57815,     53.83342,     +40.11246,      53.83564,      +40.12968, -2236251.08,  3227850.81,  5145154.98,      52.831285,       -5.684618,  107784.16,  163838.36,    2885.66,             2807.19,   -75.40,  70623.10,           70004.65,    -14.94,    -47.12,          62.23,  +2.58,  +1.51
  2,     UK004M,       0,  0.087836, 2459521.743572927546,  52.57942,  40.23139,              287.02456,  39.91166,       287.00167,       39.89428,     52.57942,     +40.23139,      52.57734,      +40.20675, -2233907.36,  3226392.26,  5145652.18,      52.851783,       -5.700789,  106650.05,  164347.66,    5690.58,             5612.11,    12.92,  68734.60,           70004.65,     21.37,     67.57,          88.95,  +2.17,  +1.09
  3,     UK004M,       0,  0.128680, 2459521.743573400192,  51.28049,  40.27355,              287.90142,  39.18544,       287.89983,       39.18425,     51.28049,     +40.27355,      51.28089,      +40.27184, -2231481.60,  3224882.67,  5146166.78,      52.873003,       -5.717542,  105477.30,  164923.23,    8593.67,             8515.20,   197.03,  71077.58,           70004.65,      1.49,      4.70,           6.16,  +0.72,  -0.37
  4,     UK004M,       0,  0.210136, 2459521.743574343156,  49.01028,  40.34994,              289.42515,  37.92733,       289.42536,       37.92749,     49.01028,     +40.34994,      49.01116,      +40.35016, -2227200.95,  3222218.74,  5147074.88,      52.910463,       -5.747200,  103410.39,  166060.21,   13716.68,            13638.21,  -102.51,  62892.90,           67380.95,     -0.19,     -0.61,           0.80,  +1.27,  +0.17
  5,     UK004M,       0,  0.250924, 2459521.743574815337,  47.77378,  40.38419,              290.24271,  37.24251,       290.23363,       37.23584,     47.77378,     +40.38419,      47.77455,      +40.37436, -2224845.85,  3220753.11,  5147574.49,      52.931079,       -5.763530,  102274.67,  166748.93,   16535.22,            16456.75,     0.77,  69102.18,           67140.63,      8.64,     27.29,          35.41,  +1.30,  +0.19
  6,     UK004M,       0,  0.291672, 2459521.743575287051,  46.60658,  40.35970,              290.95876,  36.56172,       290.98205,       36.57873,     46.60658,     +40.35970,      46.60807,      +40.38498, -2222607.01,  3219359.84,  5148049.44,      52.950682,       -5.779081,  101195.94,  167445.56,   19214.62,            19136.15,   -32.43,  65755.43,           66941.99,    -22.35,    -70.41,          91.00,  +2.20,  +1.08
  7,     UK004M,       0,  0.332400, 2459521.743575758301,  45.45562,  40.35405,              291.68065,  35.90582,       291.70816,       35.92577,     45.45562,     +40.35405,      45.45682,      +40.38396, -2220378.77,  3217973.17,  5148522.14,      52.970197,       -5.794578,  100123.24,  168178.57,   21881.33,            21802.86,   -76.99,  65476.08,           66759.09,    -26.57,    -83.67,         107.67,  +1.04,  -0.09
  8,     UK004M,       0,  0.373088, 2459521.743576229084,  44.35792,  40.35529,              292.37386,  35.28774,       292.38945,       35.29898,     44.35792,     +40.35529,      44.35909,      +40.37226, -2218235.04,  3216639.08,  5148976.91,      52.988976,       -5.809511,   99092.06,  168920.95,   24446.91,            24368.44,  -220.01,  63054.99,           66469.12,    -15.14,    -47.70,          61.10,  +2.15,  +1.01

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.