Orbital Analysis for matched events on 20211103_042334.272_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 139.60° Bg 21.91° Vg 63.35km/s
mass 0.00451g, abs. mag 0.9
best visual mag 1.5
Path Details
------------
start -3.61° 51.19° 115.33km
end   -3.71° 51.19° 105.18km

Orbit Details
-------------
Semimajor axis 2.41A.U., eccentricity 0.62, inclination 139.85°, Period 3.74Y, LA Sun 220.67°, last Perihelion 2021-10-07

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: 2459521.683035566006
Time: 2021-11-03 04:23:34.313699 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003E and UK003H
 Convergence angle = 0.89736 deg
 R.A. = 169.30894  Dec = +25.53399 deg
Intersection 2 - Stations: UK003E and UK003Z
 Convergence angle = 12.11956 deg
 R.A. = 146.50743  Dec = +37.58482 deg
Intersection 3 - Stations: UK003H and UK003Z
 Convergence angle = 12.95159 deg
 R.A. = 148.03970  Dec = +36.63192 deg

Best intersection: Stations UK003H and UK003Z with Qconv = 12.95 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1053406.65 +/- 306.97 m
 Y =   3941564.01 +/- 304.23 m
 Z =   5038080.48 +/- 269.00 m
 Vx =   -45423.40 +/- 2176.23 m/s
 Vy =    25857.89 +/- 1885.17 m/s
 Vz =    37467.96 +/- 1734.23 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.581131e+04, +9.245463e+04, +8.248939e+04, +6.555064e+05, +5.515003e+05, +4.919148e+05
+9.245463e+04, +9.493074e+04, +8.092606e+04, +6.294813e+05, +5.476499e+05, +4.614533e+05
+8.248939e+04, +8.092606e+04, +7.409688e+04, +5.750952e+05, +4.780088e+05, +4.360842e+05
+6.555064e+05, +6.294813e+05, +5.750952e+05, +5.278092e+06, +4.337275e+06, +3.982064e+06
+5.515003e+05, +5.476499e+05, +4.780088e+05, +4.337275e+06, +3.686801e+06, +3.220870e+06
+4.919148e+05, +4.614533e+05, +4.360842e+05, +3.982064e+06, +3.220870e+06, +3.068869e+06

Timing offsets (from input data):
    UK003E: 0.001194 s
    UK003H: 0.001145 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 04:23:34.313699 UTC
  Lon     = +-3.583073 +/- 0.0052 deg
  Lat     = +51.183690 +/- 0.0005 deg
  Lat geo = +50.999012 +/- 0.0005 deg
  Ht      =  117639.85 +/- 341.85 m

  JD dynamic   = 2459521.683836779092 
  LST apparent = 104.9629374257 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 150.34871 +/- 3.2738 deg
  Dec       = +35.63473 +/- 1.6023 deg
  Azimuth   =  97.82982 +/- 0.8701 deg
  Elevation = +54.26760 +/- 2.9711 deg
  Vavg      =  62.40852 +/- 0.8952 km/s
  Vinit     =  64.30991 +/- 0.5714 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 150.57683 +/- 3.2738 deg
  Dec       = +35.52488 +/- 1.6023 deg
  Azimuth   =  97.76847 +/- 0.8701 deg
  Elevation = +54.05499 +/- 2.9711 deg
  Vavg      =  62.58111 +/- 0.8952 km/s
  Vinit     =  64.48249 +/- 0.5714 km/s
Radiant (geocentric, J2000):
  R.A.   = 150.28854 +/- 3.2997 deg
  Dec    = +35.56170 +/- 1.6194 deg
  Vg     =  63.34664 +/- 0.5799 km/s
  Vinf   =  64.30991 +/- 0.5714 km/s
  Zc     =  35.70765 +/- 2.9728 deg
  Zg     =  35.98617 +/- 2.9999 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 139.60304 +/- 3.2117 deg
  Bg     = +21.91464 +/- 0.6892 deg
  Vh     =  37.68141 +/- 0.7134 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 147.89775 +/- 6.5109 deg
  Bh     = +38.86118 +/- 1.0054 deg
  Vh_x   =  24.85507 +/- 2.2674 km/s
  Vh_y   = -15.59292 +/- 2.4257 km/s
  Vh_z   = -23.64266 +/- 0.8992 km/s
Orbit:
  La Sun = 220.669631 +/- -0.0000 deg
  a      =   2.407365 +/- 0.9731 AU
  e      =   0.616780 +/- 0.0583
  i      = 139.848431 +/- 0.7898 deg
  peri   = 144.712687 +/- 12.7923 deg
  node   = 220.672599 +/- 0.0000 deg
  Pi     =   5.385285 +/- 12.7923 deg
  q      =   0.922551 +/- 0.0171 AU
  f      =  35.288701 +/- 12.7923 deg
  M      =   6.916702 +/- 2.3506 deg
  Q      =   3.892178 +/- 1.9436 AU
  n      =   0.263871 +/- 0.0509 deg/day
  T      =   3.735196 +/- 3.1856 years
  Last perihelion JD = 2459495.471375 (2021-10-07 23:18:46.825927) +/- 1578.0191 days
  Tj     =   1.343425 +/- 0.3358
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.092865e-03, +3.668815e-04, -7.608920e+01, -1.103626e-06, +5.947272e-01, -3.074278e-02
q   , +3.668815e-04, +3.357422e-04, -3.897479e+00, -3.529199e-07, +1.874144e-01, -9.695210e-03
Tp  , -7.608920e+01, -3.897479e+00, +2.197890e+06, +1.995122e-02, -1.283010e+04, +5.594457e+02
node, -1.103626e-06, -3.529199e-07, +1.995122e-02, +8.682455e-10, -2.816100e-04, +2.397986e-05
peri, +5.947272e-01, +1.874144e-01, -1.283010e+04, -2.816100e-04, +1.666894e+02, -7.788652e+00
i   , -3.074278e-02, -9.695210e-03, +5.594457e+02, +2.397986e-05, -7.788652e+00, +6.624365e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.765379
 a2 = 23.316573

Mean time residuals from time vs. length:
  Station with reference time: UK003Z
  Avg. res. = 4.533e-06 s
  Stddev    = 2.13e-03 s

Begin point on the trajectory:
  Lon =    -3.606205 +/- 0.0037 deg
  Lat =    51.185687 +/- 0.0003 deg
  Ht  = 115329.81 +/- 247.84 m
End point on the trajectory:
  Lon =    -3.709001 +/- 0.0046 deg
  Lat =    51.194430 +/- 0.0004 deg
  Ht  = 105175.90 +/- 239.04 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,   115328.70,   107068.16,          0.021763,     45.40,     47.21,              75.30, 0.9356,    True,    True, {"ff_name": "FF_UK003E_20211103_042333_309_1004544.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   114277.48,   108003.32,          0.027161,     46.22,     49.58,              64.53, 0.8151,    True,    True, {"ff_name": "FF_UK003H_20211103_042330_535_0418816.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   115329.81,   105175.90,          0.017278,     45.26,     30.64,              78.82, 0.9624,    True,    True, {"ff_name": "FF_UK003Z_20211103_042328_043_1004800.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,       0,  0.046411, 2459521.683036087546,  50.10023,  26.98646,              262.40346,  41.33091,       262.34734,       41.32360,     50.10023,     +26.98646,      50.12874,      +26.95192, -1051395.55,  3940419.16,  5036421.60,      51.185688,       -3.606234,  115328.70,  172514.08,       0.00,             2847.30,    17.01,      0.00,           65618.82,     92.82,     89.28,         153.98,  +5.25,  +4.07
  1,     UK003E,       0,  0.087059, 2459521.683036557864,  49.38864,  26.49390,              262.55762,  40.53537,       262.52854,       40.53158,     49.38864,     +26.49390,      49.40390,      +26.47587, -1049679.26,  3939442.14,  5035005.91,      51.187390,       -3.626169,  113356.66,  172210.49,    2429.90,             5277.20,  -167.16,  59779.13,           65618.82,     48.60,     46.71,          80.74,  +2.23,  +1.05
  2,     UK003E,       0,  0.127859, 2459521.683037030045,  48.52115,  25.89199,              262.75056,  39.56254,       262.74454,       39.56176,     48.52115,     +25.89199,      48.52482,      +25.88822, -1047584.95,  3938249.92,  5033278.39,      51.189464,       -3.650476,  110950.69,  171884.15,    5395.00,             8242.30,   174.10,  72674.01,           65618.82,     10.18,      9.78,          16.94,  +2.80,  +1.62
  3,     UK003E,       0,  0.168539, 2459521.683037500829,  47.78236,  25.37985,              262.92050,  38.73275,       262.92430,       38.73324,     47.78236,     +25.37985,      47.78105,      +25.38224, -1045803.10,  3937235.58,  5031808.62,      51.191226,       -3.671198,  108904.03,  171647.85,    7917.72,            10765.02,    80.69,  62013.69,           65618.82,     -6.49,     -6.23,          10.81,  +2.43,  +1.26
  4,     UK003E,       0,  0.209155, 2459521.683037971146,  47.11784,  24.92219,              263.07982,  37.98732,       263.08251,       37.98767,     47.11784,     +24.92219,      47.11726,      +24.92389, -1044204.55,  3936325.58,  5030490.03,      51.192805,       -3.689817,  107068.16,  171468.26,   10180.94,            13028.23,  -268.11,  55722.29,           63519.69,     -4.64,     -4.46,           7.74,  +3.97,  +2.80
  0,     UK003H,       0,  0.066836, 2459521.683036226314,  60.39786,  31.98538,              257.80073,  51.55305,       257.79557,       51.55233,     60.39786,     +31.98538,      60.40011,      +31.98256, -1050480.69,  3939898.36,  5035666.98,      51.186596,       -3.616818,  114277.48,  144906.56,       0.00,             4142.54,    -1.28,      0.00,           64008.37,      6.09,      5.68,          11.85,  +2.15,  +1.34
  1,     UK003H,       0,  0.107636, 2459521.683036698494,  59.44874,  31.47542,              258.11237,  50.61850,       258.12690,       50.62053,     59.44874,     +31.47542,      59.44331,      +31.48344, -1048703.87,  3938886.89,  5034201.35,      51.188357,       -3.637459,  112236.07,  144155.92,    2515.60,             6658.14,  -109.53,  61656.79,           64008.37,    -17.37,    -16.21,          34.00,  +1.48,  +0.69
  2,     UK003H,       0,  0.148588, 2459521.683037172537,  58.34377,  30.85792,              258.45545,  49.51092,       258.50211,       49.51745,     58.34377,     +30.85792,      58.32502,      +30.88410, -1046624.43,  3937703.14,  5032486.10,      51.190415,       -3.661604,  109847.39,  143327.56,    5459.65,             9602.19,   200.91,  71890.26,           64008.37,    -56.70,    -52.88,         111.58,  +1.59,  +0.81
  3,     UK003H,       0,  0.189332, 2459521.683037644252,  57.48842,  30.37315,              258.71912,  48.64661,       258.78350,       48.65562,     57.48842,     +30.37315,      57.46186,      +30.40969, -1045018.85,  3936789.14,  5031161.72,      51.192001,       -3.680299,  108003.32,  142728.12,    7732.81,            11875.35,  -146.18,  55791.23,           64008.37,    -79.23,    -73.84,         156.52,  +2.10,  +1.33
  0,     UK003Z,       1,  0.000000, 2459521.683035566006,  39.10829,  34.77407,              278.78913,  39.68706,       278.76385,       39.68695,     39.10829,     +34.77407,      39.12367,      +34.75926, -1053464.70,  3941597.05,  5038128.36,      51.183633,       -3.582235,  117706.56,  181872.60,       0.00,               82.18,   236.55,      0.00,           62911.71,     34.62,     51.14,          70.04,  +5.53,  +4.23
  1,     UK003Z,       0,  0.040792, 2459521.683036038186,  38.28085,  34.15276,              278.76255,  38.76456,       278.77020,       38.76459,     38.28085,     +34.15276,      38.27629,      +34.15727, -1051396.52,  3940419.71,  5036422.40,      51.185687,       -3.606205,  115329.81,  181640.43,    2928.10,             2845.93,   376.97,  71781.35,           62911.71,    -10.62,    -15.67,          21.50,  +5.05,  +3.75
  2,     UK003Z,       0,  0.081412, 2459521.683036508504,  37.62790,  33.66651,              278.75558,  38.03651,       278.77498,       38.03660,     37.62790,     +33.66651,      37.61611,      +33.67798, -1049768.67,  3939493.03,  5035079.65,      51.187302,       -3.625121,  113459.39,  181492.80,    5232.79,             5150.62,    69.39,  56737.81,           62911.71,    -27.16,    -40.06,          55.01,  +2.03,  +0.74
  3,     UK003Z,       0,  0.122096, 2459521.683036979288,  36.89943,  33.14544,              278.77780,  37.23588,       278.78019,       37.23589,     36.89943,     +33.14544,      36.89842,      +33.14686, -1047980.45,  3938475.07,  5033604.63,      51.189073,       -3.645898,  111405.02,  181363.52,    7764.53,             7682.35,   -15.26,  62229.24,           62911.71,     -3.38,     -4.99,           6.86,  +2.40,  +1.11
  4,     UK003Z,       0,  0.162736, 2459521.683037449606,  36.23829,  32.63597,              278.77259,  36.48239,       278.78496,       36.48245,     36.23829,     +32.63597,      36.23106,      +32.64335, -1046300.12,  3937518.52,  5032218.59,      51.190735,       -3.665445,  109474.87,  181274.90,   10143.52,            10061.34,  -249.83,  58538.18,           61764.01,    -17.65,    -26.05,          35.80,  +2.48,  +1.19
  5,     UK003Z,       0,  0.203508, 2459521.683037921321,  35.43237,  32.03196,              278.79308,  35.57232,       278.79072,       35.57231,     35.43237,     +32.03196,      35.43475,      +32.03055, -1044271.01,  3936363.42,  5030544.86,      51.192739,       -3.689032,  107144.50,  181207.74,   13016.31,            12934.13,     0.92,  70459.77,           62680.99,      3.41,      5.04,           6.92,  +2.45,  +1.16
  6,     UK003Z,       0,  0.244160, 2459521.683038392104,  34.73869,  31.53601,              278.84123,  34.80283,       278.79540,       34.80263,     34.73869,     +31.53601,      34.76973,      +31.50843, -1042556.64,  3935387.49,  5029130.74,      51.194430,       -3.709001,  105175.90,  181188.12,   15443.49,            15361.31,  -186.22,  59706.42,           62689.79,     66.68,     98.55,         135.46,  +5.47,  +4.18

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.