Orbital Analysis for matched events on 20210810_014012.469_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 93.92° Bg 22.96° Vg 52.38km/s
mass 0.01738g, abs. mag 0.3
Path Details
------------
start -1.50° 52.40° 94.43km
end   -1.64° 52.31° 88.12km

Orbit Details
-------------
Semimajor axis 7.90A.U., eccentricity 0.97, inclination 100.48°, Period 22.20Y, LA Sun 137.38°, last Perihelion 2021-07-03

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: 2459436.569588765502
Time: 2021-08-10 01:40:12.469339 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0027
 Convergence angle = 27.91805 deg
 R.A. =  94.76014  Dec = +46.70318 deg

Best intersection: Stations UK000S and UK0027 with Qconv = 27.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3770251.25 +/- 23.99 m
 Y =  -1202597.59 +/- 48.48 m
 Z =   5104953.19 +/- 101.33 m
 Vx =    -3127.43 +/- 59.10 m/s
 Vy =    36416.09 +/- 344.05 m/s
 Vz =    39131.02 +/- 344.89 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.241519e+02, -9.210506e+02, -2.069961e+03, +1.645687e+03, -1.141214e+03, -3.733690e+03
-9.210506e+02, +2.530230e+03, +5.198529e+03, -1.974989e+03, +1.022305e+03, +9.100338e+03
-2.069961e+03, +5.198529e+03, +1.105370e+04, -4.528790e+03, +1.945691e+03, +1.990909e+04
+1.645687e+03, -1.974989e+03, -4.528790e+03, +7.988148e+03, -5.887948e+03, -2.100277e+04
-1.141214e+03, +1.022305e+03, +1.945691e+03, -5.887948e+03, +1.264977e+04, +9.737723e+03
-3.733690e+03, +9.100338e+03, +1.990909e+04, -2.100277e+04, +9.737723e+03, +1.056941e+05

Timing offsets (from input data):
    UK000S: -0.002051 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:40:12.469339 UTC
  Lon     = +-1.504872 +/- 0.0006 deg
  Lat     = +52.400332 +/- 0.0008 deg
  Lat geo = +52.216856 +/- 0.0008 deg
  Ht      =   94420.95 +/- 61.06 m

  JD dynamic   = 2459436.570389506407 
  LST apparent = 342.3088697198 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  94.90855 +/- 0.1281 deg
  Dec       = +46.95315 +/- 0.2271 deg
  Azimuth   =  43.94973 +/- 0.2071 deg
  Elevation = +24.76866 +/- 0.1544 deg
  Vavg      =  53.29085 +/- 0.4489 km/s
  Vinit     =  53.54577 +/- 0.2732 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  94.73597 +/- 0.1281 deg
  Dec       = +46.74539 +/- 0.2271 deg
  Azimuth   =  44.19356 +/- 0.2071 deg
  Elevation = +24.67898 +/- 0.1544 deg
  Vavg      =  53.47317 +/- 0.4489 km/s
  Vinit     =  53.72809 +/- 0.2732 km/s
Radiant (geocentric, J2000):
  R.A.   =  95.23484 +/- 0.1221 deg
  Dec    = +46.32924 +/- 0.2347 deg
  Vg     =  52.38065 +/- 0.2794 km/s
  Vinf   =  53.54577 +/- 0.2732 km/s
  Zc     =  65.36350 +/- 0.1540 deg
  Zg     =  66.17210 +/- 0.1620 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  93.92342 +/- 0.0865 deg
  Bg     = +22.96281 +/- 0.2364 deg
  Vh     =  40.47110 +/- 0.2951 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 131.16401 +/- 0.1393 deg
  Bh     = +30.32914 +/- 0.2679 deg
  Vh_x   =  22.99295 +/- 0.0834 km/s
  Vh_y   = -26.29794 +/- 0.1930 km/s
  Vh_z   = -20.43656 +/- 0.2923 km/s
Orbit:
  La Sun = 137.375901 +/- 0.0000 deg
  a      =   7.899211 +/- 1.3083 AU
  e      =   0.967803 +/- 0.0056
  i      = 100.479701 +/- 0.1975 deg
  peri   =  58.452431 +/- 1.2019 deg
  node   = 137.376470 +/- 0.0000 deg
  Pi     = 195.828901 +/- 1.2019 deg
  q      =   0.254330 +/- 0.0066 AU
  f      = 121.544008 +/- 1.2019 deg
  M      =   1.660126 +/- 0.5835 deg
  Q      =  15.544091 +/- 2.6107 AU
  n      =   0.044394 +/- 0.0155 deg/day
  T      =  22.201186 +/- 5.3818 years
  Last perihelion JD = 2459399.175475 (2021-07-03 16:12:40.998394) +/- 0.0897 days
  Tj     =   0.546025 +/- 0.1416
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.201064e-05, +3.379260e-05, +3.795178e-04, -6.174418e-10, +1.120327e-04, +9.797861e-06
q   , +3.379260e-05, +4.402861e-05, +2.220151e-04, -4.029749e-10, +1.380991e-04, +6.407339e-06
Tp  , +3.795178e-04, +2.220151e-04, +8.343794e-03, -1.324059e-08, +9.058284e-04, +2.098162e-04
node, -6.174418e-10, -4.029749e-10, -1.324059e-08, +4.725109e-14, -1.610975e-09, -7.486223e-10
peri, +1.120327e-04, +1.380991e-04, +9.058284e-04, -1.610975e-09, +4.392592e-04, +2.559265e-05
i   , +9.797861e-06, +6.407339e-06, +2.098162e-04, -7.486223e-10, +2.559265e-05, +1.186081e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -4.856126
 a2 = 10.190332

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 6.587e-06 s
  Stddev    = 2.57e-03 s

Begin point on the trajectory:
  Lon =    -1.504674 +/- 0.0006 deg
  Lat =    52.400457 +/- 0.0008 deg
  Ht  = 94430.06 +/- 61.38 m
End point on the trajectory:
  Lon =    -1.643345 +/- 0.0007 deg
  Lat =    52.312959 +/- 0.0010 deg
  Ht  = 88123.78 +/- 85.75 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,   4.674258,  10.595791,    93917.40,    88634.97,          0.007357,      0.46,     24.57,              33.82, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_014010_886_0481792.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,  80.770229,    94430.06,    88123.78,          0.009651,     12.26,     22.83,              18.28, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_014013_349_0476928.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,       0,  0.016966, 2459436.569588985294, 148.74330,  66.41290,                5.96468,  27.70743,         5.96487,       27.70104,    148.74330,     +66.41290,     148.74558,      +66.40657,  3770321.47, -1203415.15,  5104074.68,      52.393371,       -1.515918,   93917.40,  196930.16,       0.00,             1202.13,   181.47,      0.00,           50994.63,     21.96,      0.41,          23.01,  +2.48,  +1.01
  1,     UK000S,       0,  0.057010, 2459436.569589449093, 149.54890,  66.44603,                5.59953,  27.68890,         5.59942,       27.69226,    149.54890,     +66.44603,     149.54809,      +66.44936,  3770436.09, -1204749.79,  5102640.53,      52.382005,       -1.533986,   93095.75,  195301.55,    1962.44,             3164.57,    -0.28,  49007.07,           50994.63,    -11.44,     -0.21,          12.08,  +1.90,  +0.45
  2,     UK000S,       0,  0.097046, 2459436.569589912426, 150.45381,  66.49017,                5.18866,  27.67886,         5.18857,       27.68120,    150.45381,     +66.49017,     150.45357,      +66.49250,  3770562.86, -1206225.90,  5101054.38,      52.369426,       -1.553945,   92187.57,  193507.81,    4132.89,             5335.02,    26.41,  54212.38,           50994.63,     -7.92,     -0.15,           8.45,  +1.69,  +0.26
  3,     UK000S,       0,  0.137074, 2459436.569590375759, 151.28122,  66.53852,                4.81233,  27.68121,         4.81278,       27.67005,    151.28122,     +66.53852,     151.28454,      +66.52740,  3770676.69, -1207551.42,  5099630.04,      52.358125,       -1.571880,   91372.53,  191903.73,    6081.92,             7284.05,  -167.89,  48691.77,           50994.63,     37.41,      0.70,          40.21,  +1.59,  +0.17
  4,     UK000S,       0,  0.177114, 2459436.569590839092, 152.28268,  66.57662,                4.36064,  27.66845,         4.36123,       27.65526,    152.28268,     +66.57662,     152.28615,      +66.56345,  3770811.26, -1209118.30,  5097946.34,      52.344760,       -1.593044,   90409.70,  190016.23,    8385.84,             9587.97,    -7.95,  57540.37,           52180.93,     43.79,      0.82,          47.54,  +1.81,  +0.42
  5,     UK000S,       0,  0.217162, 2459436.569591302425, 153.20958,  66.59242,                3.94550,  27.64178,         3.94557,       27.64037,    153.20958,     +66.59242,     153.21073,      +66.59101,  3770932.73, -1210532.74,  5096426.46,      52.332688,       -1.612160,   89541.10,  188320.40,   10465.61,            11667.74,   -72.58,  51931.92,           52484.29,      4.63,      0.09,           5.07,  +2.50,  +1.13
  6,     UK000S,       0,  0.257202, 2459436.569591766223, 154.19374,  66.61879,                3.50370,  27.62765,         3.50394,       27.62317,    154.19374,     +66.61879,     154.19540,      +66.61431,  3771059.53, -1212009.23,  5094839.88,      52.320079,       -1.632102,   88634.97,  186558.65,   12636.63,            13838.76,   -45.53,  54221.35,           52778.75,     14.61,      0.27,          16.15,  +2.98,  +1.63
  0,     UK0027,       0,  0.000000, 2459436.569588765502, 100.19423,  64.77176,               27.26961,  35.35871,        27.27383,       35.36343,    100.19423,     +64.77176,     100.18081,      +64.77294,  3770249.98, -1202582.81,  5104969.08,      52.400457,       -1.504674,   94430.06,  160780.84,       0.00,               21.74,   -90.47,      0.00,           54829.04,    -14.44,      7.77,          21.03,  +2.70,  +1.67
  1,     UK0027,       0,  0.039928, 2459436.569589227438, 100.31936,  65.01730,               27.01902,  35.50507,        27.02378,       35.51040,    100.31936,     +65.01730,     100.30425,      +65.01865,  3770379.23, -1204087.72,  5103351.97,      52.387644,       -1.525027,   93503.28,  158674.10,    2212.81,             2191.07,   -59.11,  55419.91,           54829.04,    -16.07,      8.64,          23.72,  +2.24,  +1.24
  2,     UK0027,       0,  0.079860, 2459436.569589689840, 100.47541,  65.27128,               26.74955,  35.64920,        26.76196,       35.66319,    100.47541,     +65.27128,     100.43542,      +65.27486,  3770510.52, -1205616.50,  5101709.21,      52.374620,       -1.545694,   92562.44,  156537.22,    4460.70,             4438.96,    50.59,  56293.07,           54829.04,    -41.50,     22.28,          62.07,  +1.80,  +0.83
  3,     UK0027,       0,  0.119780, 2459436.569590151776, 100.57577,  65.51808,               26.50714,  35.80389,        26.51112,       35.80838,    100.57577,     +65.51808,     100.56322,      +65.51923,  3770632.43, -1207036.01,  5100183.88,      52.362520,       -1.564891,   91689.39,  154555.77,    6547.93,             6526.19,     0.27,  52285.26,           54829.04,    -13.14,      7.07,          19.91,  +1.74,  +0.79
  4,     UK0027,       0,  0.159700, 2459436.569590613712, 100.72653,  65.79597,               26.21970,  35.96775,        26.22448,       35.97317,    100.72653,     +65.79597,     100.71132,      +65.79738,  3770767.73, -1208611.50,  5098490.93,      52.349084,       -1.586172,   90721.06,  152360.58,    8864.51,             8842.78,   179.31,  58030.67,           55263.72,    -15.60,      8.38,          23.97,  +1.81,  +0.90
  5,     UK0027,       0,  0.199640, 2459436.569591076113, 100.86689,  66.01978,               25.98108,  36.09479,        25.99098,       36.10607,    100.86689,     +66.01978,     100.83448,      +66.02274,  3770874.27, -1209852.09,  5097157.85,      52.338498,       -1.602960,   89959.02,  150633.85,   10688.66,            10666.92,  -135.16,  45672.12,           54017.18,    -32.04,     17.20,          49.79,  +2.10,  +1.21
  6,     UK0027,       0,  0.239544, 2459436.569591538049, 100.96160,  66.28819,               25.72210,  36.26745,        25.71668,       36.26126,    100.96160,     +66.28819,     100.98100,      +66.28656,  3770996.27, -1211272.59,  5095631.44,      52.326370,       -1.622155,   89086.97,  148660.37,   12777.36,            12755.62,  -183.15,  52343.05,           53392.80,     17.31,     -9.32,          27.28,  +2.05,  +1.19
  7,     UK0027,       0,  0.279468, 2459436.569591999985, 101.16634,  66.58437,               25.39924,  36.43117,        25.40412,       36.43677,    101.16634,     +66.58437,     101.15072,      +66.58587,  3771131.10, -1212842.62,  5093944.36,      52.312959,       -1.643345,   88123.78,  146483.53,   15085.91,            15064.17,   -12.36,  57823.66,           53501.82,    -15.40,      8.27,          24.61,  +2.95,  +2.12
  8,     UK0027,       1,  0.319384, 2459436.569592461921, 101.19968,  66.78661,               25.21748,  36.57161,        25.19903,       36.55044,    101.19968,     +66.78661,     101.26498,      +66.78097,  3771216.35, -1213835.25,  5092877.73,      52.304476,       -1.656801,   87515.11,  145107.99,   16545.46,            16523.72,  -690.15,  36565.50,           52423.87,     57.60,    -31.06,          93.02,  +5.94,  +5.13

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.