Orbital Analysis for matched events on 20211015_045455.392_UK

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Summary for Event
-----------------
shower ID 877 OHD
Lg 137.57° Bg -6.22° Vg 60.87km/s
mass 0.00427g, abs. mag 0.9
best visual mag 1.2
Path Details
------------
start -1.88° 51.49° 108.12km
end   -1.98° 51.53° 101.83km

Orbit Details
-------------
Semimajor axis 1.92A.U., eccentricity 0.79, inclination 165.00°, Period 2.66Y, LA Sun 201.76°, last Perihelion 2021-08-31

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: 2459502.704807788134
Time: 2021-10-15 04:54:55.392895 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK003Z
 Convergence angle = 49.12094 deg
 R.A. = 138.05506  Dec =  +9.91638 deg

Best intersection: Stations UK0006 and UK003Z with Qconv = 49.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -408604.72 +/- 19.23 m
 Y =   4026207.53 +/- 26.89 m
 Z =   5052306.05 +/- 25.77 m
 Vx =   -45389.37 +/- 156.86 m/s
 Vy =    40669.69 +/- 131.77 m/s
 Vz =    10687.68 +/- 202.58 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.956218e+02, -2.242063e+02, +7.551522e+01, +8.177767e+02, +7.138396e+02, +7.506126e+02
-2.242063e+02, +7.714857e+02, +4.532370e+02, +3.340067e+03, +2.731844e+03, +3.597096e+03
+7.551522e+01, +4.532370e+02, +7.149577e+02, +3.046866e+03, +2.068167e+03, +4.918754e+03
+8.177767e+02, +3.340067e+03, +3.046866e+03, +2.661409e+04, +2.182414e+04, +2.867659e+04
+7.138396e+02, +2.731844e+03, +2.068167e+03, +2.182414e+04, +1.882090e+04, +2.000360e+04
+7.506126e+02, +3.597096e+03, +4.918754e+03, +2.867659e+04, +2.000360e+04, +4.424557e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK003Z: 0.000110 s

Reference point on the trajectory:
  Time: 2021-10-15 04:54:55.392895 UTC
  Lon     = +-1.883255 +/- 0.0003 deg
  Lat     = +51.489846 +/- 0.0002 deg
  Lat geo = +51.305333 +/- 0.0002 deg
  Ht      =  108127.08 +/- 33.25 m

  JD dynamic   = 2459502.705608529039 
  LST apparent = 95.7948935610 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 138.13908 +/- 0.1897 deg
  Dec       =  +9.94669 +/- 0.1905 deg
  Azimuth   = 124.85776 +/- 0.1295 deg
  Elevation = +36.04746 +/- 0.2454 deg
  Vavg      =  61.67672 +/- 0.0874 km/s
  Vinit     =  61.87443 +/- 0.0000 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 138.34347 +/- 0.1897 deg
  Dec       =  +9.91493 +/- 0.1905 deg
  Azimuth   = 124.66553 +/- 0.1295 deg
  Elevation = +35.91577 +/- 0.2454 deg
  Vavg      =  61.87290 +/- 0.0874 km/s
  Vinit     =  62.07061 +/- 0.0000 km/s
Radiant (geocentric, J2000):
  R.A.   = 138.09783 +/- 0.1913 deg
  Dec    =  +9.63122 +/- 0.1924 deg
  Vg     =  60.87114 +/- 0.0000 km/s
  Vinf   =  61.87443 +/- 0.0000 km/s
  Zc     =  53.84723 +/- 0.2456 deg
  Zg     =  54.32290 +/- 0.2481 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 137.57363 +/- 0.2285 deg
  Bg     =  -6.22287 +/- 0.1449 deg
  Vh     =  36.29634 +/- 0.0921 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 158.15732 +/- 0.3714 deg
  Bh     = -10.47233 +/- 0.2258 deg
  Vh_x   =  33.12940 +/- 0.1552 km/s
  Vh_y   = -13.27945 +/- 0.1855 km/s
  Vh_z   =   6.59724 +/- 0.1530 km/s
Orbit:
  La Sun = 201.764705 +/- -0.0000 deg
  a      =   1.920938 +/- 0.0266 AU
  e      =   0.788009 +/- 0.0051
  i      = 164.998205 +/- 0.3840 deg
  peri   = 249.975436 +/- 0.2479 deg
  node   =  21.767162 +/- 0.0000 deg
  Pi     = 271.742598 +/- 0.2479 deg
  q      =   0.407221 +/- 0.0039 AU
  f      = 110.024944 +/- 0.2479 deg
  M      =  16.624600 +/- 0.4487 deg
  Q      =   3.434655 +/- 0.0571 AU
  n      =   0.370198 +/- 0.0081 deg/day
  T      =   2.662384 +/- 0.0548 years
  Last perihelion JD = 2459457.798292 (2021-08-31 07:09:32.394709) +/- 0.2172 days
  Tj     =   1.986645 +/- 0.0357
Shower association:
  IAU No.  =  877
  IAU code =  OHD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.860960e-05, -2.141580e-05, +1.208205e-03, -4.245344e-08, -1.308655e-03, -1.679792e-03
q   , -2.141580e-05, +1.638075e-05, -9.046894e-04, +2.810428e-08, +1.028225e-03, +1.112067e-03
Tp  , +1.208205e-03, -9.046894e-04, +5.102386e-02, -1.789980e-06, -5.530487e-02, -7.082294e-02
node, -4.245344e-08, +2.810428e-08, -1.789980e-06, +1.017047e-10, +1.431151e-06, +4.020183e-06
peri, -1.308655e-03, +1.028225e-03, -5.530487e-02, +1.431151e-06, +6.661873e-02, +5.663559e-02
i   , -1.679792e-03, +1.112067e-03, -7.082294e-02, +4.020183e-06, +5.663559e-02, +1.590252e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000002
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0006
  Avg. res. = 2.194e-05 s
  Stddev    = 4.68e-03 s

Begin point on the trajectory:
  Lon =    -1.883367 +/- 0.0001 deg
  Lat =    51.489895 +/- 0.0001 deg
  Ht  = 108120.08 +/- 30.74 m
End point on the trajectory:
  Lon =    -1.984657 +/- 0.0001 deg
  Lat =    51.533556 +/- 0.0001 deg
  Ht  = 101834.57 +/- 25.72 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000003,   0.000000,   108120.08,   101834.57,          0.008657,     14.65,     10.96,              62.00, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20211015_045454_264_0921600.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   106589.22,   102454.24,          0.010299,     21.11,      4.62,              76.77, 1.0000,   False,    True, {"ff_name": "FF_UK003Z_20211015_045453_508_0998912.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,     UK0006,       0,  0.000000, 2459502.704807788134,  74.46755,  27.70993,              222.59697,  60.79270,       222.60396,       60.80004,     74.46755,     +27.70993,      74.46792,      +27.71801,  -408595.98,  4026199.70,  5052303.99,      51.489895,       -1.883367,  108120.08,  123448.55,       0.00,               11.90,  -257.62,      0.00,           66371.62,    -10.45,    -13.96,          29.14,  +4.02,  +3.56
  1,     UK0006,       0,  0.040596, 2459502.704808257986,  72.97675,  27.77625,              225.00898,  60.21380,       225.01597,       60.22061,     72.97675,     +27.77625,      72.97715,      +27.78390,  -406271.52,  4024116.94,  5051756.66,      51.502836,       -1.913318,  106255.88,  122004.84,    3168.69,             3180.59,   274.45,  78054.16,           66371.62,     -9.76,    -13.04,          27.55,  +1.83,  +1.40
  2,     UK0006,       0,  0.081064, 2459502.704808726441,  71.78729,  27.83485,              226.88689,  59.73679,       226.87723,       59.72788,     71.78729,     +27.83485,      71.78707,      +27.82470,  -404457.44,  4022491.50,  5051329.51,      51.512936,       -1.936753,  104801.68,  120925.04,    5641.63,             5653.53,   115.17,  61108.56,           66371.62,     12.84,     17.17,          36.57,  +1.31,  +0.90
  3,     UK0006,       0,  0.121560, 2459502.704809195362,  70.56322,  27.86760,              228.74367,  59.20494,       228.73227,       59.19492,     70.56322,     +27.86760,      70.56325,      +27.85600,  -402625.61,  4020850.14,  5050898.17,      51.523134,       -1.960437,  103333.86,  119876.84,    8138.77,             8150.67,   -22.66,  61663.81,           66371.62,     14.54,     19.44,          41.76,  +1.25,  +0.86
  4,     UK0006,       0,  0.162096, 2459502.704809664283,  69.28974,  27.87353,              230.59534,  58.61070,       230.59897,       58.61375,     69.28974,     +27.87353,      69.29033,      +27.87712,  -400753.70,  4019172.88,  5050457.40,      51.533556,       -1.984657,  101834.57,  118850.59,   10690.53,            10702.44,  -109.34,  62950.70,           65040.84,     -4.46,     -5.96,          12.93,  +2.17,  +1.79
  0,     UK003Z,       0,  0.030532, 2459502.704808203038,  57.52842,  75.44992,              341.07299,  61.16675,       341.08510,       61.16350,     57.52842,     +75.44992,      57.53147,      +75.45656,  -406687.26,  4024489.45,  5051854.55,      51.500521,       -1.907969,  106589.22,  121304.03,       0.00,             2613.86,  -107.01,      0.00,           58430.27,      3.02,    -13.82,          24.05,  +1.94,  +1.52
  1,     UK003Z,       0,  0.071412, 2459502.704808676150,  52.93612,  75.54515,              339.95915,  60.15033,       339.95083,       60.15254,     52.93612,     +75.54515,      52.93559,      +75.54047,  -404869.61,  4022860.81,  5051426.56,      51.510641,       -1.931447,  105132.03,  120816.07,    2477.81,             5091.66,   -17.37,  60611.73,           58430.27,     -2.11,      9.67,          16.89,  +1.82,  +1.41
  2,     UK003Z,       0,  0.112416, 2459502.704809150659,  47.72906,  75.53178,              338.76146,  59.00042,       338.75459,       59.00223,     47.72906,     +75.53178,      47.73021,      +75.52781,  -402837.11,  4021039.65,  5050947.97,      51.521957,       -1.957705,  103503.31,  120328.66,    5248.49,             7862.35,   357.44,  67571.10,           58430.27,     -1.78,      8.15,          14.29,  +1.32,  +0.92
  3,     UK003Z,       0,  0.153068, 2459502.704809621442,  44.36263,  75.47556,              338.04887,  58.24186,       338.01742,       58.25010,     44.36263,     +75.47556,      44.37105,      +75.45718,  -401527.49,  4019866.21,  5050639.60,      51.529248,       -1.974697,  102454.24,  120048.42,    7033.76,             9647.62,  -233.07,  43915.80,           58430.27,     -8.28,     37.85,          66.56,  +3.62,  +3.22

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.