Orbital Analysis for matched events on 20211103_032242.924_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 120.29° Bg 31.86° Vg 65.15km/s
mass 0.00831g, abs. mag -0.3
best visual mag 1.5
Path Details
------------
start 3.39° 50.93° 111.15km
end   3.35° 50.93° 103.49km

Orbit Details
-------------
Semimajor axis -9.11A.U., eccentricity 1.10, inclination 125.36°, Period nanY, LA Sun 220.63°, 

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: 2459521.640774593689
Time: 2021-11-03 03:22:42.926504 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK0045
 Convergence angle = 17.04705 deg
 R.A. = 134.47925  Dec = +49.28131 deg

Best intersection: Stations UK0004 and UK0045 with Qconv = 17.05 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -476545.94 +/- 803.97 m
 Y =   4069808.44 +/- 220.70 m
 Z =   5014855.87 +/- 325.66 m
 Vx =   -28411.63 +/- 2076.31 m/s
 Vy =    30549.68 +/- 14020.59 m/s
 Vz =    51254.97 +/- 23471.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.602857e+06, -4.510285e+05, -5.221519e+05, +1.032314e+07, +1.316062e+06, +3.054551e+06
-4.510285e+05, +1.294575e+05, +1.486654e+05, -2.992349e+06, -3.284526e+05, -8.703651e+05
-5.221519e+05, +1.486654e+05, +1.720311e+05, -3.392035e+06, -4.162624e+05, -9.944903e+05
+1.032314e+07, -2.992349e+06, -3.392035e+06, +7.767535e+07, +7.509735e+06, +2.324368e+07
+1.316062e+06, -3.284526e+05, -4.162624e+05, +7.509735e+06, +2.816806e+06, +3.593075e+06
+3.054551e+06, -8.703651e+05, -9.944903e+05, +2.324368e+07, +3.593075e+06, +8.964803e+06

Timing offsets (from input data):
    UK0004: -0.000597 s
    UK0045: -0.002216 s

Reference point on the trajectory:
  Time: 2021-11-03 03:22:42.926504 UTC
  Lon     = ++3.388278 +/- 0.0106 deg
  Lat     = +50.933133 +/- 0.0006 deg
  Lat geo = +50.747914 +/- 0.0006 deg
  Ht      =  110716.14 +/- 425.57 m

  JD dynamic   = 2459521.641575353220 
  LST apparent = 96.6785210482 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 132.92325 +/- 9.8850 deg
  Dec       = +50.85590 +/- 3.6919 deg
  Azimuth   =  75.93712 +/- 13.5093 deg
  Elevation = +67.37101 +/- 6.0135 deg
  Vavg      =  63.07215 +/- 6.9077 km/s
  Vinit     =  66.08763 +/- 26.6185 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 133.25281 +/- 9.8850 deg
  Dec       = +50.73685 +/- 3.6919 deg
  Azimuth   =  76.09888 +/- 13.5093 deg
  Elevation = +67.13937 +/- 6.0135 deg
  Vavg      =  63.18426 +/- 6.9077 km/s
  Vinit     =  66.19974 +/- 26.6185 km/s
Radiant (geocentric, J2000):
  R.A.   = 132.78635 +/- 9.9526 deg
  Dec    = +50.89887 +/- 3.7271 deg
  Vg     =  65.14967 +/- 8.7502 km/s
  Vinf   =  66.08763 +/- 8.6165 km/s
  Zc     =  22.67467 +/- 5.9798 deg
  Zg     =  22.83888 +/- 6.0164 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 120.29295 +/- 7.9612 deg
  Bg     = +31.86388 +/- 2.0935 deg
  Vh     =  43.42527 +/- 6.9325 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 107.62035 +/- 19.9804 deg
  Bh     = +52.37285 +/- 2.4274 deg
  Vh_x   =   8.02541 +/- 8.8950 km/s
  Vh_y   = -25.26816 +/- 6.1610 km/s
  Vh_z   = -34.39283 +/- 4.3899 km/s
Orbit:
  La Sun = 220.627298 +/- -0.0000 deg
  a      =  -9.109562 +/- 4.9438 AU
  e      =   1.102996 +/- 0.6145
  i      = 125.356839 +/- 9.4922 deg
  peri   = 206.300544 +/- 32.8450 deg
  node   = 220.629744 +/- 0.0002 deg
  Pi     =  66.930288 +/- 32.8449 deg
  q      =   0.938247 +/- 0.1261 AU
  f      = 333.700586 +/- 32.8451 deg
  M      =        nan +/- nan deg
  Q      = -19.157372 +/- 9.9431 AU
  n      =   0.035847 +/- 0.6282 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.283915 +/- 3.8733
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.526229e-02, -2.611085e-02, -6.820544e+01, -4.135770e-05, -1.034056e+01, -2.067411e+00
q   , -2.611085e-02, +1.436330e-02, +2.568966e+01, +2.165673e-05, +4.747766e+00, +1.094417e+00
Tp  , -6.820544e+01, +2.568966e+01, +1.056690e+05, +4.466385e-02, +1.316619e+04, +2.199482e+03
node, -4.135770e-05, +2.165673e-05, +4.466385e-02, +3.587667e-08, +7.517593e-03, +1.831992e-03
peri, -1.034056e+01, +4.747766e+00, +1.316619e+04, +7.517593e-03, +1.949061e+03, +3.741877e+02
i   , -2.067411e+00, +1.094417e+00, +2.199482e+03, +1.831992e-03, +3.741877e+02, +9.383136e+01

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

Mean time residuals from time vs. length:
  Station with reference time: UK0045
  Avg. res. = 3.335e-05 s
  Stddev    = 5.78e-03 s

Begin point on the trajectory:
  Lon =     3.390734 +/- 0.0110 deg
  Lat =    50.933521 +/- 0.0007 deg
  Ht  = 111150.52 +/- 413.05 m
End point on the trajectory:
  Lon =     3.346898 +/- 0.0103 deg
  Lat =    50.926655 +/- 0.0009 deg
  Ht  = 103494.62 +/- 372.40 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   111150.52,   103494.62,          0.033856,    111.40,     92.13,              47.23, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_032235_188_0924928.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,   109978.94,   103548.84,          0.034245,    151.29,     64.62,              51.36, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_032238_097_0923136.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,     UK0004,       0,  0.001030, 2459521.640774612315, 171.28394,  23.35687,               83.65992,  25.49865,        83.69978,       25.50243,    171.28394,     +23.35687,     171.25256,      +23.33498,  -476748.26,  4070025.99,  5015220.86,      50.933521,       +3.390734,  111150.52,  249007.75,       0.00,              470.61,   574.89,      0.00,           68383.82,    100.16,    121.17,         130.23,  +2.43,  +0.45
  1,     UK0004,       0,  0.041406, 2459521.640775079839, 171.54665,  22.97328,               83.75518,  25.05362,        83.75208,       25.05332,    171.54665,     +22.97328,     171.54926,      +22.97498,  -475453.86,  4068634.18,  5012885.74,      50.931033,       +3.374848,  108371.50,  246710.72,    3010.88,             2540.27,   -23.80,  74571.02,           68383.82,     -7.73,     -9.38,          10.16,  +2.18,  +0.22
  2,     UK0004,       0,  0.081762, 2459521.640775546897, 171.83448,  22.65479,               83.78087,  24.63975,        83.79969,       24.64154,    171.83448,     +22.65479,     171.81993,      +22.64444,  -474287.50,  4067380.05,  5010781.61,      50.928787,       +3.360507,  105867.54,  244653.22,    5723.92,             5253.31,    22.20,  67227.68,           68383.82,     46.77,     56.64,          61.92,  +1.47,  -0.47
  3,     UK0004,       0,  0.122106, 2459521.640776013490, 172.12602,  22.35841,               83.78578,  24.23930,        83.84525,       24.24492,    172.12602,     +22.35841,     172.07940,      +22.32565,  -473182.12,  4066191.48,  5008787.48,      50.926655,       +3.346898,  103494.62,  242714.71,    8295.13,             7824.52,   -72.82,  63732.23,           68383.82,    147.23,    177.94,         196.27,  +1.82,  -0.11
  0,     UK0045,       0,  0.000000, 2459521.640774620231, 163.99152,  13.40832,               96.42290,  22.36247,        96.36615,       22.35094,    163.99152,     +13.40832,     164.04059,      +13.43303,  -476202.58,  4069439.24,  5014236.44,      50.932473,       +3.384106,  109978.94,  275749.88,       0.00,              798.69,   971.02,      0.00,           59848.15,   -101.53,   -237.88,         193.47,  +6.13,  +3.93
  1,     UK0045,       0,  0.040156, 2459521.640775084961, 164.09048,  13.25506,               96.44879,  22.18307,        96.40845,       22.17488,    164.09048,     +13.25506,     164.12554,      +13.27264,  -475674.79,  4068871.73,  5013284.31,      50.931458,       +3.377529,  108845.81,  274873.95,    1227.67,             2026.36,  -455.12,  30572.64,           59848.15,    -72.09,   -168.72,         137.68,  +3.60,  +1.40
  2,     UK0045,       0,  0.080560, 2459521.640775552485, 164.36790,  12.85500,               96.50003,  21.70262,        96.51936,       21.70653,    164.36790,     +12.85500,     164.35150,      +12.84655,  -474291.89,  4067384.76,  5010789.52,      50.928795,       +3.360558,  105876.95,  272609.37,    4444.42,             5243.11,    91.42,  79614.62,           59848.15,     34.47,     80.37,          66.17,  +2.32,  +0.14
  3,     UK0045,       0,  0.120888, 2459521.640776019543, 164.52872,  12.50670,               96.60880,  21.33427,        96.60721,       21.33395,    164.52872,     +12.50670,     164.53061,      +12.50740,  -473207.37,  4066218.64,  5008833.05,      50.926704,       +3.347203,  103548.84,  270844.64,    6967.08,             7765.77,   -51.10,  62553.49,           59848.15,     -2.83,     -6.60,           5.47,  +1.69,  -0.47

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.