Orbital Analysis for matched events on 20211111_225218.686_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 130.73° Bg 45.27° Vg 57.87km/s
mass 0.01369g, abs. mag 0.2
best visual mag 1.3
Path Details
------------
start 2.59° 51.84° 105.46km
end   2.48° 51.74° 96.70km

Orbit Details
-------------
Semimajor axis -19.78A.U., eccentricity 1.05, inclination 103.90°, Period nanY, LA Sun 229.47°, 

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: 2459530.452994055115
Time: 2021-11-11 22:52:18.726474 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003W and UK004C
 Convergence angle = 6.90552 deg
 R.A. = 156.33274  Dec = +59.88642 deg

Best intersection: Stations UK003W and UK004C with Qconv = 6.91 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3206303.74 +/- 297.18 m
 Y =   2413956.74 +/- 689.23 m
 Z =   5076947.22 +/- 510.68 m
 Vx =   -26716.65 +/- 1346.33 m/s
 Vy =    12231.26 +/- 4343.85 m/s
 Vz =    51073.79 +/- 3413.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.781281e+04, -1.550841e+05, -1.174621e+05, +2.780931e+05, -6.553805e+05, -4.799321e+05
-1.550841e+05, +3.635541e+05, +2.742171e+05, -6.480630e+05, +1.550650e+06, +1.139349e+06
-1.174621e+05, +2.742171e+05, +2.109557e+05, -4.570819e+05, +1.108148e+06, +8.204754e+05
+2.780931e+05, -6.480630e+05, -4.570819e+05, +1.857732e+06, -4.300544e+06, -3.033746e+06
-6.553805e+05, +1.550650e+06, +1.108148e+06, -4.300544e+06, +1.011866e+07, +7.155215e+06
-4.799321e+05, +1.139349e+06, +8.204754e+05, -3.033746e+06, +7.155215e+06, +5.094808e+06

Timing offsets (from input data):
    UK003W: 0.000000 s
    UK004C: -0.000142 s

Reference point on the trajectory:
  Time: 2021-11-11 22:52:18.726474 UTC
  Lon     = ++2.600026 +/- 0.0104 deg
  Lat     = +51.856956 +/- 0.0016 deg
  Lat geo = +51.672955 +/- 0.0016 deg
  Ht      =  106708.89 +/- 511.41 m

  JD dynamic   = 2459530.453795260284 
  LST apparent = 36.9752997299 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 155.40102 +/- 7.3893 deg
  Dec       = +60.08765 +/- 0.9799 deg
  Azimuth   =  31.27348 +/- 3.9631 deg
  Elevation = +32.35025 +/- 1.1239 deg
  Vavg      =  58.33503 +/- 3.2204 km/s
  Vinit     =  58.92296 +/- 3.3893 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 155.13173 +/- 7.3893 deg
  Dec       = +59.87092 +/- 0.9799 deg
  Azimuth   =  31.56052 +/- 3.9631 deg
  Elevation = +32.27105 +/- 1.1239 deg
  Vavg      =  58.46396 +/- 3.2204 km/s
  Vinit     =  59.05189 +/- 3.3893 km/s
Radiant (geocentric, J2000):
  R.A.   = 155.76467 +/- 7.4581 deg
  Dec    = +59.75991 +/- 0.8666 deg
  Vg     =  57.86827 +/- 3.4660 km/s
  Vinf   =  58.92296 +/- 3.3893 km/s
  Zc     =  57.80707 +/- 1.1290 deg
  Zg     =  58.37840 +/- 1.2413 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 130.73259 +/- 3.6674 deg
  Bg     = +45.26875 +/- 2.7989 deg
  Vh     =  42.86166 +/- 1.5336 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 106.49108 +/- 41.8010 deg
  Bh     = +73.56867 +/- 4.6239 deg
  Vh_x   =   3.44162 +/- 1.5395 km/s
  Vh_y   = -11.62537 +/- 4.3952 km/s
  Vh_z   = -41.11117 +/- 1.0276 km/s
Orbit:
  La Sun = 229.472957 +/- 0.0000 deg
  a      = -19.779094 +/- 32.4708 AU
  e      =   1.048891 +/- 0.1383
  i      = 103.895014 +/- 5.6307 deg
  peri   = 197.299370 +/- 6.5768 deg
  node   = 229.473230 +/- 0.0001 deg
  Pi     =  66.772600 +/- 6.5769 deg
  q      =   0.967025 +/- 0.0077 AU
  f      = 342.701287 +/- 6.5768 deg
  M      =        nan +/- nan deg
  Q      = -40.525213 +/- 64.9397 AU
  n      =   0.011205 +/- 0.0771 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.559466 +/- 0.8439
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.233351e-02, -6.550879e-04, -9.234485e+02, +6.047052e-06, +6.405522e-01, +5.357456e-01
q   , -6.550879e-04, +3.691947e-05, +5.242770e+01, -3.075656e-07, -3.181123e-02, -2.723373e-02
Tp  , -9.234485e+02, +5.242770e+01, +1.224527e+08, -4.152516e-01, -4.126557e+04, -3.664243e+04
node, +6.047052e-06, -3.075656e-07, -4.152516e-01, +3.172033e-09, +3.417220e-04, +2.812885e-04
peri, +6.405522e-01, -3.181123e-02, -4.126557e+04, +3.417220e-04, +3.754599e+01, +3.031406e+01
i   , +5.357456e-01, -2.723373e-02, -3.664243e+04, +2.812885e-04, +3.031406e+01, +2.494474e+01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.638763
 a2 = 10.137017

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 4.827e-06 s
  Stddev    = 2.20e-03 s

Begin point on the trajectory:
  Lon =     2.585425 +/- 0.0085 deg
  Lat =    51.842065 +/- 0.0013 deg
  Ht  = 105461.13 +/- 419.36 m
End point on the trajectory:
  Lon =     2.481691 +/- 0.0097 deg
  Lat =    51.737137 +/- 0.0011 deg
  Ht  = 96702.98 +/- 443.93 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
    UK003W,   False,     0.164950,    51.426540,   67.00,   5.408499,   9.985652,   105461.13,    96702.98,          0.012137,     23.55,     35.45,              39.76, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211111_225210_420_0540416.fits"}
    UK004C,   False,     0.467741,    51.567354,   46.00,   0.000000,   0.000000,   104741.35,    98482.83,          0.015783,     22.30,     43.50,              41.82, 1.0000,    True,    True, {"ff_name": "FF_UK004C_20211111_225211_063_0541952.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,     UK003W,       1,  0.000000, 2459530.452994055115, 116.31919,  33.41327,               73.16099,  30.32756,        73.16134,       30.32890,    116.31919,     +33.41327,     116.31779,      +33.41399,  3206238.07,  2413986.80,  5077072.76,      51.857880,       +2.601100,  106786.39,  206496.10,       0.00,              144.84,   203.60,      0.00,           59423.16,     -4.13,      2.74,           4.95,  +6.19,  +4.62
  1,     UK003W,       0,  0.040104, 2459530.452994519379, 116.07475,  33.05204,               73.62545,  30.22082,        73.63006,       30.23809,    116.07475,     +33.05204,     116.05688,      +33.06129,  3207361.29,  2413472.58,  5074925.52,      51.842065,       +2.585425,  105461.13,  204508.96,    2477.24,             2332.40,    28.11,  61770.28,           59423.16,    -52.68,     35.04,          63.82,  +3.52,  +1.97
  2,     UK003W,       0,  0.080132, 2459530.452994982712, 115.78626,  32.73419,               74.08420,  30.17083,        74.07846,       30.14959,    115.78626,     +32.73419,     115.80873,      +32.72283,  3208417.83,  2412988.88,  5072905.76,      51.827182,       +2.570676,  104215.15,  202649.20,    4807.40,             4662.56,    -0.29,  58213.30,           59423.16,     64.28,    -42.65,          78.52,  +2.40,  +0.87
  3,     UK003W,       0,  0.120228, 2459530.452995446511, 115.54524,  32.37915,               74.54139,  30.06628,        74.53882,       30.05695,    115.54524,     +32.37915,     115.55545,      +32.37418,  3209484.74,  2412500.43,  5070866.16,      51.812144,       +2.555786,  102957.52,  200781.33,    7160.45,             7015.61,    -9.82,  58685.40,           59423.16,     27.99,    -18.59,          34.52,  +1.84,  +0.33
  4,     UK003W,       0,  0.160320, 2459530.452995910775, 115.30053,  32.02352,               75.00156,  29.96343,        75.00120,       29.96214,    115.30053,     +32.02352,     115.30253,      +32.02283,  3210538.77,  2412017.88,  5068851.18,      51.797280,       +2.541079,  101715.65,  198946.09,    9485.10,             9340.27,   -47.50,  57983.05,           59020.85,      3.82,     -2.54,           4.76,  +1.88,  +0.39
  5,     UK003W,       0,  0.200412, 2459530.452996374574, 115.04358,  31.65181,               75.48332,  29.85650,        75.48461,       29.86105,    115.04358,     +31.65181,     115.03969,      +31.65422,  3211622.46,  2411521.75,  5066779.51,      51.781991,       +2.525966,  100439.46,  197070.39,   11875.15,            11730.32,   -19.79,  59614.14,           58990.74,    -13.43,      8.92,          16.87,  +1.87,  +0.40
  6,     UK003W,       0,  0.240472, 2459530.452996838372, 114.78331,  31.31161,               75.94165,  29.77368,        75.93896,       29.76435,    114.78331,     +31.31161,     114.79398,      +31.30668,  3212624.68,  2411062.93,  5064863.59,      51.767843,       +2.511981,   99259.76,  195345.08,   14085.51,            13940.67,  -169.89,  55176.17,           58571.50,     27.32,    -18.13,          34.62,  +2.16,  +0.71
  7,     UK003W,       0,  0.280588, 2459530.452997302637, 114.52998,  30.90770,               76.44708,  29.64151,        76.45054,       29.65322,    114.52998,     +30.90770,     114.51903,      +30.91387,  3213734.51,  2410554.83,  5062741.94,      51.752169,       +2.496517,   97954.00,  193447.19,   16533.23,            16388.39,   -85.92,  61015.97,           58600.69,    -34.00,     22.60,          43.53,  +2.17,  +0.74
  8,     UK003W,       0,  0.320652, 2459530.452997766435, 114.24535,  30.53255,               76.95095,  29.54848,        76.94925,       29.54282,    114.24535,     +30.53255,     114.25253,      +30.52958,  3214798.33,  2410067.79,  5060708.25,      51.737137,       +2.481691,   96702.98,  191639.40,   18879.46,            18734.62,  -100.38,  58562.08,           58611.74,     16.30,    -10.82,          21.06,  +4.69,  +3.28
  0,     UK004C,       0,  0.066188, 2459530.452994828578, 110.13422,  33.39656,               77.69833,  34.25930,        77.69520,       34.24397,    110.13422,     +33.39656,     110.14998,      +33.38793,  3207971.56,  2413193.19,  5073758.87,      51.833469,       +2.576890,  104741.35,  182922.89,       0.00,             3678.34,  -162.88,      0.00,           60434.28,     44.16,    -22.63,          55.95,  +3.24,  +1.93
  1,     UK004C,       0,  0.106468, 2459530.452995294705, 109.78384,  32.95886,               78.32657,  34.17156,        78.32335,       34.15637,    109.78384,     +32.95886,     109.79959,      +32.95034,  3209156.33,  2412650.78,  5071493.97,      51.816774,       +2.560372,  103344.57,  180908.77,    2612.98,             6291.32,    76.67,  64870.29,           60434.28,     43.32,    -22.19,          55.49,  +2.67,  +1.38
  2,     UK004C,       0,  0.146732, 2459530.452995760832, 109.47923,  32.55417,               78.89406,  34.07826,        78.89317,       34.07420,    109.47923,     +32.55417,     109.48393,      +32.55190,  3210211.07,  2412167.91,  5069477.65,      51.801902,       +2.545653,  102101.70,  179127.79,    4939.17,             8617.51,    30.40,  57773.61,           60434.28,     11.47,     -5.88,          14.84,  +1.34,  +0.07
  3,     UK004C,       0,  0.187012, 2459530.452996226959, 109.16646,  32.12499,               79.48867,  33.97258,        79.49144,       33.98486,    109.16646,     +32.12499,     109.15489,      +32.13183,  3211298.56,  2411670.04,  5067398.71,      51.786561,       +2.530486,  100820.84,  177305.16,    7337.61,            11015.95,    55.42,  59544.18,           60434.28,    -34.40,     17.65,          44.98,  +1.48,  +0.24
  4,     UK004C,       0,  0.227252, 2459530.452996692620, 108.81190,  31.72870,               80.08441,  33.91478,        80.07960,       33.89408,    108.81190,     +31.72870,     108.83363,      +31.71721,  3212348.64,  2411189.30,  5065391.29,      51.771741,       +2.515839,   99584.63,  175558.17,    9653.54,            13331.88,     0.29,  57552.83,           59680.77,     57.51,    -29.45,          75.91,  +1.98,  +0.76
  5,     UK004C,       0,  0.267520, 2459530.452997158747, 108.56259,  31.32921,               80.60811,  33.78987,        80.61279,       33.80942,    108.56259,     +31.32921,     108.54410,      +31.34003,  3213284.95,  2410760.64,  5063601.36,      51.758519,       +2.502764,   98482.83,  174010.71,   11718.55,            15396.89,  -307.41,  51281.75,           58265.51,    -53.88,     27.65,          71.79,  +2.84,  +1.64

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.