Orbital Analysis for matched events on 20211103_014643.897_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 8.30° Bg 37.19° Vg 11.41km/s
mass 0.04305g, abs. mag 1.4
best visual mag 1.2
Path Details
------------
start -2.01° 51.52° 79.27km
end   -1.99° 51.51° 77.42km

Orbit Details
-------------
Semimajor axis 1.94A.U., eccentricity 0.53, inclination 11.19°, Period 2.70Y, LA Sun 220.56°, last Perihelion 2019-03-22

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: 2459521.574119181838
Time: 2021-11-03 01:46:43.898518 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0049
 Convergence angle = 84.65544 deg
 R.A. = 357.72105  Dec = +42.83980 deg

Best intersection: Stations UK001Z and UK0049 with Qconv = 84.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1559204.05 +/- 28.17 m
 Y =   3712154.04 +/- 26.46 m
 Z =   5031774.36 +/- 29.35 m
 Vx =    11826.50 +/- 237.29 m/s
 Vy =     -270.10 +/- 345.61 m/s
 Vz =    10679.48 +/- 264.84 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.380715e+02, +7.293784e+01, +2.766659e+01, +2.371402e+03, -1.944331e+03, -4.526290e+03
+7.293784e+01, +7.123802e+02, +3.462659e+02, +5.461291e+02, +7.674212e+03, +2.435291e+03
+2.766659e+01, +3.462659e+02, +8.607843e+02, -2.573272e+03, +4.359419e+03, +4.555798e+03
+2.371402e+03, +5.461291e+02, -2.573272e+03, +2.502454e+04, +4.607748e+03, -2.695583e+04
-1.944331e+03, +7.674212e+03, +4.359419e+03, +4.607748e+03, +1.227523e+05, +5.480163e+04
-4.526290e+03, +2.435291e+03, +4.555798e+03, -2.695583e+04, +5.480163e+04, +6.214503e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK001Z: 0.000170 s
    UK003Z: 0.000000 s
    UK0049: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:46:43.898518 UTC
  Lon     = +-2.012305 +/- 0.0004 deg
  Lat     = +51.519277 +/- 0.0002 deg
  Lat geo = +51.333981 +/- 0.0002 deg
  Ht      =   79251.01 +/- 33.55 m

  JD dynamic   = 2459521.574919936713 
  LST apparent = 67.2162908056 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 358.69166 +/- 1.6425 deg
  Dec       = +42.07502 +/- 0.9436 deg
  Azimuth   = 286.47256 +/- 1.1159 deg
  Elevation = +43.92071 +/- 1.3200 deg
  Vavg      =  16.24441 +/- 0.0594 km/s
  Vinit     =  15.93708 +/- 0.0974 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 359.22456 +/- 1.6425 deg
  Dec       = +42.74045 +/- 0.9436 deg
  Azimuth   = 286.89853 +/- 1.1159 deg
  Elevation = +44.63107 +/- 1.3200 deg
  Vavg      =  16.04304 +/- 0.0594 km/s
  Vinit     =  15.73571 +/- 0.0974 km/s
Radiant (geocentric, J2000):
  R.A.   = 350.29085 +/- 1.9259 deg
  Dec    = +36.89245 +/- 1.2729 deg
  Vg     =  11.41442 +/- 0.1374 km/s
  Vinf   =  15.93708 +/- 0.0974 km/s
  Zc     =  46.13210 +/- 1.3955 deg
  Zg     =  54.18758 +/- 1.8130 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   8.30179 +/- 2.2517 deg
  Bg     = +37.18802 +/- 0.8965 deg
  Vh     =  36.47639 +/- 0.1712 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 323.67304 +/- 0.5238 deg
  Bh     = +10.90299 +/- 0.2984 deg
  Vh_x   = -28.85672 +/- 0.1332 km/s
  Vh_y   =  21.21828 +/- 0.3608 km/s
  Vh_z   =  -6.89939 +/- 0.1616 km/s
Orbit:
  La Sun = 220.560531 +/- 0.0000 deg
  a      =   1.937823 +/- 0.0559 AU
  e      =   0.525318 +/- 0.0107
  i      =  11.187746 +/- 0.3162 deg
  peri   = 217.963515 +/- 1.8971 deg
  node   = 220.557391 +/- 0.0001 deg
  Pi     =  78.520906 +/- 1.8972 deg
  q      =   0.919849 +/- 0.0061 AU
  f      = 322.040895 +/- 1.8972 deg
  M      = 349.417670 +/- 0.8762 deg
  Q      =   2.955798 +/- 0.1069 AU
  n      =   0.365370 +/- 0.0148 deg/day
  T      =   2.697565 +/- 0.1183 years
  Last perihelion JD = 2458565.235437 (2019-03-22 17:39:01.730261) +/- 44.4560 days
  Tj     =   3.704348 +/- 0.0663
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.187524e-04, +5.051089e-05, -4.903780e-01, -1.532952e-06, -1.694878e-02, -3.441682e-03
q   , +5.051089e-05, +3.982386e-05, -2.403980e-01, -6.058111e-07, -1.240166e-02, -1.388107e-03
Tp  , -4.903780e-01, -2.403980e-01, +2.082091e+03, +6.277168e-03, +7.898727e+01, +1.412885e+01
node, -1.532952e-06, -6.058111e-07, +6.277168e-03, +2.346360e-08, +2.053199e-04, +5.286738e-05
peri, -1.694878e-02, -1.240166e-02, +7.898727e+01, +2.053199e-04, +3.889913e+00, +4.690258e-01
i   , -3.441682e-03, -1.388107e-03, +1.412885e+01, +5.286738e-05, +4.690258e-01, +1.193530e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 5.376122
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0049
  Avg. res. = 8.517e-06 s
  Stddev    = 2.92e-03 s

Begin point on the trajectory:
  Lon =    -2.012638 +/- 0.0003 deg
  Lat =    51.519338 +/- 0.0002 deg
  Ht  = 79274.50 +/- 25.37 m
End point on the trajectory:
  Lon =    -1.987017 +/- 0.0003 deg
  Lat =    51.514486 +/- 0.0002 deg
  Ht  = 77419.91 +/- 29.12 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,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    79258.18,    76591.94,          0.066819,       nan,       nan,              38.37, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_014641_876_0773888.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   8.054703,   0.000000,    79274.50,    77422.37,          0.022901,     10.69,     48.87,              79.29, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20211103_014637_455_0761344.fits"}
    UK003Z,    True,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,    79446.90,    77154.85,          0.082167,       nan,       nan,              33.18, 0.0000,    True,    True, {"ff_name": "FF_UK003Z_20211103_014640_606_0769792.fits"}
    UK0049,   False,    -1.967550,    52.349810,  132.00,   1.208166,  12.202059,    79186.05,    77419.91,          0.014153,     29.37,      6.14,              72.28, 1.0000,    True,    True, {"ff_name": "FF_UK0049_20211103_014642_788_0771840.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,       1, -0.012061, 2459521.574119042140,  36.34210,  21.27193,              230.61574,  50.84654,       230.61512,       50.84848,     36.34210,     +21.27193,      36.34348,      +21.27340,  1559211.72,  3712153.87,  5031781.29,      51.519296,       -2.012351,   79258.18,  101691.93,       0.00,               10.34,   122.37,     -0.00,           16378.81,     -1.16,      3.33,           7.15,  +3.92,  +3.88
  1,     UK0006,       1,  0.027943, 2459521.574119505472,  36.55875,  21.13645,              230.23120,  50.83311,       230.24344,       50.79563,     36.55875,     +21.13645,      36.53129,      +21.10812,  1558689.50,  3712165.79,  5031309.71,      51.518019,       -2.005601,   78770.05,  101141.95,     703.73,              693.39,   167.88,  17591.61,           16378.81,     22.15,    -63.83,         137.78,  +1.93,  +1.91
  2,     UK0006,       1,  0.067935, 2459521.574119968340,  36.74612,  21.03112,              229.90805,  50.83102,       229.93498,       50.74991,     36.74612,     +21.03112,      36.68672,      +20.96977,  1558257.82,  3712175.65,  5030919.90,      51.516964,       -2.000049,   78366.58,  100689.64,    1285.45,             1275.11,   112.23,  14545.70,           16378.81,     47.60,   -137.65,         298.36,  +1.81,  +1.80
  3,     UK0006,       1,  0.107987, 2459521.574120431673,  36.92898,  20.85329,              229.53285,  50.76356,       229.55666,       50.69367,     36.92898,     +20.85329,      36.87791,      +20.80043,  1557734.50,  3712187.60,  5030447.33,      51.515684,       -1.993283,   77877.46,  100141.79,    1990.67,             1980.32,   179.14,  17607.57,           16378.81,     40.90,   -118.08,         257.40,  +1.85,  +1.85
  4,     UK0006,       1,  0.148035, 2459521.574120895006,  37.08134,  20.69199,              229.21041,  50.69535,       229.22860,       50.64311,     37.08134,     +20.69199,      37.04339,      +20.65249,  1557282.96,  3712197.92,  5030039.59,      51.514579,       -1.987467,   77455.45,   99671.33,    2599.15,             2588.81,   149.38,  15193.90,           16203.53,     30.51,    -87.93,         192.61,  +2.55,  +2.56
  5,     UK0006,       1,  0.188035, 2459521.574121358339,  37.22241,  20.60781,              228.96353,  50.68818,       228.99295,       50.60473,     37.22241,     +20.60781,      37.16157,      +20.54470,  1556957.90,  3712205.34,  5029746.05,      51.513783,       -1.983327,   77151.63,   99335.04,    3037.19,             3026.85,   -50.06,  10951.02,           15403.57,     48.50,   -140.10,         307.84,  +3.33,  +3.34
  6,     UK0006,       1,  0.228079, 2459521.574121821672,  37.44816,  20.40932,              228.51872,  50.62052,       228.54954,       50.53540,     37.44816,     +20.40932,      37.38615,      +20.34494,  1556358.98,  3712219.02,  5029205.22,      51.512316,       -1.975558,   76591.94,   98712.75,    3844.28,             3833.94,   118.84,  20154.98,           15627.22,     49.24,   -142.19,         314.43,  +4.08,  +4.11
  0,     UK001Z,       0,  0.001513, 2459521.574119195808, 162.26462,  58.18771,               42.16756,  38.65078,        42.16259,       38.64740,    162.26462,     +58.18771,     162.27416,      +58.18881,  1559229.17,  3712153.47,  5031797.05,      51.519338,       -2.012638,   79274.50,  125608.62,       0.00,               33.86,   -70.45,      0.00,           17116.87,     11.02,      2.41,          18.52,  +3.22,  +2.72
  1,     UK001Z,       0,  0.041657, 2459521.574119660072, 162.39082,  57.85012,               42.46260,  38.39554,        42.44987,       38.38688,    162.39082,     +57.85012,     162.41525,      +57.85292,  1558652.07,  3712166.65,  5031275.92,      51.517928,       -2.005161,   78735.07,  125453.71,     777.68,              743.82,    -0.26,  19372.32,           17116.87,     28.25,      6.17,          47.54,  +1.23,  +0.74
  2,     UK001Z,       0,  0.081781, 2459521.574120124802, 162.49809,  57.54806,               42.72624,  38.16816,        42.70459,       38.15348,    162.49809,     +57.54806,     162.53939,      +57.55278,  1558136.95,  3712178.41,  5030810.76,      51.516668,       -1.998504,   78253.60,  125318.58,    1471.84,             1437.98,    54.44,  17300.42,           17116.87,     48.03,     10.50,          80.92,  +1.76,  +1.27
  3,     UK001Z,       0,  0.121909, 2459521.574120589066, 162.63879,  57.29886,               42.92020,  37.95717,        42.91820,       37.95582,    162.63879,     +57.29886,     162.64306,      +57.29930,  1557701.73,  3712188.35,  5030417.75,      51.515604,       -1.992906,   77846.83,  125206.24,    2058.33,             2024.47,     1.41,  14615.49,           17116.87,      4.43,      0.97,           7.47,  +3.11,  +2.62
  4,     UK001Z,       0,  0.161993, 2459521.574121052865, 162.67059,  57.02494,               43.18255,  37.77707,        43.14049,       37.74867,    162.67059,     +57.02494,     162.74987,      +57.03401,  1557247.58,  3712198.72,  5030007.64,      51.514492,       -1.987056,   77422.37,  125092.02,    2670.34,             2636.48,   -25.41,  15268.14,           16503.54,     93.26,     20.40,         157.41,  +5.41,  +4.92
  0,     UK003Z,       1, -0.017063, 2459521.574118984398, 348.99310,  74.59261,              335.28056,  51.47982,       335.26987,       51.40857,    348.99310,     +74.59261,     348.73121,      +74.57594,  1559413.61,  3712149.25,  5031963.60,      51.519789,       -2.015004,   79446.90,  101169.95,       0.00,              282.41,   474.14,     -0.00,           17203.44,    123.43,    -27.08,         257.63,  +3.83,  +3.80
  1,     UK003Z,       1,  0.022853, 2459521.574119446333, 348.76049,  74.77191,              335.57927,  51.44388,       335.57039,       51.38749,    348.76049,     +74.77191,     348.55107,      +74.75850,  1558945.89,  3712159.94,  5031541.24,      51.518646,       -2.008976,   79009.70,  100643.84,     630.29,              347.88,   -96.53,  15790.41,           17203.44,     97.22,    -21.36,         204.00,  +1.93,  +1.92
  2,     UK003Z,       1,  0.062713, 2459521.574119907804, 348.68857,  74.99698,              335.94114,  51.45614,       335.92572,       51.36203,    348.68857,     +74.99698,     348.33416,      +74.97445,  1558401.02,  3712172.38,  5031049.22,      51.517314,       -2.001924,   78500.42,  100031.85,    1364.54,             1082.13,     2.47,  18420.67,           17203.44,    161.34,    -35.35,         340.58,  +1.19,  +1.19
  3,     UK003Z,       1,  0.102617, 2459521.574120369740, 348.44442,  75.19598,              336.27105,  51.42078,       336.25669,       51.33709,    348.44442,     +75.19598,     348.12548,      +75.17559,  1557897.74,  3712183.87,  5030594.75,      51.516083,       -1.995424,   78030.02,   99468.14,    2042.75,             1760.34,    44.73,  16996.10,           17203.44,    142.72,    -31.31,         302.99,  +2.22,  +2.23
  4,     UK003Z,       1,  0.142517, 2459521.574120831210, 348.15801,  75.40055,              336.61166,  51.37635,       336.59978,       51.31031,    348.15801,     +75.40055,     347.90328,      +75.38414,  1557381.77,  3712195.66,  5030128.82,      51.514821,       -1.988754,   77547.79,   98891.51,    2738.06,             2455.65,   104.15,  17426.29,           17267.84,    112.02,    -24.62,         239.23,  +2.16,  +2.18
  5,     UK003Z,       1,  0.182401, 2459521.574121293146, 348.13488,  75.58134,              336.90001,  51.39469,       336.88016,       51.28711,    348.13488,     +75.58134,     347.71469,      +75.55452,  1556961.33,  3712205.26,  5029749.15,      51.513792,       -1.983349,   77154.85,   98423.21,    3304.63,             3022.22,    35.09,  14205.53,           16848.86,    181.71,    -39.81,         389.84,  +3.60,  +3.63
  0,     UK0049,       0,  0.000000, 2459521.574119181838,  65.81813,   2.30128,              181.88048,  39.93701,       181.88521,       39.93308,     65.81813,      +2.30128,      65.81442,       +2.29743,  1559134.55,  3712155.63,  5031711.60,      51.519107,       -2.011379,   79186.05,  122098.27,       0.00,               93.65,    13.46,      0.00,           15687.09,      2.33,    -11.15,          19.25,  +3.34,  +2.91
  1,     UK0049,       0,  0.040172, 2459521.574119646568,  65.99944,   2.09903,              181.63962,  39.73819,       181.62995,       39.74619,     65.99944,      +2.09903,      66.00718,       +2.10689,  1558677.41,  3712166.07,  5031298.79,      51.517990,       -2.005492,   78758.75,  121905.74,     616.03,              709.69,   -10.73,  15334.92,           15687.09,     -4.76,     22.73,          39.30,  +1.79,  +1.36
  2,     UK0049,       0,  0.080340, 2459521.574120111763,  66.21607,   1.90191,              181.35443,  39.54455,       181.35536,       39.54378,     66.21607,      +1.90191,      66.21567,       +1.90115,  1558185.43,  3712177.30,  5030854.53,      51.516787,       -1.999142,   78298.91,  121701.57,    1279.01,             1372.66,    12.08,  16505.01,           15687.09,      0.46,     -2.19,           3.80,  +1.91,  +1.48
  3,     UK0049,       0,  0.120492, 2459521.574120576493,  66.41423,   1.72492,              181.09493,  39.37017,       181.10804,       39.35939,     66.41423,      +1.72492,      66.40447,       +1.71427,  1557740.03,  3712187.48,  5030452.33,      51.515697,       -1.993409,   77882.62,  121519.49,    1879.22,             1972.87,   -27.62,  14948.38,           15687.09,      6.42,    -30.71,          53.25,  +2.24,  +1.82
  4,     UK0049,       0,  0.160664, 2459521.574121041223,  66.63234,   1.52400,              180.81068,  39.17147,       180.83299,       39.15318,     66.63234,      +1.52400,      66.61554,       +1.50586,  1557244.95,  3712198.78,  5030005.26,      51.514486,       -1.987017,   77419.91,  121320.15,    2546.38,             2640.03,    -0.68,  16607.68,           15824.66,     10.90,    -52.18,          90.63,  +3.44,  +3.02

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.