Orbital Analysis for matched events on 20210816_222156.681_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 335.54° Bg 54.99° Vg 24.90km/s
mass 0.02353g, abs. mag 1.5
Path Details
------------
start -1.11° 50.12° 98.36km
end   -1.14° 50.14° 88.12km

Orbit Details
-------------
Semimajor axis 2.08A.U., eccentricity 0.61, inclination 37.54°, Period 3.00Y, LA Sun 143.97°, last Perihelion 2018-09-27

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: 2459443.431906039827
Time: 2021-08-16 22:21:56.681841 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0009
 Convergence angle = 40.15239 deg
 R.A. = 314.18486  Dec = +41.86452 deg

Best intersection: Stations UK0001 and UK0009 with Qconv = 40.15 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2073839.97 +/- 88.91 m
 Y =  -3606560.86 +/- 105.16 m
 Z =   4947195.21 +/- 52.40 m
 Vx =    14046.55 +/- 670.51 m/s
 Vy =   -14794.44 +/- 142.43 m/s
 Vz =    18092.08 +/- 975.04 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.089912e+03, -9.675433e+03, +1.398891e+03, +1.190095e+04, -1.830039e+04, -3.944761e+04
-9.675433e+03, +1.326248e+04, -7.099623e+02, -1.792963e+04, +4.037244e+04, +4.163239e+04
+1.398891e+03, -7.099623e+02, +2.933563e+03, -6.888870e+02, +1.342907e+03, -3.196703e+03
+1.190095e+04, -1.792963e+04, -6.888870e+02, +2.235264e+05, -2.734362e+05, +1.646117e+05
-1.830039e+04, +4.037244e+04, +1.342907e+03, -2.734362e+05, +4.241787e+05, -1.631699e+05
-3.944761e+04, +4.163239e+04, -3.196703e+03, +1.646117e+05, -1.631699e+05, +4.815593e+05

Timing offsets (from input data):
    UK0001: -0.000706 s
    UK0009: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 22:21:56.681841 UTC
  Lon     = +-1.111998 +/- 0.0005 deg
  Lat     = +50.124724 +/- 0.0009 deg
  Lat geo = +49.938142 +/- 0.0009 deg
  Ht      =   98332.85 +/- 100.77 m

  JD dynamic   = 2459443.432706780732 
  LST apparent = 299.8997073801 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 313.51457 +/- 0.5447 deg
  Dec       = +41.56803 +/- 1.0953 deg
  Azimuth   = 126.98791 +/- 4.7285 deg
  Elevation = +77.26252 +/- 0.6677 deg
  Vavg      =  27.49428 +/- 0.5684 km/s
  Vinit     =  27.26728 +/- 0.8921 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 314.33973 +/- 0.5447 deg
  Dec       = +41.46571 +/- 1.0953 deg
  Azimuth   = 125.31629 +/- 4.7285 deg
  Elevation = +76.76141 +/- 0.6677 deg
  Vavg      =  27.54934 +/- 0.5684 km/s
  Vinit     =  27.32234 +/- 0.8921 km/s
Radiant (geocentric, J2000):
  R.A.   = 313.84190 +/- 0.5790 deg
  Dec    = +41.06920 +/- 1.1392 deg
  Vg     =  24.90337 +/- 0.9763 km/s
  Vinf   =  27.26728 +/- 0.8921 km/s
  Zc     =  12.62609 +/- 0.6573 deg
  Zg     =  13.20051 +/- 0.6859 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 335.53612 +/- 1.4604 deg
  Bg     = +54.98971 +/- 0.9065 deg
  Vh     =  36.41602 +/- 0.6757 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 262.33672 +/- 1.0830 deg
  Bh     = +34.06374 +/- 1.0685 deg
  Vh_x   =   4.02288 +/- 0.5117 km/s
  Vh_y   =  29.89815 +/- 0.5229 km/s
  Vh_z   = -20.39716 +/- 0.8385 km/s
Orbit:
  La Sun = 143.965854 +/- -0.0000 deg
  a      =   2.081316 +/- 0.2576 AU
  e      =   0.614676 +/- 0.0455
  i      =  37.538251 +/- 1.2649 deg
  peri   = 243.004129 +/- 1.8424 deg
  node   = 143.970735 +/- 0.0002 deg
  Pi     =  26.974863 +/- 1.8426 deg
  q      =   0.801981 +/- 0.0065 AU
  f      = 296.989777 +/- 1.8425 deg
  M      = 346.017585 +/- 2.9113 deg
  Q      =   3.360651 +/- 0.5151 AU
  n      =   0.328244 +/- 0.0565 deg/day
  T      =   3.002671 +/- 0.5722 years
  Last perihelion JD = 2458389.285778 (2018-09-27 18:51:31.232237) +/- 210.6552 days
  Tj     =   3.291547 +/- 0.2877
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.133827e-03, -4.660947e-06, -9.931364e+00, -1.071444e-07, -1.252100e-03, +6.341812e-04
q   , -4.660947e-06, +4.566451e-05, -1.152540e-01, -1.208929e-08, -1.302842e-04, +7.338776e-05
Tp  , -9.931364e+00, -1.152540e-01, +4.779895e+04, +4.998915e-04, +6.162814e+00, -2.964269e+00
node, -1.071444e-07, -1.208929e-08, +4.998915e-04, +1.348487e-11, +1.001215e-07, -8.056606e-08
peri, -1.252100e-03, -1.302842e-04, +6.162814e+00, +1.001215e-07, +1.125986e-03, -5.979169e-04
i   , +6.341812e-04, +7.338776e-05, -2.964269e+00, -8.056606e-08, -5.979169e-04, +4.814072e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.185691
 a2 = 20.790712

Mean time residuals from time vs. length:
  Station with reference time: UK0009
  Avg. res. = 1.296e-05 s
  Stddev    = 3.60e-03 s

Begin point on the trajectory:
  Lon =    -1.111927 +/- 0.0004 deg
  Lat =    50.124690 +/- 0.0009 deg
  Ht  = 98361.37 +/- 66.76 m
End point on the trajectory:
  Lon =    -1.139098 +/- 0.0005 deg
  Lat =    50.137034 +/- 0.0013 deg
  Ht  = 88123.23 +/- 89.43 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   9.441332,   0.000000,    97847.48,    89999.20,          0.019593,     44.92,      2.44,              32.82, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210816_222154_393_0210944.fits"}
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.836564,  16.995302,    98361.37,    88123.23,          0.027170,     59.65,     45.89,              47.62, 1.0000,    True,    True, {"ff_name": "FF_UK0009_20210816_222155_813_0160512.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,     UK0001,       0,  0.018387, 2459443.431906123646, 320.33409,   9.83260,              149.62254,  45.45673,       149.65570,       45.46055,    320.33409,      +9.83260,     320.31050,       +9.82868,  2073583.62, -3606290.86,  4946865.03,      50.125309,       -1.113235,   97847.48,  136253.59,       0.00,              497.62,  -292.15,      0.00,           30064.17,     -3.01,     55.96,          84.84,  +4.00,  +3.33
  1,     UK0001,       0,  0.058459, 2459443.431906587444, 320.35923,   9.51963,              149.73306,  45.15256,       149.73432,       45.15270,    320.35923,      +9.51963,     320.35850,       +9.51948,  2072870.30, -3605539.56,  4945946.27,      50.126935,       -1.116762,   96496.84,  135080.96,    1384.71,             1882.33,    -0.10,  34555.45,           30064.17,     -0.12,      2.12,           3.23,  +2.76,  +2.11
  2,     UK0001,       0,  0.098543, 2459443.431907051243, 320.40603,   9.24109,              149.79816,  44.87400,       149.80530,       44.87482,    320.40603,      +9.24109,     320.40124,       +9.24025,  2072236.49, -3604872.01,  4945129.91,      50.128381,       -1.119916,   95296.75,  134042.00,    2615.06,             3112.69,   137.27,  30694.50,           30064.17,     -0.65,     11.97,          18.45,  +2.42,  +1.78
  3,     UK0001,       0,  0.138591, 2459443.431907515042, 320.42025,   9.01001,              149.88397,  44.65065,       149.86398,       44.64834,    320.42025,      +9.01001,     320.43514,       +9.01238,  2071726.34, -3604334.70,  4944472.84,      50.129546,       -1.122489,   94330.80,  133207.31,    3605.37,             4102.99,    35.58,  24727.94,           30064.17,      1.85,    -33.45,          51.88,  +2.83,  +2.21
  4,     UK0001,       0,  0.178691, 2459443.431907978840, 320.49108,   8.78081,              149.89405,  44.41111,       149.92393,       44.41455,    320.49108,      +8.78081,     320.47017,       +8.77723,  2071206.50, -3603787.18,  4943803.28,      50.130732,       -1.125108,   93346.48,  132359.07,    4614.49,             5112.11,   -48.72,  25165.00,           28571.23,     -2.71,     49.87,          77.83,  +1.68,  +1.07
  5,     UK0001,       0,  0.218755, 2459443.431908442639, 320.51706,   8.51104,              149.98058,  44.14730,       149.99073,       44.14847,    320.51706,      +8.51104,     320.51054,       +8.50983,  2070623.41, -3603173.04,  4943052.26,      50.132063,       -1.128026,   92242.42,  131410.89,    5746.38,             6244.00,    -9.26,  28252.17,           28099.24,     -0.93,     16.88,          26.54,  +2.66,  +2.07
  6,     UK0001,       0,  0.258815, 2459443.431908906437, 320.53513,   8.24407,              150.07536,  43.88855,       150.05614,       43.88633,    320.53513,      +8.24407,     320.55012,       +8.24637,  2070057.02, -3602576.49,  4942322.74,      50.133357,       -1.130867,   91169.95,  130492.56,    6845.87,             7343.49,    -2.11,  27445.99,           27860.71,      1.78,    -31.91,          50.52,  +2.44,  +1.86
  7,     UK0001,       0,  0.298943, 2459443.431909370702, 320.63254,   7.96100,              150.07344,  43.58951,       150.12734,       43.59571,    320.63254,      +7.96100,     320.59435,       +7.95447,  2069438.72, -3601925.27,  4941526.36,      50.134770,       -1.133953,   89999.20,  129493.72,    8046.12,             8543.74,   103.97,  29910.60,           27932.38,     -4.85,     89.19,         142.28,  +3.09,  +2.53
  0,     UK0009,       0,  0.000000, 2459443.431906039827, 293.34780,  -1.64246,              188.51751,  36.77957,       188.49009,       36.77353,    293.34780,      -1.64246,     293.36909,       -1.65050,  2073855.03, -3606576.72,  4947214.60,      50.124690,       -1.111927,   98361.37,  161978.43,       0.00,               29.24,  -259.19,      0.00,           29429.86,     39.28,    -51.04,          82.01,  +4.47,  +3.42
  1,     UK0009,       0,  0.039836, 2459443.431906500831, 293.19561,  -1.95545,              188.66972,  36.45372,       188.60895,       36.44033,    293.19561,      -1.95545,     293.24318,       -1.97338,  2073170.84, -3605856.10,  4946333.36,      50.126250,       -1.115315,   97065.90,  161075.62,    1328.15,             1298.92,   -75.72,  33340.53,           29429.86,     86.96,   -112.87,         182.46,  +3.22,  +2.18
  2,     UK0009,       0,  0.079764, 2459443.431906962767, 293.11528,  -2.24701,              188.73461,  36.15587,       188.71207,       36.15091,    293.11528,      -2.24701,     293.13324,       -2.25367,  2072582.99, -3605236.96,  4945576.21,      50.127591,       -1.118251,   95952.84,  160304.89,    2469.29,             2440.05,   -23.32,  28579.76,           29429.86,     32.19,    -41.83,          67.91,  +2.52,  +1.50
  3,     UK0009,       0,  0.119664, 2459443.431907424703, 293.01629,  -2.51260,              188.82493,  35.88204,       188.80876,       35.87848,    293.01629,      -2.51260,     293.02948,       -2.51740,  2072034.98, -3604659.77,  4944870.37,      50.128841,       -1.121001,   94915.19,  159590.50,    3533.09,             3503.86,   -47.48,  26661.80,           29429.86,     23.07,    -29.97,          48.88,  +2.12,  +1.10
  4,     UK0009,       0,  0.159564, 2459443.431907886639, 292.91053,  -2.84031,              188.91545,  35.54566,       188.92423,       35.54758,    292.91053,      -2.84031,     292.90424,       -2.83769,  2071375.91, -3603965.61,  4944021.49,      50.130345,       -1.124275,   93667.28,  158736.25,    4812.47,             4783.24,   143.94,  32064.71,           29651.82,    -12.49,     16.24,          26.62,  +2.34,  +1.34
  5,     UK0009,       0,  0.199508, 2459443.431908348575, 292.84323,  -3.09644,              188.96692,  35.28420,       189.01318,       35.29435,    292.84323,      -3.09644,     292.80740,       -3.08264,  2070876.59, -3603439.70,  4943378.35,      50.131485,       -1.126797,   92721.81,  158093.24,    5781.77,             5752.53,    24.07,  24266.36,           28944.88,    -65.72,     85.55,         140.75,  +2.10,  +1.11
  6,     UK0009,       0,  0.239348, 2459443.431908810046, 292.69996,  -3.36392,              189.10880,  35.00394,       189.11343,       35.00495,    292.69996,      -3.36392,     292.69725,       -3.36253,  2070310.94, -3602843.94,  4942649.79,      50.132777,       -1.129633,   91650.75,  157368.69,    6879.81,             6850.57,    35.78,  27561.26,           28544.59,     -6.58,      8.55,          14.13,  +2.27,  +1.29
  7,     UK0009,       0,  0.279272, 2459443.431909271982, 292.61539,  -3.63448,              189.17831,  34.72631,       189.20742,       34.73269,    292.61539,      -3.63448,     292.59332,       -3.62573,  2069783.68, -3602288.60,  4941970.68,      50.133981,       -1.132289,   90652.38,  156697.35,    7903.33,             7874.09,   -29.32,  25636.66,           28135.26,    -41.28,     53.69,          89.15,  +2.66,  +1.68
  8,     UK0009,       0,  0.319192, 2459443.431909733918, 292.53435,  -3.86774,              189.24761,  34.48611,       189.28956,       34.49531,    292.53435,      -3.86774,     292.50211,       -3.85510,  2069327.82, -3601808.47,  4941383.52,      50.135023,       -1.134608,   89789.17,  156120.20,    8788.25,             8759.02,  -232.90,  22167.49,           27546.17,    -59.41,     77.29,         128.80,  +3.01,  +2.04
  9,     UK0009,       0,  0.359092, 2459443.431910195854, 292.43889,  -4.09052,              189.33505,  34.25482,       189.36979,       34.26244,    292.43889,      -4.09052,     292.41251,       -4.08002,  2068884.00, -3601341.02,  4940811.88,      50.136037,       -1.136871,   88948.76,  155561.15,    9649.79,             9620.56,  -459.33,  21592.44,           26921.56,    -49.16,     63.93,         106.93,  +4.66,  +3.70
 10,     UK0009,       0,  0.398948, 2459443.431910657324, 292.31191,  -4.29867,              189.46150,  34.03480,       189.44882,       34.03201,    292.31191,      -4.29867,     292.32374,       -4.30253,  2068448.05, -3600881.86,  4940250.37,      50.137034,       -1.139098,   88123.23,  155014.73,   10496.07,            10466.84,  -699.81,  21233.43,           26322.69,     17.96,    -23.31,          39.16,  +5.00,  +4.05

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.