Orbital Analysis for matched events on 20211103_204046.921_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 78.35° Bg 32.32° Vg 47.11km/s
mass 0.00676g, abs. mag 1.5
best visual mag 2.0
Path Details
------------
start -3.92° 51.49° 104.82km
end   -4.02° 51.43° 95.70km

Orbit Details
-------------
Semimajor axis 11.30A.U., eccentricity 0.97, inclination 76.44°, Period 37.99Y, LA Sun 221.35°, last Perihelion 1983-12-14

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: 2459522.361654184293
Time: 2021-11-03 20:40:46.921523 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 11.14160 deg
 R.A. =  68.76196  Dec = +62.45485 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 11.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3978626.06 +/- 56.93 m
 Y =   -730099.60 +/- 1304.95 m
 Z =   5049550.86 +/- 2640.43 m
 Vx =     8427.98 +/- 2415.57 m/s
 Vy =    26131.25 +/- 8967.89 m/s
 Vz =    39863.04 +/- 20411.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.554048e+03, -2.788055e+04, +5.240493e+04, +4.107944e+04, +1.218649e+05, +1.397828e+05
-2.788055e+04, +1.069710e+06, -2.127479e+06, -1.295988e+06, -3.997180e+06, -5.888556e+06
+5.240493e+04, -2.127479e+06, +4.266762e+06, +2.521513e+06, +7.742581e+06, +1.188979e+07
+4.107944e+04, -1.295988e+06, +2.521513e+06, +1.683412e+06, +5.261820e+06, +6.755095e+06
+1.218649e+05, -3.997180e+06, +7.742581e+06, +5.261820e+06, +1.698966e+07, +2.001936e+07
+1.397828e+05, -5.888556e+06, +1.188979e+07, +6.755095e+06, +2.001936e+07, +3.458001e+07

Timing offsets (from input data):
    UK0020: 0.000000 s
    UK0024: 0.001197 s

Reference point on the trajectory:
  Time: 2021-11-03 20:40:46.921523 UTC
  Lon     = +-3.915810 +/- 0.0049 deg
  Lat     = +51.487326 +/- 0.0050 deg
  Lat geo = +51.302716 +/- 0.0050 deg
  Ht      =  104828.25 +/- 745.03 m

  JD dynamic   = 2459522.362454925198 
  LST apparent = 349.6016010475 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  72.12420 +/- 0.8947 deg
  Dec       = +55.44182 +/- 9.8832 deg
  Azimuth   =  51.02362 +/- 7.1746 deg
  Elevation = +43.65938 +/- 7.5221 deg
  Vavg      =  46.00478 +/- 0.9188 km/s
  Vinit     =  48.40387 +/- 8.5885 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  72.20346 +/- 0.8947 deg
  Dec       = +55.15766 +/- 9.8832 deg
  Azimuth   =  51.32521 +/- 7.1746 deg
  Elevation = +43.47223 +/- 7.5221 deg
  Vavg      =  46.17129 +/- 0.9188 km/s
  Vinit     =  48.57038 +/- 8.5885 km/s
Radiant (geocentric, J2000):
  R.A.   =  72.67052 +/- 0.9265 deg
  Dec    = +55.05775 +/- 10.0453 deg
  Vg     =  47.11393 +/- 0.5900 km/s
  Vinf   =  48.40387 +/- 0.5733 km/s
  Zc     =  46.45691 +/- 7.5003 deg
  Zg     =  47.12108 +/- 7.6708 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  78.35334 +/- 0.4159 deg
  Bg     = +32.31849 +/- 10.0660 deg
  Vh     =  41.35451 +/- 0.7177 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  30.67782 +/- 0.3640 deg
  Bh     = +37.52312 +/- 11.6414 deg
  Vh_x   = -28.20841 +/- 0.3370 km/s
  Vh_y   = -16.73416 +/- 0.3097 km/s
  Vh_z   = -25.18827 +/- 7.7053 km/s
Orbit:
  La Sun = 221.349538 +/- -0.0000 deg
  a      =  11.301674 +/- 1.7873 AU
  e      =   0.966497 +/- 0.0114
  i      =  76.443768 +/- 1.1647 deg
  peri   = 284.951308 +/- 22.4052 deg
  node   = 221.348871 +/- 21.6604 deg
  Pi     = 146.300179 +/- 6.1042 deg
  q      =   0.378638 +/- 0.0422 AU
  f      = 255.048863 +/- 6.1042 deg
  M      = 359.003432 +/- 1.6941 deg
  Q      =  22.224710 +/- 3.5395 AU
  n      =   0.025941 +/- 0.0452 deg/day
  T      =  37.993982 +/- 6.8047 years
  Last perihelion JD = 2445683.235205 (1983-12-14 17:38:41.729042) +/- 2485.2972 days
  Tj     =   0.637810 +/- 0.3331
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.617884e-04, +4.395593e-04, -3.708616e+01, -1.163135e-03, -6.403071e-02, +1.119829e-02
q   , +4.395593e-04, +1.575160e-03, -9.336450e+01, +2.137215e-02, -2.510353e-01, +3.663979e-02
Tp  , -3.708616e+01, -9.336450e+01, +9.174846e+06, -4.790609e+02, +1.435248e+04, -2.573552e+03
node, -1.163135e-03, +2.137215e-02, -4.790609e+02, +4.262243e+01, -4.545039e+01, +9.271519e-01
peri, -6.403071e-02, -2.510353e-01, +1.435248e+04, -4.545039e+01, +8.181715e+01, -6.290069e+00
i   , +1.119829e-02, +3.663979e-02, -2.573552e+03, +9.271519e-01, -6.290069e+00, +1.023487e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000011
 a2 = 60.547514

Mean time residuals from time vs. length:
  Station with reference time: UK0020
  Avg. res. = 1.529e-05 s
  Stddev    = 3.91e-03 s

Begin point on the trajectory:
  Lon =    -3.915908 +/- 0.0060 deg
  Lat =    51.487277 +/- 0.0106 deg
  Ht  = 104819.78 +/- 1821.21 m
End point on the trajectory:
  Lon =    -4.022459 +/- 0.0098 deg
  Lat =    51.433968 +/- 0.0072 deg
  Ht  = 95701.20 +/- 1177.10 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
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   104819.78,    95969.08,          0.015953,     10.25,     36.75,              41.78, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20211103_204038_099_0300032.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   103513.52,    95701.20,          0.018621,     19.21,     40.61,              57.98, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20211103_204045_474_0304640.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,     UK0020,       0,  0.000000, 2459522.361654184293, 252.42827,  78.29988,              342.58851,  47.79481,       342.57279,       47.82224,    252.42827,     +78.29988,     252.57317,      +78.29972,  3978623.92,  -730106.23,  5049540.75,      51.487277,       -3.915908,  104819.78,  140496.50,       0.00,               12.27,   456.38,      0.00,           45911.87,    -69.41,     19.35,         105.79,  +4.06,  +3.32
  1,     UK0020,       0,  0.040212, 2459522.361654649489, 252.57087,  77.85254,              341.95186,  47.66219,       341.95276,       47.66066,    252.57087,     +77.85254,     252.56323,      +77.85255,  3978364.36,  -730911.01,  5048313.06,      51.481277,       -3.927952,  103790.69,  139472.42,    1490.73,             1503.00,     0.69,  37071.74,           45911.87,      3.85,     -1.08,           5.92,  +3.32,  +2.60
  2,     UK0020,       0,  0.080544, 2459522.361655116547, 252.50241,  77.23208,              341.10462,  47.42117,       341.09887,       47.43074,    252.50241,     +77.23208,     252.54949,      +77.23202,  3978009.36,  -732011.71,  5046633.96,      51.473066,       -3.944364,  102383.50,  138084.85,    3529.58,             3541.86,    87.32,  50551.80,           45911.87,    -23.98,      6.70,          37.19,  +2.42,  +1.72
  3,     UK0020,       0,  0.120856, 2459522.361655583140, 252.52770,  76.62460,              340.27150,  47.19765,       340.27029,       47.19960,    252.52770,     +76.62460,     252.53736,      +76.62459,  3977668.70,  -733067.94,  5045022.69,      51.465181,       -3.960121,  101033.45,  136768.94,    5486.08,             5498.35,    92.56,  48533.90,           45911.87,     -4.87,      1.36,           7.62,  +2.18,  +1.50
  4,     UK0020,       0,  0.161168, 2459522.361656049732, 252.44349,  76.04651,              339.49994,  46.95579,       339.48836,       46.97413,    252.44349,     +76.04651,     252.52697,      +76.04641,  3977350.56,  -734054.34,  5043517.94,      51.457812,       -3.974849,   99772.91,  135554.35,    7313.23,             7325.50,   -31.54,  45325.20,           46211.32,    -45.50,     12.70,          71.89,  +2.30,  +1.64
  5,     UK0020,       0,  0.201484, 2459522.361656516325, 252.54066,  75.40659,              338.62709,  46.72426,       338.63087,       46.71843,    252.54066,     +75.40659,     252.51618,      +75.40662,  3977004.77,  -735126.46,  5041882.42,      51.449798,       -3.990842,   98403.13,  134249.90,    9299.16,             9311.43,     2.94,  49259.12,           46732.44,     14.39,     -4.03,          22.96,  +2.51,  +1.87
  6,     UK0020,       0,  0.241828, 2459522.361656983383, 252.41372,  74.78281,              337.81707,  46.44104,       337.80252,       46.46299,    252.41372,     +74.78281,     252.50663,      +74.78270,  3976673.99,  -736152.07,  5040317.87,      51.442126,       -4.006151,   97093.06,  133018.14,   11198.93,            11211.20,   -50.11,  47089.11,           46956.75,    -53.94,     15.05,          86.84,  +1.98,  +1.36
  7,     UK0020,       0,  0.282100, 2459522.361657449510, 252.47562,  74.23742,              337.08864,  46.22943,       337.08490,       46.23495,    252.47562,     +74.23742,     252.49925,      +74.23739,  3976390.14,  -737032.14,  5038975.32,      51.435538,       -4.019311,   95969.08,  131974.37,   12829.12,            12841.39,  -369.23,  40479.65,           46510.91,    -13.53,      3.78,          21.96,  +2.83,  +2.23
  0,     UK0024,       1,  0.011846, 2459522.361654307693, 270.09621,  60.58264,              315.12724,  46.64166,       315.07285,       46.69242,    270.09621,     +60.58264,     270.22199,      +60.57021,  3978448.70,  -730649.52,  5048711.97,      51.483227,       -3.923970,  104125.05,  141977.37,       0.00,             1018.63,   889.33,      0.00,           41898.64,   -141.21,     66.61,         226.82,  +6.76,  +6.00
  1,     UK0024,       0,  0.052078, 2459522.361654773355, 270.08968,  60.25292,              314.69510,  46.49861,       314.69371,       46.49989,    270.08968,     +60.25292,     270.09305,      +60.25261,  3978294.44,  -731127.79,  5047982.37,      51.479660,       -3.931196,  103513.52,  141584.61,     885.92,             1904.55,  -172.14,  22020.24,           41898.64,     -3.57,      1.69,           5.76,  +3.41,  +2.65
  2,     UK0024,       0,  0.092650, 2459522.361655242741, 269.83925,  59.53328,              313.83591,  46.07302,       313.84868,       46.06134,    269.83925,     +59.53328,     269.81126,      +59.53609,  3977947.31,  -732204.10,  5046340.47,      51.471630,       -3.947249,  102137.56,  140710.08,    2879.60,             3898.23,  -142.29,  49139.44,           41898.64,     32.53,    -15.40,          52.76,  +3.91,  +3.17
  3,     UK0024,       0,  0.133266, 2459522.361655713059, 269.55655,  58.76517,              312.94318,  45.59956,       312.95913,       45.58520,    269.55655,     +58.76517,     269.52265,      +58.76858,  3977580.33,  -733341.94,  5044604.70,      51.463134,       -3.964212,  100683.27,  139810.39,    4987.26,             6005.89,    -0.61,  51892.33,           41898.64,     40.11,    -19.00,          65.47,  +3.93,  +3.20
  4,     UK0024,       0,  0.173914, 2459522.361656183377, 269.19790,  57.98311,              312.07977,  45.07170,       312.06057,       45.08875,    269.19790,     +57.98311,     269.23903,      +57.97912,  3977207.91,  -734496.62,  5042843.25,      51.454506,       -3.981425,   99207.81,  138924.22,    7126.12,             8144.75,   170.73,  52618.99,           45293.31,    -47.76,     22.58,          78.44,  +2.55,  +1.84
  5,     UK0024,       0,  0.214438, 2459522.361656652298, 269.03137,  57.31375,              311.30769,  44.67595,       311.31830,       44.66663,    269.03137,     +57.31375,     269.01041,      +57.31591,  3976899.17,  -735453.88,  5041382.95,      51.447349,       -3.995725,   97984.87,  138211.57,    8899.29,             9917.92,   -17.62,  43756.07,           46040.21,     26.15,    -12.38,          43.18,  +2.45,  +1.75
  6,     UK0024,       0,  0.255086, 2459522.361657122616, 268.70734,  56.53496,              310.47503,  44.14304,       310.45412,       44.16116,    268.70734,     +56.53496,     268.75039,      +56.53082,  3976537.63,  -736574.87,  5039672.89,      51.438962,       -4.012443,   96553.07,  137400.54,   10975.74,            11994.37,    91.31,  51083.69,           46848.62,    -51.00,     24.11,          84.68,  +2.27,  +1.58
  7,     UK0024,       0,  0.295466, 2459522.361657590140, 268.55071,  56.06202,              309.96416,  43.83301,       309.94047,       43.85339,    268.55071,     +56.06202,     268.59884,      +56.05740,  3976322.49,  -737241.91,  5038655.32,      51.433968,       -4.022459,   95701.20,  136933.30,   12211.33,            13229.96,  -627.65,  30599.07,           45837.12,    -57.46,     27.16,          95.73,  +5.13,  +4.45

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.