Orbital Analysis for matched events on 20211015_181138.435_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 72.44° Bg 59.34° Vg 39.21km/s
mass 0.01709g, abs. mag 1.1
best visual mag 1.2
Path Details
------------
start -1.06° 53.16° 101.50km
end   -1.09° 53.09° 91.37km

Orbit Details
-------------
Semimajor axis 3.50A.U., eccentricity 0.75, inclination 66.71°, Period 6.55Y, LA Sun 202.31°, last Perihelion 2015-05-01

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: 2459503.258083746303
Time: 2021-10-15 18:11:38.435681 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003U
 Convergence angle = 57.56792 deg
 R.A. =  30.37989  Dec = +79.22350 deg

Best intersection: Stations UK002Z and UK003U with Qconv = 57.57 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1727741.82 +/- 14.55 m
 Y =  -3489053.26 +/- 11.84 m
 Z =   5162489.43 +/- 22.32 m
 Vx =     6294.57 +/- 75.28 m/s
 Vy =     3723.30 +/- 56.92 m/s
 Vz =    40091.78 +/- 28.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.427539e+02, -2.819624e+01, +2.122039e+02, +1.002490e+03, -2.927583e+02, -5.548918e+01
-2.819624e+01, +1.614282e+02, -9.187612e+01, -6.554439e+01, +5.271256e+02, -2.583908e+02
+2.122039e+02, -9.187612e+01, +5.176524e+02, +6.756490e+02, -5.093778e+02, +1.250748e+02
+1.002490e+03, -6.554439e+01, +6.756490e+02, +6.150704e+03, -2.220652e+03, -2.205891e+02
-2.927583e+02, +5.271256e+02, -5.093778e+02, -2.220652e+03, +3.184973e+03, -1.059895e+03
-5.548918e+01, -2.583908e+02, +1.250748e+02, -2.205891e+02, -1.059895e+03, +5.605485e+02

Timing offsets (from input data):
    UK002Z: -0.000267 s
    UK003U: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 18:11:38.435681 UTC
  Lon     = +-1.058705 +/- 0.0002 deg
  Lat     = +53.159382 +/- 0.0001 deg
  Lat geo = +52.977440 +/- 0.0001 deg
  Ht      =  101526.24 +/- 23.35 m

  JD dynamic   = 2459503.258884487208 
  LST apparent = 296.3441206147 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  30.60477 +/- 0.5576 deg
  Dec       = +79.66209 +/- 0.0797 deg
  Azimuth   =  16.59405 +/- 0.1498 deg
  Elevation = +51.19844 +/- 0.0884 deg
  Vavg      =  40.48125 +/- 0.0617 km/s
  Vinit     =  40.75335 +/- 0.0189 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  30.44568 +/- 0.5576 deg
  Dec       = +79.27096 +/- 0.0797 deg
  Azimuth   =  17.20256 +/- 0.1498 deg
  Elevation = +51.10813 +/- 0.0884 deg
  Vavg      =  40.53302 +/- 0.0617 km/s
  Vinit     =  40.80511 +/- 0.0189 km/s
Radiant (geocentric, J2000):
  R.A.   =  34.02358 +/- 0.5661 deg
  Dec    = +79.30311 +/- 0.0781 deg
  Vg     =  39.21159 +/- 0.0197 km/s
  Vinf   =  40.75335 +/- 0.0189 km/s
  Zc     =  38.97596 +/- 0.0885 deg
  Zg     =  39.75780 +/- 0.0911 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  72.43976 +/- 0.2204 deg
  Bg     = +59.34360 +/- 0.0689 deg
  Vh     =  39.06445 +/- 0.0619 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 334.84342 +/- 0.0881 deg
  Bh     = +59.71284 +/- 0.0896 deg
  Vh_x   = -17.83284 +/- 0.0719 km/s
  Vh_y   =   8.37499 +/- 0.0412 km/s
  Vh_z   = -33.73249 +/- 0.0406 km/s
Orbit:
  La Sun = 202.313004 +/- -0.0000 deg
  a      =   3.499438 +/- 0.0709 AU
  e      =   0.753759 +/- 0.0047
  i      =  66.713046 +/- 0.0693 deg
  peri   = 226.825955 +/- 0.2083 deg
  node   = 202.312892 +/- 0.0000 deg
  Pi     =  69.138847 +/- 0.2083 deg
  q      =   0.861705 +/- 0.0010 AU
  f      = 313.172663 +/- 0.2083 deg
  M      = 355.222686 +/- 0.1528 deg
  Q      =   6.137172 +/- 0.1416 AU
  n      =   0.150559 +/- 0.0043 deg/day
  T      =   6.546334 +/- 0.2020 years
  Last perihelion JD = 2457143.899386 (2015-05-01 09:35:06.908830) +/- 73.8972 days
  Tj     =   1.913242 +/- 0.0268
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.433963e-05, +8.511044e-07, -3.849836e-01, +8.803889e-09, -6.054981e-04, -3.348076e-04
q   , +8.511044e-07, +1.025474e-06, -1.776998e-02, -4.450440e-10, -2.030523e-04, +1.689009e-05
Tp  , -3.849836e-01, -1.776998e-02, +6.110864e+03, -1.360911e-04, +1.036307e+01, +5.175443e+00
node, +8.803889e-09, -4.450440e-10, -1.360911e-04, +3.769145e-12, -8.143523e-08, -1.433095e-07
peri, -6.054981e-04, -2.030523e-04, +1.036307e+01, -8.143523e-08, +4.828612e-02, +3.103345e-03
i   , -3.348076e-04, +1.689009e-05, +5.175443e+00, -1.433095e-07, +3.103345e-03, +5.448925e-03

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: UK003U
  Avg. res. = 8.545e-06 s
  Stddev    = 2.92e-03 s

Begin point on the trajectory:
  Lon =    -1.058804 +/- 0.0002 deg
  Lat =    53.159181 +/- 0.0000 deg
  Ht  = 101496.71 +/- 23.15 m
End point on the trajectory:
  Lon =    -1.094388 +/- 0.0002 deg
  Lat =    53.090021 +/- 0.0000 deg
  Ht  = 91370.62 +/- 26.77 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   100913.73,    91934.86,          0.008250,     15.41,      7.04,              67.46, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_181131_092_0048128.fits"}
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,   101496.71,    91370.62,          0.008200,     12.89,      7.83,              33.19, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20211015_181130_207_0039424.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,     UK002Z,       0,  0.019619, 2459503.258083974943, 271.01711,  27.77163,              226.92697,  57.92415,       226.95367,       57.91908,    271.01711,     +27.77163,     271.00033,      +27.77417,  1727620.42, -3489125.07,  5161716.22,      53.155207,       -1.060857,  100913.73,  118701.24,       0.00,              785.97,    49.32,      0.00,           39896.23,     12.96,    -28.39,          54.23,  +4.37,  +4.00
  1,     UK002Z,       0,  0.060047, 2459503.258084442932, 270.84403,  26.98166,              226.46021,  57.15935,       226.46220,       57.15897,    270.84403,     +26.98166,     270.84293,      +26.98185,  1727344.33, -3489288.38,  5159957.70,      53.145709,       -1.065734,   99520.81,  118037.98,    1787.54,             2573.51,   189.28,  44215.34,           39896.23,      0.98,     -2.14,           4.12,  +3.07,  +2.71
  2,     UK002Z,       0,  0.100387, 2459503.258084909525, 270.72815,  26.33151,              226.05512,  56.53939,       226.07641,       56.53536,    270.72815,     +26.33151,     270.71483,      +26.33358,  1727120.79, -3489420.61,  5158533.93,      53.138015,       -1.069713,   98393.18,  117519.01,    3234.80,             4020.77,    -7.45,  35876.62,           39896.23,     10.58,    -23.16,          44.68,  +1.82,  +1.47
  3,     UK002Z,       0,  0.140799, 2459503.258085377514, 270.56520,  25.58646,              225.65198,  55.81399,       225.64596,       55.81512,    270.56520,     +25.58646,     270.56961,      +25.58587,  1726865.35, -3489571.70,  5156906.98,      53.129220,       -1.074237,   97104.76,  116944.52,    4888.60,             5674.56,    -0.58,  40923.35,           39896.23,     -3.03,      6.63,          12.85,  +1.34,  +1.00
  4,     UK002Z,       0,  0.181187, 2459503.258085845038, 270.43981,  24.84620,              225.21772,  55.10670,       225.23681,       55.10310,    270.43981,     +24.84620,     270.42799,      +24.84808,  1726615.75, -3489719.34,  5155317.20,      53.120623,       -1.078662,   95845.93,  116403.26,    6504.61,             7290.58,   -30.51,  40012.23,           39888.27,      9.71,    -21.24,          41.38,  +1.49,  +1.16
  5,     UK002Z,       0,  0.221615, 2459503.258086313028, 270.27828,  24.07535,              224.82700,  54.35509,       224.82323,       54.35580,    270.27828,     +24.07535,     270.28162,      +24.07497,  1726356.66, -3489872.60,  5153666.94,      53.111695,       -1.083248,   94539.36,  115862.46,    8182.10,             8968.07,    -0.59,  41493.30,           40115.52,     -1.94,      4.24,           8.30,  +1.61,  +1.29
  6,     UK002Z,       0,  0.262059, 2459503.258086781017, 270.12641,  23.26993,              224.41339,  53.57480,       224.40783,       53.57584,    270.12641,     +23.26993,     270.13115,      +23.26936,  1726089.20, -3490030.80,  5151963.45,      53.102474,       -1.087977,   93190.82,  115327.05,    9913.70,            10699.67,    82.78,  42814.75,           40486.25,     -2.90,      6.34,          12.47,  +1.67,  +1.36
  7,     UK002Z,       0,  0.302471, 2459503.258087248541, 269.99010,  22.51214,              224.03135,  52.84154,       224.03170,       52.84147,    269.99010,     +22.51214,     269.99105,      +22.51217,  1725840.08, -3490178.16,  5150376.74,      53.093883,       -1.092393,   91934.86,  114849.94,   11526.59,            12312.56,    48.75,  39911.28,           40592.70,      0.19,     -0.41,           0.81,  +2.66,  +2.36
  0,     UK003U,       0,  0.000000, 2459503.258083746303, 337.11995,  51.21187,               77.35421,  64.84577,        77.35355,       64.84288,    337.11995,     +51.21187,     337.12434,      +51.21111,  1727735.97, -3489056.72,  5162452.15,      53.159181,       -1.058804,  101496.71,  111674.35,       0.00,               37.90,   100.78,      0.00,           40691.20,      2.94,      4.84,          10.46,  +3.80,  +3.56
  1,     UK003U,       0,  0.040328, 2459503.258084213361, 336.95236,  50.82293,               78.29665,  64.80488,        78.29706,       64.80642,    336.95236,     +50.82293,     336.95007,      +50.82333,  1727517.66, -3489185.85,  5161061.70,      53.151672,       -1.062695,  100395.26,  110494.03,    1413.39,             1451.29,  -129.33,  35047.45,           40691.20,     -1.55,     -2.56,           5.59,  +1.86,  +1.64
  2,     UK003U,       0,  0.080740, 2459503.258084680885, 336.74248,  50.32905,               79.48877,  64.74513,        79.49036,       64.75032,    336.74248,     +50.32905,     336.73481,      +50.33039,  1727247.30, -3489345.78,  5159339.67,      53.142369,       -1.067474,   99031.31,  109041.12,    3163.84,             3201.74,   -25.81,  43315.00,           40691.20,     -5.18,     -8.51,          18.84,  +1.44,  +1.25
  3,     UK003U,       0,  0.121160, 2459503.258085148875, 336.54094,  49.82608,               80.69157,  64.67003,        80.69634,       64.68366,    336.54094,     +49.82608,     336.52070,      +49.82958,  1726979.96, -3489503.91,  5157636.94,      53.133167,       -1.072201,   97682.82,  107613.20,    4894.66,             4932.56,    57.77,  42820.90,           40691.20,    -13.45,    -22.11,          49.60,  +1.41,  +1.25
  4,     UK003U,       0,  0.161572, 2459503.258085616399, 336.32324,  49.33270,               81.87880,  64.60137,        81.88157,       64.60841,    336.32324,     +49.33270,     336.31322,      +49.33449,  1726722.60, -3489656.14,  5155997.74,      53.124304,       -1.076758,   96384.79,  106246.93,    6560.91,             6598.81,    77.09,  41231.61,           41099.81,     -6.88,    -11.33,          25.73,  +1.30,  +1.17
  5,     UK003U,       0,  0.201988, 2459503.258086084388, 336.09192,  48.83410,               83.08138,  64.53189,        83.07727,       64.52246,    336.09192,     +48.83410,     336.10679,      +48.83171,  1726467.99, -3489806.74,  5154376.06,      53.115531,       -1.081268,   95100.78,  104903.79,    8209.35,             8247.25,    78.45,  40786.85,           41171.76,      9.11,     15.01,          34.52,  +1.46,  +1.36
  6,     UK003U,       0,  0.242440, 2459503.258086552378, 335.91008,  48.29514,               84.33024,  64.40833,        84.33619,       64.42065,    335.91008,     +48.29514,     335.89267,      +48.29824,  1726205.00, -3489962.31,  5152700.98,      53.106467,       -1.085921,   93774.66,  103525.90,    9912.07,             9949.97,   132.61,  42092.34,           41296.21,    -11.81,    -19.44,          45.32,  +1.20,  +1.12
  7,     UK003U,       0,  0.282868, 2459503.258087020367, 335.69382,  47.78075,               85.54324,  64.30843,        85.54526,       64.31226,    335.69382,     +47.78075,     335.68925,      +47.78171,  1725956.93, -3490109.04,  5151120.99,      53.097913,       -1.090319,   92523.95,  102234.98,   11518.14,            11556.04,    91.10,  39726.56,           41217.16,     -3.64,     -5.99,          14.14,  +1.46,  +1.41
  8,     UK003U,       0,  0.323276, 2459503.258087487891, 335.48782,  47.29547,               86.68271,  64.20874,        86.67844,       64.20121,    335.48782,     +47.29547,     335.50018,      +47.29360,  1725728.16, -3490244.36,  5149663.86,      53.090021,       -1.094388,   91370.62,  101052.11,   12999.31,            13037.21,   -74.49,  36655.38,           40876.20,      7.09,     11.69,          27.91,  +2.08,  +2.06

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.