Orbital Analysis for matched events on 20211103_014202.380_UK

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Summary for Event
-----------------
shower ID 22 LMI
Lg 162.37° Bg 27.45° Vg 58.44km/s
mass 0.01154g, abs. mag 1.2
best visual mag 1.7
Path Details
------------
start -3.61° 50.80° 102.21km
end   -3.76° 50.73° 99.19km

Orbit Details
-------------
Semimajor axis 6.26A.U., eccentricity 0.91, inclination 117.53°, Period 15.66Y, LA Sun 220.56°, last Perihelion 2021-09-23

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: 2459521.570860884618
Time: 2021-11-03 01:42:02.380431 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003C
 Convergence angle = 14.54104 deg
 R.A. = 174.82236  Dec = +33.12752 deg

Best intersection: Stations UK0024 and UK003C with Qconv = 14.54 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1770318.19 +/- 99.01 m
 Y =   3702259.91 +/- 84.08 m
 Z =   4998915.18 +/- 97.98 m
 Vx =   -50003.97 +/- 531.04 m/s
 Vy =     3997.45 +/- 913.87 m/s
 Vz =    31972.95 +/- 1768.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.185879e+04, +9.488938e+03, +1.179120e+04, -5.222697e+04, +8.316605e+04, +1.668631e+05
+9.488938e+03, +8.908469e+03, +1.049911e+04, -4.662619e+04, +7.487326e+04, +1.419266e+05
+1.179120e+04, +1.049911e+04, +1.314366e+04, -5.351306e+04, +8.235931e+04, +1.611029e+05
-5.222697e+04, -4.662619e+04, -5.351306e+04, +5.823187e+05, -5.908878e+05, -1.252592e+06
+8.316605e+04, +7.487326e+04, +8.235931e+04, -5.908878e+05, +8.749442e+05, +1.689879e+06
+1.668631e+05, +1.419266e+05, +1.611029e+05, -1.252592e+06, +1.689879e+06, +3.401951e+06

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0024: 0.000000 s
    UK003C: -0.009482 s

Reference point on the trajectory:
  Time: 2021-11-03 01:42:02.380431 UTC
  Lon     = +-3.608228 +/- 0.0008 deg
  Lat     = +50.802108 +/- 0.0003 deg
  Lat geo = +50.616473 +/- 0.0003 deg
  Ht      =  102215.89 +/- 147.62 m

  JD dynamic   = 2459521.571661625523 
  LST apparent = 64.4441642485 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 175.42934 +/- 0.9612 deg
  Dec       = +32.51241 +/- 1.1358 deg
  Azimuth   =  53.91957 +/- 0.1400 deg
  Elevation = +13.04215 +/- 1.3955 deg
  Vavg      =  55.41576 +/- 0.7955 km/s
  Vinit     =  59.48653 +/- 1.4096 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 175.30761 +/- 0.9612 deg
  Dec       = +32.36828 +/- 1.1358 deg
  Azimuth   =  54.09308 +/- 0.1400 deg
  Elevation = +12.98973 +/- 1.3955 deg
  Vavg      =  55.65166 +/- 0.7955 km/s
  Vinit     =  59.72242 +/- 1.4096 km/s
Radiant (geocentric, J2000):
  R.A.   = 175.72295 +/- 0.9907 deg
  Dec    = +31.99010 +/- 1.1894 deg
  Vg     =  58.44133 +/- 1.4360 km/s
  Vinf   =  59.48653 +/- 1.4096 km/s
  Zc     =  77.06722 +/- 1.3954 deg
  Zg     =  77.87604 +/- 1.4569 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 162.37192 +/- 1.4389 deg
  Bg     = +27.44543 +/- 0.6982 deg
  Vh     =  40.57817 +/- 0.9577 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 192.99829 +/- 2.9597 deg
  Bh     = +41.59066 +/- 1.2910 deg
  Vh_x   =  29.57104 +/- 0.6829 km/s
  Vh_y   =   6.82608 +/- 1.4780 km/s
  Vh_z   = -26.93596 +/- 1.2320 km/s
Orbit:
  La Sun = 220.557268 +/- 0.0000 deg
  a      =   6.259169 +/- 3.1041 AU
  e      =   0.914567 +/- 0.0315
  i      = 117.533333 +/- 1.6531 deg
  peri   =  92.000495 +/- 7.3810 deg
  node   = 220.558844 +/- 0.0000 deg
  Pi     = 312.559340 +/- 7.3811 deg
  q      =   0.534740 +/- 0.0517 AU
  f      =  88.000480 +/- 7.3810 deg
  M      =   2.534809 +/- 2.5580 deg
  Q      =  11.983599 +/- 6.1654 AU
  n      =   0.062940 +/- 0.0599 deg/day
  T      =  15.659421 +/- 13.4496 years
  Last perihelion JD = 2459481.298459 (2021-09-23 19:09:46.889984) +/- 0.9780 days
  Tj     =   0.421403 +/- 0.4894
Shower association:
  IAU No.  =   22
  IAU code =  LMI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.401587e-03, +1.938647e-03, +4.355395e-02, +1.202068e-06, +2.881912e-01, +6.409509e-02
q   , +1.938647e-03, +3.258220e-03, +5.893345e-02, +1.952717e-06, +4.714409e-01, +1.044756e-01
Tp  , +4.355395e-02, +5.893345e-02, +1.361279e+00, +3.671997e-05, +8.785707e+00, +1.956365e+00
node, +1.202068e-06, +1.952717e-06, +3.671997e-05, +1.207581e-09, +2.839585e-04, +6.461101e-05
peri, +2.881912e-01, +4.714409e-01, +8.785707e+00, +2.839585e-04, +6.848336e+01, +1.518886e+01
i   , +6.409509e-02, +1.044756e-01, +1.956365e+00, +6.461101e-05, +1.518886e+01, +3.457539e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.514293
 a2 = 30.961959

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 4.932e-05 s
  Stddev    = 7.02e-03 s

Begin point on the trajectory:
  Lon =    -3.608559 +/- 0.0008 deg
  Lat =    50.801955 +/- 0.0003 deg
  Ht  = 102209.10 +/- 146.56 m
End point on the trajectory:
  Lon =    -3.757304 +/- 0.0031 deg
  Lat =    50.733573 +/- 0.0015 deg
  Ht  = 99187.32 +/- 274.11 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
    UK000T,    True,    -3.557111,    51.483925,   37.50, 23600.236256,   0.208072,   100790.74,    99313.98,          0.493193,       nan,       nan,             101.54, 0.0000,    True,    True, {"ff_name": "FF_UK000T_20211103_014159_651_0738816.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   102209.10,    99586.11,          0.019687,     36.86,     12.86,             100.72, 1.0000,   False,    True, {"ff_name": "FF_UK0024_20211103_014155_057_0754176.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   1.587442,  26.435773,   102057.00,    99187.32,          0.023258,     49.89,     33.27,              30.21, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211103_014200_909_0740864.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,     UK000T,       1,  0.555123, 2459521.570867309812,  60.20024,  12.97730,              186.70837,  51.33681,       186.22959,       51.00908,     60.20024,     +12.97730,      60.48541,      +12.62882,  1775631.68,  3701835.13,  4995517.69,      50.769995,       -3.680001,  100790.74,  128975.19,       0.00,             6321.11, -26480.59,      0.00,           53905.03,    839.21,    544.57,        1599.93,  +1.73,  +1.18
  1,     UK000T,       1,  0.596015, 2459521.570867782924,  59.42540,  12.43052,              187.83616,  50.73073,       187.31566,       50.38054,     59.42540,     +12.43052,      59.73497,      +12.05379,  1777442.01,  3701690.41,  4994360.15,      50.759041,       -3.703821,  100306.80,  129487.25,    2153.64,             8474.76, -26759.47,  52666.66,           53905.03,    912.67,    593.21,        1733.94,  +2.44,  +1.88
  2,     UK000T,       1,  0.636975, 2459521.570868256968,  58.61538,  11.83459,              188.98600,  50.06359,       188.43857,       49.70143,     58.61538,     +11.83459,      58.94089,      +11.44014,  1779383.44,  3701535.21,  4993118.78,      50.747286,       -3.729345,   99788.57,  130074.06,    4463.24,            10784.35, -26886.45,  56386.50,           53905.03,    961.98,    625.96,        1819.99,  +2.92,  +2.35
  3,     UK000T,       1,  0.677843, 2459521.570868730079,  57.87570,  11.29822,              190.01446,  49.45415,       189.43278,       49.07495,     57.87570,     +11.29822,      58.22169,      +10.88052,  1781163.87,  3701392.88,  4991980.36,      50.736500,       -3.752758,   99313.98,  130646.15,    6581.30,            12902.41, -27199.48,  51826.90,           53905.03,   1025.01,    667.91,        1931.54,  +4.68,  +4.10
  0,     UK0024,       0,  0.000000, 2459521.570860884618,  31.39796,  40.96686,              260.03165,  64.82208,       259.99790,       64.82885,     31.39796,     +40.96686,      31.41613,      +40.95889,  1770343.49,  3702257.89,  4998899.00,      50.801955,       -3.608559,  102209.10,  112649.07,       0.00,               30.10,   250.76,      0.00,           62000.11,     10.29,     29.46,          57.13,  +4.54,  +4.28
  1,     UK0024,       0,  0.040556, 2459521.570861354005,  30.88238,  40.24212,              259.18051,  64.08468,       259.20215,       64.08037,     30.88238,     +40.24212,      30.87074,      +40.24729,  1771718.57,  3702147.96,  4998019.76,      50.793650,       -3.626708,  101840.10,  112932.29,    1635.84,             1665.94,  -525.94,  40335.39,           62000.11,     -6.76,    -19.34,          37.42,  +6.15,  +5.89
  2,     UK0024,       0,  0.081724, 2459521.570861830376,  29.77219,  38.83501,              257.80646,  62.55740,       257.72651,       62.57321,     29.77219,     +38.83501,      29.81749,      +38.81551,  1774497.53,  3701925.80,  4996242.87,      50.776854,       -3.663204,  101095.57,  113569.89,    4941.79,             4971.89,   331.07,  80303.92,           62000.11,     26.16,     75.03,         144.31,  +4.89,  +4.61
  3,     UK0024,       0,  0.122532, 2459521.570862303022,  29.08851,  37.77801,              256.74834,  61.48099,       256.75611,       61.47946,     29.08851,     +37.77801,      29.08458,      +37.77994,  1776516.02,  3701764.44,  4994952.24,      50.764644,       -3.689747,  100555.77,  114092.66,    7343.06,             7373.15,   304.81,  58842.95,           62000.11,     -2.63,     -7.54,          14.43,  +2.88,  +2.59
  4,     UK0024,       0,  0.163240, 2459521.570862773806,  28.49465,  36.88972,              255.95485,  60.55135,       255.98511,       60.54545,     28.49465,     +36.88972,      28.47770,      +36.89731,  1778244.28,  3701626.27,  4993847.17,      50.754184,       -3.712490,  100094.23,  114579.48,    9399.07,             9429.16,   -60.76,  50506.26,           60006.73,    -10.57,    -30.22,          57.63,  +2.36,  +2.06
  5,     UK0024,       0,  0.204024, 2459521.570863245986,  27.84056,  35.92567,              255.17498,  59.52430,       255.19208,       59.52098,     27.84056,     +35.92567,      27.83128,      +35.93002,  1780149.59,  3701473.96,  4992628.90,      50.742646,       -3.737538,   99586.11,  115156.13,   11665.69,            11695.79,  -220.23,  55576.30,           58804.11,     -6.16,    -17.62,          33.43,  +2.81,  +2.50
  0,     UK003C,       0,  0.010112, 2459521.570861104876, 144.68878,  51.07341,               55.50824,  41.05038,        55.48609,       41.05192,    144.68878,     +51.07341,     144.70126,      +51.08826,  1770910.12,  3702212.59,  4998536.69,      50.798533,       -3.616048,  102057.00,  153736.40,       0.00,              704.18,   323.34,      0.00,           60435.49,    -24.97,    -37.43,          60.37,  +3.47,  +2.54
  1,     UK003C,       0,  0.049824, 2459521.570861564949, 144.14786,  51.23718,               55.56915,  41.42432,        55.52815,       41.42717,    144.14786,     +51.23718,     144.17069,      +51.26463,  1772624.38,  3702075.54,  4997440.58,      50.788177,       -3.638626,  101597.25,  151950.86,    2039.35,             2743.53,     0.36,  51353.42,           60435.49,    -45.46,    -68.09,         111.13,  +2.81,  +1.90
  2,     UK003C,       0,  0.089536, 2459521.570862024557, 143.63134,  51.41433,               55.60014,  41.79178,        55.56957,       41.79390,    143.63134,     +51.41433,     143.64834,      +51.43476,  1774261.26,  3701944.69,  4996393.95,      50.778282,       -3.660187,  101158.80,  150251.86,    3986.63,             4690.82,  -414.68,  49035.25,           60435.49,    -33.32,    -49.95,          82.42,  +4.90,  +4.02
  3,     UK003C,       0,  0.129028, 2459521.570862481371, 142.70513,  51.72012,               55.65932,  42.44218,        55.64678,       42.44305,    142.70513,     +51.72012,     142.71232,      +51.72846,  1777079.37,  3701719.40,  4994592.02,      50.761235,       -3.697170,  100405.26,  147347.02,    7339.16,             8043.34,   588.60,  84891.30,           60435.49,    -13.25,    -19.89,          33.45,  +4.32,  +3.48
  4,     UK003C,       0,  0.168740, 2459521.570862940978, 142.21092,  51.90656,               55.65851,  42.80011,        55.68787,       42.79812,    142.21092,     +51.90656,     142.19639,      +51.88708,  1778570.06,  3701600.23,  4993638.87,      50.752212,       -3.716805,  100007.30,  145814.97,    9112.53,             9816.72,    -0.36,  44655.80,           59331.64,     30.49,     45.87,          77.90,  +1.92,  +1.10
  5,     UK003C,       0,  0.208488, 2459521.570863401052, 141.66866,  52.01628,               55.76457,  43.14313,        55.72839,       43.14563,    141.66866,     +52.01628,     141.68801,      +52.04024,  1779998.94,  3701486.00,  4992725.23,      50.743558,       -3.735628,   99626.25,  144351.52,   10812.38,            11516.56,  -664.98,  42765.61,           56643.26,    -37.06,    -55.58,          95.45,  +2.12,  +1.32
  6,     UK003C,       0,  0.248172, 2459521.570863860659, 141.06447,  52.19218,               55.81542,  43.55215,        55.77729,       43.55478,    141.06447,     +52.19218,     141.08459,      +52.21737,  1781646.81,  3701354.27,  4991671.56,      50.733573,       -3.757304,   99187.32,  142671.66,   12772.75,            13476.94, -1065.27,  49399.56,           54907.51,    -38.34,    -57.51,          99.93,  +4.00,  +3.23

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.