Orbital Analysis for matched events on 20211103_044315.497_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 95.98° Bg -10.48° Vg 62.22km/s
mass 0.00227g, abs. mag 1.8
best visual mag 2.6
Path Details
------------
start -2.07° 50.24° 108.76km
end   -2.02° 50.32° 97.18km

Orbit Details
-------------
Semimajor axis 160.06A.U., eccentricity 1.00, inclination 150.81°, Period 2025.06Y, LA Sun 220.68°, last Perihelion 1-01-01

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: 2459521.696707148571
Time: 2021-11-03 04:43:15.497636 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 80.86777 deg
 R.A. =  96.98413  Dec = +13.39946 deg

Best intersection: Stations UK000H and UK002D with Qconv = 80.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1517472.61 +/- 110.88 m
 Y =   3870136.58 +/- 547.59 m
 Z =   4963740.31 +/- 178.06 m
 Vx =    -6884.83 +/- 134.03 m/s
 Vy =    61166.12 +/- 4215.93 m/s
 Vz =    14348.03 +/- 1257.07 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: -0.001312 s

Reference point on the trajectory:
  Time: 2021-11-03 04:43:15.497636 UTC
  Lon     = +-2.071041 +/- 0.0014 deg
  Lat     = +50.240841 +/- 0.0027 deg
  Lat geo = +50.054700 +/- 0.0027 deg
  Ht      =  108928.68 +/- 487.25 m

  JD dynamic   = 2459521.697507889476 
  LST apparent = 111.4100436806 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  96.42216 +/- 0.3144 deg
  Dec       = +13.12149 +/- 0.2724 deg
  Azimuth   = 203.54480 +/- 0.4072 deg
  Elevation = +50.91311 +/- 0.3231 deg
  Vavg      =  61.52075 +/- 1.8103 km/s
  Vinit     =  63.20254 +/- 4.2508 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  96.69507 +/- 0.3144 deg
  Dec       = +13.13750 +/- 0.2724 deg
  Azimuth   = 203.14402 +/- 0.4072 deg
  Elevation = +50.99773 +/- 0.3231 deg
  Vavg      =  61.44508 +/- 1.8103 km/s
  Vinit     =  63.12688 +/- 4.2508 km/s
Radiant (geocentric, J2000):
  R.A.   =  96.02892 +/- 0.3232 deg
  Dec    = +12.82897 +/- 0.3010 deg
  Vg     =  62.22086 +/- 4.3062 km/s
  Vinf   =  63.20254 +/- 4.2508 km/s
  Zc     =  38.91631 +/- 0.3234 deg
  Zg     =  39.23318 +/- 0.3548 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  95.97803 +/- 0.3091 deg
  Bg     = -10.48371 +/- 0.3112 deg
  Vh     =  42.22397 +/- 3.8521 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  70.56433 +/- 2.3742 deg
  Bh     = -15.55278 +/- 0.6942 deg
  Vh_x   = -13.53550 +/- 0.8243 km/s
  Vh_y   = -38.35989 +/- 4.2345 km/s
  Vh_z   =  11.32134 +/- 0.4483 km/s
Orbit:
  La Sun = 220.683326 +/- 0.0000 deg
  a      = 160.063175 +/- 53.4451 AU
  e      =   0.998131 +/- 0.2070
  i      = 150.810071 +/- 2.4139 deg
  peri   = 113.462882 +/- 11.3176 deg
  node   =  40.683692 +/- 0.0002 deg
  Pi     = 154.146574 +/- 11.3178 deg
  q      =   0.299176 +/- 0.0638 AU
  f      = 246.535250 +/- 11.3174 deg
  M      = 359.982317 +/- nan deg
  Q      = 319.827174 +/- 106.8928 AU
  n      =   0.000487 +/- 0.4732 deg/day
  T      = 2025.059449 +/- nan years
  Last perihelion JD = 1721425.500000 (0001-01-01 00:00:00) +/- 0.0000 days
  Tj     =  -0.559243 +/- 2.2819
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 13.967541
 a2 = 13.022107

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 4.663e-06 s
  Stddev    = 2.16e-03 s

Begin point on the trajectory:
  Lon =    -2.070287 +/- 0.0012 deg
  Lat =    50.241951 +/- 0.0025 deg
  Ht  = 108760.05 +/- 453.71 m
End point on the trajectory:
  Lon =    -2.019265 +/- 0.0012 deg
  Lat =    50.318374 +/- 0.0026 deg
  Ht  = 97175.71 +/- 480.31 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,  13.536668,  12.501343,   108760.05,    97175.71,          0.010269,      0.96,     22.53,               6.28, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20211103_044314_786_1033216.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.303403,  35.990547,   107084.99,    99529.58,          0.021734,     59.82,      6.28,              13.92, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20211103_044309_457_1025536.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,     UK000H,       0,  0.000000, 2459521.696707148571, 101.88965,  17.87778,              196.91026,  56.10629,       196.93298,       56.11603,    101.88965,     +17.87778,     101.87857,      +17.88979, -1517448.94,  3869926.32,  4963690.98,      50.241951,       -2.070287,  108760.05,  130489.93,       0.00,              217.26,    -0.44,      0.00,           63910.97,    -36.37,     -1.58,          57.55,  +4.32,  +3.74
  1,     UK000H,       0,  0.039880, 2459521.696707610041, 101.97390,  17.99131,              196.80821,  56.23312,       196.78995,       56.22536,    101.97390,     +17.99131,     101.98298,      +17.98174, -1517174.38,  3867487.11,  4963118.81,      50.254832,       -2.061698,  106803.98,  127991.07,    2520.42,             2737.68,    -0.53,  63200.11,           63910.97,     28.51,      1.21,          45.99,  +3.54,  +3.00
  2,     UK000H,       0,  0.079784, 2459521.696708071977, 102.08706,  18.06587,              196.64362,  56.32687,       196.65203,       56.33046,    102.08706,     +18.06587,     102.08330,      +18.07029, -1516919.56,  3865223.23,  4962587.76,      50.266793,       -2.053730,  104988.83,  125672.62,    4859.68,             5076.94,  -183.31,  58622.10,           63910.97,    -12.91,     -0.55,          21.20,  +2.65,  +2.15
  3,     UK000H,       0,  0.119644, 2459521.696708533447, 102.20652,  18.18872,              196.48421,  56.46899,       196.47320,       56.46430,    102.20652,     +18.18872,     102.21238,      +18.18297, -1516608.31,  3862457.99,  4961939.10,      50.281412,       -2.043949,  102772.15,  122841.22,    7716.98,             7934.24,   154.74,  71683.52,           63910.97,     16.46,      0.70,          27.66,  +2.59,  +2.14
  4,     UK000H,       0,  0.159528, 2459521.696708994918, 102.31254,  18.28950,              196.33921,  56.58689,       196.32031,       56.57884,    102.31254,     +18.28950,     102.32239,      +18.27965, -1516351.89,  3860179.92,  4961404.73,      50.293462,       -2.035910,  100946.36,  120509.77,   10070.89,            10288.15,   -12.12,  59018.83,           63533.03,     27.65,      1.16,          47.37,  +2.59,  +2.18
  5,     UK000H,       0,  0.199424, 2459521.696709456854, 102.42441,  18.37087,              196.17703,  56.68661,       196.17648,       56.68637,    102.42441,     +18.37087,     102.42551,      +18.37058, -1516119.23,  3858112.98,  4960919.87,      50.304400,       -2.028624,   99290.05,  118395.20,   12206.64,            12423.90,  -397.90,  53533.08,           61995.95,      0.79,      0.03,           1.39,  +2.75,  +2.38
  6,     UK000H,       0,  0.239284, 2459521.696709917858, 102.56856,  18.48607,              195.97056,  56.82503,       195.98097,       56.82950,    102.56856,     +18.48607,     102.56451,      +18.49151, -1515822.18,  3855473.94,  4960300.82,      50.318374,       -2.019265,   97175.71,  115695.84,   14933.55,            15150.81,  -190.24,  68412.17,           62134.10,    -14.61,     -0.62,          26.07,  +4.04,  +3.72
  0,     UK002D,       0,  0.033632, 2459521.696707556956, 105.06943,   1.74088,              188.64781,  40.07754,       188.65839,       40.07027,    105.06943,      +1.74088,     105.06083,       +1.73440, -1517213.83,  3867837.57,  4963201.01,      50.252981,       -2.062938,  107084.99,  164257.93,       0.00,             2375.56,    32.26,      0.00,           63140.86,     -3.18,     31.03,          39.17,  +4.16,  +3.08
  1,     UK002D,       0,  0.073780, 2459521.696708021685, 105.20659,   1.57390,              188.44936,  39.92401,       188.47390,       39.90716,    105.20659,      +1.57390,     105.18660,       +1.55885, -1516940.74,  3865411.39,  4962631.89,      50.265799,       -2.054388,  105139.69,  161830.49,    2506.95,             4882.51,     1.76,  62442.79,           63140.86,     -7.22,     70.99,          90.95,  +2.97,  +1.92
  2,     UK002D,       0,  0.113940, 2459521.696708486415, 105.31131,   1.38978,              188.29179,  39.75018,       188.29520,       39.74785,    105.31131,      +1.38978,     105.30897,       +1.38770, -1516682.18,  3863114.27,  4962093.05,      50.277941,       -2.046294,  103298.20,  159534.42,    4880.55,             7256.11,  -162.86,  59103.47,           63140.86,     -1.00,      9.71,          12.62,  +2.57,  +1.56
  3,     UK002D,       0,  0.154140, 2459521.696708951611, 105.42523,   1.15735,              188.11757,  39.52883,       188.07917,       39.55488,    105.42523,      +1.15735,     105.45767,       +1.18069, -1516379.08,  3860421.52,  4961461.40,      50.292184,       -2.036765,  101139.98,  156845.50,    7662.95,            10038.51,    78.80,  69214.08,           63140.86,     11.44,   -107.35,         141.97,  +3.57,  +2.59
  4,     UK002D,       0,  0.194264, 2459521.696709416341, 105.56514,   1.01786,              187.92131,  39.40206,       187.91534,       39.40612,    105.56514,      +1.01786,     105.57091,       +1.02151, -1516152.88,  3858411.91,  4960989.99,      50.302818,       -2.029688,   99529.58,  154841.13,    9739.47,            12115.03,  -380.62,  51752.37,           61338.84,      1.73,    -16.53,          22.14,  +3.82,  +2.87
  5,     UK002D,       1,  0.234392, 2459521.696709880605, 105.60573,   0.86698,              187.85232,  39.25521,       187.79442,       39.29427,    105.60573,      +0.86698,     105.65471,       +0.90209, -1515986.94,  3856937.64,  4960644.17,      50.310623,       -2.024537,   98348.30,  153372.18,   11262.82,            13638.38, -1393.46,  37962.33,           57487.32,     17.14,   -158.22,         214.03,  +6.95,  +6.02

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.