Orbital Analysis for matched events on 20210904_225725.172_UK

Summary for Event
-----------------
shower ID 208 SPE
Lg 47.61° Bg 24.12° Vg 63.58km/s
mass 0.02026g, abs. mag -0.5
Path Details
------------
start 2.13° 51.68° 101.84km
end   1.98° 51.66° 91.22km

Orbit Details
-------------
Semimajor axis -14.36A.U., eccentricity 1.05, inclination 131.72°, Period 1000000000.00Y, LA Sun 162.32°, 

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: 2459462.456541352905
Time: 2021-09-04 22:57:25.174098 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002C
 Convergence angle = 13.98010 deg
 R.A. =  37.63912  Dec = +39.72924 deg

Best intersection: Stations UK000C and UK002C with Qconv = 13.98 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3513152.96 +/- 703.65 m
 Y =  -1966590.18 +/- 849.90 m
 Z =   5060881.54 +/- 565.47 m
 Vx =    39548.01 +/- 4577.87 m/s
 Vy =    29265.79 +/- 4789.45 m/s
 Vz =    41777.94 +/- 5707.20 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.823212e+04, +2.286563e+04, +1.184130e+04, -2.266190e+04, -8.473953e+04, -4.820496e+04
+2.286563e+04, +2.867670e+04, +1.485065e+04, -2.842120e+04, -1.062752e+05, -6.045577e+04
+1.184130e+04, +1.485065e+04, +7.690625e+03, -1.471833e+04, -5.503618e+04, -3.130790e+04
-2.266190e+04, -2.842120e+04, -1.471833e+04, +2.816797e+04, +1.053283e+05, +5.991712e+04
-8.473953e+04, -1.062752e+05, -5.503618e+04, +1.053283e+05, +3.938537e+05, +2.240478e+05
-4.820496e+04, -6.045577e+04, -3.130790e+04, +5.991712e+04, +2.240478e+05, +1.274519e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002C: 0.001990 s

Reference point on the trajectory:
  Time: 2021-09-04 22:57:25.174098 UTC
  Lon     = ++2.128812 +/- 0.0154 deg
  Lat     = +51.680780 +/- 0.0018 deg
  Lat geo = +51.496375 +/- 0.0018 deg
  Ht      =  101951.86 +/- 566.80 m

  JD dynamic   = 2459462.457342107780 
  LST apparent = 330.7608024626 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  36.50169 +/- 1.4996 deg
  Dec       = +40.33672 +/- 1.2785 deg
  Azimuth   =  77.37735 +/- 0.4870 deg
  Elevation = +44.58934 +/- 1.6837 deg
  Vavg      =  62.38693 +/- 6.2970 km/s
  Vinit     =  64.54400 +/- 7.0871 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  36.64141 +/- 1.4996 deg
  Dec       = +40.18332 +/- 1.2785 deg
  Azimuth   =  77.45683 +/- 0.4870 deg
  Elevation = +44.41134 +/- 1.6837 deg
  Vavg      =  62.59131 +/- 6.2970 km/s
  Vinit     =  64.74837 +/- 7.0871 km/s
Radiant (geocentric, J2000):
  R.A.   =  36.53861 +/- 1.4409 deg
  Dec    = +40.02143 +/- 1.2513 deg
  Vg     =  63.58191 +/- 7.1730 km/s
  Vinf   =  64.54400 +/- 7.0871 km/s
  Zc     =  45.45124 +/- 1.6825 deg
  Zg     =  45.81163 +/- 1.6334 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  47.61144 +/- 0.7192 deg
  Bg     = +24.12121 +/- 1.5447 deg
  Vh     =  42.67706 +/- 6.1930 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  25.51039 +/- 4.3164 deg
  Bh     = +37.50922 +/- 3.4553 deg
  Vh_x   = -30.55330 +/- 4.2652 km/s
  Vh_y   = -14.57998 +/- 6.0530 km/s
  Vh_z   = -25.98560 +/- 0.9591 km/s
Orbit:
  La Sun = 162.324675 +/- -0.0000 deg
  a      = -14.357682 +/- 3.1520 AU
  e      =   1.047258 +/- 0.5717
  i      = 131.720671 +/- 5.6199 deg
  peri   = 248.863000 +/- 11.3826 deg
  node   = 162.322879 +/- 0.0006 deg
  Pi     =  51.185879 +/- 11.3831 deg
  q      =   0.678518 +/- 0.0584 AU
  f      = 291.133585 +/- 11.3821 deg
  M      =        nan +/- nan deg
  Q      = -29.393882 +/- 6.2924 AU
  n      =   0.018117 +/- 0.9702 deg/day
  T      = 1000000000.000000 +/- 253395489.4220 years
  Last perihelion JD = NaN 
  Tj     =  -1.050119 +/- 3.8535
Shower association:
  IAU No.  =  208
  IAU code =  SPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.971105e-04, +2.100568e-04, -3.346170e+00, -1.702585e-08, -6.036038e-04, +2.514235e-04
q   , +2.100568e-04, +2.238534e-04, -3.565948e+00, -1.814412e-08, -6.432488e-04, +2.679371e-04
Tp  , -3.346170e+00, -3.565948e+00, +5.680496e+04, +2.890328e-04, +1.024685e+01, -4.268193e+00
node, -1.702585e-08, -1.814412e-08, +2.890328e-04, +1.470646e-12, +5.213761e-08, -2.171726e-08
peri, -6.036038e-04, -6.432488e-04, +1.024685e+01, +5.213761e-08, +1.848393e-03, -7.699244e-04
i   , +2.514235e-04, +2.679371e-04, -4.268193e+00, -2.171726e-08, -7.699244e-04, +3.207022e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000008
 a2 = 71.758457

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 4.034e-06 s
  Stddev    = 2.01e-03 s

Begin point on the trajectory:
  Lon =     2.127209 +/- 0.0111 deg
  Lat =    51.680557 +/- 0.0012 deg
  Ht  = 101838.12 +/- 298.76 m
End point on the trajectory:
  Lon =     1.976369 +/- 0.0110 deg
  Lat =    51.659592 +/- 0.0012 deg
  Ht  = 91223.87 +/- 371.56 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   100031.54,    91298.21,          0.011371,     25.13,     35.26,              14.77, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210904_225726_048_0329216.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,  83.616092,   101838.12,    91223.87,          0.015930,     53.27,     61.13,              21.34, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_225722_826_0325888.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,     UK000C,       1,  0.000000, 2459462.456541555468,  51.71086,  28.35055,               75.69581,  25.45616,        75.70689,       25.45639,     51.71086,     +28.35055,      51.70251,      +28.34382,  3513092.88, -1966634.65,  5060818.06,      51.680645,       +2.127774,  101883.01,  229220.56,       0.00,               98.06,   220.59,      0.00,           62013.87,    -32.61,    -23.25,          36.04,  +5.47,  +3.67
  1,     UK000C,       0,  0.040160, 2459462.456542020198,  51.84853,  28.19452,               75.71739,  25.25953,        75.71138,       25.25940,     51.84853,     +28.19452,      51.85333,      +28.19816,  3511476.64, -1967830.67,  5059110.70,      51.677009,       +2.101513,  100031.54,  226693.38,    2637.76,             2735.82,   266.26,  65681.27,           62013.87,     17.49,     12.48,          19.55,  +1.09,  -0.69
  2,     UK000C,       0,  0.080324, 2459462.456542484928,  52.00275,  28.06217,               75.70882,  25.06990,        75.71564,       25.07005,     52.00275,     +28.06217,      51.99796,      +28.05803,  3509955.72, -1968956.16,  5057504.02,      51.673581,       +2.076782,   98289.72,  224317.12,    5119.97,             5218.03,   156.12,  61801.77,           62013.87,    -19.70,    -14.04,          22.24,  +1.02,  -0.73
  3,     UK000C,       0,  0.120476, 2459462.456542949658,  52.13334,  27.91935,               75.72455,  24.88690,        75.71972,       24.88680,     52.13334,     +27.91935,      52.13760,      +27.92228,  3508513.33, -1970023.54,  5055980.30,      51.670323,       +2.053310,   96638.27,  222065.33,    7474.01,             7572.08,   -81.40,  58628.38,           62013.87,     13.84,      9.87,          15.79,  +0.55,  -1.18
  4,     UK000C,       0,  0.160664, 2459462.456543414854,  52.31506,  27.77515,               75.70468,  24.67176,        75.72457,       24.67217,     52.31506,     +27.77515,      52.30061,      +27.76306,  3506861.79, -1971245.69,  5054235.64,      51.666585,       +2.026449,   94747.88,  219491.37,   10169.39,            10267.46,    20.09,  67069.30,           62680.11,    -56.39,    -40.18,          65.07,  +0.61,  -1.10
  5,     UK000C,       0,  0.200836, 2459462.456543879583,  52.46412,  27.61600,               75.71878,  24.46540,        75.72918,       24.46562,     52.46412,     +27.61600,      52.45707,      +27.60968,  3505307.61, -1972395.80,  5052593.82,      51.663060,       +2.001151,   92969.44,  217071.41,   12705.88,            12803.94,   -36.29,  63140.64,           62936.20,    -29.23,    -20.83,          34.10,  +1.56,  -0.12
  6,     UK000C,       0,  0.240996, 2459462.456544344779,  52.59196,  27.45129,               75.75165,  24.26771,        75.73355,       24.26731,     52.59196,     +27.45129,      52.60692,      +27.46228,  3503846.75, -1973476.85,  5051050.59,      51.659739,       +1.977353,   91298.21,  214798.75,   15090.07,            15188.13,  -244.19,  59367.32,           62645.33,     50.38,     35.94,          59.43,  +2.16,  +0.50
  0,     UK002C,       0,  0.002600, 2459462.456541366875,  51.68799,  20.33077,               80.79471,  18.89506,        80.82970,       18.90179,     51.68799,     +20.33077,      51.65667,      +20.31408,  3513053.70, -1966663.64,  5060776.67,      51.680557,       +2.127209,  101838.12,  295381.28,       0.00,              162.01,   116.70,      0.00,           62021.42,   -131.32,   -114.36,         121.60,  +3.97,  +1.62
  1,     UK002C,       0,  0.042768, 2459462.456541831605,  51.75798,  20.14636,               80.87044,  18.71290,        80.87042,       18.71289,     51.75798,     +20.14636,      51.75816,      +20.14637,  3511551.61, -1967775.20,  5059189.89,      51.677178,       +2.102792,  100117.40,  293129.67,    2451.47,             2613.48,   -24.43,  61030.41,           62021.42,      0.08,      0.07,           0.08,  +2.03,  -0.31
  2,     UK002C,       0,  0.082960, 2459462.456542296801,  51.86385,  19.94408,               80.93138,  18.49502,        80.91784,       18.49239,     51.86385,     +19.94408,      51.87632,      +19.95052,  3509827.90, -1969050.75,  5057368.99,      51.673292,       +2.074785,   98143.36,  290551.62,    5264.63,             5426.64,   194.58,  69993.01,           62021.42,     50.06,     43.68,          47.16,  +1.70,  -0.62
  3,     UK002C,       0,  0.123108, 2459462.456542761531,  51.96733,  19.80311,               80.95138,  18.32477,        80.95369,       18.32522,     51.96733,     +19.80311,      51.96576,      +19.80201,  3508539.60, -1970004.10,  5056008.05,      51.670382,       +2.053803,   96668.34,  288624.99,    7367.19,             7529.20,  -294.17,  52370.26,           62021.42,     -8.51,     -7.43,           8.07,  +1.44,  -0.86
  4,     UK002C,       0,  0.163324, 2459462.456543227192,  52.09258,  19.58250,               81.00973,  18.08084,        81.00615,       18.08015,     52.09258,     +19.58250,      52.09646,      +19.58421,  3506684.41, -1971376.96,  5054048.25,      51.666183,       +2.023649,   94544.88,  285859.96,   10394.94,            10556.95,   137.88,  75287.30,           63978.72,     13.06,     11.39,          12.50,  +1.21,  -1.07
  5,     UK002C,       0,  0.203500, 2459462.456543691922,  52.18978,  19.39934,               81.06291,  17.88238,        81.04894,       17.87967,     52.18978,     +19.39934,      52.20316,      +19.40599,  3505191.89, -1972481.43,  5052471.58,      51.662797,       +1.999347,   92837.04,  283637.35,   12830.79,            12992.80,   -19.39,  60629.47,           64059.22,     50.60,     44.16,          48.84,  +2.27,  +0.01
  6,     UK002C,       0,  0.243668, 2459462.456544157118,  52.28931,  19.22708,               81.10655,  17.69063,        81.08988,       17.68739,     52.28931,     +19.22708,      52.30528,      +19.23501,  3503781.76, -1973524.94,  5050981.93,      51.659592,       +1.976369,   91223.87,  281540.18,   15132.19,            15294.20,  -310.59,  57294.39,           63363.40,     60.00,     52.37,          58.35,  +2.54,  +0.29

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.