Orbital Analysis for matched events on 20210929_023012.949_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 67.79° Bg 8.01° Vg 64.58km/s
mass 0.05051g, abs. mag -1.7
Path Details
------------
start -3.11° 54.84° 106.57km
end   -3.18° 54.89° 93.71km

Orbit Details
-------------
Semimajor axis 21.05A.U., eccentricity 0.98, inclination 161.36°, Period 96.58Y, LA Sun 185.88°, last Perihelion 1925-04-07

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: 2459486.604316540994
Time: 2021-09-29 02:30:12.953930 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003B and UK003G
 Convergence angle = 48.68064 deg
 R.A. =  78.01223  Dec = -36.57931 deg
Intersection 2 - Stations: UK003B and UK003X
 Convergence angle = 17.05543 deg
 R.A. =  65.52217  Dec = +27.34193 deg
Intersection 3 - Stations: UK003G and UK003X
 Convergence angle = 43.58642 deg
 R.A. = 235.63084  Dec = +53.02714 deg

Best intersection: Stations UK003B and UK003G with Qconv = 48.68 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2758142.50 +/- 271.00 m
 Y =   2529492.97 +/- 2079.85 m
 Z =   5278613.04 +/- 2513.08 m
 Vx =    24257.58 +/- 2021.36 m/s
 Vy =    51451.19 +/- 2631.63 m/s
 Vz =    32520.68 +/- 11791.57 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.240749e+03, +2.089729e+04, -2.270967e+04, +2.301761e+04, +1.191852e+05, -1.540144e+05
+2.089729e+04, +1.197941e+05, -1.475642e+05, +9.594082e+04, +6.797934e+05, -8.898973e+05
-2.270967e+04, -1.475642e+05, +2.061360e+05, -1.127687e+05, -8.351525e+05, +1.118220e+06
+2.301761e+04, +9.594082e+04, -1.127687e+05, +1.575928e+05, +7.015695e+05, -9.184942e+05
+1.191852e+05, +6.797934e+05, -8.351525e+05, +7.015695e+05, +4.459759e+06, -5.787642e+06
-1.540144e+05, -8.898973e+05, +1.118220e+06, -9.184942e+05, -5.787642e+06, +7.568952e+06

Timing offsets (from input data):
    UK003B: 0.000000 s
    UK003G: 0.000020 s
    UK003X: -0.000153 s

Reference point on the trajectory:
  Time: 2021-09-29 02:30:12.953930 UTC
  Lon     = +-3.108060 +/- 0.0207 deg
  Lat     = +54.842613 +/- 0.0244 deg
  Lat geo = +54.664224 +/- 0.0244 deg
  Ht      =  106724.68 +/- 1133.32 m

  JD dynamic   = 2459486.605117337313 
  LST apparent = 42.5239411867 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  64.75763 +/- 2.0807 deg
  Dec       = +29.75719 +/- 10.5392 deg
  Azimuth   = 138.49283 +/- 3.0337 deg
  Elevation = +60.28580 +/- 10.5201 deg
  Vavg      =  63.27559 +/- 11.9930 km/s
  Vinit     =  65.52290 +/- 0.6311 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  65.01161 +/- 2.0807 deg
  Dec       = +29.71219 +/- 10.5392 deg
  Azimuth   = 138.13429 +/- 3.0337 deg
  Elevation = +60.14815 +/- 10.5201 deg
  Vavg      =  63.36574 +/- 11.9930 km/s
  Vinit     =  65.61305 +/- 0.6311 km/s
Radiant (geocentric, J2000):
  R.A.   =  64.52927 +/- 2.1336 deg
  Dec    = +29.50801 +/- 10.6425 deg
  Vg     =  64.57593 +/- 0.6405 km/s
  Vinf   =  65.52290 +/- 0.6311 km/s
  Zc     =  29.58083 +/- 10.5150 deg
  Zg     =  29.80105 +/- 10.6255 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.79282 +/- 0.5867 deg
  Bg     =  +8.01276 +/- 10.8203 deg
  Vh     =  41.57985 +/- 1.7143 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  46.98381 +/- 3.4935 deg
  Bh     = +12.50596 +/- 15.3397 deg
  Vh_x   = -27.69295 +/- 1.9663 km/s
  Vh_y   = -29.68024 +/- 3.7491 km/s
  Vh_z   =  -9.00375 +/- 10.7357 km/s
Orbit:
  La Sun = 185.878575 +/- -0.0000 deg
  a      =  21.050853 +/- 8.5820 AU
  e      =   0.978452 +/- 0.1518
  i      = 161.357365 +/- 13.3703 deg
  peri   = 276.109723 +/- 18.3058 deg
  node   = 185.877515 +/- 21.6604 deg
  Pi     = 101.987238 +/- 11.2695 deg
  q      =   0.453611 +/- 0.0834 AU
  f      = 263.887506 +/- 11.2710 deg
  M      = 359.599296 +/- nan deg
  Q      =  41.648095 +/- 17.1920 AU
  n      =   0.010205 +/- 0.1497 deg/day
  T      =  96.583999 +/- 253395469.3608 years
  Last perihelion JD = 2424247.951699 (1925-04-07 10:50:26.767275) +/- 16553.1623 days
  Tj     =  -0.539728 +/- 0.8258
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.410478e-05, +2.181918e-06, -1.252337e+02, -6.947806e-08, -4.778389e-05, +2.320209e-04
q   , +2.181918e-06, +2.359579e-04, -2.543754e+01, +2.385689e-07, -4.800065e-04, -1.640701e-03
Tp  , -1.252337e+02, -2.543754e+01, +2.835538e+08, +1.066898e-01, +1.247853e+02, -2.187747e+02
node, -6.947806e-08, +2.385689e-07, +1.066898e-01, +4.995707e-10, -4.429820e-07, -2.524659e-06
peri, -4.778389e-05, -4.800065e-04, +1.247853e+02, -4.429820e-07, +1.001851e-03, +3.192010e-03
i   , +2.320209e-04, -1.640701e-03, -2.187747e+02, -2.524659e-06, +3.192010e-03, +1.470721e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.037012
 a2 = 42.288419

Mean time residuals from time vs. length:
  Station with reference time: UK003B
  Avg. res. = 6.073e-06 s
  Stddev    = 2.46e-03 s

Begin point on the trajectory:
  Lon =    -3.108965 +/- 0.0204 deg
  Lat =    54.843204 +/- 0.0241 deg
  Ht  = 106568.38 +/- 1132.64 m
End point on the trajectory:
  Lon =    -3.184651 +/- 0.0146 deg
  Lat =    54.891829 +/- 0.0169 deg
  Ht  = 93714.99 +/- 673.00 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
    UK003B,   False,    -1.072290,    52.276980,  129.00,   0.136450,  36.943360,   106394.11,    93714.99,          0.007683,     24.12,     38.27,              99.82, 0.9709,    True,    True, {"ff_name": "FF_UK003B_20210929_023008_996_0732416.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,  23.733523,   8.730444,   102182.20,    95509.70,          0.019606,     66.13,    126.49,             100.70, 0.9655,    True,    True, {"ff_name": "FF_UK003G_20210929_023005_220_0728320.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,  89.973888,   0.000000,   106568.38,    95040.01,          0.017837,     53.19,    103.68,              98.02, 0.9805,    True,    True, {"ff_name": "FF_UK003X_20210929_023010_809_0724224.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,     UK003B,       0,  0.000000, 2459486.604316540994, 262.45909,  49.81787,              335.51163,  17.02520,       335.51951,       17.02418,    262.45909,     +49.81787,     262.44770,      +49.81990,  2758001.59,  2529194.09,  5278424.13,      54.843862,       -3.109955,  106394.11,  335809.29,       0.00,              380.62,   220.72,      0.00,           63414.94,     37.72,     23.78,          27.39,  +2.07,  -0.56
  1,     UK003B,       0,  0.040400, 2459486.604317008518, 262.26036,  49.39405,              335.46197,  16.58480,       335.45629,       16.58553,    262.26036,     +49.39405,     262.26864,      +49.39260,  2757029.02,  2527131.24,  5277120.26,      54.852480,       -3.123345,  104112.64,  336229.57,    2627.04,             3007.66,   200.63,  65025.78,           63414.94,    -27.24,    -17.17,          19.75,  +1.58,  -1.05
  2,     UK003B,       0,  0.080760, 2459486.604317475576, 262.11173,  49.00344,              335.39669,  16.18720,       335.39895,       16.18691,    262.11173,     +49.00344,     262.10883,      +49.00401,  2756143.12,  2525252.22,  5275932.60,      54.860335,       -3.135569,  102034.72,  336630.24,    5019.96,             5400.57,   -50.96,  59289.28,           63414.94,     10.87,      6.85,           7.87,  +1.00,  -1.64
  3,     UK003B,       0,  0.121168, 2459486.604317943566, 261.92911,  48.56356,              335.33500,  15.73503,       335.33446,       15.73510,    261.92911,     +48.56356,     261.93036,      +48.56342,  2755136.37,  2523116.87,  5274582.91,      54.869265,       -3.149454,   99673.56,  337105.04,    7739.32,             8119.94,    20.76,  67297.71,           63414.94,     -2.61,     -1.64,           1.88,  +0.41,  -2.23
  4,     UK003B,       0,  0.161556, 2459486.604318410624, 261.78199,  48.13495,              335.25751,  15.30179,       335.27256,       15.29986,    261.78199,     +48.13495,     261.76144,      +48.13873,  2754163.87,  2521054.16,  5273279.13,      54.877897,       -3.162887,   97392.99,  337584.05,   10366.17,            10746.79,     1.27,  65040.32,           63991.03,     73.01,     46.03,          52.73,  +0.56,  -2.08
  5,     UK003B,       0,  0.201916, 2459486.604318878148, 261.59671,  47.75796,              335.22690,  14.90600,       335.21679,       14.90730,    261.59671,     +47.75796,     261.61170,      +47.75543,  2753284.39,  2519188.76,  5272100.07,      54.885707,       -3.175064,   95330.76,  338034.73,   12741.76,            13122.37,  -267.65,  58859.88,           63423.11,    -49.19,    -31.00,          35.48,  +0.69,  -1.95
  6,     UK003B,       0,  0.242192, 2459486.604319344275, 261.49153,  47.45624,              335.17595,  14.60000,       335.17298,       14.60039,    261.49153,     +47.45624,     261.49668,      +47.45549,  2752595.27,  2517727.09,  5271176.20,      54.891829,       -3.184651,   93714.99,  338400.13,   14603.18,            14983.80, -1045.22,  46216.75,           61382.07,    -14.51,     -9.15,          10.46,  +3.66,  +1.01
  0,     UK003G,       0,  0.073025, 2459486.604317384772, 242.68375,  49.76521,              347.66049,  12.38383,       347.65289,       12.38564,    242.68375,     +49.76521,     242.69586,      +49.76545,  2756206.00,  2525385.59,  5276016.89,      54.859777,       -3.134680,  102182.20,  416273.58,       0.00,             5230.73,   286.04,      0.00,           63074.15,    -49.21,    -25.73,          27.52,  +4.44,  +1.34
  1,     UK003G,       0,  0.113261, 2459486.604317850899, 242.69267,  49.46812,              347.59191,  12.09434,       347.57926,       12.09737,    242.69267,     +49.46812,     242.71270,      +49.46853,  2755393.76,  2523662.80,  5274927.97,      54.866982,       -3.145912,  100277.19,  416679.79,    2193.97,             7424.70,  -156.36,  54527.59,           63074.15,    -82.07,    -42.91,          45.85,  +0.87,  -2.23
  2,     UK003G,       0,  0.153517, 2459486.604318316560, 242.67808,  49.15110,              347.53457,  11.78217,       347.50108,       11.79018,    242.67808,     +49.15110,     242.73027,      +49.15217,  2754526.51,  2521823.33,  5273765.30,      54.874678,       -3.157905,   98243.36,  417125.69,    4536.53,             9767.26,  -451.50,  58191.47,           63074.15,   -217.72,   -113.81,         121.48,  +0.48,  -2.62
  3,     UK003G,       0,  0.193841, 2459486.604318783153, 242.73167,  48.72769,              347.41028,  11.37513,       347.39705,       11.37829,    242.73167,     +48.72769,     242.75269,      +48.72811,  2753360.71,  2519350.62,  5272202.38,      54.885029,       -3.173988,   95509.70,  417744.24,    7685.51,            12916.24,    55.34,  78092.09,           63074.15,    -86.27,    -45.10,          48.07,  +0.39,  -2.71
  0,     UK003X,       0,  0.004605, 2459486.604316596407, 235.71402,  52.75068,              352.24084,  14.95775,       352.23263,       14.96000,    235.71402,     +52.75068,     235.72751,      +52.75181,  2758075.88,  2529351.66,  5278523.72,      54.843204,       -3.108965,  106568.38,  373412.79,       0.00,              179.96,  -281.67,      0.00,           66822.39,    -47.80,    -24.52,          29.68,  +3.42,  +0.56
  1,     UK003X,       0,  0.044921, 2459486.604317063000, 235.81704,  52.31036,              352.11350,  14.53038,       352.10557,       14.53255,    235.81704,     +52.31036,     235.83013,      +52.31145,  2756994.66,  2527058.36,  5277074.20,      54.852785,       -3.123832,  104032.04,  373787.30,    2920.51,             3100.47,    -2.78,  72440.53,           66822.39,    -46.30,    -23.75,          28.72,  +3.01,  +0.15
  2,     UK003X,       0,  0.085189, 2459486.604317529127, 235.97896,  51.90804,              351.95377,  14.14593,       351.98818,       14.13650,    235.97896,     +51.90804,     235.92360,      +51.90339,  2755991.03,  2524929.63,  5275728.70,      54.861684,       -3.137660,  101678.00,  374155.15,    5631.44,             5811.40,    69.67,  67322.12,           66822.39,    201.49,    103.36,         124.84,  +1.50,  -1.37
  3,     UK003X,       0,  0.125457, 2459486.604317995254, 236.03476,  51.53954,              351.86502,  13.78597,       351.88302,       13.78104,    236.03476,     +51.53954,     236.00632,      +51.53712,  2755088.68,  2523015.70,  5274518.96,      54.869689,       -3.150123,   99561.70,  374502.54,    8068.82,             8248.77,  -131.43,  60528.93,           66822.39,    105.66,     54.20,          65.40,  +1.18,  -1.69
  4,     UK003X,       0,  0.165769, 2459486.604318461847, 236.08038,  51.11982,              351.77503,  13.37448,       351.76425,       13.37743,    236.08038,     +51.11982,     236.09826,      +51.12126,  2754062.14,  2520838.39,  5273142.75,      54.878800,       -3.164294,   97154.44,  374916.44,   10841.62,            11021.57,     0.01,  68783.48,           66602.31,    -63.42,    -32.53,          39.21,  +0.90,  -1.97
  5,     UK003X,       0,  0.206029, 2459486.604318927508, 236.15938,  50.75515,              351.67136,  13.02054,       351.66026,       13.02358,    236.15938,     +50.75515,     236.17782,      +50.75663,  2753160.39,  2518925.74,  5271933.83,      54.886808,       -3.176776,   95040.01,  375296.80,   13277.37,            13457.32,  -202.19,  60500.47,           65668.35,    -65.47,    -33.58,          40.44,  +1.37,  -1.50

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.