Orbital Analysis for matched events on 20210810_010153.220_UK

Summary for Event
-----------------
shower ID 197 AUD
Lg 306.14° Bg 79.31° Vg 23.15km/s
mass 0.01696g, abs. mag 1.8
Path Details
------------
start -2.47° 51.60° 93.56km
end   -2.42° 51.58° 85.94km

Orbit Details
-------------
Semimajor axis 2.97A.U., eccentricity 0.66, inclination 36.96°, Period 5.11Y, LA Sun 137.35°, last Perihelion 2016-07-14

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: 2459436.542977094185
Time: 2021-08-10 01:01:53.220938 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 54.89423 deg
 R.A. = 285.24070  Dec = +57.26844 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 54.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3547916.89 +/- 28.85 m
 Y =  -1907290.67 +/- 79.58 m
 Z =   5048928.59 +/- 186.35 m
 Vx =     3436.42 +/- 199.56 m/s
 Vy =   -13321.04 +/- 31.24 m/s
 Vz =    21676.76 +/- 502.04 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.736096e+02, -1.612751e+03, +3.190606e+03, +9.479018e+02, +1.733979e+03, -2.141847e+03
-1.612751e+03, +8.540068e+03, -1.767484e+04, +3.762240e+03, -6.358935e+03, -9.374498e+03
+3.190606e+03, -1.767484e+04, +4.854232e+04, -9.042795e+03, +1.549022e+04, +6.169527e+04
+9.479018e+02, +3.762240e+03, -9.042795e+03, +1.190836e+04, -3.374653e+03, -1.894749e+04
+1.733979e+03, -6.358935e+03, +1.549022e+04, -3.374653e+03, +1.246072e+04, +1.108243e+04
-2.141847e+03, -9.374498e+03, +6.169527e+04, -1.894749e+04, +1.108243e+04, +2.245120e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: 0.001997 s

Reference point on the trajectory:
  Time: 2021-08-10 01:01:53.220938 UTC
  Lon     = +-2.468915 +/- 0.0009 deg
  Lat     = +51.601543 +/- 0.0008 deg
  Lat geo = +51.416787 +/- 0.0008 deg
  Ht      =   93787.35 +/- 173.61 m

  JD dynamic   = 2459436.543777835090 
  LST apparent = 331.7383954194 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 284.46518 +/- 0.4567 deg
  Dec       = +57.59877 +/- 0.6800 deg
  Azimuth   = 301.31711 +/- 1.4890 deg
  Elevation = +62.56373 +/- 0.2335 deg
  Vavg      =  25.46441 +/- 0.3776 km/s
  Vinit     =  25.67374 +/- 0.3944 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.30838 +/- 0.4567 deg
  Dec       = +58.00439 +/- 0.6800 deg
  Azimuth   = 302.07257 +/- 1.4890 deg
  Elevation = +63.06098 +/- 0.2335 deg
  Vavg      =  25.35021 +/- 0.3776 km/s
  Vinit     =  25.55955 +/- 0.3944 km/s
Radiant (geocentric, J2000):
  R.A.   = 281.69891 +/- 0.4624 deg
  Dec    = +57.35219 +/- 0.7208 deg
  Vg     =  23.14557 +/- 0.4396 km/s
  Vinf   =  25.67374 +/- 0.3944 km/s
  Zc     =  27.53271 +/- 0.2333 deg
  Zg     =  28.98654 +/- 0.2555 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 306.14282 +/- 1.5270 deg
  Bg     = +79.31165 +/- 0.6968 deg
  Vh     =  38.09307 +/- 0.1893 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 235.81088 +/- 0.2850 deg
  Bh     = +36.66201 +/- 0.7162 deg
  Vh_x   =  17.17088 +/- 0.1006 km/s
  Vh_y   =  25.27651 +/- 0.2017 km/s
  Vh_z   = -22.74512 +/- 0.4832 km/s
Orbit:
  La Sun = 137.350370 +/- nan deg
  a      =   2.965759 +/- 0.1330 AU
  e      =   0.664158 +/- 0.0155
  i      =  36.962355 +/- 0.7028 deg
  peri   = 197.011352 +/- 0.9515 deg
  node   = 137.356112 +/- 0.0001 deg
  Pi     = 334.367464 +/- 0.9516 deg
  q      =   0.996028 +/- 0.0019 AU
  f      = 342.982681 +/- 0.9516 deg
  M      = 357.402102 +/- 0.3654 deg
  Q      =   4.935491 +/- 0.2644 AU
  n      =   0.192975 +/- 0.0142 deg/day
  T      =   5.107454 +/- 0.3382 years
  Last perihelion JD = 2457584.476197 (2016-07-14 23:25:43.433404) +/- 124.2453 days
  Tj     =   2.656660 +/- 0.0863
Shower association:
  IAU No.  =  197
  IAU code =  AUD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.119553e-04, +1.894324e-05, -1.746661e+00, -2.615216e-08, -1.794366e-04, +1.446616e-04
q   , +1.894324e-05, +3.381024e-06, -1.573910e-01, -3.378694e-09, -2.953842e-05, +1.867614e-05
Tp  , -1.746661e+00, -1.573910e-01, +1.445005e+04, +2.177580e-04, +1.489325e+00, -1.205562e+00
node, -2.615216e-08, -3.378694e-09, +2.177580e-04, +4.694474e-12, +3.047426e-08, -2.599336e-08
peri, -1.794366e-04, -2.953842e-05, +1.489325e+00, +3.047426e-08, +2.599369e-04, -1.684902e-04
i   , +1.446616e-04, +1.867614e-05, -1.205562e+00, -2.599336e-08, -1.684902e-04, +1.439666e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 68.542992

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 3.362e-06 s
  Stddev    = 1.83e-03 s

Begin point on the trajectory:
  Lon =    -2.467483 +/- 0.0005 deg
  Lat =    51.601001 +/- 0.0007 deg
  Ht  = 93560.28 +/- 92.60 m
End point on the trajectory:
  Lon =    -2.420789 +/- 0.0003 deg
  Lat =    51.582763 +/- 0.0005 deg
  Ht  = 85944.87 +/- 46.71 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,  19.457700,   0.000000,    93560.28,    86180.67,          0.030833,     69.88,      4.89,              25.32, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_010146_425_0424960.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    92200.08,    85944.87,          0.014752,     31.33,      6.92,              46.79, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_010146_299_0420608.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,     UK000S,       0,  0.000000, 2459436.542977094185, 234.57171,  68.61735,              330.03529,  43.68775,       330.06861,       43.70283,    234.57171,     +68.61735,     234.57408,      +68.64576,  3547882.65, -1907157.92,  5048712.57,      51.601001,       -2.467483,   93560.28,  134328.46,       0.00,              255.85,  -139.53,      0.00,           27401.67,      4.65,    -66.47,         102.32,  +2.58,  +1.94
  1,     UK000S,       0,  0.040168, 2459436.542977558915, 234.03673,  68.62084,              330.17552,  43.52120,       330.20608,       43.53501,    234.03673,     +68.62084,     234.03843,      +68.64694,  3547733.90, -1906581.32,  5047774.30,      51.598643,       -2.461428,   92574.04,  133319.95,    1111.27,             1367.13,   -59.52,  27665.66,           27401.67,      4.24,    -60.62,          94.01,  +2.94,  +2.32
  2,     UK000S,       0,  0.080344, 2459436.542978024110, 233.47287,  68.60898,              330.30630,  43.33846,       330.35018,       43.35825,    233.47287,     +68.60898,     233.47450,      +68.64653,  3547579.72, -1905983.65,  5046801.73,      51.596197,       -2.455144,   91551.77,  132276.05,    2263.18,             2519.03,    60.91,  28671.42,           27401.67,      6.03,    -86.48,         135.18,  +2.55,  +1.94
  3,     UK000S,       0,  0.120504, 2459436.542978488840, 232.96619,  68.60993,              330.43875,  43.18083,       330.47852,       43.19875,    232.96619,     +68.60993,     232.96707,      +68.64401,  3547442.95, -1905453.47,  5045938.99,      51.594027,       -2.449587,   90644.96,  131351.95,    3285.00,             3540.85,    51.68,  25443.81,           27401.67,      5.44,    -77.94,         122.69,  +2.84,  +2.25
  4,     UK000S,       0,  0.160636, 2459436.542978953104, 232.51470,  68.64637,              330.59915,  43.05962,       330.59163,       43.05623,    232.51470,     +68.64637,     232.51514,      +68.63991,  3547322.63, -1904987.04,  5045180.00,      51.592117,       -2.444718,   89847.20,  130540.61,    4183.94,             4439.79,   -79.72,  22399.56,           26248.75,     -1.03,     14.68,          23.25,  +2.77,  +2.19
  5,     UK000S,       0,  0.200824, 2459436.542979418300, 231.94893,  68.59283,              330.68600,  42.85623,       330.73412,       42.87785,    231.94893,     +68.59283,     231.94833,      +68.63419,  3547173.89, -1904410.46,  5044241.76,      51.589755,       -2.438658,   88861.08,  129538.18,    5295.19,             5551.04,    -0.25,  27651.21,           26119.63,      6.49,    -93.29,         148.91,  +2.08,  +1.52
  6,     UK000S,       0,  0.240996, 2459436.542979883496, 231.37553,  68.61749,              330.86684,  42.69271,       330.87725,       42.69739,    231.37553,     +68.61749,     231.37585,      +68.62645,  3547025.87, -1903836.68,  5043308.07,      51.587403,       -2.432628,   87879.76,  128542.32,    6401.04,             6656.89,    74.24,  27527.92,           26224.45,      1.40,    -20.08,          32.29,  +2.14,  +1.59
  7,     UK000S,       0,  0.281148, 2459436.542980348226, 230.87895,  68.61337,              330.99520,  42.53818,       330.99995,       42.54032,    230.87895,     +68.61337,     230.87960,      +68.61747,  3546899.20, -1903345.63,  5042509.01,      51.585390,       -2.427490,   87039.94,  127692.01,    7347.44,             7603.29,   -10.21,  23570.51,           26047.02,      0.64,     -9.11,          14.76,  +2.28,  +1.75
  8,     UK000S,       0,  0.321300, 2459436.542980812956, 230.35947,  68.65813,              331.18615,  42.40410,       331.12669,       42.37733,    230.35947,     +68.65813,     230.36535,      +68.60673,  3546769.58, -1902843.20,  5041691.41,      51.583329,       -2.422228,   86180.67,  126823.21,    8315.79,             8571.65,   -72.71,  24117.13,           25835.61,     -7.98,    113.56,         185.15,  +5.37,  +4.85
  0,     UK001Z,       0,  0.054651, 2459436.542977697216,  70.21442,  74.08208,               22.94605,  45.98093,        22.95835,       45.98788,     70.21442,     +74.08208,      70.17792,      +74.07748,  3547677.50, -1906362.69,  5047418.53,      51.597748,       -2.459118,   92200.08,  127244.29,       0.00,             1788.50,    -9.97,      0.00,           26008.03,      5.28,     23.89,          39.66,  +3.22,  +2.70
  1,     UK001Z,       0,  0.094835, 2459436.542978162412,  70.62558,  73.76366,               23.28192,  45.73671,        23.25979,       45.72424,     70.62558,     +73.76366,      70.69053,      +73.77180,  3547538.05, -1905822.09,  5046538.84,      51.595536,       -2.453449,   91275.45,  126523.87,    1041.89,             2830.39,     0.24,  25927.97,           26008.03,     -9.45,    -42.80,          71.46,  +4.14,  +3.63
  2,     UK001Z,       0,  0.135035, 2459436.542978627607,  71.12019,  73.46168,               23.57455,  45.47450,        23.55447,       45.46322,     71.12019,     +73.46168,      71.17858,      +73.46894,  3547401.89, -1905294.31,  5045680.00,      51.593375,       -2.447919,   90372.73,  125824.69,    2059.10,             3847.60,   -14.63,  25303.69,           26008.03,     -8.55,    -38.70,          64.97,  +2.80,  +2.30
  3,     UK001Z,       0,  0.175263, 2459436.542979093269,  71.69431,  73.14093,               23.86765,  45.17848,        23.87047,       45.18006,     71.69431,     +73.14093,      71.68677,      +73.13993,  3547256.37, -1904730.20,  5044762.05,      51.591065,       -2.441995,   89407.92,  125082.36,    3146.31,             4934.81,    39.77,  27026.25,           26008.03,      1.19,      5.41,           9.13,  +2.60,  +2.11
  4,     UK001Z,       0,  0.215463, 2459436.542979558464,  72.12587,  72.81806,               24.18303,  44.91288,        24.17163,       44.90651,     72.12587,     +72.81806,      72.15864,      +72.82205,  3547117.78, -1904192.95,  5043887.80,      51.588863,       -2.436359,   88489.06,  124379.84,    4181.76,             5970.26,    43.14,  25757.46,           26036.32,     -4.81,    -21.80,          37.01,  +2.38,  +1.91
  5,     UK001Z,       0,  0.255659, 2459436.542980023660,  72.55251,  72.51231,               24.47131,  44.65254,        24.45654,       44.64431,     72.55251,     +72.51231,      72.59441,      +72.51738,  3546986.70, -1903684.84,  5043060.98,      51.586781,       -2.431038,   87620.07,  123719.47,    5161.03,             6949.54,    -9.57,  24362.49,           25805.34,     -6.21,    -28.13,          48.03,  +2.58,  +2.12
  6,     UK001Z,       0,  0.295887, 2459436.542980489321,  73.06507,  72.19157,               24.75250,  44.35792,        24.75989,       44.36202,     73.06507,     +72.19157,      73.04578,      +72.18907,  3546847.56, -1903145.46,  5042183.28,      51.584569,       -2.425378,   86697.61,  123023.23,    6200.58,             7989.08,    -2.83,  25841.31,           25726.69,      3.10,     14.03,          24.09,  +3.43,  +2.98
  7,     UK001Z,       0,  0.336075, 2459436.542980954517,  73.47668,  71.92734,               24.98029,  44.11450,        25.00651,       44.12901,     73.47668,     +71.92734,      73.40663,      +71.91860,  3546734.02, -1902705.33,  5041467.06,      51.582763,       -2.420789,   85944.87,  122457.96,    7048.86,             8837.36,  -186.32,  21107.79,           25309.20,     10.95,     49.60,          85.57,  +5.13,  +4.69

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.