Orbital Analysis for matched events on 20210929_042538.566_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 77.01° Bg 79.61° Vg 30.86km/s
mass 0.03581g, abs. mag 0.5
Path Details
------------
start 0.60° 54.17° 91.02km
end   0.62° 54.12° 84.70km

Orbit Details
-------------
Semimajor axis 3.61A.U., eccentricity 0.72, inclination 51.13°, Period 6.85Y, LA Sun 185.96°, last Perihelion 2014-11-30

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: 2459486.684474152047
Time: 2021-09-29 04:25:38.594900 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK004B
 Convergence angle = 37.07692 deg
 R.A. = 279.46940  Dec = +78.38262 deg

Best intersection: Stations UK0026 and UK004B with Qconv = 37.08 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    971201.66 +/- 76.52 m
 Y =   3668199.33 +/- 23.52 m
 Z =   5222796.83 +/- 149.05 m
 Vx =     1442.46 +/- 411.03 m/s
 Vy =    -6698.37 +/- 32.06 m/s
 Vz =    32071.33 +/- 1092.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.912776e+03, -1.929095e+03, -1.576953e+04, +3.501183e+04, +2.050354e+03, -1.080819e+05
-1.929095e+03, +6.584414e+02, +3.428059e+03, -6.903372e+03, +7.159188e+02, +2.356993e+04
-1.576953e+04, +3.428059e+03, +2.913405e+04, -5.860893e+04, -2.012082e+03, +1.843286e+05
+3.501183e+04, -6.903372e+03, -5.860893e+04, +1.871193e+05, +1.438250e+04, -5.320272e+05
+2.050354e+03, +7.159188e+02, -2.012082e+03, +1.438250e+04, +1.362063e+04, -5.141272e+04
-1.080819e+05, +2.356993e+04, +1.843286e+05, -5.320272e+05, -5.141272e+04, +1.642906e+06

Timing offsets (from input data):
    UK0026: 0.000954 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:25:38.594900 UTC
  Lon     = ++0.602640 +/- 0.0012 deg
  Lat     = +54.180178 +/- 0.0008 deg
  Lat geo = +53.999952 +/- 0.0008 deg
  Ht      =   91574.53 +/- 119.68 m

  JD dynamic   = 2459486.685275218915 
  LST apparent = 75.1704879705 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 282.15275 +/- 3.1199 deg
  Dec       = +77.94027 +/- 0.3861 deg
  Azimuth   = 352.53336 +/- 0.9330 deg
  Elevation = +43.15711 +/- 0.2448 deg
  Vavg      =  31.75116 +/- 0.7257 km/s
  Vinit     =  32.79511 +/- 1.0736 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 280.05325 +/- 3.1199 deg
  Dec       = +78.14720 +/- 0.3861 deg
  Azimuth   = 353.19140 +/- 0.9330 deg
  Elevation = +43.19823 +/- 0.2448 deg
  Vavg      =  31.72609 +/- 0.7257 km/s
  Vinit     =  32.77003 +/- 1.0736 km/s
Radiant (geocentric, J2000):
  R.A.   = 279.99569 +/- 2.8001 deg
  Dec    = +76.49344 +/- 0.4577 deg
  Vg     =  30.85507 +/- 1.1322 km/s
  Vinf   =  32.79511 +/- 1.0736 km/s
  Zc     =  47.02159 +/- 0.2446 deg
  Zg     =  48.54096 +/- 0.3150 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  77.00869 +/- 3.4606 deg
  Bg     = +79.61085 +/- 0.3716 deg
  Vh     =  39.05166 +/- 0.6017 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 281.30230 +/- 0.6737 deg
  Bh     = +51.00616 +/- 1.4501 deg
  Vh_x   =  -4.81590 +/- 0.3479 km/s
  Vh_y   =  24.09620 +/- 0.4431 km/s
  Vh_z   = -30.35148 +/- 1.0757 km/s
Orbit:
  La Sun = 185.957288 +/- -0.0000 deg
  a      =   3.605440 +/- 2.4840 AU
  e      =   0.723282 +/- 0.0545
  i      =  51.128086 +/- 1.4298 deg
  peri   = 188.006070 +/- 1.2102 deg
  node   = 185.959867 +/- 0.0000 deg
  Pi     =  13.965937 +/- 1.2102 deg
  q      =   0.997691 +/- 0.0008 AU
  f      = 351.993052 +/- 1.2102 deg
  M      = 359.109705 +/- 0.2100 deg
  Q      =   6.213189 +/- 4.9673 AU
  n      =   0.143968 +/- 0.0331 deg/day
  T      =   6.846018 +/- 10.2300 years
  Last perihelion JD = 2456992.317587 (2014-11-30 19:37:19.520811) +/- 3737.3214 days
  Tj     =   2.164882 +/- 0.2969
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.757886e-03, +6.135232e-05, -1.987780e+02, -3.282893e-08, -1.487700e-03, +1.789125e-03
q   , +6.135232e-05, +1.149463e-06, -2.946852e+00, -5.658248e-10, -2.736155e-05, +3.065750e-05
Tp  , -1.987780e+02, -2.946852e+00, +1.256041e+07, +1.682140e-03, +7.485303e+01, -9.266998e+01
node, -3.282893e-08, -5.658248e-10, +1.682140e-03, +2.993783e-13, +1.358226e-08, -1.628117e-08
peri, -1.487700e-03, -2.736155e-05, +7.485303e+01, +1.358226e-08, +6.577039e-04, -7.377487e-04
i   , +1.789125e-03, +3.065750e-05, -9.266998e+01, -1.628117e-08, -7.377487e-04, +8.859867e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 21.831807
 a2 = 8.084066

Mean time residuals from time vs. length:
  Station with reference time: UK004B
  Avg. res. = 2.568e-06 s
  Stddev    = 1.60e-03 s

Begin point on the trajectory:
  Lon =     0.603802 +/- 0.0010 deg
  Lat =    54.174977 +/- 0.0011 deg
  Ht  = 91019.30 +/- 141.84 m
End point on the trajectory:
  Lon =     0.615803 +/- 0.0011 deg
  Lat =    54.115713 +/- 0.0007 deg
  Ht  = 84702.55 +/- 84.64 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,  13.260427,  10.918089,    91019.30,    85792.42,          0.031733,     71.90,     56.98,              20.02, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210929_042536_212_0911360.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,  12.796375,   9.604957,    90766.31,    84702.55,          0.007965,     15.36,      9.07,              33.84, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20210929_042531_789_0908800.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,     UK0026,       0,  0.029740, 2459486.684474478010, 216.62914,  66.05138,               17.19757,  32.47509,        17.15610,       32.42140,    216.62914,     +66.05138,     216.76458,      +66.01842,   971165.96,  3668365.13,  5222002.97,      54.174977,       +0.603802,   91019.30,  166891.13,       0.00,              811.77,     0.01,      0.00,           33167.01,   -115.96,    146.32,         230.74,  +3.68,  +2.57
  1,     UK0026,       0,  0.069832, 2459486.684474942274, 216.50934,  65.90133,               17.32749,  32.36167,        17.30740,       32.33578,    216.50934,     +65.90133,     216.57478,      +65.88552,   971111.95,  3668615.92,  5220802.21,      54.167109,       +0.605392,   90179.58,  165748.38,    1227.86,             2039.63,   -86.96,  30625.97,           33167.01,    -55.62,     70.18,         111.43,  +1.95,  +0.85
  2,     UK0026,       0,  0.109928, 2459486.684475406073, 216.33265,  65.73651,               17.49014,  32.24546,        17.48297,       32.23626,    216.33265,     +65.73651,     216.35622,      +65.73092,   971050.29,  3668902.26,  5219431.24,      54.158123,       +0.607231,   89220.96,  164445.54,    2629.76,             3441.53,    -0.01,  34963.68,           33167.01,    -19.65,     24.80,          39.68,  +2.24,  +1.16
  3,     UK0026,       0,  0.150044, 2459486.684475870337, 216.22525,  65.56217,               17.62784,  32.10846,        17.65236,       32.13971,    216.22525,     +65.56217,     216.14747,      +65.58106,   970991.51,  3669175.20,  5218124.39,      54.149555,       +0.608975,   88307.31,  163204.99,    3966.10,             4777.88,    20.73,  33311.98,           33167.01,     66.38,    -83.77,         135.07,  +3.76,  +2.70
  4,     UK0026,       0,  0.190064, 2459486.684476333670, 215.93603,  65.46701,               17.80441,  32.07608,        17.79159,       32.05970,    215.93603,     +65.46701,     215.97775,      +65.45714,   970943.50,  3669398.17,  5217056.84,      54.142554,       +0.610370,   87561.04,  162192.17,    5057.75,             5869.52,  -200.09,  27277.46,           32065.85,    -34.57,     43.62,          70.78,  +2.96,  +1.91
  5,     UK0026,       0,  0.230156, 2459486.684476797935, 215.74770,  65.30448,               17.97242,  31.96527,        17.96730,       31.95875,    215.74770,     +65.30448,     215.76491,      +65.30057,   970883.98,  3669674.54,  5215733.61,      54.133874,       +0.612137,   86636.18,  160938.89,    6410.84,             7222.62,  -161.82,  33749.74,           31991.48,    -13.68,     17.26,          28.22,  +3.32,  +2.29
  6,     UK0026,       0,  0.270236, 2459486.684477261733, 215.57430,  65.15436,               18.12779,  31.86320,        18.12929,       31.86511,    215.57430,     +65.15436,     215.57070,      +65.15550,   970829.68,  3669926.71,  5214526.26,      54.125951,       +0.613736,   85792.42,  159796.50,    7645.44,             8457.22,  -241.64,  30803.40,           31837.63,      3.96,     -5.00,           8.24,  +3.31,  +2.29
  0,     UK004B,       1,  0.000000, 2459486.684474152047, 168.22058,  60.66577,               41.83897,  42.89322,        41.81506,       42.83562,    168.22058,     +60.66577,     168.33668,      +60.64606,   971199.75,  3668208.23,  5222754.19,      54.179899,       +0.602821,   91544.71,  133500.66,       0.00,               43.60,   207.15,      0.00,           31147.17,    -71.29,    120.84,         216.77,  +4.74,  +4.11
  1,     UK004B,       0,  0.040016, 2459486.684474615380, 168.14603,  60.37830,               42.18522,  42.75362,        42.18501,       42.75313,    168.14603,     +60.37830,     168.14718,      +60.37814,   971149.69,  3668440.69,  5221641.22,      54.172607,       +0.604282,   90766.31,  132573.85,    1138.09,             1181.69,    32.91,  28440.83,           31147.17,     -0.60,      1.02,           1.85,  +1.76,  +1.15
  2,     UK004B,       0,  0.079976, 2459486.684475077782, 167.93516,  60.08370,               42.59290,  42.66410,        42.59147,       42.66078,    167.93516,     +60.08370,     167.94212,      +60.08258,   971095.39,  3668692.84,  5220433.93,      54.164696,       +0.605882,   89922.06,  131572.70,    2372.62,             2416.22,   -43.05,  30894.13,           31147.17,     -4.08,      6.90,          12.56,  +1.57,  +0.97
  3,     UK004B,       0,  0.119924, 2459486.684475540183, 167.69173,  59.75341,               43.05277,  42.56691,        43.04757,       42.55497,    167.69173,     +59.75341,     167.71583,      +59.74942,   971035.30,  3668971.86,  5219097.97,      54.155938,       +0.607670,   88987.95,  130470.07,    3738.73,             3782.33,    12.96,  34197.20,           31147.17,    -14.52,     24.58,          45.13,  +1.67,  +1.09
  4,     UK004B,       0,  0.159896, 2459486.684476002585, 167.50351,  59.42969,               43.48288,  42.45142,        43.48313,       42.45197,    167.50351,     +59.42969,     167.50310,      +59.42987,   970978.63,  3669235.04,  5217837.89,      54.147676,       +0.609346,   88107.02,  129434.32,    5027.25,             5070.85,    -9.40,  32235.60,           31661.31,      0.67,     -1.13,           2.09,  +2.00,  +1.44
  5,     UK004B,       0,  0.199856, 2459486.684476464987, 167.31317,  59.14888,               43.86685,  42.36240,        43.86577,       42.35999,    167.31317,     +59.14888,     167.31870,      +59.14809,   970929.34,  3669463.91,  5216742.11,      54.140489,       +0.610782,   87341.05,  128536.57,    6147.76,             6191.36,  -199.39,  28040.69,           31291.15,     -2.90,      4.90,           9.13,  +2.45,  +1.90
  6,     UK004B,       0,  0.239808, 2459486.684476927388, 167.08938,  58.83879,               44.29643,  42.26995,        44.29010,       42.25607,    167.08938,     +58.83879,     167.11729,      +58.83426,   970875.37,  3669714.54,  5215542.11,      54.132617,       +0.612371,   86502.34,  127557.99,    7374.84,             7418.44,  -282.54,  30713.88,           31097.10,    -16.58,     28.06,          52.71,  +3.01,  +2.48
  7,     UK004B,       0,  0.279760, 2459486.684477389790, 166.85058,  58.44360,               44.82426,  42.13310,        44.81975,       42.12339,    166.85058,     +58.44360,     166.87043,      +58.44046,   970809.03,  3670022.59,  5214067.16,      54.122938,       +0.614361,   85471.62,  126362.44,    8883.08,             8926.68,   -84.53,  37751.34,           31570.54,    -11.52,     19.49,          36.96,  +3.77,  +3.26
  8,     UK004B,       0,  0.319736, 2459486.684477852657, 166.69168,  58.14148,               45.21735,  42.01856,        45.21885,       42.02175,    166.69168,     +58.14148,     166.68692,      +58.14250,   970759.53,  3670252.48,  5212966.50,      54.115713,       +0.615803,   84702.55,  125473.14,   10008.57,            10052.17,  -270.05,  28154.25,           31563.70,      3.76,     -6.36,          12.15,  +4.53,  +4.04

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.