Orbital Analysis for matched events on 20210904_040110.683_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 8.61° Bg 11.71° Vg 40.63km/s
mass 0.10062g, abs. mag -1.3
Path Details
------------
start -1.45° 52.32° 87.85km
end   -1.38° 52.35° 82.47km

Orbit Details
-------------
Semimajor axis 3.22A.U., eccentricity 0.96, inclination 35.77°, Period 5.79Y, LA Sun 161.56°, last Perihelion 2015-12-24

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: 2459461.667484767269
Time: 2021-09-04 04:01:10.730402 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK003G
 Convergence angle = 8.54762 deg
 R.A. =   4.56473  Dec = +15.99226 deg

Best intersection: Stations UK000S and UK003G with Qconv = 8.55 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2928341.08 +/- 90.05 m
 Y =   2668309.65 +/- 28.36 m
 Z =   5094218.22 +/- 221.18 m
 Vx =    40576.62 +/- 687.28 m/s
 Vy =     2800.99 +/- 194.14 m/s
 Vz =    10947.94 +/- 1733.53 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.379573e+03, +2.011219e+03, -1.964331e+04, +5.292351e+04, +1.096770e+04, -1.361002e+05
+2.011219e+03, +8.458066e+02, -5.160046e+03, +1.465371e+04, +5.007871e+03, -3.778666e+04
-1.964331e+04, -5.160046e+03, +5.079119e+04, -1.353112e+05, -2.966123e+04, +3.482333e+05
+5.292351e+04, +1.465371e+04, -1.353112e+05, +4.702296e+05, +1.030827e+05, -1.179893e+06
+1.096770e+04, +5.007871e+03, -2.966123e+04, +1.030827e+05, +3.857822e+04, -2.613518e+05
-1.361002e+05, -3.778666e+04, +3.482333e+05, -1.179893e+06, -2.613518e+05, +2.967469e+06

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK003G: -0.000227 s

Reference point on the trajectory:
  Time: 2021-09-04 04:01:10.730402 UTC
  Lon     = +-1.454247 +/- 0.0007 deg
  Lat     = +52.312105 +/- 0.0018 deg
  Lat geo = +52.128316 +/- 0.0018 deg
  Ht      =   88544.91 +/- 128.08 m

  JD dynamic   = 2459461.668286046479 
  LST apparent = 42.3398382060 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   3.94884 +/- 0.2315 deg
  Dec       = +15.06516 +/- 2.4681 deg
  Azimuth   = 233.72947 +/- 2.1055 deg
  Elevation = +41.94337 +/- 1.9931 deg
  Vavg      =  41.50477 +/- 0.0690 km/s
  Vinit     =  42.12084 +/- 0.0926 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   4.26922 +/- 0.2315 deg
  Dec       = +15.12863 +/- 2.4681 deg
  Azimuth   = 233.41458 +/- 2.1055 deg
  Elevation = +42.15557 +/- 1.9931 deg
  Vavg      =  41.33216 +/- 0.0690 km/s
  Vinit     =  41.94823 +/- 0.0926 km/s
Radiant (geocentric, J2000):
  R.A.   =   3.18234 +/- 0.2357 deg
  Dec    = +14.15533 +/- 2.5125 deg
  Vg     =  40.62802 +/- 0.0960 km/s
  Vinf   =  42.12084 +/- 0.0926 km/s
  Zc     =  47.94808 +/- 1.9874 deg
  Zg     =  48.86734 +/- 2.0264 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   8.61389 +/- 0.9576 deg
  Bg     = +11.71035 +/- 2.3486 deg
  Vh     =  38.52359 +/- 0.3442 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 323.85183 +/- 0.1693 deg
  Bh     = +12.36271 +/- 2.6441 deg
  Vh_x   = -30.38625 +/- 0.6365 km/s
  Vh_y   =  22.19719 +/- 0.5445 km/s
  Vh_z   =  -8.24789 +/- 1.5707 km/s
Orbit:
  La Sun = 161.559725 +/- -0.0000 deg
  a      =   3.223995 +/- 0.2197 AU
  e      =   0.963957 +/- 0.0105
  i      =  35.769844 +/- 4.9002 deg
  peri   = 323.380308 +/- 2.2794 deg
  node   = 161.564330 +/- 0.0003 deg
  Pi     = 124.944639 +/- 2.2798 deg
  q      =   0.116202 +/- 0.0175 AU
  f      = 216.616429 +/- 2.2797 deg
  M      = 354.201990 +/- 1.1274 deg
  Q      =   6.331787 +/- 0.4552 AU
  n      =   0.170260 +/- 0.0264 deg/day
  T      =   5.788847 +/- 0.5475 years
  Last perihelion JD = 2457381.308803 (2015-12-24 19:24:40.572805) +/- 200.8194 days
  Tj     =   1.954045 +/- 0.1434
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.150323e-04, -1.882143e-04, -2.154230e+00, +6.503139e-08, +4.253658e-04, -9.441074e-04
q   , -1.882143e-04, +3.140746e-04, +3.390180e+00, -1.056130e-07, -7.150391e-04, +1.538891e-03
Tp  , -2.154230e+00, +3.390180e+00, +4.560168e+04, -1.293673e-03, -7.576173e+00, +1.826533e+01
node, +6.503139e-08, -1.056130e-07, -1.293673e-03, +3.845924e-11, +2.388336e-07, -5.474225e-07
peri, +4.253658e-04, -7.150391e-04, -7.576173e+00, +2.388336e-07, +1.632820e-03, -3.479561e-03
i   , -9.441074e-04, +1.538891e-03, +1.826533e+01, -5.474225e-07, -3.479561e-03, +7.862648e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000831
 a2 = 57.045084

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 2.938e-06 s
  Stddev    = 1.71e-03 s

Begin point on the trajectory:
  Lon =    -1.445212 +/- 0.0004 deg
  Lat =    52.316168 +/- 0.0014 deg
  Ht  = 87848.79 +/- 119.95 m
End point on the trajectory:
  Lon =    -1.376026 +/- 0.0006 deg
  Lat =    52.347609 +/- 0.0015 deg
  Ht  = 82465.25 +/- 120.16 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,  46.036746,   1.093347,    87671.27,    83010.37,          0.010865,     22.88,     27.33,              94.54, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210904_040106_763_0774400.fits"}
    UK003G,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    87848.79,    82465.25,          0.009922,     16.57,     18.04,              87.70, 1.0000,    True,    True, {"ff_name": "FF_UK003G_20210904_040109_157_0777728.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,       1,  0.000000, 2459461.667485468555, 204.89182,  65.96027,                7.77537,  27.55201,         7.76942,       27.54865,    204.89182,     +65.96027,     204.90625,      +65.95809,  2928349.57,  2668310.24,  5094220.51,      52.312071,       -1.454382,   88550.80,  186821.53,       0.00,                8.81,    93.02,      0.00,           42682.57,     15.62,    -13.08,          22.49,  +4.86,  +3.50
  1,     UK000S,       0,  0.040260, 2459461.667485934217, 204.57066,  65.58498,                8.00971,  27.21303,         8.00685,       27.21142,    204.57066,     +65.58498,     204.57773,      +65.58395,  2927081.83,  2668222.73,  5093878.46,      52.317204,       -1.443134,   87671.27,  186995.70,    1315.98,             1307.17,  -304.41,  32687.15,           42682.57,      7.53,     -6.31,          10.84,  +1.25,  -0.11
  2,     UK000S,       0,  0.080648, 2459461.667486401740, 204.08309,  65.02556,                8.36795,  26.71055,         8.36093,       26.70660,    204.08309,     +65.02556,     204.10001,      +65.02307,  2925182.79,  2668091.64,  5093366.08,      52.324893,       -1.426191,   86354.03,  187274.17,    3287.29,             3278.48,   -34.27,  48809.28,           42682.57,     18.57,    -15.55,          26.67,  +0.73,  -0.63
  3,     UK000S,       0,  0.121008, 2459461.667486868799, 203.69411,  64.51113,                8.67478,  26.24503,         8.67932,       26.24759,    203.69411,     +64.51113,     203.68413,      +64.51272,  2923453.74,  2667972.28,  5092899.57,      52.331895,       -1.410769,   85154.97,  187545.10,    5082.15,             5073.33,    60.58,  44471.11,           42682.57,    -12.06,     10.10,          17.31,  +0.87,  -0.50
  4,     UK000S,       0,  0.161324, 2459461.667487335857, 203.32039,  64.04721,                8.96589,  25.82898,         8.96652,       25.82933,    203.32039,     +64.04721,     203.31968,      +64.04743,  2921875.92,  2667863.36,  5092473.86,      52.338285,       -1.396700,   84061.01,  187806.69,    6720.01,             6711.20,     0.30,  40625.68,           42654.47,     -1.68,      1.40,           2.40,  +1.06,  -0.31
  5,     UK000S,       0,  0.201640, 2459461.667487802450, 203.02898,  63.59377,                9.21849,  25.41635,         9.23958,       25.42817,    203.02898,     +63.59377,     202.98211,      +63.60095,  2920360.30,  2667758.74,  5092064.93,      52.344423,       -1.383185,   83010.37,  188070.87,    8293.31,             8284.50,  -124.54,  39024.15,           42128.15,    -56.43,     47.25,          80.72,  +2.63,  +1.26
  0,     UK003G,       0,  0.023023, 2459461.667485305574, 183.30096,  73.78742,               12.77303,  37.86746,        12.77115,       37.86664,    183.30096,     +73.78742,     183.30702,      +73.78743,  2927337.71,  2668240.39,  5093947.50,      52.316168,       -1.445212,   87848.79,  141337.28,       0.00,             1041.55,   156.02,      0.00,           41010.22,      3.07,     -2.83,           6.09,  +2.56,  +1.81
  1,     UK003G,       0,  0.063471, 2459461.667485773563, 183.35558,  73.23252,               13.10112,  37.37693,        13.10586,       37.37900,    183.35558,     +73.23252,     183.34084,      +73.23248,  2926011.52,  2668148.84,  5093589.68,      52.321538,       -1.433434,   86928.83,  141369.39,    1376.67,             2418.22,  -171.02,  34035.49,           41010.22,     -7.81,      7.18,          15.48,  +0.36,  -0.39
  2,     UK003G,       0,  0.104087, 2459461.667486243881, 183.43887,  72.47313,               13.53862,  36.70215,        13.55841,       36.71079,    183.43887,     +72.47313,     183.37922,      +72.47297,  2924197.74,  2668023.64,  5093100.31,      52.328882,       -1.417253,   85670.89,  141435.58,    3259.47,             4301.02,     1.01,  46356.21,           41010.22,    -32.85,     30.17,          65.04,  +0.16,  -0.59
  3,     UK003G,       0,  0.144627, 2459461.667486712802, 183.45881,  71.80654,               13.93248,  36.11571,        13.94866,       36.12275,    183.45881,     +71.80654,     183.41177,      +71.80641,  2922603.50,  2667913.59,  5092670.17,      52.335338,       -1.403042,   84565.44,  141513.97,    4914.38,             5955.93,   -51.66,  40821.61,           41010.22,    -27.01,     24.81,          53.45,  +0.03,  -0.72
  4,     UK003G,       0,  0.185211, 2459461.667487182654, 183.43902,  71.08363,               14.36695,  35.48448,        14.36558,       35.48388,    183.43902,     +71.08363,     183.44359,      +71.08364,  2920873.17,  2667794.14,  5092203.31,      52.342346,       -1.387592,   83365.87,  141620.90,    6710.57,             7752.12,    35.09,  44258.51,           41819.89,      2.30,     -2.11,           4.54,  +0.31,  -0.45
  5,     UK003G,       0,  0.225651, 2459461.667487650644, 183.45414,  70.54233,               14.67744,  35.00622,        14.67252,       35.00409,    183.45414,     +70.54233,     183.46870,      +70.54237,  2919573.82,  2667704.45,  5091852.73,      52.347609,       -1.376026,   82465.25,  141715.38,    8059.36,             9100.91,  -319.49,  33352.87,           40844.96,      8.32,     -7.64,          16.44,  +2.75,  +1.99

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.