Orbital Analysis for matched events on 20210810_015805.661_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 81.44° Bg 62.19° Vg 33.70km/s
mass 0.00278g, abs. mag 3.1
Path Details
------------
start -2.58° 50.58° 87.51km
end   -2.60° 50.50° 75.18km

Orbit Details
-------------
Semimajor axis 1.70A.U., eccentricity 0.46, inclination 61.23°, Period 2.22Y, LA Sun 137.39°, last Perihelion 2021-07-04

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: 2459436.582009969279
Time: 2021-08-10 01:58:05.661346 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0025
 Convergence angle = 53.87531 deg
 R.A. =  38.63677  Dec = +83.59004 deg

Best intersection: Stations UK000H and UK0025 with Qconv = 53.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3986782.58 +/- 47.01 m
 Y =  -1014752.13 +/- 26.43 m
 Z =   4971638.19 +/- 35.35 m
 Vx =     2937.33 +/- 213.91 m/s
 Vy =     2333.52 +/- 170.49 m/s
 Vz =    35284.01 +/- 111.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.384647e+03, -2.659611e+02, +1.075672e+03, +1.019990e+04, -3.258161e+03, +3.665061e+03
-2.659611e+02, +7.443955e+02, -2.600639e+02, -2.250924e+03, +4.161693e+03, -1.794733e+03
+1.075672e+03, -2.600639e+02, +1.348187e+03, +4.874157e+03, -2.337308e+03, +1.947159e+03
+1.019990e+04, -2.250924e+03, +4.874157e+03, +4.931291e+04, -2.261167e+04, +1.933882e+04
-3.258161e+03, +4.161693e+03, -2.337308e+03, -2.261167e+04, +2.701416e+04, -1.355335e+04
+3.665061e+03, -1.794733e+03, +1.947159e+03, +1.933882e+04, -1.355335e+04, +8.931213e+03

Timing offsets (from input data):
    UK000H: 0.000036 s
    UK0025: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:58:05.661346 UTC
  Lon     = +-2.577833 +/- 0.0004 deg
  Lat     = +50.579494 +/- 0.0003 deg
  Lat geo = +50.393150 +/- 0.0003 deg
  Ht      =   87542.98 +/- 51.47 m

  JD dynamic   = 2459436.582810710184 
  LST apparent = 345.7197850569 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  38.46489 +/- 3.6419 deg
  Dec       = +83.93106 +/- 0.2105 deg
  Azimuth   =   8.22733 +/- 0.3369 deg
  Elevation = +53.98065 +/- 0.3762 deg
  Vavg      =  34.95094 +/- 0.0991 km/s
  Vinit     =  35.48288 +/- 0.0991 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.07075 +/- 3.6419 deg
  Dec       = +83.54132 +/- 0.2105 deg
  Azimuth   =   9.04087 +/- 0.3369 deg
  Elevation = +53.92187 +/- 0.3762 deg
  Vavg      =  34.97745 +/- 0.0991 km/s
  Vinit     =  35.50938 +/- 0.0991 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.80155 +/- 4.1574 deg
  Dec    = +84.28162 +/- 0.1980 deg
  Vg     =  33.69716 +/- 0.1043 km/s
  Vinf   =  35.48288 +/- 0.0991 km/s
  Zc     =  36.20379 +/- 0.3762 deg
  Zg     =  37.17067 +/- 0.3925 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  81.43693 +/- 0.7969 deg
  Bg     = +62.19182 +/- 0.2449 deg
  Vh     =  35.05420 +/- 0.0882 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 199.89555 +/- 0.4698 deg
  Bh     = +58.24475 +/- 0.3554 deg
  Vh_x   =  17.34762 +/- 0.2108 km/s
  Vh_y   =   6.27823 +/- 0.1100 km/s
  Vh_z   = -29.80673 +/- 0.1484 km/s
Orbit:
  La Sun = 137.387818 +/- -0.0000 deg
  a      =   1.701363 +/- 0.0213 AU
  e      =   0.461211 +/- 0.0051
  i      =  61.231717 +/- 0.2560 deg
  peri   = 134.156177 +/- 1.2953 deg
  node   = 137.391004 +/- 0.0000 deg
  Pi     = 271.547181 +/- 1.2953 deg
  q      =   0.916675 +/- 0.0049 AU
  f      =  45.839913 +/- 1.2953 deg
  M      =  16.069224 +/- 0.6276 deg
  Q      =   2.486051 +/- 0.0396 AU
  n      =   0.444129 +/- 0.0078 deg/day
  T      =   2.219199 +/- 0.0421 years
  Last perihelion JD = 2459400.401323 (2021-07-04 21:37:54.320474) +/- 0.8995 days
  Tj     =   3.547198 +/- 0.0349
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.791511e-05, +6.580277e-06, +2.175765e-03, +8.692901e-10, +4.518802e-05, -1.117029e-05
q   , +6.580277e-06, +2.608076e-05, +4.640921e-03, -1.386344e-09, +1.184519e-04, +1.779449e-05
Tp  , +2.175765e-03, +4.640921e-03, +8.644441e-01, -2.001014e-07, +2.166611e-02, +2.568029e-03
node, +8.692901e-10, -1.386344e-09, -2.001014e-07, +1.307793e-13, -5.586859e-09, -1.679182e-09
peri, +4.518802e-05, +1.184519e-04, +2.166611e-02, -5.586859e-09, +5.469387e-04, +7.170476e-05
i   , -1.117029e-05, +1.779449e-05, +2.568029e-03, -1.679182e-09, +7.170476e-05, +2.156054e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -11.009970
 a2 = 5.214706

Mean time residuals from time vs. length:
  Station with reference time: UK0025
  Avg. res. = 1.789e-05 s
  Stddev    = 4.23e-03 s

Begin point on the trajectory:
  Lon =    -2.577879 +/- 0.0004 deg
  Lat =    50.579289 +/- 0.0002 deg
  Ht  = 87510.85 +/- 50.42 m
End point on the trajectory:
  Lon =    -2.597567 +/- 0.0005 deg
  Lat =    50.500389 +/- 0.0003 deg
  Ht  = 75175.30 +/- 52.52 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,  81.707507,   0.000001,    83425.43,    75175.30,          0.014195,     25.27,      5.84,              63.87, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_015755_869_0508672.fits"}
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,    87510.85,    79697.51,          0.019984,     16.64,     28.68,              56.40, 1.0000,    True,    True, {"ff_name": "FF_UK0025_20210810_015806_792_0504320.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,     UK000H,       0,  0.146156, 2459436.582011666615, 310.20066,  23.72985,              239.60568,  51.05295,       239.58660,       51.05983,    310.20066,     +23.72985,     310.21566,      +23.72825,  3986361.10, -1015086.97,  4966575.19,      50.553199,       -2.584413,   83425.43,  106781.97,       0.00,             5091.53,    -0.90,      0.00,           35130.06,      5.81,     25.10,          49.76,  +4.49,  +4.35
  1,     UK000H,       0,  0.186752, 2459436.582012136467, 310.12173,  23.03792,              239.05105,  50.45220,       239.04967,       50.45270,    310.12173,     +23.03792,     310.12299,      +23.03781,  3986244.79, -1015179.37,  4965178.05,      50.545937,       -2.586230,   82289.40,  106229.86,    1405.01,             6496.55,   -36.35,  34609.67,           35130.06,      0.42,      1.83,           3.65,  +3.67,  +3.54
  2,     UK000H,       0,  0.227288, 2459436.582012605853, 310.03856,  22.41699,              238.58045,  49.90391,       238.57920,       49.90436,    310.03856,     +22.41699,     310.03989,      +22.41688,  3986141.24, -1015261.64,  4963934.13,      50.539469,       -2.587866,   81278.01,  105752.30,    2655.95,             7747.49,  -223.74,  30859.97,           35130.06,      0.38,      1.66,           3.31,  +3.39,  +3.27
  3,     UK000H,       0,  0.268020, 2459436.582013077103, 309.90616,  21.57587,              237.98416,  49.14712,       237.95481,       49.15758,    309.90616,     +21.57587,     309.93003,      +21.57339,  3986001.95, -1015372.29,  4962261.00,      50.530767,       -2.590008,   79917.80,  105127.82,    4338.51,             9430.05,    13.53,  41308.05,           35130.06,      9.03,     39.08,          78.70,  +2.94,  +2.83
  4,     UK000H,       0,  0.308568, 2459436.582013546489, 309.86604,  20.93051,              237.46886,  48.59664,       237.49466,       48.58747,    309.86604,     +20.93051,     309.84611,      +20.93270,  3985897.30, -1015455.43,  4961003.85,      50.524225,       -2.591660,   78895.84,  104675.57,    5602.74,            10694.27,  -161.00,  31178.54,           34818.22,     -7.99,    -34.48,          69.74,  +2.50,  +2.40
  5,     UK000H,       0,  0.349180, 2459436.582014016341, 309.77079,  20.22475,              236.97799,  47.96471,       236.99881,       47.95734,    309.77079,     +20.22475,     309.75494,      +20.22653,  3985782.95, -1015546.27,  4959630.35,      50.517076,       -2.593449,   77779.37,  104196.17,    6983.99,            12075.52,  -220.78,  34010.83,           34613.75,     -6.47,    -27.94,          56.76,  +2.23,  +2.14
  6,     UK000H,       0,  0.389868, 2459436.582014487125, 309.64847,  19.43685,              236.46366,  47.24792,       236.45746,       47.25011,    309.64847,     +19.43685,     309.65449,      +19.43632,  3985656.20, -1015646.96,  4958107.80,      50.509148,       -2.595414,   76541.87,  103682.97,    8515.12,            13606.65,  -133.38,  37631.02,           34864.67,      1.93,      8.36,          17.08,  +3.08,  +3.00
  7,     UK000H,       0,  0.430624, 2459436.582014958840, 309.56093,  18.55281,              235.84754,  46.46633,       235.86973,       46.45853,    309.56093,     +18.55281,     309.54413,      +18.55472,  3985516.22, -1015758.17,  4956426.26,      50.500389,       -2.597567,   75175.30,  103138.98,   10206.13,            15297.66,   111.49,  41491.10,           35523.48,     -6.96,    -30.10,          61.79,  +4.00,  +3.93
  0,     UK0025,       0,  0.000000, 2459436.582009969279,   3.56675,  28.59717,              141.49195,  63.84043,       141.48468,       63.83853,      3.56675,     +28.59717,       3.57037,      +28.59690,  3986779.30, -1014754.74,  4971598.69,      50.579289,       -2.577879,   87510.85,   97248.25,       0.00,               39.72,   133.32,      0.00,           35914.24,      5.47,      3.17,          13.42,  +5.47,  +5.53
  1,     UK0025,       0,  0.040488, 2459436.582010438200,   3.47785,  27.96118,              142.28170,  63.30464,       142.22583,       63.29010,      3.47785,     +27.96118,       3.51016,      +27.95908,  3986672.15, -1014839.86,  4970311.57,      50.572607,       -2.579565,   86463.97,   96536.37,    1294.38,             1334.10,    -8.94,  31969.42,           35914.24,     42.27,     24.54,         104.44,  +3.62,  +3.70
  2,     UK0025,       0,  0.081212, 2459436.582010909449,   3.39112,  27.05029,              143.29482,  62.51544,       143.23132,       62.49907,      3.39112,     +27.05029,       3.42845,      +27.04788,  3986521.80, -1014959.30,  4968505.63,      50.563229,       -2.581864,   84995.25,   95559.52,    3110.50,             3150.22,   362.18,  44595.76,           35914.24,     48.43,     28.12,         120.88,  +4.15,  +4.25
  3,     UK0025,       0,  0.121680, 2459436.582011377905,   3.34838,  26.46780,              143.89409,  62.00265,       143.85072,       61.99153,      3.34838,     +26.46780,       3.37413,      +26.46614,  3986427.33, -1015034.35,  4967370.81,      50.557334,       -2.583371,   84072.40,   94957.09,    4251.71,             4291.43,    67.47,  28200.33,           35914.24,     33.26,     19.31,          83.53,  +4.15,  +4.26
  4,     UK0025,       0,  0.162268, 2459436.582011847757,   3.30393,  25.73930,              144.60127,  61.35477,       144.59331,       61.35274,      3.30393,     +25.73930,       3.30878,      +25.73900,  3986310.93, -1015126.82,  4965972.60,      50.550067,       -2.585189,   82935.45,   94229.35,    5657.80,             5697.52,    33.38,  34643.00,           35180.42,      6.14,      3.57,          15.55,  +3.16,  +3.29
  5,     UK0025,       0,  0.202848, 2459436.582012317143,   3.23767,  25.01551,              145.31388,  60.71572,       145.30321,       60.71302,      3.23767,     +25.01551,       3.24437,      +25.01510,  3986196.80, -1015217.50,  4964601.56,      50.542940,       -2.586975,   81820.67,   93530.73,    7036.57,             7076.29,   -27.75,  33976.59,           34798.70,      8.30,      4.82,          21.17,  +3.53,  +3.68
  6,     UK0025,       0,  0.243484, 2459436.582012787461,   3.17770,  24.23092,              146.03640,  60.01505,       146.03989,       60.01593,      3.17770,     +24.23092,       3.17597,      +24.23105,  3986075.07, -1015314.20,  4963139.27,      50.535336,       -2.588868,   80631.80,   92802.63,    8507.10,             8546.82,     0.90,  36187.89,           34811.44,     -2.74,     -1.59,           7.04,  +3.68,  +3.84
  7,     UK0025,       0,  0.284000, 2459436.582013256382,   3.14689,  23.60472,              146.56382,  59.44738,       146.60763,       59.45837,      3.14689,     +23.60472,       3.12043,      +23.60645,  3985979.39, -1015390.21,  4961990.05,      50.529357,       -2.590392,   79697.51,   92242.13,    9662.80,             9702.52,  -281.02,  28524.50,           34293.69,    -34.58,    -20.06,          89.40,  +5.47,  +5.65

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.