Orbital Analysis for matched events on 20210929_031029.223_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 37.74° Bg 40.27° Vg 42.95km/s
mass 0.00970g, abs. mag 1.1
Path Details
------------
start 0.07° 50.57° 99.36km
end   0.14° 50.55° 88.62km

Orbit Details
-------------
Semimajor axis 20.71A.U., eccentricity 0.97, inclination 65.86°, Period 94.27Y, LA Sun 185.91°, last Perihelion 1927-07-31

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: 2459486.632282677572
Time: 2021-09-29 03:10:29.223342 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK003N
 Convergence angle = 14.30732 deg
 R.A. =  21.81854  Dec = +50.08839 deg

Best intersection: Stations UK002N and UK003N with Qconv = 14.31 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2317109.91 +/- 127.89 m
 Y =   3409641.41 +/- 297.79 m
 Z =   4979822.64 +/- 106.83 m
 Vx =    26519.24 +/- 703.51 m/s
 Vy =     8005.01 +/- 1533.55 m/s
 Vz =    34655.21 +/- 1148.17 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.999297e+04, +4.327638e+04, +1.561323e+04, +8.758621e+04, +2.236408e+05, +5.259671e+04
+4.327638e+04, +1.029293e+05, +3.336392e+04, +2.001116e+05, +5.285444e+05, +1.285994e+05
+1.561323e+04, +3.336392e+04, +1.303694e+04, +6.468888e+04, +1.704627e+05, +4.126253e+04
+8.758621e+04, +2.001116e+05, +6.468888e+04, +4.329775e+05, +1.106959e+06, +2.558584e+05
+2.236408e+05, +5.285444e+05, +1.704627e+05, +1.106959e+06, +2.933163e+06, +6.993802e+05
+5.259671e+04, +1.285994e+05, +4.126253e+04, +2.558584e+05, +6.993802e+05, +1.723413e+05

Timing offsets (from input data):
    UK002N: 0.000630 s
    UK0039: 0.000000 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 03:10:29.223342 UTC
  Lon     = ++0.073564 +/- 0.0010 deg
  Lat     = +50.566971 +/- 0.0016 deg
  Lat geo = +50.380950 +/- 0.0016 deg
  Ht      =   99305.17 +/- 278.32 m

  JD dynamic   = 2459486.633083418477 
  LST apparent = 55.8009195576 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  16.79678 +/- 2.6027 deg
  Dec       = +51.36347 +/- 0.7606 deg
  Azimuth   = 287.16673 +/- 2.9440 deg
  Elevation = +65.71399 +/- 1.4166 deg
  Vavg      =  42.80033 +/- 0.8278 km/s
  Vinit     =  44.36591 +/- 0.9908 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  17.28328 +/- 2.6027 deg
  Dec       = +51.55383 +/- 0.7606 deg
  Azimuth   = 287.44978 +/- 2.9440 deg
  Elevation = +66.05273 +/- 1.4166 deg
  Vavg      =  42.68306 +/- 0.8278 km/s
  Vinit     =  44.24864 +/- 0.9908 km/s
Radiant (geocentric, J2000):
  R.A.   =  15.85456 +/- 2.6672 deg
  Dec    = +51.15443 +/- 0.7535 deg
  Vg     =  42.95373 +/- 1.0219 km/s
  Vinf   =  44.36591 +/- 0.9908 km/s
  Zc     =  24.34152 +/- 1.4257 deg
  Zg     =  24.74122 +/- 1.4648 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  37.73981 +/- 1.4583 deg
  Bg     = +40.27245 +/- 1.4738 deg
  Vh     =  41.57180 +/- 0.0436 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 342.19281 +/- 3.1722 deg
  Bh     = +41.91027 +/- 0.4469 deg
  Vh_x   = -29.45522 +/- 0.6232 km/s
  Vh_y   =   9.46111 +/- 1.6238 km/s
  Vh_z   = -27.76855 +/- 0.2504 km/s
Orbit:
  La Sun = 185.906036 +/- 0.0000 deg
  a      =  20.713287 +/- 1.8019 AU
  e      =   0.974387 +/- 0.0019
  i      =  65.863319 +/- 2.6366 deg
  peri   = 267.317423 +/- 3.1218 deg
  node   = 185.908170 +/- 0.0000 deg
  Pi     =  93.225593 +/- 3.1218 deg
  q      =   0.530539 +/- 0.0271 AU
  f      = 272.681871 +/- 3.1218 deg
  M      = 359.588002 +/- 0.0527 deg
  Q      =  40.896035 +/- 3.5937 AU
  n      =   0.010455 +/- 0.0013 deg/day
  T      =  94.270141 +/- 12.4779 years
  Last perihelion JD = 2425093.270489 (1927-07-31 18:29:30.251513) +/- 4557.6619 days
  Tj     =   0.618161 +/- 0.0411
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.960499e-06, -1.634143e-05, -7.548788e+00, -2.524511e-10, +3.095596e-05, +1.931517e-05
q   , -1.634143e-05, +8.734188e-04, -5.230213e+01, +1.854490e-08, -1.758875e-03, -1.423573e-03
Tp  , -7.548788e+00, -5.230213e+01, +2.344084e+07, -1.348461e-03, +1.098649e+02, +1.038810e+02
node, -2.524511e-10, +1.854490e-08, -1.348461e-03, +4.018320e-13, -3.739517e-08, -3.090528e-08
peri, +3.095596e-05, -1.758875e-03, +1.098649e+02, -3.739517e-08, +3.543035e-03, +2.870609e-03
i   , +1.931517e-05, -1.423573e-03, +1.038810e+02, -3.090528e-08, +2.870609e-03, +2.377767e-03

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

Mean time residuals from time vs. length:
  Station with reference time: UK003N
  Avg. res. = 1.049e-06 s
  Stddev    = 1.02e-03 s

Begin point on the trajectory:
  Lon =     0.073235 +/- 0.0010 deg
  Lat =    50.567036 +/- 0.0016 deg
  Ht  = 99359.99 +/- 273.40 m
End point on the trajectory:
  Lon =     0.136476 +/- 0.0006 deg
  Lat =    50.554340 +/- 0.0010 deg
  Ht  = 88624.95 +/- 141.27 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000002,  60.760843,    95188.15,    88695.71,          0.016195,      8.56,     36.86,              61.24, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210929_031023_062_0795136.fits"}
    UK0039,    True,    -0.345391,    51.458005,   13.00, 1719.568666,   0.409469,    92433.35,    86032.02,          0.665230,       nan,       nan,              58.72, 0.0000,    True,    True, {"ff_name": "FF_UK0039_20210929_031025_330_0797696.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,   0.000000,   0.000000,    99359.99,    88624.95,          0.014623,      3.73,     30.55,              49.96, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20210929_031025_805_0798976.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,     UK002N,       1,  0.030286, 2459486.632283020765,  80.19775,  11.36862,              143.71891,  45.14148,       143.57526,       45.17035,     80.19775,     +11.36862,      80.28238,      +11.43368,  2316776.69,  3409540.82,  4979387.19,      50.566372,       +0.076485,   98797.03,  138191.63,       0.00,              557.47,  -324.95,      0.00,           46207.28,    247.58,    -56.98,         379.20,  +5.91,  +5.21
  1,     UK002N,       0,  0.111482, 2459486.632283960469,  81.21220,  10.24951,              143.02383,  43.72761,       143.01711,       43.72896,     81.21220,     +10.24951,      81.21670,      +10.25261,  2314409.94,  3408826.40,  4976294.33,      50.562112,       +0.097784,   95188.15,  136533.32,    3959.51,             4516.98,    32.23,  48764.86,           46207.28,     11.70,     -2.71,          18.15,  +2.23,  +1.55
  2,     UK002N,       0,  0.152006, 2459486.632284429390,  81.61193,   9.74227,              142.79084,  43.10824,       142.78636,       43.10914,     81.61193,      +9.74227,      81.61528,       +9.74436,  2313410.05,  3408524.58,  4974987.68,      50.560309,       +0.106762,   93663.60,  135860.36,    5632.29,             6189.76,   -92.88,  41278.71,           46207.28,      7.84,     -1.82,          12.21,  +2.66,  +1.99
  3,     UK002N,       0,  0.192610, 2459486.632284899708,  82.07281,   9.16451,              142.52214,  42.40003,       142.52724,       42.39901,     82.07281,      +9.16451,      82.07050,       +9.16211,  2312277.67,  3408182.77,  4973507.90,      50.558266,       +0.116957,   91937.11,  135119.72,    7526.73,             8084.19,     0.12,  46656.38,           46207.28,     -8.95,      2.08,          14.03,  +2.55,  +1.90
  4,     UK002N,       0,  0.233198, 2459486.632285369094,  82.51211,   8.59399,              142.27992,  41.70610,       142.28032,       41.70602,     82.51211,      +8.59399,      82.51283,       +8.59379,  2311185.06,  3407852.95,  4972080.08,      50.556293,       +0.126792,   90271.32,  134426.23,    9354.63,             9912.10,    27.31,  45035.64,           45907.53,     -0.71,      0.17,           1.12,  +2.05,  +1.41
  5,     UK002N,       0,  0.273754, 2459486.632285838481,  82.96111,   8.07214,              142.00418,  41.05274,       142.04966,       41.04364,     82.96111,      +8.07214,      82.93391,       +8.05042,  2310151.56,  3407540.98,  4970729.50,      50.554424,       +0.136090,   88695.71,  133789.51,   11083.65,            11641.12,   -42.97,  42632.94,           45424.54,    -80.71,     18.75,         127.75,  +2.48,  +1.85
  6,     UK002N,       1,  0.314206, 2459486.632286306936,  83.31981,   7.64389,              141.79247,  40.51986,       141.86653,       40.50505,     83.31981,      +7.64389,      83.27464,       +7.60829,  2309318.18,  3407289.42,  4969640.45,      50.552917,       +0.143558,   87425.22,  133289.03,   12477.87,            13035.33,  -443.45,  34465.81,           44238.45,   -131.92,     30.69,         209.60,  +5.62,  +5.00
  0,     UK0039,       1,  0.220551, 2459486.632285230327,  69.55210,   3.80787,              161.14590,  40.89988,       161.96144,       40.65027,     69.55210,      +3.80787,      68.99580,       +3.44118,  2312603.20,  3408281.03,  4973933.30,      50.558854,       +0.113858,   92433.35,  140520.49,       0.00,             7539.59, -1784.12,      0.00,           43730.06,  -1620.64,   -205.76,        2398.03,  +2.50,  +1.76
  1,     UK0039,       1,  0.261355, 2459486.632285702508,  69.86519,   3.34215,              160.86740,  40.38038,       161.69210,       40.12828,     69.86519,      +3.34215,      69.29926,       +2.96910,  2311692.88,  3408006.24,  4972743.70,      50.557210,       +0.122021,   91045.43,  139871.18,    1522.94,             9062.53, -2071.49,  37323.27,           43730.06,  -1641.95,   -208.40,        2440.82,  +3.35,  +2.62
  2,     UK0039,       1,  0.302427, 2459486.632286177948,  70.24736,   2.71939,              160.54732,  39.69232,       161.34633,       39.44847,     70.24736,      +2.71939,      69.69472,       +2.35525,  2310521.77,  3407652.74,  4971213.30,      50.555094,       +0.132575,   89259.99,  139056.60,    3482.17,            11021.76, -1934.45,  47702.35,           43730.06,  -1594.83,   -202.73,        2384.72,  +2.98,  +2.26
  3,     UK0039,       1,  0.343435, 2459486.632286652457,  70.61380,   2.13206,              160.24321,  39.04138,       161.02509,       38.80311,     70.61380,      +2.13206,      70.06903,       +1.77318,  2309423.86,  3407321.32,  4969778.55,      50.553108,       +0.142464,   87586.22,  138313.47,    5318.94,            12858.53, -1917.04,  44790.58,           43730.06,  -1564.42,   -199.08,        2351.86,  +2.93,  +2.23
  4,     UK0039,       1,  0.384355, 2459486.632287126034,  70.97484,   1.59284,              159.93790,  38.43785,       160.72939,       38.19696,     70.97484,      +1.59284,      70.41963,       +1.22706,  2308404.35,  3407013.58,  4968446.25,      50.551262,       +0.151639,   86032.02,  137641.43,    7024.56,            14564.15, -2026.87,  41681.79,           43559.32,  -1587.28,   -201.92,        2397.86,  +3.29,  +2.60
  0,     UK003N,       0,  0.000000, 2459486.632282677572,  63.56400,  13.68358,              167.34387,  51.89419,       167.35149,       51.89183,     63.56400,     +13.68358,      63.55955,      +13.68059,  2317145.87,  3409652.26,  4979869.63,      50.567036,       +0.073235,   99359.99,  125545.04,       0.00,               60.15,   521.39,      0.00,           41119.35,    -11.44,     -1.40,          18.94,  +5.08,  +4.59
  1,     UK003N,       1,  0.040344, 2459486.632283144630,  63.96432,  13.15072,              166.84677,  51.31088,       166.88619,       51.29876,     63.96432,     +13.15072,      63.94127,      +13.13513,  2316069.34,  3409327.31,  4978462.83,      50.565100,       +0.082905,   97718.42,  124470.52,    1801.00,             1740.84,   412.18,  44640.98,           41119.35,    -59.23,     -7.22,          98.88,  +5.69,  +5.21
  2,     UK003N,       0,  0.080692, 2459486.632283611689,  64.31515,  12.62495,              166.43313,  50.74018,       166.45544,       50.73334,     64.31515,     +12.62495,      64.30223,      +12.61607,  2315062.75,  3409023.46,  4977147.42,      50.563288,       +0.091939,   96183.54,  123480.86,    3485.00,             3424.85,   306.11,  41737.01,           41119.35,    -33.56,     -4.10,          56.48,  +2.75,  +2.29
  3,     UK003N,       0,  0.121008, 2459486.632284078281,  64.62327,  12.15247,              166.07877,  50.22737,       166.08026,       50.22691,     64.62327,     +12.15247,      64.62288,      +12.15187,  2314176.64,  3408755.98,  4975989.46,      50.561691,       +0.099875,   94832.44,  122621.87,    4967.42,             4907.27,    -0.13,  36770.10,           41119.35,     -2.25,     -0.27,           3.81,  +1.95,  +1.51
  4,     UK003N,       0,  0.161368, 2459486.632284545340,  64.97736,  11.61219,              165.67807,  49.63963,       165.65921,       49.64538,     64.97736,     +11.61219,      64.98941,      +11.61980,  2313176.81,  3408454.18,  4974682.89,      50.559889,       +0.108855,   93307.98,  121667.13,    6640.11,             6579.96,  -118.05,  41444.21,           40770.21,     28.46,      3.48,          48.60,  +2.01,  +1.58
  5,     UK003N,       0,  0.201804, 2459486.632285013329,  65.41735,  10.96404,              165.18476,  48.93060,       165.16036,       48.93802,     65.41735,     +10.96404,      65.43307,      +10.97398,  2311984.95,  3408094.40,  4973125.36,      50.557738,       +0.119596,   91490.81,  120549.68,    8634.07,             8573.92,    81.93,  49311.51,           41893.70,     36.89,      4.52,          63.60,  +1.74,  +1.33
  6,     UK003N,       0,  0.242176, 2459486.632285480388,  65.79960,  10.40601,              164.76374,  48.31818,       164.74156,       48.32491,     65.79960,     +10.40601,      65.81425,      +10.41511,  2310971.79,  3407788.58,  4971801.38,      50.555907,       +0.128705,   89946.18,  119617.27,   10329.04,            10268.89,   -14.23,  41983.83,           42304.17,     33.59,      4.11,          58.36,  +2.09,  +1.70
  7,     UK003N,       0,  0.282480, 2459486.632285946980,  66.16003,   9.94191,              164.35819,  47.80071,       164.38745,       47.79185,     66.16003,      +9.94191,      66.14309,       +9.92982,  2310105.16,  3407526.98,  4970668.86,      50.554340,       +0.136476,   88624.95,  118832.64,   11778.90,            11718.75,  -352.50,  35973.09,           41948.27,    -44.39,     -5.42,          77.61,  +2.64,  +2.27

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.