Orbital Analysis for matched events on 20210810_003200.233_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 104.37° Bg 67.07° Vg 31.57km/s
mass 0.03283g, abs. mag 0.9
Path Details
------------
start 0.06° 50.47° 95.80km
end   0.07° 50.38° 84.01km

Orbit Details
-------------
Semimajor axis 3.07A.U., eccentricity 0.70, inclination 52.03°, Period 5.39Y, LA Sun 137.33°, last Perihelion 2021-07-13

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: 2459436.522224924993
Time: 2021-08-10 00:32:00.233519 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002N
 Convergence angle = 72.44657 deg
 R.A. = 348.88796  Dec = +25.37153 deg

Best intersection: Stations UK002B and UK002N with Qconv = 72.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3453559.75 +/- 6597.94 m
 Y =  -2262064.30 +/- 1193.65 m
 Z =   4970441.75 +/- 2729.35 m
 Vx =    -2638.99 +/- 13329.16 m/s
 Vy =    -1052.73 +/- 2510.75 m/s
 Vz =    33350.27 +/- 27571.11 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.883513e+07, -7.012819e+06, +8.442213e+06, +8.457969e+06, -3.736802e+06, +6.207573e+07
-7.012819e+06, +1.283145e+06, -1.761439e+06, -1.479081e+06, +7.143511e+05, -1.202905e+07
+8.442213e+06, -1.761439e+06, +6.900546e+06, +2.027788e+06, -1.573409e+06, +3.202614e+07
+8.457969e+06, -1.479081e+06, +2.027788e+06, +2.233844e+07, -3.961846e+06, +1.057646e+07
-3.736802e+06, +7.143511e+05, -1.573409e+06, -3.961846e+06, +9.927201e+05, -8.166509e+06
+6.207573e+07, -1.202905e+07, +3.202614e+07, +1.057646e+07, -8.166509e+06, +1.706581e+08

Timing offsets (from input data):
    UK002B: -0.003210 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:32:00.233519 UTC
  Lon     = ++0.059326 +/- 0.0123 deg
  Lat     = +50.473281 +/- 0.0130 deg
  Lat geo = +50.287045 +/- 0.0130 deg
  Ht      =   95867.94 +/- 1575.20 m

  JD dynamic   = 2459436.523025665898 
  LST apparent = 326.7754024532 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 201.74775 +/- 72.3820 deg
  Dec       = +85.13055 +/- 9.0600 deg
  Azimuth   = 354.09197 +/- 12.9021 deg
  Elevation = +47.52189 +/- 13.8203 deg
  Vavg      =  32.71016 +/- 2.0565 km/s
  Vinit     =  33.47108 +/- 14.0601 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 197.93774 +/- 72.3820 deg
  Dec       = +85.54146 +/- 9.0600 deg
  Azimuth   = 354.85203 +/- 12.9021 deg
  Elevation = +47.55852 +/- 13.8203 deg
  Vavg      =  32.69058 +/- 2.0565 km/s
  Vinit     =  33.45150 +/- 14.0601 km/s
Radiant (geocentric, J2000):
  R.A.   = 191.67175 +/- 77.8936 deg
  Dec    = +84.33085 +/- 9.4774 deg
  Vg     =  31.57431 +/- 2.1361 km/s
  Vinf   =  33.47108 +/- 2.0340 km/s
  Zc     =  42.66336 +/- 13.8265 deg
  Zg     =  43.96826 +/- 14.2868 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.37486 +/- 34.1597 deg
  Bg     = +67.06602 +/- 5.1536 deg
  Vh     =  38.23050 +/- 2.9170 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 203.47043 +/- 18.3583 deg
  Bh     = +49.52061 +/- 10.3935 deg
  Vh_x   =  22.76494 +/- 9.3061 km/s
  Vh_y   =   9.88451 +/- 1.0261 km/s
  Vh_z   = -29.07962 +/- 2.0111 km/s
Orbit:
  La Sun = 137.330461 +/- nan deg
  a      =   3.073617 +/- 3.2028 AU
  e      =   0.697934 +/- 0.2485
  i      =  52.028067 +/- 8.9793 deg
  peri   = 142.675987 +/- 25.2180 deg
  node   = 137.334133 +/- 0.0008 deg
  Pi     = 280.010121 +/- 25.2172 deg
  q      =   0.928434 +/- 0.0569 AU
  f      =  37.319428 +/- 25.2176 deg
  M      =   5.047753 +/- nan deg
  Q      =   5.218800 +/- 6.3739 AU
  n      =   0.182907 +/- 0.1246 deg/day
  T      =   5.388592 +/- 339934632.8691 years
  Last perihelion JD = 2459408.925592 (2021-07-13 10:12:51.109785) +/- 369.8895 days
  Tj     =   2.370467 +/- 1.2173
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.545555e-02, -4.063976e-03, +2.749561e+01, +1.180179e-06, -4.125415e-02, -1.366372e-02
q   , -4.063976e-03, +1.150396e-03, -5.841101e+00, -3.047316e-07, +9.986219e-03, +3.469528e-03
Tp  , +2.749561e+01, -5.841101e+00, +1.158397e+05, +2.871570e-03, -1.256430e+02, -3.533228e+01
node, +1.180179e-06, -3.047316e-07, +2.871570e-03, +1.017300e-10, -3.807907e-06, -1.199160e-06
peri, -4.125415e-02, +9.986219e-03, -1.256430e+02, -3.807907e-06, +1.534622e-01, +4.577771e-02
i   , -1.366372e-02, +3.469528e-03, -3.533228e+01, -1.199160e-06, +4.577771e-02, +1.421110e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000202
 a2 = 29.418288

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 3.805e-05 s
  Stddev    = 6.17e-03 s

Begin point on the trajectory:
  Lon =     0.059411 +/- 0.0123 deg
  Lat =    50.472757 +/- 0.0127 deg
  Ht  = 95802.96 +/- 1573.79 m
End point on the trajectory:
  Lon =     0.072822 +/- 0.0139 deg
  Lat =    50.377355 +/- 0.0151 deg
  Ht  = 84005.52 +/- 1466.32 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,    95123.52,    84558.61,          0.028024,     42.75,     55.81,              50.33, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210810_003152_597_0385792.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,  52.643317,    95802.96,    84005.52,          0.025111,     49.27,     37.83,              59.43, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210810_003154_449_0386560.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,     UK002B,       0,  0.025411, 2459436.522225327790,  14.47417,  19.71334,              110.37640,  40.59385,       110.44138,       40.63285,     14.47417,     +19.71334,      14.40753,      +19.71263,  3453639.34, -2262032.56,  4969436.02,      50.467275,       +0.060155,   95123.52,  144609.61,       0.00,             1009.38,    70.97,      0.00,           35443.78,   -126.00,     96.47,         226.35,  +4.21,  +3.41
  1,     UK002B,       0,  0.065511, 2459436.522225792054,  14.43662,  19.32166,              110.73569,  40.31115,       110.76294,       40.32745,     14.43662,     +19.32166,      14.40894,      +19.32137,  3453720.00, -2262000.38,  4968416.64,      50.461187,       +0.060974,   94369.06,  144341.81,    1023.07,             2032.45,  -248.15,  25513.06,           35443.78,    -52.82,     40.47,          95.08,  +2.90,  +2.10
  2,     UK002B,       0,  0.105711, 2459436.522226257250,  14.43286,  18.70816,              111.23956,  39.83394,       111.25943,       39.84578,     14.43286,     +18.70816,      14.41295,      +18.70795,  3453845.74, -2261950.22,  4966827.57,      50.451693,       +0.062345,   93193.10,  143942.54,    2617.91,             3627.28,     1.15,  39672.42,           35443.78,    -38.51,     29.51,          69.52,  +4.05,  +3.26
  3,     UK002B,       0,  0.145927, 2459436.522226722911,  14.44261,  18.09076,              111.72654,  39.34359,       111.75219,       39.35881,     14.44261,     +18.09076,      14.41696,      +18.09048,  3453971.63, -2261900.00,  4965236.67,      50.442185,       +0.063717,   92015.96,  143559.42,    4214.57,             5223.94,   251.73,  39702.12,           35443.78,    -49.73,     38.10,          90.01,  +3.12,  +2.33
  4,     UK002B,       0,  0.186031, 2459436.522227186710,  14.42549,  17.72967,              112.03023,  39.06923,       112.03840,       39.07406,     14.42549,     +17.72967,      14.41794,      +17.72958,  3454044.99, -2261870.73,  4964309.51,      50.436642,       +0.064447,   91329.98,  143340.32,    5145.08,             6154.45,  -160.08,  23202.52,           33566.77,    -15.82,     12.13,          28.69,  +2.47,  +1.69
  5,     UK002B,       0,  0.226195, 2459436.522227651905,  14.43844,  17.27786,              112.37373,  38.70482,       112.39273,       38.71603,     14.43844,     +17.27786,      14.41996,      +17.27765,  3454136.50, -2261834.23,  4963153.10,      50.429727,       +0.065398,   90474.47,  143077.12,    6305.68,             7315.06,  -343.81,  28896.55,           32362.99,    -36.84,     28.24,          66.92,  +3.68,  +2.90
  6,     UK002B,       0,  0.266435, 2459436.522228117567,  14.44184,  16.56786,              112.92280,  38.13996,       112.94043,       38.15031,     14.44184,     +16.56786,      14.42494,      +16.56767,  3454279.48, -2261777.19,  4961346.16,      50.418918,       +0.066979,   89137.92,  142688.60,    8119.17,             9128.55,   122.81,  45066.87,           33296.83,    -34.22,     26.23,          62.32,  +2.75,  +1.98
  7,     UK002B,       0,  0.306659, 2459436.522228583228,  14.46882,  15.95944,              113.36324,  37.63994,       113.40372,       37.66362,     14.46882,     +15.95944,      14.42870,      +15.95900,  3454401.49, -2261728.52,  4959804.31,      50.409691,       +0.068304,   87997.61,  142373.21,    9666.60,            10675.98,   323.90,  38470.30,           34117.52,    -78.60,     60.22,         143.45,  +1.51,  +0.74
  8,     UK002B,       0,  0.346779, 2459436.522229047492,  14.43956,  15.53746,              113.71161,  37.31988,       113.72212,       37.32601,     14.43956,     +15.53746,      14.43029,      +15.53735,  3454485.76, -2261694.91,  4958739.34,      50.403316,       +0.069167,   87210.03,  142162.11,   10735.43,            11744.80,    49.86,  26640.70,           34002.49,    -20.41,     15.65,          37.32,  +2.17,  +1.41
  9,     UK002B,       0,  0.386971, 2459436.522229512688,  14.45557,  14.99785,              114.10119,  36.87844,       114.12465,       36.89209,     14.45557,     +14.99785,      14.43321,      +14.99760,  3454593.22, -2261652.04,  4957381.26,      50.395184,       +0.070313,   86205.82,  141906.48,   12098.43,            13107.81,    67.60,  33912.37,           33939.01,    -45.60,     34.95,          83.52,  +2.89,  +2.13
 10,     UK002B,       0,  0.467263, 2459436.522230441682,  14.44197,  14.10846,              114.77211,  36.17097,       114.77907,       36.17500,     14.44197,     +14.10846,      14.43684,      +14.10838,  3454769.52, -2261581.71,  4955153.33,      50.381838,       +0.072134,   84558.61,  141511.39,   14334.43,            15343.81,  -383.86,  27848.38,           33306.97,    -13.55,     10.39,          24.88,  +5.05,  +4.30
  0,     UK002N,       0,  0.000000, 2459436.522224924993, 349.80354,   7.43783,              147.42217,  41.96090,       147.47897,       41.97403,    349.80354,      +7.43783,     349.75899,       +7.43584,  3453566.70, -2262061.53,  4970353.96,      50.472757,       +0.059411,   95802.96,  141875.80,       0.00,               88.11,     0.25,      0.00,           33626.23,    -66.74,    -86.83,         159.22,  +5.18,  +4.42
  1,     UK002N,       0,  0.080860, 2459436.522225860972, 349.82755,   6.39314,              147.86256,  40.96941,       147.90073,       40.97821,    349.82755,      +6.39314,     349.79760,       +6.39179,  3453770.97, -2261980.05,  4967772.49,      50.457339,       +0.061573,   93892.35,  141740.79,    2590.83,             2678.94,  -115.40,  32040.92,           33626.23,    -45.41,    -59.11,         108.47,  +2.47,  +1.71
  2,     UK002N,       0,  0.121352, 2459436.522226329427, 349.84738,   5.80235,              148.09802,  40.40590,       148.13301,       40.41395,    349.84738,      +5.80235,     349.81994,       +5.80110,  3453886.38, -2261934.01,  4966313.95,      50.448624,       +0.062816,   92813.04,  141685.97,    4054.65,             4142.76,    -6.89,  36150.87,           33626.23,    -41.93,    -54.59,         100.20,  +2.73,  +1.97
  3,     UK002N,       0,  0.202264, 2459436.522227265872, 349.87570,   4.70076,              148.53711,  39.35672,       148.55652,       39.36118,    349.87570,      +4.70076,     349.86085,       +4.70006,  3454101.33, -2261848.26,  4963597.55,      50.432385,       +0.065107,   90803.28,  141623.43,    6780.89,             6869.00,    11.14,  33693.93,           33626.23,    -23.56,    -30.69,          56.35,  +2.46,  +1.70
  4,     UK002N,       0,  0.242708, 2459436.522227734327, 349.90720,   4.17467,              148.72037,  38.84924,       148.75483,       38.85716,    349.90720,      +4.17467,     349.88018,       +4.17342,  3454204.10, -2261807.27,  4962298.86,      50.424617,       +0.066195,   89842.59,  141611.82,    8084.28,             8172.39,   -39.17,  32226.98,           33524.79,    -42.12,    -54.86,         100.75,  +2.00,  +1.24
  5,     UK002N,       0,  0.283160, 2459436.522228202317, 349.91371,   3.62698,              148.93998,  38.32910,       148.95768,       38.33316,    349.91371,      +3.62698,     349.90041,       +3.62633,  3454310.84, -2261764.68,  4960949.86,      50.416546,       +0.067332,   88844.80,  141612.63,    9438.17,             9526.27,   -39.26,  33468.92,           33485.45,    -21.77,    -28.36,          52.07,  +1.65,  +0.89
  6,     UK002N,       0,  0.323600, 2459436.522228670307, 349.94671,   3.10439,              149.11452,  37.82382,       149.14918,       37.83177,    349.94671,      +3.10439,     349.91954,       +3.10311,  3454412.94, -2261723.95,  4959659.60,      50.408825,       +0.068412,   87890.55,  141625.28,   10733.10,            10821.21,   -97.89,  32021.18,           33363.35,    -42.90,    -55.89,         102.61,  +1.95,  +1.19
  7,     UK002N,       0,  0.364072, 2459436.522229138762, 349.95752,   2.53539,              149.33170,  37.28139,       149.35387,       37.28647,    349.95752,      +2.53539,     349.94069,       +2.53457,  3454523.91, -2261679.69,  4958257.19,      50.400429,       +0.069601,   86853.49,  141652.85,   12140.59,            12228.70,   -45.04,  34776.92,           33386.49,    -27.63,    -36.00,          66.08,  +1.79,  +1.03
  8,     UK002N,       0,  0.404568, 2459436.522229607683, 349.96274,   1.93739,              149.56385,  36.71284,       149.56546,       36.71321,    349.96274,      +1.93739,     349.96309,       +1.93733,  3454640.54, -2261633.16,  4956783.26,      50.391603,       +0.070858,   85763.68,  141697.11,   13619.86,            13707.97,    78.78,  36528.72,           33553.85,     -2.02,     -2.63,           4.82,  +2.20,  +1.44
  9,     UK002N,       0,  0.444984, 2459436.522230075207, 349.99663,   1.44251,              149.71862,  36.23266,       149.73955,       36.23745,    349.99663,      +1.44251,     349.98095,       +1.44172,  3454737.39, -2261594.53,  4955559.31,      50.384271,       +0.071874,   84858.78,  141744.75,   14848.25,            14936.36,   -45.60,  30393.65,           33516.90,    -26.43,    -34.45,          63.18,  +3.62,  +2.86
 10,     UK002N,       0,  0.485364, 2459436.522230542731, 349.97100,   0.97360,              149.93106,  35.79562,       149.90197,       35.78898,    349.97100,      +0.97360,     349.99752,       +0.97469,  3454828.73, -2261558.09,  4954405.10,      50.377355,       +0.072822,   84005.52,  141799.11,   16006.63,            16094.74,  -238.78,  28687.07,           33320.76,     36.90,     48.16,          88.25,  +4.47,  +3.71

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.