Orbital Analysis for matched events on 20210813_004619.065_UK

Summary for Event
-----------------
shower ID 704 OAN
Lg 354.17° Bg 44.06° Vg 39.37km/s
mass 0.08356g, abs. mag -1.4
Path Details
------------
start 2.88° 51.58° 88.57km
end   2.89° 51.60° 78.82km

Orbit Details
-------------
Semimajor axis 3.54A.U., eccentricity 0.83, inclination 63.58°, Period 6.65Y, LA Sun 140.22°, last Perihelion 2015-01-31

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: 2459439.532165114302
Time: 2021-08-13 00:46:19.065876 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 16.29331 deg
 R.A. = 350.42364  Dec = +39.92997 deg
Intersection 2 - Stations: UK000C and UK0032
 Convergence angle = 44.83437 deg
 R.A. = 332.98081  Dec = +38.11153 deg
Intersection 3 - Stations: UK002F and UK0032
 Convergence angle = 29.20408 deg
 R.A. = 324.06241  Dec = +41.88540 deg

Best intersection: Stations UK000C and UK0032 with Qconv = 44.83 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3682452.02 +/- 280.58 m
 Y =  -1628297.34 +/- 122.46 m
 Z =   5043453.90 +/- 123.45 m
 Vx =    29162.78 +/- 1855.98 m/s
 Vy =   -13855.37 +/- 544.18 m/s
 Vz =    25123.58 +/- 1339.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.686140e+04, +2.809667e+04, +1.400629e+04, +4.551028e+05, +7.489857e+04, +1.308074e+05
+2.809667e+04, +1.674779e+04, -1.307588e+03, +1.730262e+05, +7.976201e+04, +8.999539e+03
+1.400629e+04, -1.307588e+03, +1.545236e+04, +5.790890e+04, -2.187517e+04, +8.610888e+04
+4.551028e+05, +1.730262e+05, +5.790890e+04, +3.091022e+06, +8.389968e+05, +7.353888e+05
+7.489857e+04, +7.976201e+04, -2.187517e+04, +8.389968e+05, +6.596461e+05, -7.923278e+04
+1.308074e+05, +8.999539e+03, +8.610888e+04, +7.353888e+05, -7.923278e+04, +6.098255e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: 0.000266 s
    UK0032: 0.000422 s

Reference point on the trajectory:
  Time: 2021-08-13 00:46:19.065876 UTC
  Lon     = ++2.884858 +/- 0.0030 deg
  Lat     = +51.583187 +/- 0.0014 deg
  Lat geo = +51.398250 +/- 0.0014 deg
  Ht      =   88448.50 +/- 203.39 m

  JD dynamic   = 2459439.532965855207 
  LST apparent = 336.1460651806 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 334.58739 +/- 2.2742 deg
  Dec       = +37.88781 +/- 0.8832 deg
  Azimuth   = 185.18587 +/- 7.7899 deg
  Elevation = +76.26078 +/- 0.7001 deg
  Vavg      =  39.33774 +/- 0.4173 km/s
  Vinit     =  40.91006 +/- 1.3721 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 335.10835 +/- 2.2742 deg
  Dec       = +37.89353 +/- 0.8832 deg
  Azimuth   = 183.45738 +/- 7.7899 deg
  Elevation = +76.29089 +/- 0.7001 deg
  Vavg      =  39.33249 +/- 0.4173 km/s
  Vinit     =  40.90481 +/- 1.3721 km/s
Radiant (geocentric, J2000):
  R.A.   = 334.32652 +/- 2.3075 deg
  Dec    = +37.51892 +/- 0.8928 deg
  Vg     =  39.37140 +/- 1.4261 km/s
  Vinf   =  40.91006 +/- 1.3721 km/s
  Zc     =  13.55505 +/- 0.6974 deg
  Zg     =  13.81606 +/- 0.7056 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 354.16641 +/- 1.7945 deg
  Bg     = +44.06332 +/- 1.5872 deg
  Vh     =  38.73283 +/- 0.7678 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 290.45110 +/- 3.6368 deg
  Bh     = +44.98566 +/- 0.7475 deg
  Vh_x   =  -9.57206 +/- 1.6792 km/s
  Vh_y   =  25.66841 +/- 0.7084 km/s
  Vh_z   = -27.38139 +/- 0.8290 km/s
Orbit:
  La Sun = 140.219385 +/- nan deg
  a      =   3.536319 +/- 1.9261 AU
  e      =   0.833145 +/- 0.0401
  i      =  63.582547 +/- 2.7106 deg
  peri   = 265.346866 +/- 4.1440 deg
  node   = 140.222143 +/- 0.0002 deg
  Pi     =  45.569010 +/- 4.1439 deg
  q      =   0.590052 +/- 0.0302 AU
  f      = 274.649257 +/- 4.1440 deg
  M      = 353.560322 +/- 2.0569 deg
  Q      =   6.482585 +/- 3.8403 AU
  n      =   0.148210 +/- 0.0460 deg/day
  T      =   6.650093 +/- 6.9921 years
  Last perihelion JD = 2457053.993940 (2015-01-31 11:51:16.453292) +/- 2555.1221 days
  Tj     =   1.877324 +/- 0.3629
Shower association:
  IAU No.  =  704
  IAU code =  OAN

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.714926e-03, +2.569513e-04, -1.009054e+02, -7.107112e-08, -1.445300e-03, +9.083284e-04
q   , +2.569513e-04, +1.001578e-03, -3.133961e+01, +8.521974e-08, -2.287637e-03, -1.109237e-03
Tp  , -1.009054e+02, -3.133961e+01, +6.753745e+06, +2.408639e-03, +1.191033e+02, -2.995480e+01
node, -7.107112e-08, +8.521974e-08, +2.408639e-03, +1.483414e-11, -1.457521e-07, -1.923537e-07
peri, -1.445300e-03, -2.287637e-03, +1.191033e+02, -1.457521e-07, +5.674201e-03, +1.904543e-03
i   , +9.083284e-04, -1.109237e-03, -2.995480e+01, -1.923537e-07, +1.904543e-03, +2.495507e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000443
 a2 = 51.390965

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 7.510e-06 s
  Stddev    = 2.74e-03 s

Begin point on the trajectory:
  Lon =     2.884821 +/- 0.0031 deg
  Lat =    51.582933 +/- 0.0012 deg
  Ht  = 88566.13 +/- 46.07 m
End point on the trajectory:
  Lon =     2.886882 +/- 0.0026 deg
  Lat =    51.604007 +/- 0.0007 deg
  Ht  = 78817.98 +/- 32.35 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    88566.13,    78817.98,          0.024139,     39.71,    105.99,              73.85, 0.9227,    True,    True, {"ff_name": "FF_UK000C_20210813_004614_795_0414464.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    83867.41,    79627.97,          0.033724,     23.42,    177.42,              72.43, 0.9089,    True,    True, {"ff_name": "FF_UK002F_20210813_004610_891_0379392.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   9.741053,   0.000000,    86817.88,    78931.14,          0.017323,     35.25,     72.20,              62.94, 0.7931,    True,    True, {"ff_name": "FF_UK0032_20210813_004618_341_0411648.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,     UK000C,       0,  0.000000, 2459439.532165114302,  58.19567,  19.76720,               80.55544,  17.95986,        80.52983,       17.96596,     58.19567,     +19.76720,      58.21056,      +19.78778,  3682538.34, -1628338.35,  5043528.27,      51.582933,       +2.884821,   88566.13,  270384.72,       0.00,              121.09,     0.39,      0.00,           42580.51,   -110.99,     41.54,          90.41,  +3.40,  +1.24
  1,     UK000C,       0,  0.120908, 2459439.532166513614,  59.13651,  19.20821,               80.23595,  16.95674,        80.26245,       16.95043,     59.13651,     +19.20821,      59.12066,      +19.18688,  3678869.71, -1626595.37,  5040367.77,      51.593732,       +2.885889,   83567.01,  268902.13,    5146.42,             5025.32,   -41.73,  42564.73,           42580.51,    114.77,    -43.08,          94.04,  +1.80,  -0.35
  2,     UK000C,       0,  0.161208, 2459439.532166980207,  59.43420,  19.00187,               80.15395,  16.61683,        80.17403,       16.61205,     59.43420,     +19.00187,      59.42235,      +18.98571,  3677656.33, -1626018.88,  5039322.44,      51.597308,       +2.886242,   81913.59,  268431.59,    6848.58,             6727.48,    11.75,  42237.22,           42580.51,     86.95,    -32.63,          71.36,  +0.54,  -1.60
  3,     UK000C,       0,  0.201516, 2459439.532167446800,  59.71983,  18.76446,               80.10148,  16.26064,        80.08365,       16.26488,     59.71983,     +18.76446,      59.73108,      +18.77882,  3676416.00, -1625429.60,  5038253.91,      51.600964,       +2.886607,   80223.48,  267961.17,    8588.53,             8467.43,   102.70,  43166.34,           42580.51,    -77.22,     28.92,          63.47,  +0.33,  -1.81
  4,     UK000C,       0,  0.241772, 2459439.532167912461,  59.96905,  18.58161,               80.03868,  15.96817,        80.00844,       15.97537,     59.96905,     +18.58161,      59.98803,      +18.60597,  3675384.56, -1624939.56,  5037365.33,      51.604007,       +2.886882,   78817.98,  267576.10,   10035.45,             9914.36,   -97.25,  35943.13,           41859.04,   -130.97,     49.02,         107.80,  +1.67,  -0.47
  0,     UK002F,       0,  0.104241, 2459439.532166207675,  49.18293,   8.60508,               94.72020,  14.63416,        94.70958,       14.63680,     49.18293,      +8.60508,      49.18941,       +8.61355,  3679090.15, -1626700.10,  5040557.68,      51.593083,       +2.885905,   83867.41,  304950.03,       0.00,             4716.09,   330.88,      0.00,           36753.93,    -56.01,      7.42,          38.22,  +3.95,  +1.53
  1,     UK002F,       0,  0.144433, 2459439.532166672871,  49.36194,   8.46530,               94.66685,  14.41459,        94.65178,       14.41833,     49.36194,      +8.46530,      49.37131,       +8.47731,  3678191.79, -1626273.28,  5039783.74,      51.595730,       +2.886123,   82643.24,  304564.20,    1260.24,             5976.33,   -53.13,  31355.51,           36753.93,    -79.41,     10.52,          54.25,  +1.80,  -0.62
  2,     UK002F,       0,  0.184689, 2459439.532167138997,  49.57893,   8.24555,               94.63437,  14.10900,        94.57405,       14.12397,     49.57893,      +8.24555,      49.61615,       +8.29366,  3676985.89, -1625700.36,  5038744.86,      51.599284,       +2.886473,   81000.03,  304057.56,    2951.90,             7667.98,    -8.35,  42022.48,           36753.93,   -317.72,     41.91,         217.40,  +0.72,  -1.69
  3,     UK002F,       0,  0.224913, 2459439.532167604193,  49.80597,   8.12089,               94.53282,  13.87165,        94.50915,       13.87753,     49.80597,      +8.12089,      49.82096,       +8.13978,  3675978.99, -1625221.97,  5037877.42,      51.602253,       +2.886738,   79627.97,  303639.26,    4364.40,             9080.48,  -241.42,  35115.85,           36753.93,   -124.61,     16.49,          85.39,  +1.00,  -1.41
  0,     UK0032,       0,  0.036209, 2459439.532165463548,  23.18872,  -5.78938,              126.90303,  17.74970,       126.91524,       17.74706,     23.18872,      -5.78938,      23.17951,       -5.79732,  3681255.38, -1627728.81,  5042423.01,      51.586708,       +2.885244,   86817.88,  268246.59,       0.00,             1678.67,    76.65,      0.00,           40552.55,     50.18,     24.50,          42.94,  +3.44,  +1.30
  1,     UK0032,       0,  0.076425, 2459439.532165929209,  23.34821,  -6.00701,              126.86792,  17.48247,       126.85446,       17.48538,     23.34821,      -6.00701,      23.35798,       -5.99825,  3680248.27, -1627250.33,  5041555.39,      51.589672,       +2.885508,   85445.52,  267594.86,    1412.79,             3091.45,  -155.81,  35129.97,           40552.55,    -55.23,    -27.00,          47.39,  +2.36,  +0.22
  2,     UK0032,       0,  0.116701, 2459439.532166395336,  23.59116,  -6.23521,              126.76247,  17.16577,       126.77928,       17.16213,     23.59116,      -6.23521,      23.57887,       -6.24619,  3679011.57, -1626662.77,  5040489.98,      51.593314,       +2.885871,   83760.32,  266804.56,    3147.65,             4826.32,   -68.64,  43074.37,           40552.55,     68.95,     33.66,          59.32,  +1.23,  -0.90
  3,     UK0032,       0,  0.156973, 2459439.532166861463,  23.80931,  -6.48319,              126.69017,  16.84372,       126.70478,       16.84056,     23.80931,      -6.48319,      23.79879,       -6.49274,  3677788.54, -1626081.70,  5039436.34,      51.596918,       +2.886228,   82093.75,  266031.71,    4863.34,             6542.01,    -0.47,  42602.66,           40552.55,     59.78,     29.19,          51.58,  +0.86,  -1.26
  4,     UK0032,       0,  0.197253, 2459439.532167327590,  24.03863,  -6.73979,              126.61262,  16.50873,       126.62737,       16.50554,     24.03863,      -6.73979,      24.02816,       -6.74946,  3676522.04, -1625479.98,  5038345.26,      51.600652,       +2.886604,   80367.96,  265241.03,    6640.02,             8318.69,   128.34,  44108.07,           41553.15,     60.32,     29.46,          52.20,  +0.71,  -1.41
  5,     UK0032,       0,  0.237489, 2459439.532167793252,  24.24071,  -6.94546,              126.53436,  16.23139,       126.56306,       16.22518,     24.24071,      -6.94546,      24.22009,       -6.96431,  3675467.60, -1624979.01,  5037436.86,      51.603762,       +2.886889,   78931.14,  264588.58,    8119.20,             9797.87,   -38.53,  36762.76,           41155.02,    117.23,     57.21,         101.69,  +1.30,  -0.81

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.