Orbital Analysis for matched events on 20210813_234012.319_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 0.02° Bg 80.44° Vg 28.65km/s
mass 0.07849g, abs. mag -0.6
Path Details
------------
start -0.83° 52.80° 96.95km
end   -0.81° 52.78° 86.16km

Orbit Details
-------------
Semimajor axis 3.71A.U., eccentricity 0.73, inclination 46.93°, Period 7.15Y, LA Sun 141.14°, last Perihelion 2014-07-02

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: 2459440.486253702547
Time: 2021-08-13 23:40:12.319900 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 27.64143 deg
 R.A. = 295.65788  Dec = +63.90632 deg

Best intersection: Stations UK000C and UK002F with Qconv = 27.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2861812.16 +/- 44.67 m
 Y =  -2683595.40 +/- 117.84 m
 Z =   5134200.80 +/- 362.59 m
 Vx =     5405.34 +/- 561.72 m/s
 Vy =   -12070.53 +/- 392.25 m/s
 Vz =    27738.51 +/- 1656.49 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.085247e+03, -1.783462e+03, +3.761393e+03, +6.775276e+03, -3.036957e+03, +7.097449e+02
-1.783462e+03, +1.156771e+04, +2.242450e+04, -6.331824e+03, +3.569097e+04, +1.265798e+05
+3.761393e+03, +2.242450e+04, +1.193352e+05, -2.309265e+03, +9.212812e+04, +4.395383e+05
+6.775276e+03, -6.331824e+03, -2.309265e+03, +4.568640e+04, -3.823882e+04, -4.587994e+04
-3.036957e+03, +3.569097e+04, +9.212812e+04, -3.823882e+04, +1.671962e+05, +4.485097e+05
+7.097449e+02, +1.265798e+05, +4.395383e+05, -4.587994e+04, +4.485097e+05, +2.110226e+06

Timing offsets (from input data):
    UK000C: -0.000716 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:40:12.319900 UTC
  Lon     = +-0.832755 +/- 0.0012 deg
  Lat     = +52.798031 +/- 0.0024 deg
  Lat geo = +52.615308 +/- 0.0024 deg
  Ht      =   96894.02 +/- 264.87 m

  JD dynamic   = 2459440.487054443453 
  LST apparent = 316.8407222516 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 294.12346 +/- 0.8409 deg
  Dec       = +64.50848 +/- 1.9731 deg
  Azimuth   = 324.09485 +/- 6.4551 deg
  Elevation = +73.53612 +/- 0.8788 deg
  Vavg      =  30.20806 +/- 0.9956 km/s
  Vinit     =  30.73012 +/- 1.3100 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 295.27617 +/- 0.8409 deg
  Dec       = +64.69022 +/- 1.9731 deg
  Azimuth   = 325.64887 +/- 6.4551 deg
  Elevation = +73.83093 +/- 0.8788 deg
  Vavg      =  30.16181 +/- 0.9956 km/s
  Vinit     =  30.68387 +/- 1.3100 km/s
Radiant (geocentric, J2000):
  R.A.   = 292.95299 +/- 1.0915 deg
  Dec    = +64.79210 +/- 2.0231 deg
  Vg     =  28.65254 +/- 1.4025 km/s
  Vinf   =  30.73012 +/- 1.3100 km/s
  Zc     =  16.61222 +/- 0.9057 deg
  Zg     =  17.19752 +/- 0.8941 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   0.01645 +/- 11.0120 deg
  Bg     = +80.43931 +/- 0.8616 deg
  Vh     =  38.88814 +/- 0.5472 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 239.79522 +/- 1.1056 deg
  Bh     = +46.59933 +/- 2.2843 deg
  Vh_x   =  13.44256 +/- 0.2313 km/s
  Vh_y   =  23.09221 +/- 0.9576 km/s
  Vh_z   = -28.25483 +/- 1.4296 km/s
Orbit:
  La Sun = 141.135612 +/- -0.0000 deg
  a      =   3.710182 +/- 1.6700 AU
  e      =   0.730419 +/- 0.0481
  i      =  46.926858 +/- 2.2078 deg
  peri   = 194.080821 +/- 2.7298 deg
  node   = 141.139576 +/- 0.0003 deg
  Pi     = 335.220397 +/- 2.7301 deg
  q      =   1.000196 +/- 0.0050 AU
  f      = 345.914182 +/- 2.7300 deg
  M      = 358.488353 +/- 0.5919 deg
  Q      =   6.420167 +/- 3.3377 AU
  n      =   0.137915 +/- 0.0324 deg/day
  T      =   7.146500 +/- 6.5166 years
  Last perihelion JD = 2456841.143150 (2014-07-02 15:26:08.163532) +/- 2381.4312 days
  Tj     =   2.190371 +/- 0.2712
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.991818e-03, +1.281826e-04, -9.272229e+01, -1.477770e-07, -1.380982e-03, +1.274539e-03
q   , +1.281826e-04, +1.966067e-05, -4.123118e+00, -1.673479e-08, -1.906903e-04, +1.370553e-04
Tp  , -9.272229e+01, -4.123118e+00, +4.866409e+06, +6.083075e-03, +4.800078e+01, -5.373036e+01
node, -1.477770e-07, -1.673479e-08, +6.083075e-03, +1.718180e-11, +1.666632e-07, -1.433907e-07
peri, -1.380982e-03, -1.906903e-04, +4.800078e+01, +1.666632e-07, +1.874168e-03, -1.375268e-03
i   , +1.274539e-03, +1.370553e-04, -5.373036e+01, -1.433907e-07, -1.375268e-03, +1.200983e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.223740
 a2 = 18.083435

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 2.777e-06 s
  Stddev    = 1.67e-03 s

Begin point on the trajectory:
  Lon =    -0.832908 +/- 0.0011 deg
  Lat =    52.798159 +/- 0.0023 deg
  Ht  = 96954.38 +/- 243.00 m
End point on the trajectory:
  Lon =    -0.807076 +/- 0.0006 deg
  Lat =    52.775251 +/- 0.0018 deg
  Ht  = 86162.32 +/- 144.34 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,    93664.01,    86864.91,          0.016348,     51.16,     20.64,              46.57, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210813_234009_969_0318208.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  46.717576,   0.000000,    96954.38,    86162.32,          0.023265,     54.10,     18.80,              39.20, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_234005_632_0266752.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,  0.105175, 2459440.486255363096, 141.88934,  66.54910,              357.77672,  27.87222,       357.78256,       27.87335,    141.88934,     +66.54910,     141.87717,      +66.55054,  2861219.71, -2682272.42,  5131160.55,      52.791184,       -0.825176,   93664.01,  195296.84,       0.00,             3368.14,    28.42,      0.00,           29378.86,      6.74,    -16.70,          19.02,  +2.53,  +1.08
  1,     UK000C,       0,  0.145419, 2459440.486255829223, 141.61854,  66.29035,              357.88157,  27.60751,       357.84584,       27.60061,    141.61854,     +66.29035,     141.69693,      +66.28163,  2860993.52, -2681767.31,  5129999.78,      52.788567,       -0.822221,   92430.80,  194429.51,    1285.96,             4654.10,    77.69,  31954.17,           29378.86,    -41.15,    102.00,         116.68,  +2.54,  +1.10
  2,     UK000C,       0,  0.185623, 2459440.486256294418, 141.53064,  66.03897,              357.90542,  27.35451,       357.90241,       27.35393,    141.53064,     +66.03897,     141.53808,      +66.03824,  2860790.68, -2681314.35,  5128958.86,      52.786220,       -0.819587,   91324.91,  193655.70,    2439.15,             5807.29,    -4.60,  28683.35,           29378.86,     -3.46,      8.59,           9.86,  +2.55,  +1.11
  3,     UK000C,       0,  0.225827, 2459440.486256759614, 141.41584,  65.79752,              357.94293,  27.11083,       357.95715,       27.11357,    141.41584,     +65.79752,     141.38649,      +65.80094,  2860594.59, -2680876.48,  5127952.62,      52.783950,       -0.817045,   90255.88,  192911.26,    3553.91,             6922.05,  -125.32,  27727.56,           29378.86,     16.31,    -40.43,          46.61,  +2.04,  +0.61
  4,     UK000C,       0,  0.266099, 2459440.486257225741, 141.15899,  65.50476,              358.04412,  26.81286,       358.02702,       26.80956,    141.15899,     +65.50476,     141.19660,      +65.50068,  2860348.74, -2680327.47,  5126690.98,      52.781103,       -0.813815,   88915.53,  191982.81,    4951.61,             8319.75,    34.83,  34706.66,           30257.61,    -19.57,     48.51,          56.21,  +1.33,  -0.09
  5,     UK000C,       0,  0.306335, 2459440.486257691402, 140.98644,  65.23618,              358.10935,  26.54100,       358.08890,       26.53706,    140.98644,     +65.23618,     141.03103,      +65.23134,  2860130.39, -2679839.89,  5125570.50,      52.778574,       -0.810965,   87725.13,  191163.04,    6192.94,             9561.08,    39.69,  30851.09,           30593.32,    -23.36,     57.90,          67.36,  +1.78,  +0.37
  6,     UK000C,       0,  0.346499, 2459440.486258156132, 140.92433,  65.03387,              358.12744,  26.33765,       358.13270,       26.33866,    140.92433,     +65.03387,     140.91490,      +65.03511,  2859972.62, -2679487.56,  5124760.83,      52.776745,       -0.808951,   86864.91,  190573.56,    7089.93,            10458.07,  -297.56,  22333.23,           29829.68,      6.00,    -14.87,          17.36,  +4.62,  +3.22
  0,     UK002F,       0,  0.000000, 2459440.486253702547,  80.61865,  74.25294,               17.43546,  41.52453,        17.38923,       41.51120,     80.61865,     +74.25294,      80.74554,      +74.26675,  2861823.23, -2683620.12,  5134257.62,      52.798159,       -0.832908,   96954.38,  144796.94,       0.00,               62.95,   -44.72,      0.00,           33010.56,    -30.75,    -88.54,         133.51,  +2.92,  +2.12
  1,     UK002F,       0,  0.040248, 2459440.486254168209,  81.26870,  74.01619,               17.47493,  41.22999,        17.52088,       41.24319,     81.26870,     +74.01619,      81.14389,      +74.00266,  2861623.23, -2683173.51,  5133231.29,      52.795848,       -0.830316,   95863.99,  143919.06,    1137.02,             1074.07,  -270.43,  28250.39,           33010.56,     30.52,     87.76,         133.17,  +3.35,  +2.56
  2,     UK002F,       0,  0.080568, 2459440.486254635267,  81.61966,  73.65545,               17.69929,  40.89673,        17.69189,       40.89460,     81.61966,     +73.65545,      81.63986,      +73.65759,  2861367.06, -2682601.45,  5131916.68,      52.792887,       -0.826948,   94467.33,  142800.63,    2593.42,             2530.47,   -53.07,  36120.93,           33010.56,     -4.90,    -14.09,          21.55,  +1.90,  +1.13
  3,     UK002F,       0,  0.120872, 2459440.486255101394,  82.04446,  73.32606,               17.86851,  40.57019,        17.85133,       40.56526,     82.04446,     +73.32606,      82.09049,      +73.33096,  2861128.76, -2682069.32,  5130693.81,      52.790132,       -0.823826,   93168.15,  141765.53,    3948.17,             3885.22,    63.13,  33613.30,           33010.56,    -11.33,    -32.61,          50.23,  +1.33,  +0.57
  4,     UK002F,       0,  0.161132, 2459440.486255567521,  82.51107,  73.05408,               17.96946,  40.27647,        17.98662,       40.28139,     82.51107,     +73.05408,      82.46672,      +73.04925,  2860926.14, -2681616.85,  5129654.02,      52.787788,       -0.821196,   92063.46,  140889.21,    5100.10,             5037.15,   -22.13,  28612.32,           32295.58,     11.29,     32.48,          50.34,  +1.30,  +0.56
  5,     UK002F,       0,  0.201424, 2459440.486256033648,  82.88190,  72.73750,               18.13034,  39.96505,        18.13574,       39.96660,     82.88190,     +72.73750,      82.86874,      +72.73600,  2860704.54, -2681121.99,  5128516.82,      52.785223,       -0.818302,   90855.30,  139935.59,    6359.95,             6297.00,    -0.46,  31267.89,           31944.41,      3.54,     10.19,          15.90,  +1.19,  +0.46
  6,     UK002F,       0,  0.241712, 2459440.486256500240,  83.28282,  72.42606,               18.27198,  39.64952,        18.28292,       39.65265,     83.28282,     +72.42606,      83.25578,      +72.42307,  2860486.61, -2680635.34,  5127398.49,      52.782700,       -0.815459,   89667.18,  139002.46,    7598.89,             7535.94,     0.43,  30752.28,           31691.25,      7.16,     20.58,          32.34,  +0.83,  +0.11
  7,     UK002F,       0,  0.282000, 2459440.486256966367,  83.68363,  72.11842,               18.40446,  39.33474,        18.42737,       39.34130,     83.68363,     +72.11842,      83.62666,      +72.11223,  2860273.43, -2680159.31,  5126304.54,      52.780231,       -0.812681,   88504.96,  138094.22,    8810.83,             8747.88,   -25.69,  30081.77,           31451.64,     14.96,     43.02,          68.04,  +0.87,  +0.17
  8,     UK002F,       0,  0.322280, 2459440.486257432494,  83.92030,  71.80041,               18.59066,  39.04205,        18.56776,       39.03549,     83.92030,     +71.80041,      83.97911,      +71.80652,  2860066.84, -2679697.96,  5125244.35,      52.777837,       -0.809993,   87378.62,  137218.36,    9985.36,             9922.41,   -88.97,  29159.11,           31187.02,    -14.91,    -42.88,          68.24,  +1.18,  +0.49
  9,     UK002F,       0,  0.362592, 2459440.486257899087,  84.23695,  71.45905,               18.76589,  38.71360,        18.72047,       38.70058,     84.23695,     +71.45905,      84.35114,      +71.47100,  2859843.74, -2679199.77,  5124099.48,      52.775251,       -0.807076,   86162.32,  136277.79,   11253.70,            11190.75,   -59.42,  31463.16,           31067.36,    -29.48,    -84.83,         135.93,  +3.03,  +2.36

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.