Orbital Analysis for matched events on 20210813_234312.945_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 291.96° Bg 62.42° Vg 22.52km/s
mass 0.35715g, abs. mag -1.6
Path Details
------------
start 3.16° 53.03° 91.63km
end   3.21° 53.04° 84.57km

Orbit Details
-------------
Semimajor axis 11.86A.U., eccentricity 0.92, inclination 30.07°, Period 40.83Y, LA Sun 141.14°, last Perihelion 1980-11-01

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: 2459440.488344272599
Time: 2021-08-13 23:43:12.955573 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 33.62600 deg
 R.A. = 287.06646  Dec = +42.68438 deg

Best intersection: Stations UK002F and UK002K with Qconv = 33.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3055098.70 +/- 96.42 m
 Y =  -2422512.35 +/- 132.93 m
 Z =   5145828.75 +/- 95.01 m
 Vx =     4842.75 +/- 1037.12 m/s
 Vy =   -18337.63 +/- 1139.67 m/s
 Vz =    16461.84 +/- 1196.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.677591e+03, +8.789598e+03, +7.191158e+03, +4.474327e+04, +6.734134e+04, +3.992324e+04
+8.789598e+03, +1.349427e+04, +1.143364e+04, +7.439368e+04, +1.167181e+05, +7.715997e+04
+7.191158e+03, +1.143364e+04, +1.363216e+04, +7.764153e+04, +1.298437e+05, +9.448155e+04
+4.474327e+04, +7.439368e+04, +7.764153e+04, +7.734063e+05, +1.243820e+06, +8.527316e+05
+6.734134e+04, +1.167181e+05, +1.298437e+05, +1.243820e+06, +2.034660e+06, +1.414334e+06
+3.992324e+04, +7.715997e+04, +9.448155e+04, +8.527316e+05, +1.414334e+06, +1.029807e+06

Timing offsets (from input data):
    UK002F: 0.004434 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:43:12.955573 UTC
  Lon     = ++3.159480 +/- 0.0024 deg
  Lat     = +53.031215 +/- 0.0006 deg
  Lat geo = +52.848758 +/- 0.0006 deg
  Ht      =   91570.18 +/- 73.50 m

  JD dynamic   = 2459440.489145134110 
  LST apparent = 321.5876664692 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 284.79340 +/- 4.3713 deg
  Dec       = +40.95639 +/- 3.1980 deg
  Azimuth   = 258.86994 +/- 2.9232 deg
  Elevation = +62.54848 +/- 4.3189 deg
  Vavg      =  24.06833 +/- 0.1311 km/s
  Vinit     =  25.11400 +/- 0.2948 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.48740 +/- 4.3713 deg
  Dec       = +41.21028 +/- 3.1980 deg
  Azimuth   = 258.59162 +/- 2.9232 deg
  Elevation = +63.11588 +/- 4.3189 deg
  Vavg      =  23.94101 +/- 0.1311 km/s
  Vinit     =  24.98669 +/- 0.2948 km/s
Radiant (geocentric, J2000):
  R.A.   = 283.05497 +/- 4.4719 deg
  Dec    = +39.97729 +/- 3.4072 deg
  Vg     =  22.52193 +/- 0.3278 km/s
  Vinf   =  25.11400 +/- 0.2948 km/s
  Zc     =  27.41684 +/- 4.3102 deg
  Zg     =  28.93776 +/- 4.5285 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 291.95709 +/- 9.7307 deg
  Bg     = +62.42349 +/- 2.3825 deg
  Vh     =  40.94610 +/- 1.4796 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 246.41767 +/- 0.3768 deg
  Bh     = +29.18013 +/- 1.6465 deg
  Vh_x   =  14.30225 +/- 0.9065 km/s
  Vh_y   =  32.76409 +/- 1.6214 km/s
  Vh_z   = -19.96355 +/- 0.2870 km/s
Orbit:
  La Sun = 141.137620 +/- -0.0000 deg
  a      =  11.858224 +/- 85.1346 AU
  e      =   0.919292 +/- 0.1261
  i      =  30.065312 +/- 1.7106 deg
  peri   = 207.792673 +/- 2.7334 deg
  node   = 141.144534 +/- 0.0004 deg
  Pi     = 348.937208 +/- 2.7331 deg
  q      =   0.957049 +/- 0.0057 AU
  f      = 332.200110 +/- 2.7331 deg
  M      = 359.521917 +/- nan deg
  Q      =  22.759399 +/- 170.2700 AU
  n      =   0.024137 +/- 0.0762 deg/day
  T      =  40.834769 +/- 339934626.3855 years
  Last perihelion JD = 2444545.137373 (1980-11-01 15:17:48.988489) +/- 13055.6482 days
  Tj     =   1.467204 +/- 0.6389
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.302107e-02, +5.277659e-04, -8.994184e+02, +8.153128e-07, -4.881389e-03, -3.657570e-03
q   , +5.277659e-04, +2.459410e-05, -3.808096e+01, +3.172316e-08, -2.147250e-04, -1.440823e-04
Tp  , -8.994184e+02, -3.808096e+01, +1.286711e+08, -4.500442e-02, +3.318419e+02, +2.004060e+02
node, +8.153128e-07, +3.172316e-08, -4.500442e-02, +5.342108e-11, -3.007513e-07, -2.391633e-07
peri, -4.881389e-03, -2.147250e-04, +3.318419e+02, -3.007513e-07, +1.924460e-03, +1.360420e-03
i   , -3.657570e-03, -1.440823e-04, +2.004060e+02, -2.391633e-07, +1.360420e-03, +1.072551e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000003
 a2 = 54.249199

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 3.853e-06 s
  Stddev    = 1.96e-03 s

Begin point on the trajectory:
  Lon =     3.159056 +/- 0.0024 deg
  Lat =    53.031164 +/- 0.0006 deg
  Ht  = 91626.79 +/- 54.06 m
End point on the trajectory:
  Lon =     3.210666 +/- 0.0067 deg
  Lat =    53.037432 +/- 0.0016 deg
  Ht  = 84566.56 +/- 136.08 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000004,  54.238720,    91626.79,    84566.56,          0.007930,     43.23,     20.11,              92.53, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_234305_320_0270848.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    91515.26,    87354.07,          0.036420,    134.34,     97.65,              87.13, 1.0000,    True,   False, {"ff_name": "FF_UK002K_20210813_234305_673_0314368.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,     UK002F,       0,  0.019806, 2459440.488344393205,  57.95215,  26.03615,               65.41486,  13.95283,        65.41365,       13.95273,     57.95215,     +26.03615,      57.95324,      +26.03681,  3055111.00, -2422558.92,  5145870.56,      53.031164,       +3.159056,   91626.79,  343969.74,       0.00,               63.79,  -142.19,      0.00,           26902.41,     -2.99,     -6.42,           4.24,  +4.91,  +2.23
  1,     UK002F,       0,  0.059998, 2459440.488344858401,  58.10812,  25.84877,               65.42247,  13.71889,        65.43240,       13.71967,     58.10812,     +25.84877,      58.09937,      +25.84336,  3054835.19, -2421514.56,  5144933.02,      53.032292,       +3.168397,   90357.57,  344214.75,    1430.29,             1366.50,   151.15,  35586.45,           26902.41,     24.54,     52.75,          34.86,  +4.41,  +1.73
  2,     UK002F,       0,  0.100102, 2459440.488345322665,  58.18965,  25.74833,               65.42787,  13.59459,        65.44206,       13.59571,     58.18965,     +25.74833,      58.17723,      +25.74060,  3054688.06, -2420957.43,  5144432.89,      53.032893,       +3.173304,   89680.50,  344343.05,    2193.29,             2129.51,   -93.02,  19025.63,           26902.41,     35.09,     75.43,          49.83,  +3.81,  +1.13
  3,     UK002F,       0,  0.140258, 2459440.488345787395,  58.30506,  25.59192,               65.44436,  13.40744,        65.45697,       13.40843,     58.30506,     +25.59192,      58.29424,      +25.58506,  3054465.87, -2420116.06,  5143677.58,      53.033801,       +3.180801,   88658.02,  344545.07,    3345.58,             3281.80,    50.79,  28695.29,           26902.41,     31.20,     67.07,          44.29,  +1.80,  -0.89
  4,     UK002F,       0,  0.220506, 2459440.488346715923,  58.48629,  25.33210,               65.47874,  13.10221,        65.48104,       13.10239,     58.48629,     +25.33210,      58.48506,      +25.33085,  3054102.00, -2418738.23,  5142440.69,      53.035287,       +3.193025,   86983.65,  344880.19,    5232.56,             5168.78,   -77.58,  23514.35,           25542.34,      5.71,     12.26,           8.09,  +1.08,  -1.61
  5,     UK002F,       0,  0.260646, 2459440.488347180653,  58.58432,  25.18432,               65.50161,  12.93133,        65.49459,       12.93078,     58.58432,     +25.18432,      58.59163,      +25.18813,  3053897.71, -2417964.67,  5141746.26,      53.036121,       +3.199912,   86043.63,  345073.92,    6291.98,             6228.19,   -26.24,  26393.03,           25413.32,    -17.44,    -37.47,          24.70,  +1.42,  -1.27
  6,     UK002F,       0,  0.300778, 2459440.488347645383,  58.69209,  25.05453,               65.50570,  12.76900,        65.50730,       12.76912,     58.69209,     +25.05453,      58.69183,      +25.05366,  3053705.03, -2417235.08,  5141091.30,      53.036908,       +3.206400,   85157.06,  345258.90,    7291.18,             7227.39,   -34.91,  24897.87,           25326.17,      3.99,      8.57,           5.65,  +1.84,  -0.85
  7,     UK002F,       0,  0.340866, 2459440.488348109182,  58.75422,  24.96262,               65.51881,  12.66197,        65.51553,       12.66171,     58.75422,     +24.96262,      58.75852,      +24.96440,  3053576.71, -2416749.16,  5140655.09,      53.037432,       +3.210666,   84566.56,  345380.22,    7956.66,             7892.87,  -376.20,  16600.47,           24707.80,     -8.18,    -17.57,          11.57,  +2.88,  +0.19
  0,     UK002K,       0,  0.000000, 2459440.488344272599,  27.00474,   8.68946,              101.97277,  19.41600,       101.99412,       19.41184,     27.00474,      +8.68946,      26.99069,       +8.67426,  3055086.76, -2422467.16,  5145788.18,      53.031263,       +3.159935,   91515.26,  261155.43,       0.00,               61.89,   353.33,      0.00,           22717.20,     55.09,     75.79,          74.01,  +4.61,  +2.53
  1,     UK002K,       0,  0.040092, 2459440.488344736397,  27.14282,   8.62833,              101.89387,  19.28627,       101.96415,       19.27260,     27.14282,      +8.62833,      27.09680,       +8.57826,  3054960.77, -2421990.09,  5145359.91,      53.031778,       +3.164111,   90935.48,  261184.46,     653.36,              715.25,    -0.18,  16296.53,           22717.20,    181.50,    249.77,         243.83,  +2.41,  +0.33
  2,     UK002K,       0,  0.080280, 2459440.488345201593,  27.24975,   8.42823,              101.92788,  19.06223,       101.91910,       19.06394,     27.24975,      +8.42823,      27.25582,       +8.43449,  3054772.31, -2421276.45,  5144719.28,      53.032549,       +3.170441,   90068.20,  261235.94,    1630.70,             1692.59,   -32.12,  24319.30,           22717.20,    -22.73,    -31.26,          30.52,  +2.45,  +0.36
  3,     UK002K,       0,  0.120452, 2459440.488345666789,  27.44106,   8.28524,              101.85483,  18.83530,       101.86920,       18.83250,     27.44106,      +8.28524,      27.43206,       +8.27499,  3054563.28, -2420484.94,  5144008.73,      53.033403,       +3.177484,   89106.30,  261298.38,    2714.71,             2776.60,    43.00,  26984.07,           22717.20,     37.24,     51.22,          49.99,  +1.69,  -0.40
  4,     UK002K,       0,  0.160616, 2459440.488346131518,  27.58204,   8.12671,              101.83399,  18.62503,       101.82503,       18.62677,     27.58204,      +8.12671,      27.58858,       +8.13311,  3054377.31, -2419780.74,  5143376.56,      53.034163,       +3.183733,   88250.53,  261356.54,    3679.13,             3741.02,    -1.25,  24012.13,           23456.37,    -23.27,    -32.00,          31.23,  +1.08,  -1.01
  5,     UK002K,       0,  0.200796, 2459440.488346596714,  27.71680,   7.94678,              101.83158,  18.40103,       101.77885,       18.41131,     27.71680,      +7.94678,      27.75239,       +7.98448,  3054182.50, -2419043.05,  5142714.33,      53.034958,       +3.190289,   87354.07,  261421.70,    4689.43,             4751.32,    -0.04,  25144.25,           23908.75,   -137.06,   -188.48,         183.87,  +1.65,  -0.44

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.