Orbital Analysis for matched events on 20210810_210119.693_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 76.57° Bg 37.29° Vg 56.00km/s
mass 0.10288g, abs. mag -2.2
Path Details
------------
start 2.73° 50.96° 101.95km
end   2.69° 50.86° 96.62km

Orbit Details
-------------
Semimajor axis 13.35A.U., eccentricity 0.94, inclination 106.09°, Period 48.77Y, LA Sun 138.15°, last Perihelion 2021-07-05

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: 2459437.375922381878
Time: 2021-08-10 21:01:19.693794 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 4.40275 deg
 R.A. =  60.45623  Dec = +59.82474 deg

Best intersection: Stations UK002C and UK002N with Qconv = 4.40 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    542315.92 +/- 1102.55 m
 Y =  -4053473.90 +/- 268.45 m
 Z =   5010040.21 +/- 215.40 m
 Vx =    10321.23 +/- 5849.75 m/s
 Vy =    26190.52 +/- 4537.99 m/s
 Vz =    49661.37 +/- 4941.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.250437e+06, -5.488202e+05, +4.391355e+05, +8.867915e+06, -2.034003e+06, +1.518235e+06
-5.488202e+05, +1.339699e+05, -1.067299e+05, -2.175912e+06, +4.998522e+05, -3.723637e+05
+4.391355e+05, -1.067299e+05, +8.672414e+04, +1.692654e+06, -3.860441e+05, +2.902586e+05
+8.867915e+06, -2.175912e+06, +1.692654e+06, +3.632394e+07, -8.411642e+06, +6.201794e+06
-2.034003e+06, +4.998522e+05, -3.860441e+05, -8.411642e+06, +1.952387e+06, -1.435214e+06
+1.518235e+06, -3.723637e+05, +2.902586e+05, +6.201794e+06, -1.435214e+06, +1.059071e+06

Timing offsets (from input data):
    UK002C: 0.000000 s
    UK002N: 0.000296 s

Reference point on the trajectory:
  Time: 2021-08-10 21:01:19.693794 UTC
  Lon     = ++2.731788 +/- 0.0148 deg
  Lat     = +50.961388 +/- 0.0017 deg
  Lat geo = +50.775955 +/- 0.0017 deg
  Ht      =  101922.33 +/- 421.11 m

  JD dynamic   = 2459437.376723122783 
  LST apparent = 277.6203727406 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  68.49145 +/- 9.7821 deg
  Dec       = +60.45299 +/- 2.8134 deg
  Azimuth   =  15.21645 +/- 6.8089 deg
  Elevation = +23.85310 +/- 1.1738 deg
  Vavg      =  55.33012 +/- 3.9248 km/s
  Vinit     =  57.08522 +/- 3.7999 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  67.96398 +/- 9.7821 deg
  Dec       = +60.32535 +/- 2.8134 deg
  Azimuth   =  15.53177 +/- 6.8089 deg
  Elevation = +23.82105 +/- 1.1738 deg
  Vavg      =  55.40244 +/- 3.9248 km/s
  Vinit     =  57.15754 +/- 3.7999 km/s
Radiant (geocentric, J2000):
  R.A.   =  68.50422 +/- 9.7826 deg
  Dec    = +59.72866 +/- 2.7468 deg
  Vg     =  55.99517 +/- 3.8551 km/s
  Vinf   =  57.08522 +/- 3.7999 km/s
  Zc     =  66.32584 +/- 1.1842 deg
  Zg     =  67.04766 +/- 1.2510 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  76.57481 +/- 7.7734 deg
  Bg     = +37.28876 +/- 0.6605 deg
  Vh     =  41.03655 +/- 2.9689 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 113.07552 +/- 18.1749 deg
  Bh     = +55.76043 +/- 2.2911 deg
  Vh_x   =   9.04975 +/- 7.4733 km/s
  Vh_y   = -21.24200 +/- 1.3238 km/s
  Vh_z   = -33.92460 +/- 1.9713 km/s
Orbit:
  La Sun = 138.149585 +/- nan deg
  a      =  13.348970 +/- 24.5743 AU
  e      =   0.944373 +/- 0.3124
  i      = 106.088587 +/- 3.5875 deg
  peri   = 116.704524 +/- 16.4937 deg
  node   = 138.148118 +/- 0.0003 deg
  Pi     = 254.852642 +/- 16.4934 deg
  q      =   0.742562 +/- 0.0542 AU
  f      =  63.291452 +/- 16.4938 deg
  M      =   0.742766 +/- nan deg
  Q      =  25.955378 +/- 49.1514 AU
  n      =   0.020208 +/- 0.3570 deg/day
  T      =  48.772193 +/- 304543418.1553 years
  Last perihelion JD = 2459400.621463 (2021-07-05 02:54:54.362873) +/- 5.7477 days
  Tj     =   0.097932 +/- 1.7641
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.627666e-04, +1.964556e-03, +1.447573e-01, -1.009675e-07, +5.445264e-03, +1.325151e-03
q   , +1.964556e-03, +1.130746e-02, +7.966754e-01, -5.677372e-07, +3.076781e-02, +7.474699e-03
Tp  , +1.447573e-01, +7.966754e-01, +5.646163e+01, -4.012197e-05, +2.172974e+00, +5.280192e-01
node, -1.009675e-07, -5.677372e-07, -4.012197e-05, +2.855022e-11, -1.546735e-06, -3.758058e-07
peri, +5.445264e-03, +3.076781e-02, +2.172974e+00, -1.546735e-06, +8.380157e-02, +2.036054e-02
i   , +1.325151e-03, +7.474699e-03, +5.280192e-01, -3.758058e-07, +2.036054e-02, +4.946865e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001018
 a2 = 54.007270

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 2.569e-06 s
  Stddev    = 1.60e-03 s

Begin point on the trajectory:
  Lon =     2.731978 +/- 0.0148 deg
  Lat =    50.961830 +/- 0.0017 deg
  Ht  = 101945.25 +/- 416.51 m
End point on the trajectory:
  Lon =     2.686618 +/- 0.0130 deg
  Lat =    50.858617 +/- 0.0019 deg
  Ht  = 96615.41 +/- 363.51 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   101945.25,    96615.41,          0.020764,    119.04,     27.73,              58.69, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210810_210110_222_0066816.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   101597.69,    97059.34,          0.012529,     57.22,      8.87,              56.79, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210810_210117_128_0073984.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,     UK002C,       0,  0.000000, 2459437.375922381878, 348.30336,   8.83494,               96.03418,  16.10625,        96.02126,       16.07424,    348.30336,      +8.83494,     348.33350,       +8.81785,   542326.17, -4053447.90,  5010089.51,      50.961830,       +2.731978,  101945.25,  338299.70,       0.00,               56.67,   195.69,      0.00,           54967.55,     45.96,    197.45,         123.61,  +3.93,  +1.28
  1,     UK002C,       0,  0.040164, 2459437.375922846608, 348.10467,   8.45276,               96.44293,  15.93218,        96.43767,       15.91921,    348.10467,      +8.45276,     348.11704,       +8.44584,   541857.64, -4054636.81,  5007835.14,      50.941593,       +2.723098,  100897.73,  337736.57,    2591.37,             2534.70,   380.95,  64519.69,           54967.55,     18.62,     79.89,          50.10,  +2.54,  -0.10
  2,     UK002C,       0,  0.080272, 2459437.375923310872, 347.94805,   8.17629,               96.74866,  15.81397,        96.74477,       15.80442,    347.94805,      +8.17629,     347.95738,       +8.17119,   541512.73, -4055512.03,  5006175.59,      50.926691,       +2.716519,  100127.13,  337331.22,    4499.01,             4442.34,    -0.99,  47562.60,           54967.55,     13.72,     58.82,          36.93,  +1.75,  -0.89
  3,     UK002C,       0,  0.120388, 2459437.375923775136, 347.74933,   7.86340,               97.11163,  15.69319,        97.10213,       15.67000,    347.74933,      +7.86340,     347.77168,       +7.85102,   541111.83, -4056529.32,  5004246.65,      50.909365,       +2.708903,   99232.02,  336874.88,    6716.31,             6659.64,   -73.72,  55272.14,           54967.55,     33.25,    142.75,          89.74,  +1.44,  -1.20
  4,     UK002C,       0,  0.160512, 2459437.375924239866, 347.57063,   7.54962,               97.45884,  15.55899,        97.45034,       15.53832,    347.57063,      +7.54962,     347.59077,       +7.53859,   540721.74, -4057519.20,  5002369.69,      50.892501,       +2.701491,   98361.63,  336443.99,    8873.85,             8817.18,  -206.66,  53771.99,           54512.04,     29.62,    127.14,          80.03,  +2.09,  -0.54
  5,     UK002C,       0,  0.200680, 2459437.375924704596, 347.38866,   7.16973,               97.85114,  15.37481,        97.85504,       15.38425,    347.38866,      +7.16973,     347.38060,       +7.17477,   540268.89, -4058668.32,  5000190.77,      50.872917,       +2.692918,   97351.97,  335962.30,   11378.49,            11321.82,     4.98,  62354.10,           55503.41,    -13.55,    -58.04,          36.59,  +3.10,  +0.47
  6,     UK002C,       0,  0.240788, 2459437.375925168861, 347.24155,   6.89966,               98.14402,  15.25457,        98.15092,       15.27121,    347.24155,      +6.89966,     347.22687,       +6.90854,   539938.32, -4059507.15,  4998600.20,      50.858617,       +2.686618,   96615.41,  335619.04,   13206.84,            13150.17,  -456.25,  45585.49,           54795.27,    -23.89,   -102.25,          64.53,  +4.45,  +1.82
  0,     UK002N,       0,  0.013995, 2459437.375922541134, 345.51761,  12.42780,               96.70898,  21.29797,        96.70853,       21.29681,    345.51761,     +12.42780,     345.51876,      +12.42718,   542170.76, -4053842.26,  5009341.74,      50.955118,       +2.729030,  101597.69,  266492.19,       0.00,              802.88,   143.01,      0.00,           53825.19,      0.88,      5.66,           4.43,  +2.47,  +0.34
  1,     UK002N,       0,  0.054315, 2459437.375923007727, 345.26935,  11.99327,               97.20615,  21.11667,        97.20974,       21.12570,    345.26935,     +11.99327,     345.26107,      +11.99812,   541740.02, -4054935.28,  5007269.21,      50.936512,       +2.720853,  100634.89,  265904.97,    2382.35,             3185.23,   223.68,  59086.05,           53825.19,     -6.85,    -44.14,          34.65,  +0.86,  -1.26
  2,     UK002N,       0,  0.094599, 2459437.375923474319, 345.04527,  11.60705,               97.65021,  20.95700,        97.65616,       20.97185,    345.04527,     +11.60705,     345.03168,      +11.61503,   541357.14, -4055906.83,  5005426.99,      50.919968,       +2.713569,   99779.67,  265398.68,    4499.96,             5302.85,    41.68,  52567.13,           53825.19,    -11.27,    -72.55,          57.06,  +0.49,  -1.63
  3,     UK002N,       0,  0.134859, 2459437.375923939981, 344.81889,  11.24363,               98.08019,  20.81580,        98.08322,       20.82333,    344.81889,     +11.24363,     344.81236,      +11.24767,   540991.49, -4056834.69,  5003667.63,      50.904163,       +2.706609,   98963.45,  264929.62,    6522.33,             7325.21,  -234.21,  50232.67,           53825.19,     -5.71,    -36.77,          28.97,  +0.69,  -1.43
  4,     UK002N,       0,  0.175179, 2459437.375924407039, 344.51843,  10.79496,               98.62748,  20.65365,        98.61971,       20.63454,    344.51843,     +10.79496,     344.53716,      +10.78469,   540532.81, -4057998.62,  5001460.62,      50.884331,       +2.697924,   97940.29,  264364.71,    9059.26,             9862.14,     1.04,  62919.85,           55244.53,     14.42,     93.21,          73.59,  +1.48,  -0.63
  5,     UK002N,       0,  0.215479, 2459437.375924873166, 344.28938,  10.38943,               99.08687,  20.48000,        99.08279,       20.47004,    344.28938,     +10.38943,     344.29967,      +10.38408,   540137.58, -4059001.52,  4999558.97,      50.867237,       +2.690421,   97059.34,  263895.09,   11245.19,            12048.08,  -113.56,  54241.50,           55506.64,      7.52,     48.57,          38.42,  +3.60,  +1.49

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.