Orbital Analysis for matched events on 20210810_000939.225_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.00° Bg 37.24° Vg 56.41km/s
mass 0.00462g, abs. mag 1.3
Path Details
------------
start -2.26° 51.60° 113.10km
end   -2.39° 51.53° 102.34km

Orbit Details
-------------
Semimajor axis 3.23A.U., eccentricity 0.71, inclination 112.64°, Period 5.80Y, LA Sun 137.32°, 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: 2459436.506703994703
Time: 2021-08-10 00:09:39.225142 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 3.41514 deg
 R.A. =  45.94471  Dec = +54.53437 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 3.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3042423.37 +/- 964.16 m
 Y =  -2658359.40 +/- 823.38 m
 Z =   5064035.19 +/- 3596.39 m
 Vx =    22114.72 +/- 13434.42 m/s
 Vy =    22554.91 +/- 14138.16 m/s
 Vz =    48034.37 +/- 27596.46 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.242911e+04, +7.203636e+04, +3.052921e+05, +2.776860e+04, +1.979343e+04, +1.035356e+05
+7.203636e+04, +6.326556e+04, +2.679671e+05, +2.235068e+04, +1.749112e+04, +8.943493e+04
+3.052921e+05, +2.679671e+05, +1.138589e+06, +9.291513e+04, +6.732580e+04, +4.014640e+05
+2.776860e+04, +2.235068e+04, +9.291513e+04, +1.367081e+05, +1.094826e+05, +5.611835e+05
+1.979343e+04, +1.749112e+04, +6.732580e+04, +1.094826e+05, +1.068796e+05, +4.402472e+05
+1.035356e+05, +8.943493e+04, +4.014640e+05, +5.611835e+05, +4.402472e+05, +2.843698e+06

Timing offsets (from input data):
    UK000S: 0.009485 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:09:39.225142 UTC
  Lon     = +-2.259028 +/- 0.0087 deg
  Lat     = +51.600562 +/- 0.0091 deg
  Lat geo = +51.416356 +/- 0.0091 deg
  Ht      =  113151.68 +/- 1435.36 m

  JD dynamic   = 2459436.507504735608 
  LST apparent = 318.8542149930 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.56460 +/- 0.4820 deg
  Dec       = +56.67080 +/- 1.8920 deg
  Azimuth   =  47.97925 +/- 2.0619 deg
  Elevation = +42.40652 +/- 1.1903 deg
  Vavg      =  56.92357 +/- 5.9292 km/s
  Vinit     =  57.48987 +/- 31.4946 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.59499 +/- 0.4820 deg
  Dec       = +56.42656 +/- 1.8920 deg
  Azimuth   =  48.24408 +/- 2.0619 deg
  Elevation = +42.25953 +/- 1.1903 deg
  Vavg      =  57.08571 +/- 5.9292 km/s
  Vinit     =  57.65201 +/- 31.4946 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.88875 +/- 0.6176 deg
  Dec    = +56.32558 +/- 1.9577 deg
  Vg     =  56.40949 +/- 9.5792 km/s
  Vinf   =  57.48987 +/- 9.4512 km/s
  Zc     =  47.71693 +/- 1.1856 deg
  Zg     =  48.19766 +/- 1.2942 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.00032 +/- 0.5457 deg
  Bg     = +37.24268 +/- 1.9385 deg
  Vh     =  38.40888 +/- 9.6767 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.29528 +/- 3.3384 deg
  Bh     = +62.72904 +/- 1.4995 deg
  Vh_x   =  -2.05472 +/- 2.4062 km/s
  Vh_y   = -17.47856 +/- 5.4673 km/s
  Vh_z   = -34.13971 +/- 7.8276 km/s
Orbit:
  La Sun = 137.315570 +/- 0.0000 deg
  a      =   3.226480 +/- 1.8774 AU
  e      =   0.713226 +/- 1.0839
  i      = 112.643376 +/- 2.1618 deg
  peri   = 142.214404 +/- 11.7471 deg
  node   = 137.314681 +/- 0.0002 deg
  Pi     = 279.529085 +/- 11.7469 deg
  q      =   0.925270 +/- 0.0302 AU
  f      =  37.781580 +/- 11.7471 deg
  M      =   4.717141 +/- nan deg
  Q      =   5.527689 +/- 3.7724 AU
  n      =   0.170063 +/- 1.7756 deg/day
  T      =   5.795542 +/- 427919778.4643 years
  Last perihelion JD = 2459408.769944 (2021-07-13 06:28:43.178262) +/- 9.4834 days
  Tj     =   1.188028 +/- 6.0047
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.621145e-02, +2.051094e-03, +6.905325e-01, -7.805741e-08, +1.408404e-02, +1.040048e-03
q   , +2.051094e-03, +3.301242e-04, +1.073239e-01, -1.270825e-08, +2.245842e-03, +1.699071e-04
Tp  , +6.905325e-01, +1.073239e-01, +3.512384e+01, -4.149978e-06, +7.322970e-01, +5.546093e-02
node, -7.805741e-08, -1.270825e-08, -4.149978e-06, +6.884199e-13, -8.676843e-08, -9.178842e-09
peri, +1.408404e-02, +2.245842e-03, +7.322970e-01, -8.676843e-08, +1.530692e-02, +1.159962e-03
i   , +1.040048e-03, +1.699071e-04, +5.546093e-02, -9.178842e-09, +1.159962e-03, +1.223904e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 8.363e-06 s
  Stddev    = 2.89e-03 s

Begin point on the trajectory:
  Lon =    -2.259580 +/- 0.0097 deg
  Lat =    51.600253 +/- 0.0101 deg
  Ht  = 113103.85 +/- 1600.59 m
End point on the trajectory:
  Lon =    -2.385022 +/- 0.0057 deg
  Lat =    51.530346 +/- 0.0065 deg
  Ht  = 102341.84 +/- 1033.72 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   110698.18,   103046.45,          0.009238,      5.16,     21.89,              44.20, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_000930_515_0347136.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   113103.85,   102341.84,          0.012778,      5.30,     31.16,              11.53, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_000930_215_0342272.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,     UK000S,       0,  0.055254, 2459436.506704433355, 238.14586,  75.18492,              336.45518,  50.76141,       336.46048,       50.75157,    238.14586,     +75.18492,     238.10589,      +75.18659,  3041023.61, -2659787.02,  5060994.84,      51.584670,       -2.287494,  110698.18,  142111.95,       0.00,             3638.84,   454.23,      0.00,           53942.80,     25.10,      5.91,          37.43,  +5.06,  +4.30
  1,     UK000S,       0,  0.095310, 2459436.506704896688, 237.72792,  74.66216,              335.67305,  50.56319,       335.66555,       50.57668,    237.72792,     +74.66216,     237.78167,      +74.65994,  3040349.14, -2660474.91,  5059529.86,      51.577005,       -2.301302,  109516.35,  140945.15,    1753.36,             5392.20,   -95.23,  43772.72,           53942.80,    -34.25,     -8.08,          51.50,  +3.16,  +2.41
  2,     UK000S,       0,  0.135358, 2459436.506705360487, 237.34388,  73.93896,              334.59047,  50.32136,       334.58638,       50.32842,    237.34388,     +73.93896,     237.37128,      +73.93784,  3039440.96, -2661401.17,  5057557.24,      51.566677,       -2.319837,  107925.40,  139392.60,    4114.29,             7753.12,   -36.66,  58952.40,           53942.80,    -17.83,     -4.20,          27.11,  +1.98,  +1.26
  3,     UK000S,       0,  0.175406, 2459436.506705823820, 236.98088,  73.21861,              333.52546,  50.06720,       333.52297,       50.07135,    236.98088,     +73.21861,     236.99680,      +73.21797,  3038556.14, -2662303.61,  5055635.36,      51.556608,       -2.337901,  106375.80,  137902.33,    6414.48,            10053.32,   -38.81,  57436.03,           53942.80,    -10.42,     -2.46,          16.02,  +1.71,  +1.01
  4,     UK000S,       0,  0.215466, 2459436.506706287619, 236.62007,  72.44276,              332.39246,  49.78218,       332.39136,       49.78394,    236.62007,     +72.44276,     236.62713,      +72.44250,  3037624.27, -2663254.02,  5053611.30,      51.545995,       -2.356916,  104744.28,  136357.21,    8836.98,            12475.82,    80.64,  60471.75,           55765.21,     -4.40,     -1.04,           6.83,  +2.15,  +1.48
  5,     UK000S,       0,  0.255538, 2459436.506706751417, 236.23141,  71.61746,              331.20784,  49.45586,       331.20131,       49.46592,    236.23141,     +71.61746,     236.26674,      +71.61604,  3036654.24, -2664243.36,  5051504.33,      51.534938,       -2.376705,  103046.45,  134776.33,   11358.70,            14997.54,   298.63,  62929.72,           57309.89,    -25.00,     -5.89,          39.32,  +2.79,  +2.14
  0,     UK001Z,       0,  0.000000, 2459436.506703994703,  39.77671,  70.50237,               30.65876,  49.64326,        30.66738,       49.65350,     39.77671,     +70.50237,      39.74270,      +70.49971,  3042396.08, -2658387.23,  5063975.92,      51.600253,       -2.259580,  113103.85,  147373.14,       0.00,               70.93,    62.89,      0.00,           58490.89,    -29.56,     -5.08,          41.98,  +4.31,  +3.47
  1,     UK001Z,       0,  0.039912, 2459436.506704456639,  39.50369,  70.72164,               30.36818,  49.78815,        30.34887,       49.76521,     39.50369,     +70.72164,      39.58075,      +70.72776,  3041474.01, -2659327.66,  5061973.12,      51.589785,       -2.278394,  111487.52,  145045.17,    2397.05,             2467.98,   165.40,  60058.38,           58490.89,     65.17,     11.03,          94.00,  +2.64,  +1.83
  2,     UK001Z,       0,  0.079884, 2459436.506704919506,  39.42789,  70.93884,               30.05247,  49.86765,        30.05263,       49.86784,     39.42789,     +70.93884,      39.42758,      +70.93879,  3040647.61, -2660170.51,  5060178.14,      51.580397,       -2.295274,  110039.30,  142960.48,    4545.37,             4616.30,    15.74,  53745.68,           58490.89,     -0.53,     -0.09,           0.78,  +2.27,  +1.49
  3,     UK001Z,       0,  0.119828, 2459436.506705381442,  39.26423,  71.19616,               29.68588,  49.98312,        29.69243,       49.99108,     39.26423,     +71.19616,      39.23759,      +71.19403,  3039675.65, -2661161.82,  5058066.99,      51.569347,       -2.315098,  108336.48,  140511.94,    7072.10,             7143.03,   246.09,  63256.78,           58490.89,    -21.77,     -3.74,          32.42,  +2.31,  +1.57
  4,     UK001Z,       0,  0.159760, 2459436.506705843844,  39.03982,  71.40576,               29.39623,  50.10355,        29.38820,       50.09375,     39.03982,     +71.40576,      39.07420,      +71.40843,  3038887.13, -2661966.02,  5056354.30,      51.560375,       -2.331213,  106955.42,  138527.07,    9121.94,             9192.87,     0.24,  51333.13,           57378.16,     26.40,      4.50,          39.87,  +2.02,  +1.31
  5,     UK001Z,       0,  0.199708, 2459436.506706306245,  38.86680,  71.65419,               29.03927,  50.21500,        29.03608,       50.21108,     38.86680,     +71.65419,      38.88126,      +71.65526,  3038003.88, -2662866.86,  5054435.82,      51.550319,       -2.349245,  105408.84,  136306.65,   11418.06,            11488.99,    -0.24,  57477.92,           57074.44,     10.37,      1.77,          15.92,  +2.34,  +1.67
  6,     UK001Z,       0,  0.239652, 2459436.506706768647,  38.67890,  71.91323,               28.66529,  50.33087,        28.66656,       50.33246,     38.67890,     +71.91323,      38.67436,      +71.91279,  3037111.12, -2663777.39,  5052496.69,      51.540147,       -2.367469,  103846.04,  134065.18,   13738.91,            13809.84,    24.23,  58102.42,           57076.11,     -4.10,     -0.70,           6.40,  +3.21,  +2.57
  7,     UK001Z,       0,  0.279576, 2459436.506707230583,  38.41036,  72.16488,               28.30831,  50.46654,        28.29681,       50.45211,     38.41036,     +72.16488,      38.46269,      +72.16895,  3036251.59, -2664654.03,  5050629.76,      51.530346,       -2.385022,  102341.84,  131909.82,   15973.34,            16044.27,   -36.56,  55967.20,           56984.44,     36.74,      6.25,          58.27,  +4.38,  +3.78

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.