Orbital Analysis for matched events on 20210810_021006.170_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.34° Bg 38.48° Vg 65.90km/s
mass 0.00863g, abs. mag -0.0
Path Details
------------
start 1.60° 54.24° 110.53km
end   1.49° 54.21° 96.43km

Orbit Details
-------------
Semimajor axis -1.66A.U., eccentricity 1.57, inclination 116.23°, Period 1000000000.00Y, LA Sun 137.40°, 

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: 2459436.590349201113
Time: 2021-08-10 02:10:06.170976 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002K
 Convergence angle = 35.90316 deg
 R.A. =  46.17085  Dec = +57.74386 deg

Best intersection: Stations UK0026 and UK002K with Qconv = 35.90 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3770937.52 +/- 57.61 m
 Y =   -469208.80 +/- 174.28 m
 Z =   5242242.60 +/- 236.13 m
 Vx =    23366.87 +/- 1804.50 m/s
 Vy =    26257.26 +/- 1400.92 m/s
 Vz =    56838.14 +/- 1818.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002K: 0.000841 s

Reference point on the trajectory:
  Time: 2021-08-10 02:10:06.170976 UTC
  Lon     = ++1.599316 +/- 0.0025 deg
  Lat     = +54.241825 +/- 0.0017 deg
  Lat geo = +54.062253 +/- 0.0018 deg
  Ht      =  110523.09 +/- 150.28 m

  JD dynamic   = 2459436.591149942018 
  LST apparent = 352.9072760402 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.33346 +/- 2.0552 deg
  Dec       = +58.26712 +/- 0.4163 deg
  Azimuth   =  59.52878 +/- 1.4416 deg
  Elevation = +59.83627 +/- 0.9623 deg
  Vavg      =  65.46812 +/- 1.9496 km/s
  Vinit     =  66.82835 +/- 1.8323 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.58813 +/- 2.0552 deg
  Dec       = +58.10079 +/- 0.4163 deg
  Azimuth   =  59.76685 +/- 1.4416 deg
  Elevation = +59.65934 +/- 0.9623 deg
  Vavg      =  65.58859 +/- 1.9496 km/s
  Vinit     =  66.94882 +/- 1.8323 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.30560 +/- 2.0421 deg
  Dec    = +58.12556 +/- 0.4190 deg
  Vg     =  65.90073 +/- 1.8618 km/s
  Vinf   =  66.82835 +/- 1.8323 km/s
  Zc     =  30.25515 +/- 0.9661 deg
  Zg     =  30.47165 +/- 0.9609 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.33868 +/- 1.4935 deg
  Bg     = +38.48480 +/- 0.1627 deg
  Vh     =  47.78271 +/- 1.8360 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.88350 +/- 2.1444 deg
  Bh     = +59.12551 +/- 1.4050 deg
  Vh_x   =  -3.46191 +/- 0.3544 km/s
  Vh_y   = -24.27452 +/- 1.9074 km/s
  Vh_z   = -41.01159 +/- 1.1396 km/s
Orbit:
  La Sun = 137.395819 +/- nan deg
  a      =  -1.664530 +/- 11.5150 AU
  e      =   1.566794 +/- 0.1726
  i      = 116.234186 +/- 0.8354 deg
  peri   = 152.422860 +/- 1.0895 deg
  node   = 137.395542 +/- 0.0001 deg
  Pi     = 289.818403 +/- 1.0896 deg
  q      =   0.943446 +/- 0.0078 AU
  f      =  27.573307 +/- 1.0895 deg
  M      =        nan +/- nan deg
  Q      =  -4.272506 +/- 23.0318 AU
  n      =   0.458952 +/- 0.1159 deg/day
  T      = 1000000000.000000 +/- 249443823.0270 years
  Last perihelion JD = NaN 
  Tj     =  -3.729638 +/- 0.9783
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

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: UK0026
  Avg. res. = 8.195e-06 s
  Stddev    = 2.86e-03 s

Begin point on the trajectory:
  Lon =     1.599335 +/- 0.0026 deg
  Lat =    54.241831 +/- 0.0018 deg
  Ht  = 110525.60 +/- 164.94 m
End point on the trajectory:
  Lon =     1.491699 +/- 0.0024 deg
  Lat =    54.205008 +/- 0.0016 deg
  Ht  = 96430.60 +/- 134.11 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   110525.60,    96430.60,          0.013218,     46.80,      1.28,              33.27, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210810_021001_351_0526336.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.494593,  25.352813,   106546.46,    97704.41,          0.029549,     75.10,     54.23,              25.56, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_021004_444_0520192.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,     UK0026,       0,  0.000000, 2459436.590349201113, 106.05961,  55.56117,               36.82516,  31.05392,        36.84748,       31.04655,    106.05961,     +55.56117,     106.04189,      +55.54330,  3770938.54,  -469207.66,  5242245.08,      54.241831,       +1.599335,  110525.60,  209478.77,       0.00,                2.91,   -78.45,      0.00,           66306.03,      2.09,     74.89,          73.77,  +5.16,  +3.55
  1,     UK0026,       0,  0.040364, 2459436.590349668171, 106.68708,  55.33791,               36.67016,  30.65545,        36.66940,       30.65570,    106.68708,     +55.33791,     106.68785,      +55.33851,  3769898.90,  -470375.89,  5239716.24,      54.235136,       +1.579746,  107955.02,  206920.65,    2973.32,             2970.41,   191.59,  73662.71,           66306.03,     -0.07,     -2.51,           2.50,  +3.49,  +1.91
  2,     UK0026,       0,  0.080680, 2459436.590350134764, 107.23547,  55.15570,               36.52146,  30.31707,        36.51657,       30.31868,    107.23547,     +55.15570,     107.23979,      +55.15960,  3769022.68,  -471360.51,  5237584.88,      54.229487,       +1.563204,  105788.73,  204772.52,    5479.30,             5476.39,     3.32,  62158.45,           66306.03,     -0.44,    -16.12,          16.24,  +2.70,  +1.14
  3,     UK0026,       0,  0.121012, 2459436.590350601822, 107.80252,  54.95146,               36.37556,  29.95473,        36.35583,       29.96122,    107.80252,     +54.95146,     107.81932,      +54.96718,  3768113.51,  -472382.14,  5235373.40,      54.223620,       +1.546038,  103541.24,  202552.67,    8079.48,             8076.57,   -91.82,  64469.48,           66306.03,     -1.74,    -64.63,          65.83,  +2.37,  +0.84
  4,     UK0026,       0,  0.161376, 2459436.590351068880, 108.43699,  54.74390,               36.19298,  29.56562,        36.18133,       29.56946,    108.43699,     +54.74390,     108.44741,      +54.75316,  3767140.16,  -473475.88,  5233005.81,      54.217331,       +1.527665,  101135.39,  200186.82,   10863.22,            10860.31,    -5.54,  68965.78,           66516.43,     -1.03,    -37.84,          39.01,  +2.07,  +0.56
  5,     UK0026,       0,  0.201732, 2459436.590351535939, 109.06587,  54.53754,               36.00816,  29.17950,        36.00887,       29.17927,    109.06587,     +54.53754,     109.06611,      +54.53698,  3766193.49,  -474539.65,  5230703.11,      54.211207,       +1.509784,   98795.75,  197896.21,   13570.65,            13567.74,     4.97,  67088.76,           66658.33,      0.06,      2.28,           2.38,  +1.94,  +0.46
  6,     UK0026,       0,  0.242112, 2459436.590352003463, 109.68176,  54.29462,               35.85123,  28.76890,        35.83182,       28.77527,    109.68176,     +54.29462,     109.69940,      +54.30997,  3765236.39,  -475615.14,  5228375.04,      54.205008,       +1.491699,   96430.60,  195591.38,   16307.92,            16305.01,    43.71,  67787.76,           66830.12,     -1.69,    -61.99,          65.40,  +2.66,  +1.20
  0,     UK002K,       0,  0.062146, 2459436.590349917766,  81.91595,  45.52723,               58.22874,  34.52035,        58.18362,       34.52010,     81.91595,     +45.52723,      81.95324,      +45.55386,  3769329.18,  -471016.09,  5238330.42,      54.231464,       +1.569010,  106546.46,  184797.83,       0.00,             4599.81,   365.36,      0.00,           63943.13,     70.42,    -97.05,         133.83,  +3.55,  +2.22
  1,     UK002K,       0,  0.102334, 2459436.590350382961,  82.25039,  45.34773,               58.18794,  34.22683,        58.18348,       34.22681,     82.25039,     +45.34773,      82.25449,      +45.35037,  3768518.97,  -471926.52,  5236359.65,      54.226237,       +1.553698,  104543.52,  182674.80,    2317.17,             6916.98,    -3.17,  57658.22,           63943.13,      6.89,     -9.52,          13.27,  +2.36,  +1.05
  2,     UK002K,       0,  0.142546, 2459436.590350848157,  82.58012,  45.13975,               58.17272,  33.91539,        58.18342,       33.91543,     82.58012,     +45.13975,      82.57187,      +45.13342,  3767679.09,  -472870.29,  5234316.71,      54.220814,       +1.537825,  102467.43,  180479.49,    4719.19,             9319.00,  -288.45,  59733.85,           63943.13,    -16.38,     22.68,          31.97,  +2.18,  +0.90
  3,     UK002K,       0,  0.182814, 2459436.590351314284,  83.02716,  44.88011,               58.12959,  33.50794,        58.18392,       33.50812,     83.02716,     +44.88011,      82.98288,      +44.84797,  3766611.64,  -474069.78,  5231720.22,      54.213913,       +1.517689,   99829.14,  177699.37,    7772.05,            12371.86,    73.37,  75813.74,           63943.13,    -82.09,    114.02,         163.08,  +1.53,  +0.28
  4,     UK002K,       0,  0.223062, 2459436.590351780411,  83.34821,  44.63134,               58.14930,  33.17091,        58.18390,       33.17104,     83.34821,     +44.63134,      83.32033,      +44.61089,  3765751.88,  -475035.89,  5229628.92,      54.208348,       +1.501430,   97704.41,  175465.33,   10230.93,            14830.74,  -157.47,  61093.02,           64420.57,    -51.87,     71.96,         104.27,  +1.61,  +0.39

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.