Orbital Analysis for matched events on 20210810_225518.340_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.56° Bg 37.60° Vg 57.27km/s
mass 0.01168g, abs. mag 0.6
Path Details
------------
start -0.16° 52.49° 107.82km
end   -0.29° 52.41° 98.04km

Orbit Details
-------------
Semimajor axis 4.06A.U., eccentricity 0.77, inclination 113.13°, Period 8.19Y, LA Sun 138.23°, last Perihelion 2021-07-18

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: 2459437.455073391087
Time: 2021-08-10 22:55:18.381062 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000S
 Convergence angle = 57.33430 deg
 R.A. =  45.33077  Dec = +57.19632 deg

Best intersection: Stations UK000C and UK000S with Qconv = 57.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2173541.18 +/- 115.66 m
 Y =  -3306678.26 +/- 149.72 m
 Z =   5123509.12 +/- 335.58 m
 Vx =    22574.61 +/- 678.22 m/s
 Vy =    22381.03 +/- 568.16 m/s
 Vz =    48908.42 +/- 1036.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.076831e+04, +2.253242e+04, +5.395533e+04, -3.054869e+04, -9.300204e+04, -1.880404e+05
+2.253242e+04, +1.651973e+04, +3.983380e+04, -2.320026e+04, -6.977782e+04, -1.388398e+05
+5.395533e+04, +3.983380e+04, +1.001346e+05, -6.781941e+04, -1.918052e+05, -3.492310e+05
-3.054869e+04, -2.320026e+04, -6.781941e+04, +6.712328e+04, +1.664872e+05, +2.370054e+05
-9.300204e+04, -6.977782e+04, -1.918052e+05, +1.664872e+05, +4.305471e+05, +6.697667e+05
-1.880404e+05, -1.388398e+05, -3.492310e+05, +2.370054e+05, +6.697667e+05, +1.217994e+06

Timing offsets (from input data):
    UK000C: 0.000279 s
    UK000S: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 22:55:18.381062 UTC
  Lon     = +-0.143465 +/- 0.0025 deg
  Lat     = +52.502695 +/- 0.0023 deg
  Lat geo = +52.319803 +/- 0.0023 deg
  Ht      =  108932.29 +/- 228.08 m

  JD dynamic   = 2459437.455874595791 
  LST apparent = 303.3176634007 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.75328 +/- 0.4219 deg
  Dec       = +56.97757 +/- 0.2054 deg
  Azimuth   =  41.86201 +/- 0.3298 deg
  Elevation = +36.83015 +/- 0.1540 deg
  Vavg      =  58.14317 +/- 0.8932 km/s
  Vinit     =  58.33144 +/- 1.1012 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.65107 +/- 0.4219 deg
  Dec       = +56.74521 +/- 0.2054 deg
  Azimuth   =  42.12465 +/- 0.3298 deg
  Elevation = +36.71678 +/- 0.1540 deg
  Vavg      =  58.29781 +/- 0.8932 km/s
  Vinit     =  58.48608 +/- 1.1012 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.06675 +/- 0.3975 deg
  Dec    = +56.53856 +/- 0.2134 deg
  Vg     =  57.26618 +/- 1.1200 km/s
  Vinf   =  58.33144 +/- 1.1012 km/s
  Zc     =  53.30615 +/- 0.1541 deg
  Zg     =  53.83617 +/- 0.1465 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.55866 +/- 0.3185 deg
  Bg     = +37.60170 +/- 0.1710 deg
  Vh     =  39.14357 +/- 1.0633 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.41440 +/- 0.2287 deg
  Bh     = +63.21275 +/- 0.6420 deg
  Vh_x   =  -2.93763 +/- 0.2035 km/s
  Vh_y   = -17.39487 +/- 0.8783 km/s
  Vh_z   = -34.94293 +/- 0.7366 km/s
Orbit:
  La Sun = 138.225542 +/- -0.0000 deg
  a      =   4.064719 +/- 14.9486 AU
  e      =   0.767207 +/- 0.0945
  i      = 113.134716 +/- 0.6178 deg
  peri   = 147.876990 +/- 1.0108 deg
  node   = 138.224184 +/- 0.0000 deg
  Pi     = 286.101174 +/- 1.0107 deg
  q      =   0.946239 +/- 0.0011 AU
  f      =  32.118885 +/- 1.0108 deg
  M      =   2.843047 +/- nan deg
  Q      =   7.183198 +/- 29.8979 AU
  n      =   0.120270 +/- 0.0351 deg/day
  T      =   8.194951 +/- 399999978.2056 years
  Last perihelion JD = 2459413.817062 (2021-07-18 07:36:34.193959) +/- 1.2598 days
  Tj     =   0.834931 +/- 0.5413
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.014531e-02, +1.509170e-04, +1.576194e-01, -1.053197e-07, +2.412689e-03, +1.328031e-03
q   , +1.509170e-04, +2.457354e-06, +2.398966e-03, -1.326213e-09, +3.710790e-05, +1.674745e-05
Tp  , +1.576194e-01, +2.398966e-03, +2.462683e+00, -1.574794e-06, +3.779530e-02, +1.986366e-02
node, -1.053197e-07, -1.326213e-09, -1.574794e-06, +1.365621e-12, -2.366750e-08, -1.719202e-08
peri, +2.412689e-03, +3.710790e-05, +3.779530e-02, -2.366750e-08, +5.807527e-04, +2.985764e-04
i   , +1.328031e-03, +1.674745e-05, +1.986366e-02, -1.719202e-08, +2.985764e-04, +2.164354e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.004188
 a2 = 36.232036

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 5.502e-05 s
  Stddev    = 7.42e-03 s

Begin point on the trajectory:
  Lon =    -0.157756 +/- 0.0011 deg
  Lat =    52.492960 +/- 0.0014 deg
  Ht  = 107824.76 +/- 110.97 m
End point on the trajectory:
  Lon =    -0.285302 +/- 0.0004 deg
  Lat =    52.406621 +/- 0.0010 deg
  Ht  = 98041.57 +/- 82.24 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,   3.952222,  15.299777,   107427.83,    98041.57,          0.013182,     30.41,     22.89,              19.57, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210810_225511_412_0239616.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,  23.365232,   1.023497,   107824.76,    99155.04,          0.017479,     68.23,     23.38,              11.60, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_225515_481_0238848.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,  0.045725, 2459437.455073918216,  79.96320,  71.27081,               15.68541,  36.24418,        15.68507,       36.24683,     79.96320,     +71.27081,      79.95977,      +71.27321,  2172569.71, -3307641.40,  5121404.41,      52.489469,       -0.162901,  107427.83,  178881.37,       0.00,             2510.22,    66.76,      0.00,           58026.15,     -4.98,     -6.65,           9.58,  +2.85,  +1.59
  1,     UK000C,       0,  0.085669, 2459437.455074380618,  80.74674,  71.38910,               15.34369,  36.21386,        15.34304,       36.21881,     80.74674,     +71.38910,      80.74047,      +71.39360,  2171634.47, -3308568.62,  5119378.19,      52.476728,       -0.181755,  105980.04,  176616.44,    2416.61,             4926.83,   153.38,  60500.02,           58026.15,     -9.20,    -12.27,          17.91,  +1.45,  +0.21
  2,     UK000C,       0,  0.125605, 2459437.455074842554,  81.58799,  71.51626,               14.97828,  36.18523,        14.97793,       36.18776,     81.58799,     +71.51626,      81.58521,      +71.51857,  2170660.67, -3309534.07,  5117268.44,      52.463452,       -0.201376,  104473.18,  174262.77,    4932.84,             7443.06,   340.09,  63006.44,           58026.15,     -4.64,     -6.19,           9.16,  +1.46,  +0.25
  3,     UK000C,       0,  0.165561, 2459437.455075304955,  82.27803,  71.60752,               14.68791,  36.15338,        14.68664,       36.16240,     82.27803,     +71.60752,      82.26718,      +71.61583,  2169904.26, -3310283.99,  5115629.65,      52.453133,       -0.216652,  103303.10,  172437.25,    6887.36,             9397.58,   -36.08,  48916.94,           58026.15,    -16.37,    -21.84,          32.65,  +1.78,  +0.60
  4,     UK000C,       0,  0.205509, 2459437.455075767357,  83.00422,  71.71012,               14.37930,  36.12826,        14.37837,       36.13473,     83.00422,     +71.71012,      82.99696,      +71.71611,  2169119.87, -3311061.66,  5113930.25,      52.442426,       -0.232486,  102090.13,  170547.47,    8914.18,            11424.40,  -339.49,  50736.34,           55822.90,    -11.64,    -15.52,          23.46,  +1.53,  +0.37
  5,     UK000C,       0,  0.245441, 2459437.455076229759,  83.92429,  71.83500,               13.99303,  36.09601,        13.99263,       36.09874,     83.92429,     +71.83500,      83.92200,      +71.83755,  2168158.87, -3312014.42,  5111848.21,      52.429301,       -0.251845,  100604.60,  168237.24,   11397.36,            13907.58,  -185.60,  62185.26,           56102.06,     -4.84,     -6.45,           9.89,  +1.31,  +0.18
  6,     UK000C,       0,  0.285369, 2459437.455076691695,  84.76733,  71.95314,               13.63849,  36.07363,        13.63984,       36.06482,     84.76733,     +71.95314,      84.77896,      +71.94488,  2167302.95, -3312863.00,  5109993.84,      52.417603,       -0.269102,   99282.01,  166183.73,   13609.01,            16119.23,  -303.01,  55390.85,           56125.60,     15.47,     20.59,          31.96,  +1.43,  +0.33
  7,     UK000C,       0,  0.325293, 2459437.455077153631,  85.57221,  72.07616,               13.29560,  36.06479,        13.30084,       36.03128,     85.57221,     +72.07616,      85.61223,      +72.04456,  2166499.92, -3313659.14,  5108254.07,      52.406621,       -0.285302,   98041.57,  164260.88,   15683.97,            18194.20,  -556.87,  51972.96,           55789.54,     58.25,     77.35,         121.59,  +3.04,  +1.96
  0,     UK000S,       1,  0.000000, 2459437.455073391087,  66.71622,  55.51207,               30.97447,  25.72672,        31.05332,       25.66903,     66.71622,     +55.51207,      66.67196,      +55.42406,  2173393.61, -3306824.56,  5123189.41,      52.500687,       -0.146247,  108703.72,  242396.59,       0.00,              381.31,   605.05,      0.00,           51801.98,   -123.37,    367.00,         329.47,  +5.24,  +3.32
  1,     UK000S,       0,  0.040076, 2459437.455073854886,  66.81538,  55.43588,               30.97183,  25.63207,        30.99952,       25.61199,     66.81538,     +55.43588,      66.79973,      +55.40512,  2172826.06, -3307387.25,  5121959.80,      52.492960,       -0.157756,  107824.76,  240958.12,    1466.52,             1847.83,  -266.12,  36593.59,           51801.98,    -43.54,    127.54,         115.36,  +3.50,  +1.59
  2,     UK000S,       0,  0.080172, 2459437.455074319150,  66.97618,  55.36887,               30.93126,  25.52489,        30.92385,       25.53023,     66.97618,     +55.36887,      66.98081,      +55.37707,  2172027.18, -3308179.28,  5120229.01,      52.482079,       -0.173886,  106587.90,  238936.26,    3530.78,             3912.09,  -540.72,  51482.78,           51801.98,     11.63,    -33.73,          30.80,  +2.59,  +0.70
  3,     UK000S,       0,  0.120284, 2459437.455074783415,  67.22555,  55.34739,               30.81579,  25.42646,        30.82373,       25.42072,     67.22555,     +55.34739,      67.22141,      +55.33859,  2170980.62, -3309216.87,  5117961.61,      52.467815,       -0.194963,  104968.19,  236290.53,    6235.03,             6616.34,  -176.26,  67417.55,           51801.98,    -12.30,     35.84,          33.07,  +1.79,  -0.08
  4,     UK000S,       0,  0.160392, 2459437.455075247679,  67.45745,  55.31864,               30.71366,  25.32791,        30.72884,       25.31694,     67.45745,     +55.31864,      67.44918,      +55.30183,  2170010.06, -3310179.10,  5115858.87,      52.454576,       -0.214518,  103466.74,  233837.85,    8742.90,             9124.21,    -7.95,  62527.87,           55499.22,    -23.21,     67.83,          63.23,  +1.73,  -0.11
  5,     UK000S,       0,  0.200512, 2459437.455075711943,  67.66476,  55.24614,               30.65133,  25.20134,        30.63439,       25.21351,     67.66476,     +55.24614,      67.67573,      +55.26484,  2169063.02, -3311118.02,  5113807.09,      52.441650,       -0.233601,  102002.26,  231445.75,   11189.98,            11571.29,    98.88,  60994.13,           57340.69,     25.79,    -74.72,          70.45,  +1.68,  -0.14
  6,     UK000S,       0,  0.240612, 2459437.455076175742,  67.88075,  55.21872,               30.55600,  25.10928,        30.54583,       25.11660,     67.88075,     +55.21872,      67.88788,      +55.22995,  2168193.03, -3311980.55,  5111922.24,      52.429768,       -0.251143,  100657.42,  229248.95,   13437.99,            13819.29,     7.79,  56059.90,           57860.92,     15.32,    -44.49,          42.34,  +1.91,  +0.11
  7,     UK000S,       0,  0.280728, 2459437.455076640472,  68.12199,  55.17885,               30.45494,  24.99899,        30.44530,       25.00592,     68.12199,     +55.17885,      68.12903,      +55.18949,  2167220.75, -3312944.49,  5109815.76,      52.416479,       -0.270725,   99155.04,  226795.82,   15950.31,            16331.62,   180.09,  62626.43,           58474.92,     14.36,    -41.73,          40.13,  +2.12,  +0.34
  8,     UK000S,       1,  0.320832, 2459437.455077104270,  68.30495,  55.12060,               30.39531,  24.89221,        30.36273,       24.91555,     68.30495,     +55.12060,      68.32636,      +55.15645,  2166441.43, -3313717.13,  5108127.35,      52.405821,       -0.286452,   97951.26,  224829.51,   17964.02,            18345.33,  -145.53,  50212.22,           58210.59,     48.31,   -139.60,         135.53,  +5.56,  +3.80

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.