Orbital Analysis for matched events on 20210816_005719.606_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.63° Bg 34.32° Vg 59.20km/s
mass 0.01246g, abs. mag -0.3
Path Details
------------
start -1.86° 53.37° 109.30km
end   -2.00° 53.31° 97.26km

Orbit Details
-------------
Semimajor axis 5.48A.U., eccentricity 0.84, inclination 117.93°, Period 12.82Y, LA Sun 143.11°, 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: 2459442.539810260758
Time: 2021-08-16 00:57:19.646803 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 62.51524 deg
 R.A. =  58.19649  Dec = +55.89055 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 62.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3574247.15 +/- 26.91 m
 Y =  -1507557.27 +/- 31.10 m
 Z =   5184629.75 +/- 54.67 m
 Vx =    18082.24 +/- 232.26 m/s
 Vy =    28731.37 +/- 266.67 m/s
 Vz =    49749.72 +/- 283.53 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.974626e+02, -1.456698e+02, -8.831009e+02, +3.741765e+03, -6.918920e+02, -5.893978e+03
-1.456698e+02, +1.036448e+03, +5.807937e+01, -2.019183e+03, +3.862991e+03, -3.287369e+03
-8.831009e+02, +5.807937e+01, +3.211233e+03, -5.229705e+03, -2.016622e+03, +1.390751e+04
+3.741765e+03, -2.019183e+03, -5.229705e+03, +2.081827e+04, -7.124833e+03, -2.663301e+04
-6.918920e+02, +3.862991e+03, -2.016622e+03, -7.124833e+03, +1.784602e+04, -1.945595e+04
-5.893978e+03, -3.287369e+03, +1.390751e+04, -2.663301e+04, -1.945595e+04, +8.712869e+04

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002Z: 0.000093 s

Reference point on the trajectory:
  Time: 2021-08-16 00:57:19.646803 UTC
  Lon     = +-1.847286 +/- 0.0004 deg
  Lat     = +53.377218 +/- 0.0004 deg
  Lat geo = +53.195941 +/- 0.0004 deg
  Ht      =  110757.33 +/- 39.11 m

  JD dynamic   = 2459442.540611467790 
  LST apparent = 337.1308017465 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.81552 +/- 0.2651 deg
  Dec       = +55.69141 +/- 0.2296 deg
  Azimuth   =  52.97440 +/- 0.3130 deg
  Elevation = +45.83768 +/- 0.1644 deg
  Vavg      =  57.73858 +/- 0.0952 km/s
  Vinit     =  60.22868 +/- 0.1806 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.89217 +/- 0.2651 deg
  Dec       = +55.47261 +/- 0.2296 deg
  Azimuth   =  53.20575 +/- 0.3130 deg
  Elevation = +45.68373 +/- 0.1644 deg
  Vavg      =  57.89638 +/- 0.0952 km/s
  Vinit     =  60.38647 +/- 0.1806 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.99116 +/- 0.2645 deg
  Dec    = +55.41255 +/- 0.2325 deg
  Vg     =  59.19781 +/- 0.1837 km/s
  Vinf   =  60.22868 +/- 0.1806 km/s
  Zc     =  44.27167 +/- 0.1641 deg
  Zg     =  44.67403 +/- 0.1669 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.63332 +/- 0.1955 deg
  Bg     = +34.32417 +/- 0.2242 deg
  Vh     =  39.87598 +/- 0.2715 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.88493 +/- 0.3532 deg
  Bh     = +56.83524 +/- 0.2191 deg
  Vh_x   =  -0.42451 +/- 0.1345 km/s
  Vh_y   = -21.80996 +/- 0.1166 km/s
  Vh_z   = -33.38021 +/- 0.2905 km/s
Orbit:
  La Sun = 143.108471 +/- -0.0000 deg
  a      =   5.477148 +/- 1.6917 AU
  e      =   0.835894 +/- 0.0222
  i      = 117.931849 +/- 0.2104 deg
  peri   = 138.856863 +/- 0.6633 deg
  node   = 143.107636 +/- 0.0000 deg
  Pi     = 281.964499 +/- 0.6634 deg
  q      =   0.898834 +/- 0.0027 AU
  f      =  41.139194 +/- 0.6633 deg
  M      =   2.189951 +/- 0.3852 deg
  Q      =  10.055461 +/- 3.3821 AU
  n      =   0.076891 +/- 0.0132 deg/day
  T      =  12.818356 +/- 7.5380 years
  Last perihelion JD = 2459414.059170 (2021-07-18 13:25:12.312886) +/- 0.5312 days
  Tj     =   0.422645 +/- 0.1288
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.349749e-04, +2.635241e-05, +1.129340e-02, +6.433694e-09, +2.041490e-04, -8.328495e-05
q   , +2.635241e-05, +7.456675e-06, +1.182646e-03, +5.540206e-10, +2.996620e-05, -7.180321e-06
Tp  , +1.129340e-02, +1.182646e-03, +3.022383e-01, +1.599941e-07, +6.336646e-03, -2.071896e-03
node, +6.433694e-09, +5.540206e-10, +1.599941e-07, +8.657602e-14, +3.222698e-09, -1.121015e-09
peri, +2.041490e-04, +2.996620e-05, +6.336646e-03, +3.222698e-09, +1.423055e-04, -4.174383e-05
i   , -8.328495e-05, -7.180321e-06, -2.071896e-03, -1.121015e-09, -4.174383e-05, +1.451539e-05

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: UK001L
  Avg. res. = 1.414e-05 s
  Stddev    = 3.76e-03 s

Begin point on the trajectory:
  Lon =    -1.864023 +/- 0.0002 deg
  Lat =    53.369667 +/- 0.0003 deg
  Ht  = 109296.00 +/- 31.38 m
End point on the trajectory:
  Lon =    -2.003195 +/- 0.0003 deg
  Lat =    53.307218 +/- 0.0003 deg
  Ht  = 97264.74 +/- 31.13 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   109296.00,    97264.74,          0.010140,     16.33,     31.01,              49.97, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_005715_906_0436736.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   106056.36,   101156.97,          0.011682,     17.50,     24.67,              82.85, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210816_005719_321_0432640.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,     UK001L,       1,  0.000000, 2459442.539810260758, 186.62070,  68.24820,              347.78293,  32.04366,       347.79027,       32.03466,    186.62070,     +68.24820,     186.59643,      +68.24196,  3574245.70, -1507559.57,  5184625.77,      53.377200,       -1.847157,  110753.87,  204294.65,       0.00,                4.83,   475.53,      0.00,           56400.73,     34.53,     18.17,          39.40,  +4.59,  +3.04
  1,     UK001L,       0,  0.040276, 2459442.539810726885, 187.25298,  67.87025,              347.36454,  31.77439,       347.35839,       31.78188,    187.25298,     +67.87025,     187.27325,      +67.87538,  3573635.52, -1508529.11,  5182946.97,      53.369667,       -1.864023,  109296.00,  203009.64,    2032.41,             2037.23,    82.17,  50461.95,           56400.73,    -28.66,    -15.10,          32.91,  +2.80,  +1.26
  2,     UK001L,       0,  0.080568, 2459442.539811193477, 188.04117,  67.45397,              346.85950,  31.49488,       346.86436,       31.48899,    188.04117,     +67.45397,     188.02581,      +67.45000,  3572942.08, -1509630.92,  5181039.13,      53.361099,       -1.883169,  107639.59,  201564.09,    4342.10,             4346.92,   -34.87,  57323.87,           56400.73,     22.44,     11.81,          25.95,  +1.71,  +0.19
  3,     UK001L,       0,  0.120908, 2459442.539811660070, 188.79458,  66.98180,              346.33791,  31.16390,       346.33309,       31.16970,    188.79458,     +66.98180,     188.81040,      +66.98564,  3572202.12, -1510806.67,  5179003.26,      53.351947,       -1.903591,  105872.44,  200039.42,    6806.79,             6811.62,     0.19,  61097.97,           56400.73,    -21.99,    -11.58,          25.62,  +1.08,  -0.43
  4,     UK001L,       0,  0.161248, 2459442.539812127128, 189.54626,  66.49845,              345.80493,  30.82774,       345.79376,       30.84108,    189.54626,     +66.49845,     189.58189,      +66.50715,  3571457.15, -1511990.37,  5176953.63,      53.342726,       -1.924153,  104093.80,  198523.67,    9288.15,             9292.97,    51.92,  61511.02,           57924.56,    -50.36,    -26.53,          59.15,  +0.52,  -0.97
  5,     UK001L,       0,  0.201576, 2459442.539812593721, 190.28252,  66.02751,              345.27701,  30.50616,       345.26823,       30.51659,    190.28252,     +66.02751,     190.31047,      +66.03421,  3570737.26, -1513134.22,  5174972.99,      53.333806,       -1.944030,  102375.45,  197077.78,   11685.97,            11690.79,    20.84,  59458.01,           58578.75,    -39.22,    -20.65,          46.39,  +0.14,  -1.33
  6,     UK001L,       0,  0.241908, 2459442.539813060779, 191.01217,  65.54429,              344.73965,  30.17756,       344.73506,       30.18297,    191.01217,     +65.54429,     191.02712,      +65.54772,  3570012.61, -1514285.65,  5172979.25,      53.324820,       -1.964040,  100646.15,  195641.35,   14099.66,            14104.49,     5.39,  59845.61,           58948.09,    -20.27,    -10.67,          24.16,  +0.11,  -1.35
  7,     UK001L,       0,  0.282256, 2459442.539813527837, 191.70374,  65.04228,              344.20388,  29.83072,       344.19535,       29.84072,    191.70374,     +65.04228,     191.73045,      +65.04850,  3569284.70, -1515442.25,  5170976.55,      53.315785,       -1.984142,   98909.51,  194218.11,   16524.20,            16529.03,    -0.17,  60090.69,           59197.24,    -37.31,    -19.65,          44.78,  +0.43,  -1.01
  8,     UK001L,       0,  0.322576, 2459442.539813994430, 192.37922,  64.56537,              343.68059,  29.50918,       343.68006,       29.50979,    192.37922,     +64.56537,     192.38212,      +64.56575,  3568595.13, -1516537.91,  5169079.35,      53.307218,       -2.003195,   97264.74,  192888.57,   18821.01,            18825.84,  -131.78,  56964.53,           59164.63,     -2.28,     -1.20,           2.75,  +2.80,  +1.37
  0,     UK002Z,       0,  0.110306, 2459442.539811427705, 285.92695,  29.39272,              259.11146,  45.13130,       259.08354,       45.13738,    285.92695,     +29.39272,     285.94883,      +29.38404,  3572279.14, -1510684.29,  5179215.17,      53.352900,       -1.901399,  106056.36,  148396.22,       0.00,             6555.08,   382.20,      0.00,           56699.06,    -43.54,     30.88,          74.20,  +3.34,  +2.48
  1,     UK002Z,       0,  0.150882, 2459442.539811897092, 285.58474,  28.71382,              258.78720,  44.42602,       258.77979,       44.42764,    285.58474,     +28.71382,     285.59106,      +28.71151,  3571703.24, -1511599.35,  5177630.70,      53.345773,       -1.917333,  104681.30,  148267.71,    1918.21,             8473.29,  -143.42,  47274.56,           56699.06,    -11.68,      8.28,          19.92,  +1.57,  +0.71
  2,     UK002Z,       0,  0.191654, 2459442.539812369272, 285.12257,  27.80869,              258.37974,  43.47790,       258.38393,       43.47699,    285.12257,     +27.80869,     285.12007,      +27.81000,  3570933.42, -1512822.54,  5175512.68,      53.336238,       -1.938579,  102843.63,  148132.17,    4482.35,            11037.43,   -34.93,  62889.60,           56699.06,      6.68,     -4.74,          11.41,  +1.26,  +0.41
  3,     UK002Z,       0,  0.232370, 2459442.539812840521, 284.70189,  26.97593,              258.01925,  42.60407,       258.03094,       42.60154,    284.70189,     +26.97593,     284.69365,      +26.97962,  3570226.68, -1513945.50,  5173568.24,      53.327476,       -1.958099,  101156.97,  148047.56,    6836.36,            13391.44,  -133.19,  57815.45,           56699.06,     18.90,    -13.42,          32.29,  +1.48,  +0.63

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.