Orbital Analysis for matched events on 20210816_215959.542_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 70.49° Bg 37.17° Vg 56.60km/s
mass 0.04673g, abs. mag -0.9
Path Details
------------
start 0.11° 52.85° 108.92km
end   0.00° 52.74° 100.36km

Orbit Details
-------------
Semimajor axis 3.76A.U., eccentricity 0.76, inclination 112.01°, Period 7.30Y, LA Sun 143.95°, last Perihelion 2021-07-17

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: 2459443.416661368683
Time: 2021-08-16 21:59:59.542254 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 24.61994 deg
 R.A. =  58.56439  Dec = +59.00745 deg

Best intersection: Stations UK002F and UK002K with Qconv = 24.62 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1697389.72 +/- 180.21 m
 Y =  -3540097.32 +/- 110.85 m
 Z =   5147265.53 +/- 378.28 m
 Vx =    15213.28 +/- 649.37 m/s
 Vy =    25402.47 +/- 941.81 m/s
 Vz =    49492.64 +/- 1210.44 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.388149e+04, +2.014380e+04, +7.389218e+04, +7.566898e+04, -8.749570e+03, +1.127288e+05
+2.014380e+04, +1.504140e+04, +4.717671e+04, +4.263411e+04, +1.706661e+03, +6.801895e+04
+7.389218e+04, +4.717671e+04, +1.655192e+05, +1.588808e+05, -1.326051e+04, +2.431002e+05
+7.566898e+04, +4.263411e+04, +1.588808e+05, +3.554747e+05, -2.389404e+04, +5.421460e+05
-8.749570e+03, +1.706661e+03, -1.326051e+04, -2.389404e+04, +2.739697e+04, -2.770656e+04
+1.127288e+05, +6.801895e+04, +2.431002e+05, +5.421460e+05, -2.770656e+04, +8.408697e+05

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -0.003037 s

Reference point on the trajectory:
  Time: 2021-08-16 21:59:59.542254 UTC
  Lon     = ++0.107977 +/- 0.0030 deg
  Lat     = +52.848306 +/- 0.0022 deg
  Lat geo = +52.666013 +/- 0.0022 deg
  Ht      =  108981.23 +/- 293.18 m

  JD dynamic   = 2459443.417462109588 
  LST apparent = 295.6165737450 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  59.08303 +/- 0.8859 deg
  Dec       = +59.10948 +/- 0.1753 deg
  Azimuth   =  29.92971 +/- 0.3094 deg
  Elevation = +30.86382 +/- 0.4068 deg
  Vavg      =  57.49827 +/- 1.2010 km/s
  Vinit     =  57.67366 +/- 1.3061 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  58.77999 +/- 0.8859 deg
  Dec       = +58.90596 +/- 0.1753 deg
  Azimuth   =  30.21603 +/- 0.3094 deg
  Elevation = +30.79086 +/- 0.4068 deg
  Vavg      =  57.62146 +/- 1.2010 km/s
  Vinit     =  57.79685 +/- 1.3061 km/s
Radiant (geocentric, J2000):
  R.A.   =  59.33091 +/- 0.8995 deg
  Dec    = +58.54926 +/- 0.1957 deg
  Vg     =  56.59601 +/- 1.3290 km/s
  Vinf   =  57.67366 +/- 1.3061 km/s
  Zc     =  59.29420 +/- 0.4073 deg
  Zg     =  59.90929 +/- 0.4305 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  70.48834 +/- 0.5021 deg
  Bg     = +37.17120 +/- 0.3091 deg
  Vh     =  38.94354 +/- 1.2291 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  96.07269 +/- 1.9194 deg
  Bh     = +61.41087 +/- 0.4288 deg
  Vh_x   =   1.97145 +/- 0.6296 km/s
  Vh_y   = -18.53090 +/- 0.7702 km/s
  Vh_z   = -34.19530 +/- 1.0197 km/s
Orbit:
  La Sun = 143.951201 +/- 0.0000 deg
  a      =   3.762833 +/- 47.0142 AU
  e      =   0.763025 +/- 0.1049
  i      = 112.009006 +/- 0.7044 deg
  peri   = 136.409652 +/- 3.5322 deg
  node   = 143.949684 +/- 0.0001 deg
  Pi     = 280.359336 +/- 3.5322 deg
  q      =   0.891699 +/- 0.0126 AU
  f      =  43.586279 +/- 3.5323 deg
  M      =   4.131508 +/- nan deg
  Q      =   6.633968 +/- 94.0247 AU
  n      =   0.135031 +/- 0.0366 deg/day
  T      =   7.299164 +/- 339934554.6123 years
  Last perihelion JD = 2459412.820589 (2021-07-17 07:41:38.927249) +/- 2.2738 days
  Tj     =   0.971132 +/- 0.6243
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.326578e-03, +1.019622e-03, +2.025894e-01, -3.745139e-08, +4.711378e-03, +4.872670e-04
q   , +1.019622e-03, +2.041113e-04, +3.991011e-02, -6.657812e-09, +9.343170e-04, +8.662833e-05
Tp  , +2.025894e-01, +3.991011e-02, +7.849736e+00, -1.362460e-06, +1.833183e-01, +1.772769e-02
node, -3.745139e-08, -6.657812e-09, -1.362460e-06, +3.141046e-13, -3.130832e-08, -4.087386e-09
peri, +4.711378e-03, +9.343170e-04, +1.833183e-01, -3.130832e-08, +4.285448e-03, +4.073695e-04
i   , +4.872670e-04, +8.662833e-05, +1.772769e-02, -4.087386e-09, +4.073695e-04, +5.318875e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 28.192346
 a2 = 0.000007

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 3.017e-05 s
  Stddev    = 5.49e-03 s

Begin point on the trajectory:
  Lon =     0.107185 +/- 0.0037 deg
  Lat =    52.847474 +/- 0.0027 deg
  Ht  = 108916.28 +/- 350.27 m
End point on the trajectory:
  Lon =     0.001706 +/- 0.0025 deg
  Lat =    52.737457 +/- 0.0018 deg
  Ht  = 100359.99 +/- 250.39 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,  35.355339,   0.000000,   108916.28,   100359.99,          0.024613,     73.64,      1.84,              11.16, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_215953_846_0172032.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   108412.62,   100432.80,          0.012825,     27.47,     13.72,              83.32, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_215959_198_0170496.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,     UK002F,       0,  0.000000, 2459443.416661368683,  36.10953,  57.00160,               41.32271,  36.19089,        41.33795,       36.16865,     36.10953,     +57.00160,      36.12510,      +56.97764,  1697356.32, -3540153.08,  5147156.88,      52.847474,       +0.107185,  108916.28,  181608.78,       0.00,              126.61,  -527.82,      0.00,           63448.82,     -2.26,     80.54,          91.51,  +3.78,  +2.48
  1,     UK002F,       0,  0.039972, 2459443.416661831550,  35.81196,  56.90607,               41.54466,  36.24915,        41.53732,       36.25997,     35.81196,     +56.90607,      35.80444,      +56.91766,  1696633.20, -3541360.52,  5144804.39,      52.829451,       +0.089888,  107510.40,  178924.87,    2741.35,             2867.96,   -91.80,  68581.77,           63448.82,      0.97,    -38.51,          44.40,  +2.69,  +1.43
  2,     UK002F,       0,  0.079896, 2459443.416662293486,  35.50814,  56.87434,               41.71027,  36.35277,        41.71736,       36.34234,     35.50814,     +56.87434,      35.51592,      +56.86317,  1695998.32, -3542420.61,  5142738.97,      52.813618,       +0.074686,  106276.77,  176569.30,    5148.18,             5274.79,    12.46,  60285.28,           63448.82,     -1.00,     36.61,          42.79,  +1.62,  +0.39
  3,     UK002F,       0,  0.119840, 2459443.416662755888,  35.20468,  56.81010,               41.90614,  36.43532,        41.90987,       36.42981,     35.20468,     +56.81010,      35.20916,      +56.80422,  1695339.51, -3543520.67,  5140595.68,      52.797181,       +0.058923,  104997.30,  174126.76,    7645.75,             7772.36,   206.32,  62526.90,           63448.82,     -0.52,     19.06,          22.58,  +2.29,  +1.09
  4,     UK002F,       0,  0.159836, 2459443.416663218755,  34.99396,  56.71685,               42.08788,  36.46105,        42.06225,       36.49941,     34.99396,     +56.71685,      34.96657,      +56.75759,  1694829.23, -3544372.72,  5138935.60,      52.784443,       +0.046680,  104006.76,  172234.68,    9580.23,             9706.84,  -165.92,  48366.85,           60230.87,      3.06,   -130.86,         156.75,  +1.62,  +0.44
  5,     UK002F,       0,  0.199740, 2459443.416663680691,  34.66030,  56.69485,               42.25802,  36.58490,        42.25664,       36.58696,     34.66030,     +56.69485,      34.65962,      +56.69704,  1694198.11, -3545426.53,  5136882.41,      52.768682,       +0.031583,  102782.24,  169897.49,   11972.81,            12099.42,   -74.75,  59958.38,           59273.28,      0.19,     -6.93,           8.42,  +1.38,  +0.23
  6,     UK002F,       0,  0.239696, 2459443.416664143093,  34.33437,  56.59964,               42.49375,  36.65825,        42.47604,       36.68486,     34.33437,     +56.59964,      34.31558,      +56.62777,  1693508.66, -3546577.74,  5134639.47,      52.751455,       +0.015111,  101445.30,  167346.82,   14586.51,            14713.12,   234.54,  65414.30,           59589.22,      2.20,    -88.09,         108.60,  +1.91,  +0.79
  7,     UK002F,       0,  0.279644, 2459443.416664605495,  34.04989,  56.53957,               42.67801,  36.73791,        42.65897,       36.76661,     34.04989,     +56.53957,      34.02954,      +56.56983,  1692948.70, -3547512.74,  5132817.78,      52.737457,       +0.001706,  100359.99,  165275.56,   16709.32,            16835.93,    53.41,  53139.44,           59183.41,      2.34,    -93.72,         117.00,  +2.33,  +1.24
  0,     UK002K,       0,  0.004566, 2459443.416662372183, 309.71623,  16.86023,              157.16360,  51.59768,       157.17905,       51.60664,    309.71623,     +16.86023,     309.70460,      +16.86661,  1697097.31, -3540585.57,  5146314.25,      52.841019,       +0.100686,  108412.62,  137561.33,       0.00,             1108.53,   190.77,      0.00,           56398.80,     14.09,    -28.21,          47.29,  +1.78,  +1.09
  1,     UK002K,       0,  0.044834, 2459443.416662838310, 309.25181,  16.09217,              158.14480,  50.95617,       158.14547,       50.95656,    309.25181,     +16.09217,     309.25182,      +16.09245,  1696535.01, -3541524.47,  5144484.95,      52.827002,       +0.087199,  107319.57,  137391.87,    2131.67,             3240.20,     0.04,  52937.11,           56398.80,      0.61,     -1.22,           2.06,  +0.95,  +0.26
  2,     UK002K,       0,  0.085154, 2459443.416663304903, 308.78123,  15.24060,              159.14179,  50.22823,       159.16474,       50.24121,    308.78123,     +15.24060,     308.76414,      +15.25005,  1695925.36, -3542542.45,  5142501.59,      52.811798,       +0.072593,  106135.02,  137245.68,    4442.88,             5551.41,   -14.16,  57321.57,           56398.80,     20.97,    -42.00,          70.55,  +0.58,  -0.11
  3,     UK002K,       0,  0.125462, 2459443.416663771495, 308.27557,  14.38197,              160.16730,  49.49391,       160.17723,       49.49946,    308.27557,     +14.38197,     308.26873,      +14.38605,  1695302.02, -3543583.26,  5140473.73,      52.796245,       +0.057669,  104924.52,  137136.54,    6805.94,             7914.47,    24.20,  58625.24,           56398.80,      9.11,    -18.23,          30.65,  +0.62,  -0.07
  4,     UK002K,       0,  0.165798, 2459443.416664238088, 307.76470,  13.47322,              161.19010,  48.70444,       161.20537,       48.71288,    307.76470,     +13.47322,     307.75387,      +13.47951,  1694649.65, -3544672.58,  5138351.38,      52.779959,       +0.042063,  103658.27,  137066.14,    9279.11,            10387.64,   171.04,  61314.19,           57636.14,     14.06,    -28.13,          47.33,  +0.44,  -0.24
  5,     UK002K,       0,  0.206098, 2459443.416664704680, 307.31996,  12.68187,              162.05894,  48.01119,       162.07598,       48.02051,    307.31996,     +12.68187,     307.30790,      +12.68890,  1694081.68, -3545620.94,  5136503.64,      52.765774,       +0.028459,  102556.42,  137041.00,   11432.28,            12540.81,    -0.04,  53428.42,           57388.48,     15.74,    -31.51,          53.01,  +0.27,  -0.41
  6,     UK002K,       0,  0.246414, 2459443.416665171273, 306.83383,  11.82566,              162.98415,  47.25614,       162.99425,       47.26161,    306.83383,     +11.82566,     306.82732,      +11.82983,  1693465.21, -3546650.29,  5134498.12,      52.750369,       +0.013712,  101361.06,  137052.34,   13769.31,            14877.84,    11.82,  57967.79,           57362.11,      9.39,    -18.78,          31.60,  +0.71,  +0.03
  7,     UK002K,       0,  0.286674, 2459443.416665637400, 306.46692,  11.15514,              163.67382,  46.65839,       163.69083,       46.66754,    306.46692,     +11.15514,     306.45515,      +11.16217,  1692986.29, -3547449.97,  5132940.07,      52.738397,       +0.002222,  100432.80,  137088.26,   15584.89,            16693.42,  -494.54,  45096.49,           56330.39,     15.86,    -31.73,          53.38,  +2.63,  +1.94

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.