Orbital Analysis for matched events on 20210816_022629.219_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.28° Bg 39.07° Vg 55.53km/s
mass 0.01368g, abs. mag 0.0
Path Details
------------
start -0.15° 52.35° 104.45km
end   -0.22° 52.32° 94.06km

Orbit Details
-------------
Semimajor axis 3.29A.U., eccentricity 0.72, inclination 109.51°, Period 5.97Y, LA Sun 143.17°, last Perihelion 2021-07-19

Full details below
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Detailed report below graphs

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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: 2459442.601727080066
Time: 2021-08-16 02:26:29.257014 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002F
 Convergence angle = 25.53327 deg
 R.A. =  59.66819  Dec = +58.37519 deg

Best intersection: Stations UK002C and UK002F with Qconv = 25.53 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3967754.19 +/- 395.75 m
 Y =     82286.99 +/- 1439.44 m
 Z =   5109928.99 +/- 2105.18 m
 Vx =    16973.59 +/- 2347.99 m/s
 Vy =    22891.79 +/- 2972.55 m/s
 Vz =    48937.88 +/- 4274.28 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):
    UK002C: -0.010957 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:26:29.257014 UTC
  Lon     = +-0.141076 +/- 0.0206 deg
  Lat     = +52.348688 +/- 0.0084 deg
  Lat geo = +52.165432 +/- 0.0085 deg
  Ht      =  105204.65 +/- 1925.95 m

  JD dynamic   = 2459442.602528252639 
  LST apparent = 1.1880831045 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.44415 +/- 2.7074 deg
  Dec       = +59.78646 +/- 0.5953 deg
  Azimuth   =  54.48605 +/- 0.5794 deg
  Elevation = +60.73372 +/- 1.4845 deg
  Vavg      =  55.52781 +/- 7.6043 km/s
  Vinit     =  56.63084 +/- 4.5917 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.79747 +/- 2.7074 deg
  Dec       = +59.58631 +/- 0.5953 deg
  Azimuth   =  54.83102 +/- 0.5794 deg
  Elevation = +60.52579 +/- 1.4845 deg
  Vavg      =  55.64359 +/- 7.6043 km/s
  Vinit     =  56.74662 +/- 4.5917 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.57806 +/- 2.6629 deg
  Dec    = +59.67033 +/- 0.5976 deg
  Vg     =  55.53235 +/- 4.6561 km/s
  Vinf   =  56.63084 +/- 4.5917 km/s
  Zc     =  29.37308 +/- 1.4835 deg
  Zg     =  29.66722 +/- 1.4666 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.28257 +/- 1.5164 deg
  Bg     = +39.07218 +/- 0.9110 deg
  Vh     =  38.50501 +/- 4.1890 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.54712 +/- 1.4316 deg
  Bh     = +65.37108 +/- 3.1770 deg
  Vh_x   =   0.71313 +/- 0.6137 km/s
  Vh_y   = -16.03071 +/- 4.4164 km/s
  Vh_z   = -35.00205 +/- 2.1902 km/s
Orbit:
  La Sun = 143.167972 +/- 0.0000 deg
  a      =   3.292324 +/- 2.0356 AU
  e      =   0.718206 +/- 0.4219
  i      = 109.512537 +/- 2.9551 deg
  peri   = 143.073007 +/- 2.3506 deg
  node   = 143.168362 +/- 0.0002 deg
  Pi     = 286.241369 +/- 2.3504 deg
  q      =   0.927756 +/- 0.0095 AU
  f      =  36.923577 +/- 2.3506 deg
  M      =   4.472216 +/- nan deg
  Q      =   5.656892 +/- 4.0695 AU
  n      =   0.164987 +/- 0.5882 deg/day
  T      =   5.973853 +/- 249443824.2948 years
  Last perihelion JD = 2459415.496083 (2021-07-19 23:54:21.586547) +/- 0.0000 days
  Tj     =   1.211011 +/- 2.5059
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 = 10.080141
 a2 = 14.279443

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 5.253e-06 s
  Stddev    = 2.29e-03 s

Begin point on the trajectory:
  Lon =    -0.146052 +/- 0.0157 deg
  Lat =    52.346513 +/- 0.0064 deg
  Ht  = 104449.06 +/- 1379.47 m
End point on the trajectory:
  Lon =    -0.215403 +/- 0.0065 deg
  Lat =    52.316531 +/- 0.0026 deg
  Ht  = 94061.24 +/- 569.45 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,  29.539758,   7.268517,   104449.06,    94593.26,          0.044654,    148.21,      2.03,              23.89, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210816_022622_130_0570624.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   103674.62,    94061.24,          0.023583,     51.06,     22.67,               9.21, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_022628_112_0567296.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,     UK002C,       0,  0.026306, 2459442.601727511734, 101.70800,  52.05351,               45.34753,  32.33372,        45.22860,       32.34833,    101.70800,     +52.05351,     101.80406,      +52.13620,  3967494.58,    81936.87,  5109180.50,      52.346513,       -0.146052,  104449.06,  191204.00,       0.00,              866.15,  -105.03,      0.00,           55812.63,      4.80,   -338.80,         365.52,  +4.58,  +3.17
  1,     UK002C,       0,  0.066494, 2459442.601727976929, 102.24542,  51.94661,               45.16746,  32.02119,        45.16826,       32.02109,    102.24542,     +51.94661,     102.24510,      +51.94605,  3966781.54,    80975.21,  5107124.68,      52.340535,       -0.159892,  102373.87,  189088.87,    2379.00,             3245.15,    -1.91,  59196.78,           55812.63,     -0.02,      2.27,           2.48,  +3.56,  +2.18
  2,     UK002C,       0,  0.106738, 2459442.601728442591, 102.65118,  51.73917,               45.13666,  31.69687,        45.10940,       31.70027,    102.65118,     +51.73917,     102.67394,      +51.75813,  3966097.55,    80052.73,  5105152.61,      52.334796,       -0.173179,  100383.41,  187065.69,    4661.08,             5527.23,     1.12,  56706.01,           55812.63,      0.84,    -76.54,          84.40,  +2.27,  +0.91
  3,     UK002C,       0,  0.146934, 2459442.601728907786, 103.07756,  51.59430,               45.04034,  31.40672,        45.05525,       31.40484,    103.07756,     +51.59430,     103.06597,      +51.58393,  3965480.27,    79220.22,  5103372.87,      52.329612,       -0.185191,   98587.22,  185244.40,    6720.58,             7586.73,  -215.71,  51236.55,           55812.63,     -0.40,     41.59,          46.31,  +1.58,  +0.24
  4,     UK002C,       0,  0.187214, 2459442.601729373913, 103.53503,  51.35606,               45.00306,  31.03668,        44.98924,       31.03841,    103.53503,     +51.35606,     103.54731,      +51.36566,  3964731.76,    78210.74,  5101214.80,      52.323321,       -0.199726,   96409.40,  183044.35,    9217.90,            10084.05,     0.51,  61998.94,           56624.34,      0.40,    -38.24,          43.10,  +2.04,  +0.73
  5,     UK002C,       0,  0.227422, 2459442.601729839575, 103.98035,  51.20105,               44.90040,  30.73031,        44.93287,       30.72621,    103.98035,     +51.20105,     103.95430,      +51.17850,  3964107.51,    77368.83,  5099414.98,      52.318070,       -0.211880,   94593.26,  181214.32,   11300.65,            12166.80,  -193.74,  51799.54,           56167.08,     -0.78,     89.23,         101.56,  +2.28,  +0.99
  0,     UK002F,       1,  0.000000, 2459442.601727080066,  74.43216,  53.87475,               56.63589,  47.16293,        56.56027,       47.15680,     74.43216,     +53.87475,      74.48359,      +53.91674,  3967650.73,    82147.46,  5109630.70,      52.347821,       -0.142903,  104903.52,  141982.84,       0.00,              345.19,   863.77,      0.00,           50618.77,     52.84,   -116.94,         186.42,  +6.11,  +5.35
  1,     UK002F,       0,  0.040112, 2459442.601727544330,  74.69026,  53.87333,               56.52906,  47.02927,        56.57805,       47.03304,     74.69026,     +53.87333,      74.65725,      +53.84600,  3967228.49,    81578.00,  5108413.30,      52.344283,       -0.151165,  103674.62,  140603.07,    1408.76,             1753.95,     0.95,  35120.77,           50618.77,    -33.44,     75.38,         120.98,  +2.80,  +2.06
  2,     UK002F,       0,  0.080296, 2459442.601728009526,  74.95079,  53.70650,               56.63184,  46.81342,        56.61205,       46.81185,     74.95079,     +53.70650,      74.96467,      +53.71752,  3966500.99,    80596.84,  5106315.79,      52.338182,       -0.165284,  101557.42,  138232.14,    3836.01,             4181.19,   152.54,  60403.19,           50618.77,     13.44,    -30.01,          49.07,  +1.82,  +1.12
  3,     UK002F,       0,  0.120472, 2459442.601728474256,  75.26744,  53.62235,               56.60363,  46.60870,        56.64217,       46.61168,     75.26744,     +53.62235,      75.24149,      +53.60082,  3965862.34,    79735.51,  5104474.44,      52.332821,       -0.177703,   99698.96,  136151.73,    5966.81,             6312.00,     8.14,  53036.67,           50618.77,    -25.69,     57.87,          95.92,  +1.67,  +1.00
  4,     UK002F,       0,  0.160628, 2459442.601728938986,  75.49563,  53.48619,               56.67749,  46.42341,        56.67010,       46.42283,     75.49563,     +53.48619,      75.50141,      +53.49032,  3965276.43,    78945.31,  5102785.18,      52.327900,       -0.189114,   97994.12,  134244.10,    7921.62,             8266.81,  -311.11,  48680.57,           50799.05,      4.90,    -10.97,          18.46,  +1.47,  +0.83
  5,     UK002F,       0,  0.200832, 2459442.601729404647,  75.84871,  53.36837,               56.67264,  46.18231,        56.70576,       46.18487,     75.84871,     +53.36837,      75.82652,      +53.34984,  3964563.13,    77983.31,  5100728.61,      52.321903,       -0.202974,   95918.79,  131925.18,   10301.48,            10646.67,  -208.04,  59194.48,           52051.23,    -21.55,     48.56,          83.06,  +1.31,  +0.71
  6,     UK002F,       0,  0.241020, 2459442.601729869843,  76.15169,  53.24145,               56.69883,  45.96195,        56.73807,       45.96498,     76.15169,     +53.24145,      76.12525,      +53.21947,  3963924.64,    77122.19,  5098887.72,      52.316531,       -0.215403,   94061.24,  129850.75,   12431.76,            12776.95,  -353.64,  53007.88,           52600.79,    -25.21,     56.87,          98.81,  +1.44,  +0.87

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.