Orbital Analysis for matched events on 20210810_004458.049_UK

Summary for Event
-----------------
shower ID 592 PON
Lg 28.18° Bg 18.35° Vg 64.67km/s
mass 0.00247g, abs. mag 0.9
Path Details
------------
start -1.85° 51.58° 110.47km
end   -2.01° 51.60° 99.23km

Orbit Details
-------------
Semimajor axis 8.79A.U., eccentricity 0.92, inclination 144.55°, Period 26.08Y, LA Sun 137.34°, last Perihelion 1995-08-19

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: 2459436.531227425206
Time: 2021-08-10 00:44:58.049538 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 29.23636 deg
 R.A. =  19.18199  Dec = +28.30296 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 29.24 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3430784.28 +/- 33.58 m
 Y =  -2134558.82 +/- 28.26 m
 Z =   5060270.12 +/- 71.58 m
 Vx =    54704.48 +/- 359.49 m/s
 Vy =    18733.66 +/- 175.77 m/s
 Vz =    31008.88 +/- 357.67 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.212608e+03, +8.043737e+02, +2.405405e+03, +2.558980e+03, +1.598895e+03, +7.373899e+03
+8.043737e+02, +8.682197e+02, +1.681164e+03, +1.757868e+03, +2.909895e+03, +5.139377e+03
+2.405405e+03, +1.681164e+03, +5.645648e+03, +7.061458e+03, +4.479138e+03, +2.167069e+04
+2.558980e+03, +1.757868e+03, +7.061458e+03, +1.144921e+04, +6.952186e+03, +3.887173e+04
+1.598895e+03, +2.909895e+03, +4.479138e+03, +6.952186e+03, +1.634366e+04, +2.501758e+04
+7.373899e+03, +5.139377e+03, +2.167069e+04, +3.887173e+04, +2.501758e+04, +1.372919e+05

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK000S: -0.000385 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 00:44:58.049538 UTC
  Lon     = +-1.854818 +/- 0.0006 deg
  Lat     = +51.576981 +/- 0.0003 deg
  Lat geo = +51.392664 +/- 0.0003 deg
  Ht      =  110464.37 +/- 65.75 m

  JD dynamic   = 2459436.532028166112 
  LST apparent = 328.1110309398 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  18.90387 +/- 0.1028 deg
  Dec       = +28.20332 +/- 0.2258 deg
  Azimuth   = 101.80608 +/- 0.2625 deg
  Elevation = +45.76297 +/- 0.1604 deg
  Vavg      =  62.84445 +/- 0.2051 km/s
  Vinit     =  65.61311 +/- 0.2765 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  19.08770 +/- 0.1028 deg
  Dec       = +28.10926 +/- 0.2258 deg
  Azimuth   = 101.73109 +/- 0.2625 deg
  Elevation = +45.58306 +/- 0.1604 deg
  Vavg      =  63.04601 +/- 0.2051 km/s
  Vinit     =  65.81467 +/- 0.2765 km/s
Radiant (geocentric, J2000):
  R.A.   =  18.87125 +/- 0.1024 deg
  Dec    = +27.84622 +/- 0.2293 deg
  Vg     =  64.66819 +/- 0.2805 km/s
  Vinf   =  65.61311 +/- 0.2765 km/s
  Zc     =  44.19961 +/- 0.1597 deg
  Zg     =  44.53709 +/- 0.1635 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  28.17665 +/- 0.1428 deg
  Bg     = +18.34924 +/- 0.2060 deg
  Vh     =  40.61183 +/- 0.2830 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  11.78543 +/- 0.3223 deg
  Bh     = +30.08685 +/- 0.2697 deg
  Vh_x   = -34.39928 +/- 0.1085 km/s
  Vh_y   =  -7.17726 +/- 0.2251 km/s
  Vh_z   = -20.35920 +/- 0.3081 km/s
Orbit:
  La Sun = 137.339098 +/- 0.0000 deg
  a      =   8.793816 +/- 17.9034 AU
  e      =   0.915280 +/- 0.0195
  i      = 144.545396 +/- 0.2242 deg
  peri   = 243.552452 +/- 1.3859 deg
  node   = 137.334893 +/- 0.0000 deg
  Pi     =  20.887346 +/- 1.3859 deg
  q      =   0.745009 +/- 0.0078 AU
  f      = 296.441296 +/- 1.3859 deg
  M      = 358.590554 +/- 0.3697 deg
  Q      =  16.842623 +/- 35.8011 AU
  n      =   0.037795 +/- 0.0099 deg/day
  T      =  26.077545 +/- 179.3250 years
  Last perihelion JD = 2449948.834366 (1995-08-19 08:01:29.201501) +/- 65500.1007 days
  Tj     =  -0.261248 +/- 0.1432
Shower association:
  IAU No.  =  592
  IAU code =  PON

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.029994e-04, +1.578927e-04, -8.746069e+02, +1.283631e-08, -4.945905e-04, -6.897799e-05
q   , +1.578927e-04, +6.502648e-05, -3.244128e+02, +4.383854e-09, -2.011596e-04, -2.354181e-05
Tp  , -8.746069e+02, -3.244128e+02, +4.026514e+09, -2.948938e-02, +1.022303e+03, +1.593055e+02
node, +1.283631e-08, +4.383854e-09, -2.948938e-02, +5.629146e-13, -1.424909e-08, -3.028373e-09
peri, -4.945905e-04, -2.011596e-04, +1.022303e+03, -1.424909e-08, +6.242648e-04, +7.652915e-05
i   , -6.897799e-05, -2.354181e-05, +1.593055e+02, -3.028373e-09, +7.652915e-05, +1.629291e-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: UK001Z
  Avg. res. = 1.301e-05 s
  Stddev    = 3.61e-03 s

Begin point on the trajectory:
  Lon =    -1.854761 +/- 0.0005 deg
  Lat =    51.576974 +/- 0.0003 deg
  Ht  = 110468.63 +/- 59.90 m
End point on the trajectory:
  Lon =    -2.008112 +/- 0.0003 deg
  Lat =    51.596706 +/- 0.0003 deg
  Ht  = 99229.86 +/- 45.20 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
    UK0001,    True,    -1.778230,    50.857470,   24.00, 50843.698626,   0.072542,   109176.26,   103896.18,          0.113160,       nan,       nan,              61.93, 0.0000,    True,   False, {"ff_name": "FF_UK0001_20210810_004456_547_0402176.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.020574,  45.195713,   109356.60,   100521.50,          0.010344,     22.97,      7.76,              61.93, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_004451_039_0399616.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   110468.63,    99229.86,          0.006457,     14.79,      8.65,              38.77, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210810_004451_539_0395264.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,     UK0001,       1,  0.864153, 2459436.531237427145, 274.85714,  86.48993,              355.33427,  52.86388,       355.18595,       52.96592,    274.85714,     +86.48993,     275.44358,      +86.35920,  3429289.35, -2135070.76,  5059422.73,      51.579242,       -1.875795,  109176.26,  136088.36,       0.00,             1793.04, -54406.84,      0.00,           61683.61,    103.31,   -305.29,         488.49,  +2.03,  +1.36
  1,     UK0001,       1,  0.903621, 2459436.531237883959, 258.95276,  85.99411,              353.89282,  52.12181,       353.77274,       52.20262,    258.95276,     +85.99411,     259.76061,      +85.90069,  3426763.59, -2135935.71,  5057991.02,      51.583057,       -1.905321,  107006.16,  134726.44,    3029.42,             4822.45, -53967.04,  76756.29,           61683.61,     82.34,   -243.57,         393.63,  +1.27,  +0.62
  2,     UK0001,       1,  0.943213, 2459436.531238342170, 249.50899,  85.45202,              352.81996,  51.53260,       352.71411,       51.60272,    249.50899,     +85.45202,     250.29822,      +85.37918,  3424849.66, -2136591.14,  5056906.12,      51.585944,       -1.927751,  105362.10,  133731.29,    5325.00,             7118.04, -54269.21,  57981.07,           61683.61,     71.84,   -212.63,         346.17,  +0.90,  +0.27
  3,     UK0001,       1,  0.982865, 2459436.531238800846, 242.64519,  84.89369,              351.89871,  50.97458,       351.77995,       51.05220,    242.64519,     +84.89369,     243.53595,      +84.82095,  3423142.79, -2137175.66,  5055938.59,      51.588517,       -1.947785,  103896.18,  132871.28,    7372.24,             9165.28, -54823.66,  51630.19,           61683.61,     79.99,   -236.70,         387.85,  +0.43,  -0.19
  0,     UK000S,       0,  0.026392, 2459436.531227735337, 277.85989,  86.47436,              355.48641,  53.02442,       355.47330,       53.03349,    277.85989,     +86.47436,     277.90338,      +86.46264,  3429495.10, -2135000.30,  5059539.36,      51.578931,       -1.869906,  109356.60,  136192.66,       0.00,             1546.25,   314.51,      0.00,           64197.94,      9.15,    -27.07,          43.27,  +2.19,  +1.52
  1,     UK000S,       0,  0.066852, 2459436.531228203326, 265.23904,  86.16910,              354.39468,  52.46919,       354.40145,       52.46459,    265.23904,     +86.16910,     265.19949,      +86.17468,  3427591.35, -2135652.25,  5058460.23,      51.581807,       -1.892201,  107721.05,  135155.15,    2283.38,             3829.63,   -56.82,  56435.59,           64197.94,     -4.66,     13.81,          22.24,  +1.38,  +0.73
  2,     UK000S,       0,  0.107456, 2459436.531228673179, 252.35232,  85.61956,              353.13270,  51.73094,       353.11098,       51.74543,    252.35232,     +85.61956,     252.51268,      +85.60404,  3425267.47, -2136448.06,  5057142.95,      51.585314,       -1.919399,  105725.06,  133930.74,    5070.67,             6616.92,    66.32,  68645.68,           64197.94,     14.79,    -43.78,          71.17,  +0.99,  +0.36
  3,     UK000S,       0,  0.148020, 2459436.531229143031, 243.25149,  84.88954,              351.88980,  51.02843,       351.88867,       51.02917,    243.25149,     +84.88954,     243.26058,      +84.88884,  3423035.42, -2137212.43,  5055877.73,      51.588679,       -1.945549,  103808.49,  132799.52,    7747.81,             9294.06,    81.93,  65997.91,           64197.94,      0.76,     -2.25,           3.69,  +0.62,  +0.00
  4,     UK000S,       0,  0.188560, 2459436.531229611952, 236.78537,  84.14244,              350.79957,  50.34958,       350.79054,       50.35540,    236.78537,     +84.14244,     236.85089,      +84.13760,  3421003.02, -2137908.43,  5054725.68,      51.591740,       -1.969391,  102063.80,  131808.72,   10185.49,            11731.74,  -140.35,  60130.32,           63712.80,      6.03,    -17.85,          29.48,  +0.89,  +0.29
  5,     UK000S,       0,  0.229040, 2459436.531230080407, 232.38553,  83.41555,              349.83215,  49.74222,       349.83144,       49.74267,    232.38553,     +83.41555,     232.39123,      +83.41521,  3419205.99, -2138523.83,  5053707.04,      51.594443,       -1.990504,  100521.50,  130964.62,   12340.86,            13887.11,  -640.99,  53245.29,           62081.57,      0.47,     -1.38,           2.30,  +2.52,  +1.93
  0,     UK001Z,       0,  0.000000, 2459436.531227425206,  51.70807,  60.15970,               44.08060,  44.58645,        44.07692,       44.59313,     51.70807,     +60.15970,      51.69870,      +60.16516,  3430789.23, -2134557.12,  5060272.93,      51.576974,       -1.854761,  110468.63,  155876.13,       0.00,                5.94,   505.86,      0.00,           63800.93,      9.87,    -16.86,          25.85,  +4.42,  +3.46
  1,     UK001Z,       0,  0.040260, 2459436.531227891333,  52.40491,  60.46585,               43.47366,  44.42685,        43.47411,       44.42604,     52.40491,     +60.46585,      52.40620,      +60.46519,  3429146.35, -2135119.73,  5059341.67,      51.579458,       -1.874014,  109056.95,  154341.20,    1970.49,             1964.54,  -177.13,  48944.03,           63800.93,     -1.18,      2.02,           3.13,  +2.73,  +1.79
  2,     UK001Z,       0,  0.080644, 2459436.531228358392,  53.44470,  60.90422,               42.59633,  44.18774,        42.60320,       44.17581,     53.44470,     +60.90422,      53.46174,      +60.89419,  3426807.54, -2135920.66,  5058015.93,      51.582990,       -1.901371,  107047.77,  152176.15,    4775.68,             4769.74,   -21.65,  69463.07,           63800.93,    -17.31,     29.60,          46.47,  +1.85,  +0.94
  3,     UK001Z,       0,  0.121064, 2459436.531228826381,  54.59536,  61.34208,               41.69033,  43.91123,        41.69397,       43.90508,     54.59536,     +61.34208,      54.60444,      +61.33681,  3424413.49, -2136740.51,  5056658.88,      51.586602,       -1.929392,  104991.73,  149982.37,    7647.13,             7641.19,   197.72,  71040.29,           63800.93,     -8.83,     15.10,          24.06,  +1.49,  +0.61
  4,     UK001Z,       0,  0.161428, 2459436.531229293440,  55.63546,  61.72419,               40.89370,  43.66416,        40.89620,       43.66001,     55.63546,     +61.72419,      55.64189,      +61.72058,  3422352.88, -2137446.17,  5055490.84,      51.589707,       -1.953551,  103222.53,  148112.17,   10118.64,            10112.70,    20.82,  61230.56,           64199.89,     -5.91,     10.10,          16.30,  +1.19,  +0.34
  5,     UK001Z,       0,  0.201824, 2459436.531229760963,  56.77415,  62.11862,               40.05608,  43.39213,        40.05535,       43.39331,     56.77415,     +62.11862,      56.77337,      +62.11967,  3420217.29, -2138177.50,  5054280.29,      51.592922,       -1.978601,  101389.42,  146193.25,   12680.09,            12674.15,   -68.24,  63408.42,           64200.66,      1.67,     -2.85,           4.66,  +1.97,  +1.15
  6,     UK001Z,       0,  0.242296, 2459436.531230229419,  58.18726,  62.58803,               39.04814,  43.05919,        39.04673,       43.06141,     58.18726,     +62.58803,      58.18524,      +62.59004,  3417700.66, -2139039.33,  5052853.76,      51.596706,       -2.008112,   99229.86,  143958.95,   15698.57,            15692.62,   294.74,  74581.90,           65316.19,      3.10,     -5.30,           8.80,  +3.59,  +2.80

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.