Orbital Analysis for matched events on 20210810_230201.992_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.43° Bg 37.91° Vg 60.41km/s
mass 0.12250g, abs. mag -1.9
Path Details
------------
start -1.72° 52.70° 106.28km
end   -1.89° 52.58° 93.19km

Orbit Details
-------------
Semimajor axis -31.06A.U., eccentricity 1.03, inclination 114.62°, Period 1000000000.00Y, LA Sun 138.23°, 

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: 2459437.459745287895
Time: 2021-08-10 23:02:02.101866 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002Z
 Convergence angle = 88.87595 deg
 R.A. =  45.85786  Dec = +57.48409 deg

Best intersection: Stations UK000S and UK002Z with Qconv = 88.88 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2169080.63 +/- 44.09 m
 Y =  -3286399.16 +/- 39.18 m
 Z =   5134950.49 +/- 36.69 m
 Vx =    23019.05 +/- 187.60 m/s
 Vy =    23677.10 +/- 153.95 m/s
 Vz =    51785.11 +/- 126.95 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000S: 0.000666 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:02:02.101866 UTC
  Lon     = +-1.722399 +/- 0.0007 deg
  Lat     = +52.700228 +/- 0.0004 deg
  Lat geo = +52.517599 +/- 0.0004 deg
  Ht      =  106242.45 +/- 32.38 m

  JD dynamic   = 2459437.460547290277 
  LST apparent = 303.4255056029 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.80738 +/- 0.2922 deg
  Dec       = +57.47507 +/- 0.1554 deg
  Azimuth   =  41.06944 +/- 0.2151 deg
  Elevation = +36.93062 +/- 0.1376 deg
  Vavg      =  59.77016 +/- 0.1286 km/s
  Vinit     =  61.41807 +/- 0.0452 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.70145 +/- 0.2922 deg
  Dec       = +57.25496 +/- 0.1554 deg
  Azimuth   =  41.32111 +/- 0.2151 deg
  Elevation = +36.82488 +/- 0.1376 deg
  Vavg      =  59.92144 +/- 0.1286 km/s
  Vinit     =  61.56935 +/- 0.0452 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.04802 +/- 0.2910 deg
  Dec    = +57.07092 +/- 0.1563 deg
  Vg     =  60.40683 +/- 0.0459 km/s
  Vinf   =  61.41807 +/- 0.0452 km/s
  Zc     =  53.20716 +/- 0.1376 deg
  Zg     =  53.68355 +/- 0.1385 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.43180 +/- 0.2130 deg
  Bg     = +37.91070 +/- 0.1449 deg
  Vh     =  42.17858 +/- 0.0838 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.14438 +/- 0.4802 deg
  Bh     = +61.64140 +/- 0.1990 deg
  Vh_x   =  -3.42920 +/- 0.1593 km/s
  Vh_y   = -19.73868 +/- 0.1351 km/s
  Vh_z   = -37.11681 +/- 0.1141 km/s
Orbit:
  La Sun = 138.230026 +/- -0.0000 deg
  a      = -31.060809 +/- 5.0550 AU
  e      =   1.030606 +/- 0.0075
  i      = 114.615640 +/- 0.2064 deg
  peri   = 151.358202 +/- 0.3819 deg
  node   = 138.228556 +/- 0.0000 deg
  Pi     = 289.586758 +/- 0.3819 deg
  q      =   0.950656 +/- 0.0018 AU
  f      =  28.637625 +/- 0.3819 deg
  M      =        nan +/- nan deg
  Q      = -63.072274 +/- 10.1111 AU
  n      =   0.005694 +/- 0.0024 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.674915 +/- 0.0393
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 2.908172
 a2 = 13.109976

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 6.749e-06 s
  Stddev    = 2.60e-03 s

Begin point on the trajectory:
  Lon =    -1.721969 +/- 0.0006 deg
  Lat =    52.700528 +/- 0.0003 deg
  Ht  = 106276.25 +/- 24.25 m
End point on the trajectory:
  Lon =    -1.889814 +/- 0.0001 deg
  Lat =    52.583979 +/- 0.0004 deg
  Ht  = 93192.19 +/- 23.60 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   8.606436,   9.599272,   104891.23,    93192.19,          0.009812,     34.42,     17.90,              34.51, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_230206_725_0249088.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.448149,  18.850272,   106276.25,    93398.38,          0.022993,     32.72,     59.53,             103.24, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_230201_725_0241664.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,     UK000S,       0,  0.045848, 2459437.459746333770, 121.79279,  65.27017,                0.73472,  26.13402,         0.73656,       26.13052,    121.79279,     +65.27017,     121.78892,      +65.26663,  2168237.63, -3287266.26,  5133054.03,      52.688243,       -1.739507,  104891.23,  230602.22,       0.00,             2249.24,    -0.35,      0.00,           60880.38,      7.18,     13.83,          13.94,  +1.37,  -0.44
  1,     UK000S,       0,  0.085976, 2459437.459746798500, 122.62791,  65.13448,                0.34700,  25.99336,         0.35893,       25.97082,    122.62791,     +65.13448,     122.60300,      +65.11184,  2167264.58, -3288267.13,  5130864.99,      52.674400,       -1.759510,  103332.16,  228477.27,    2596.23,             4845.47,   131.30,  64698.82,           60880.38,     45.94,     88.32,          89.87,  +1.27,  -0.52
  2,     UK000S,       0,  0.126120, 2459437.459747263230, 123.32188,  64.97985,                0.02246,  25.83732,         0.02671,       25.82934,    123.32188,     +64.97985,     123.31310,      +64.97187,  2166422.18, -3289133.61,  5128969.88,      52.662407,       -1.776846,  101982.95,  226645.66,    4843.88,             7093.11,   -86.62,  55989.46,           60880.38,     16.14,     31.06,          31.86,  +1.13,  -0.65
  3,     UK000S,       0,  0.166276, 2459437.459747727960, 124.12099,  64.80414,              359.64516,  25.66308,       359.64419,       25.66489,    124.12099,     +64.80414,     124.12351,      +64.80595,  2165465.23, -3290117.92,  5126817.06,      52.648775,       -1.796515,  100450.86,  224574.30,    7397.16,             9646.40,     0.36,  63584.05,           60880.38,     -3.63,     -7.00,           7.24,  +0.76,  -1.00
  4,     UK000S,       0,  0.206424, 2459437.459748192690, 124.93330,  64.63083,              359.25787,  25.49469,       359.25671,       25.49683,    124.93330,     +64.63083,     124.93642,      +64.63295,  2164510.90, -3291099.53,  5124670.13,      52.635170,       -1.816128,   98923.58,  222518.72,    9943.45,            12192.69,    80.84,  63422.68,           61496.33,     -4.26,     -8.20,           8.57,  +0.65,  -1.09
  5,     UK000S,       0,  0.246560, 2459437.459748656955, 125.63187,  64.47443,              358.92158,  25.34534,       358.91933,       25.34949,    125.63187,     +64.47443,     125.63761,      +64.47852,  2163693.04, -3291940.78,  5122830.22,      52.623503,       -1.832957,   97615.20,  220765.36,   12125.62,            14374.86,  -202.07,  54369.45,           60654.40,     -8.21,    -15.80,          16.64,  +0.63,  -1.09
  6,     UK000S,       0,  0.286708, 2459437.459749121685, 126.44381,  64.29144,              358.52705,  25.17386,       358.52588,       25.17601,    126.44381,     +64.29144,     126.44737,      +64.29355,  2162751.69, -3292909.03,  5120712.51,      52.610065,       -1.852300,   96109.85,  218756.94,   14637.26,            16886.50,  -156.24,  62559.59,           60557.84,     -4.22,     -8.13,           8.64,  +0.49,  -1.21
  7,     UK000S,       0,  0.326844, 2459437.459749586415, 127.20814,  64.12425,              358.15238,  25.02079,       358.15713,       25.01213,    127.20814,     +64.12425,     127.19848,      +64.11580,  2161883.05, -3293802.51,  5118758.36,      52.597657,       -1.870159,   94721.29,  216913.08,   16954.92,            19204.16,  -303.65,  57745.14,           60283.27,     16.88,     32.46,          34.79,  +0.88,  -0.80
  8,     UK000S,       0,  0.367012, 2459437.459750051145, 128.02233,  63.90809,              357.74729,  24.82330,       357.74510,       24.82728,    128.02233,     +63.90809,     128.02862,      +63.91195,  2160926.10, -3294786.81,  5116605.54,      52.583979,       -1.889814,   93192.19,  214892.51,   19508.20,            21757.44,  -217.41,  63565.03,           60374.05,     -7.69,    -14.81,          16.02,  +1.06,  -0.60
  0,     UK002Z,       0,  0.000000, 2459437.459746549372, 271.02981,   9.79219,              224.44329,  38.59443,       224.43329,       38.59469,    271.02981,      +9.79219,     271.03711,       +9.78913,  2169101.71, -3286377.48,  5134997.92,      52.700528,       -1.721969,  106276.25,  168183.74,       0.00,               56.25,   622.59,      0.00,           58452.11,    -20.09,     11.06,          28.13,  +3.16,  +2.03
  1,     UK002Z,       0,  0.040504, 2459437.459747018293, 270.72385,   9.21795,              224.48302,  37.94648,       224.41009,       37.94839,    270.72385,      +9.21795,     270.77767,       +9.19544,  2168370.71, -3287129.38,  5133353.41,      52.690136,       -1.737041,  105104.50,  168648.80,    1950.42,             1894.17,   -27.17,  48153.79,           58452.11,   -148.45,     81.57,         207.17,  +1.36,  +0.23
  2,     UK002Z,       0,  0.081104, 2459437.459747488145, 270.42552,   8.43912,              224.40659,  37.11594,       224.37974,       37.11663,    270.42552,      +8.43912,     270.44580,       +8.43076,  2167423.25, -3288103.93,  5131221.94,      52.676658,       -1.756524,  103586.34,  169281.47,    4478.38,             4422.13,     7.22,  62265.10,           58452.11,    -55.45,     30.51,          77.11,  +0.76,  -0.38
  3,     UK002Z,       0,  0.121732, 2459437.459747958463, 270.09309,   7.66162,              224.37203,  36.27209,       224.34954,       36.27267,    270.09309,      +7.66162,     270.11045,       +7.65455,  2166454.35, -3289100.53,  5129042.24,      52.662865,       -1.776442,  102034.46,  169964.94,    7063.54,             7007.29,    97.08,  63629.94,           58452.11,    -47.14,     25.94,          65.30,  +0.35,  -0.80
  4,     UK002Z,       0,  0.162308, 2459437.459748427849, 269.77879,   6.95776,              224.35744,  35.50237,       224.32287,       35.50327,    269.77879,      +6.95776,     269.80560,       +6.94680,  2165564.19, -3290016.13,  5127039.69,      52.650185,       -1.794751,  100609.26,  170625.63,    9438.61,             9382.36,   -19.95,  58533.76,           59113.58,    -73.49,     40.41,         101.38,  +0.08,  -1.08
  5,     UK002Z,       0,  0.202872, 2459437.459748897236, 269.48959,   6.25265,              224.31605,  34.74174,       224.29699,       34.74223,    269.48959,      +6.25265,     269.50496,       +6.24656,  2164676.73, -3290928.97,  5125043.19,      52.637534,       -1.813004,   99188.91,  171314.75,   11806.49,            11750.24,  -143.43,  58374.03,           59196.90,    -41.06,     22.59,          56.42,  -0.09,  -1.26
  6,     UK002Z,       0,  0.243496, 2459437.459749367554, 269.17156,   5.46638,              224.26702,  33.89517,       224.26833,       33.89514,    269.17156,      +5.46638,     269.17157,       +5.46680,  2163680.03, -3291954.15,  5122800.96,      52.623317,       -1.833479,   97594.40,  172123.64,   14465.82,            14409.56,    20.85,  65461.89,           59898.64,      2.85,     -1.57,           3.90,  -0.17,  -1.35
  7,     UK002Z,       0,  0.284044, 2459437.459749836940, 268.87787,   4.79836,              224.25232,  33.16603,       224.24456,       33.16623,    268.87787,      +4.79836,     268.88507,       +4.79584,  2162814.90, -3292844.02,  5120854.70,      52.610968,       -1.851271,   96210.91,  172856.85,   16774.11,            16717.86,  -161.24,  56927.42,           59943.56,    -17.19,      9.46,          23.41,  -0.26,  -1.45
  8,     UK002Z,       0,  0.324620, 2459437.459750306327, 268.58370,   4.07415,              224.21141,  32.38543,       224.21926,       32.38523,    268.58370,      +4.07415,     268.57893,       +4.07671,  2161879.43, -3293806.23,  5118750.21,      52.597606,       -1.870493,   94715.51,  173680.34,   19270.08,            19213.82,  -157.37,  61513.37,           60069.15,     17.62,     -9.70,          23.88,  +0.27,  -0.93
  9,     UK002Z,       0,  0.365136, 2459437.459750775713, 268.31072,   3.44847,              224.19723,  31.70314,       224.19791,       31.70312,    268.31072,      +3.44847,     268.31171,       +3.44870,  2161055.17, -3294654.05,  5116895.90,      52.585824,       -1.887448,   93398.38,  174433.24,   21469.32,            21413.07,  -446.54,  54280.80,           59817.94,      1.55,     -0.85,           2.09,  +1.98,  +0.77

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.