Orbital Analysis for matched events on 20210813_233739.814_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.31° Bg 44.11° Vg 53.14km/s
mass 0.11166g, abs. mag -1.8
Path Details
------------
start 3.22° 52.16° 108.73km
end   3.09° 52.06° 94.64km

Orbit Details
-------------
Semimajor axis 4.38A.U., eccentricity 0.79, inclination 100.49°, Period 9.18Y, LA Sun 141.13°, 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: 2459440.484488593414
Time: 2021-08-13 23:37:39.814471 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 10.65386 deg
 R.A. =  66.47553  Dec = +75.83880 deg

Best intersection: Stations UK000C and UK002F with Qconv = 10.65 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3065782.47 +/- 6631.77 m
 Y =  -2549680.17 +/- 5714.01 m
 Z =   5099652.62 +/- 3945.02 m
 Vx =    13781.63 +/- 23186.29 m/s
 Vy =    18063.01 +/- 21749.01 m/s
 Vz =    49300.52 +/- 29174.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.972205e+07, +6.004959e+07, +3.739142e+07, +4.370709e+07, +5.516945e+07, +1.357498e+08
+6.004959e+07, +5.192438e+07, +3.351547e+07, +3.862455e+07, +4.886467e+07, +1.205556e+08
+3.739142e+07, +3.351547e+07, +2.855431e+07, +2.997281e+07, +3.834666e+07, +9.627344e+07
+4.370709e+07, +3.862455e+07, +2.997281e+07, +4.439134e+07, +5.071239e+07, +1.032948e+08
+5.516945e+07, +4.886467e+07, +3.834666e+07, +5.071239e+07, +6.021168e+07, +1.318894e+08
+1.357498e+08, +1.205556e+08, +9.627344e+07, +1.032948e+08, +1.318894e+08, +3.293813e+08

Timing offsets (from input data):
    UK000C: 0.002729 s
    UK002F: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:37:39.814471 UTC
  Lon     = ++3.214853 +/- 0.0717 deg
  Lat     = +52.161276 +/- 0.0031 deg
  Lat geo = +51.977811 +/- 0.0031 deg
  Ht      =  108626.18 +/- 1831.44 m

  JD dynamic   = 2459440.485289334320 
  LST apparent = 320.2511511205 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.65727 +/- 59.3768 deg
  Dec       = +65.25737 +/- 7.9495 deg
  Azimuth   =  36.21722 +/- 27.7683 deg
  Elevation = +44.94770 +/- 4.2872 deg
  Vavg      =  50.68130 +/- 8.4850 km/s
  Vinit     =  54.28395 +/- 15.7059 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.62687 +/- 59.3768 deg
  Dec       = +64.97951 +/- 7.9495 deg
  Azimuth   =  36.56550 +/- 27.7683 deg
  Elevation = +44.81935 +/- 4.2872 deg
  Vavg      =  50.80353 +/- 8.4850 km/s
  Vinit     =  54.40618 +/- 15.7059 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.21800 +/- 58.5735 deg
  Dec    = +64.92868 +/- 7.8646 deg
  Vg     =  53.13758 +/- 8.0363 km/s
  Vinf   =  54.28395 +/- 7.8346 km/s
  Zc     =  45.20042 +/- 4.2875 deg
  Zg     =  45.70946 +/- 4.4488 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.30538 +/- 32.2156 deg
  Bg     = +44.11146 +/- 9.4062 deg
  Vh     =  39.35747 +/- 4.8123 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 110.53905 +/- 48.0984 deg
  Bh     = +70.01319 +/- 9.1530 deg
  Vh_x   =   4.71976 +/- 13.9996 km/s
  Vh_y   = -12.59740 +/- 13.3568 km/s
  Vh_z   = -36.98702 +/- 1.2537 km/s
Orbit:
  La Sun = 141.133917 +/- -0.0000 deg
  a      =   4.383432 +/- 102.0861 AU
  e      =   0.791559 +/- 0.5215
  i      = 100.487585 +/- 25.6432 deg
  peri   = 141.073643 +/- 3.9680 deg
  node   = 141.133878 +/- 0.0019 deg
  Pi     = 282.207521 +/- 3.9679 deg
  q      =   0.913686 +/- 0.0179 AU
  f      =  38.922677 +/- 3.9683 deg
  M      =   2.969151 +/- nan deg
  Q      =   7.853178 +/- 204.1754 AU
  n      =   0.107395 +/- 0.8183 deg/day
  T      =   9.177450 +/- 499702507.5065 years
  Last perihelion JD = 2459412.838187 (2021-07-17 08:06:59.331434) +/- 1.9745 days
  Tj     =   0.983090 +/- 2.4535
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.985907e-03, +4.797428e-04, +1.491471e-01, -1.420655e-07, +2.965880e-03, +2.062802e-03
q   , +4.797428e-04, +1.855453e-04, +2.723617e-02, -1.230500e-07, +7.197062e-04, +1.861507e-03
Tp  , +1.491471e-01, +2.723617e-02, +5.310264e+00, -1.509601e-05, +1.240820e-01, +2.269083e-01
node, -1.420655e-07, -1.230500e-07, -1.509601e-05, +9.212527e-11, -4.352866e-07, -1.397157e-06
peri, +2.965880e-03, +7.197062e-04, +1.240820e-01, -4.352866e-07, +3.050741e-03, +6.564294e-03
i   , +2.062802e-03, +1.861507e-03, +2.269083e-01, -1.397157e-06, +6.564294e-03, +2.119145e-02

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: UK002F
  Avg. res. = 2.221e-05 s
  Stddev    = 4.71e-03 s

Begin point on the trajectory:
  Lon =     3.215773 +/- 0.0716 deg
  Lat =    52.162048 +/- 0.0032 deg
  Ht  = 108734.33 +/- 1848.04 m
End point on the trajectory:
  Lon =     3.094258 +/- 0.0249 deg
  Lat =    52.060990 +/- 0.0013 deg
  Ht  = 94638.03 +/- 624.37 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.070641,  25.337813,   102497.23,    94681.25,          0.013704,      3.75,     72.09,              45.62, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210813_233736_252_0314368.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  66.888933,   0.000000,   108734.33,    94638.03,          0.014265,     22.65,     78.31,              56.59, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_233740_600_0263424.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,     UK000C,       0,  0.143155, 2459440.484490440693,  50.73539,  27.25753,               69.00650,  18.31925,        69.01676,       18.32813,     50.73539,     +27.25753,      50.72123,      +27.25783,  3063578.94, -2552568.26,  5091769.99,      52.117429,       +3.162036,  102497.23,  305193.00,       0.00,             8679.43,   827.99,      0.00,           46719.46,    -70.13,     -3.62,          47.46,  +3.69,  +1.27
  1,     UK000C,       0,  0.183239, 2459440.484490904491,  50.69253,  27.04810,               69.18165,  18.18640,        69.16599,       18.17283,     50.69253,     +27.04810,      50.71598,      +27.04763,  3063117.28, -2553173.33,  5090118.53,      52.108230,       +3.150943,  101213.87,  303752.14,    1818.39,            10497.82,   470.46,  45364.43,           46719.46,    106.63,      5.60,          72.51,  +1.65,  -0.76
  2,     UK000C,       0,  0.223343, 2459440.484491368756,  50.69153,  26.84900,               69.31987,  18.03680,        69.30704,       18.02568,     50.69153,     +26.84900,      50.71103,      +26.84862,  3062684.06, -2553741.14,  5088568.77,      52.099592,       +3.140523,  100009.76,  302403.09,    3524.80,            12204.23,    -0.13,  42549.72,           46719.46,     87.02,      4.56,          59.44,  +2.28,  -0.12
  3,     UK000C,       0,  0.263487, 2459440.484491833486,  50.70752,  26.59468,               69.48384,  17.83542,        69.48661,       17.83782,     50.70752,     +26.59468,      50.70470,      +26.59476,  3062137.53, -2554457.45,  5086613.70,      52.088690,       +3.127422,   98491.07,  300709.21,    5677.50,            14356.92,   -26.61,  53624.28,           46719.46,    -18.71,     -0.97,          12.85,  +1.18,  -1.21
  4,     UK000C,       0,  0.303619, 2459440.484492297750,  50.71773,  26.34936,               69.64530,  17.64408,        69.65955,       17.65638,     50.71773,     +26.34936,      50.69863,      +26.34977,  3061615.79, -2555141.28,  5084747.28,      52.078276,       +3.114907,   97041.55,  299097.24,    7732.58,            16412.01,  -150.04,  51208.22,           48169.69,    -95.52,     -4.91,          65.96,  +2.07,  -0.31
  5,     UK000C,       0,  0.343719, 2459440.484492762014,  50.69448,  26.13210,               69.81098,  17.49345,        69.81288,       17.49508,     50.69448,     +26.13210,      50.69327,      +26.13215,  3061156.74, -2555742.93,  5083105.14,      52.069109,       +3.103877,   95766.46,  297682.28,    9540.71,            18220.14,  -518.70,  45090.49,           48144.11,    -12.63,     -0.65,           8.76,  +2.50,  +0.13
  6,     UK000C,       0,  0.383819, 2459440.484493226279,  50.69861,  25.94519,               69.93614,  17.34961,        69.94422,       17.35658,     50.69861,     +25.94519,      50.68872,      +25.94542,  3060765.99, -2556255.07,  5081707.33,      52.061302,       +3.094463,   94681.25,  296479.68,   11079.82,            19759.25, -1156.38,  38381.72,           47089.49,    -53.72,     -2.77,          37.42,  +5.18,  +2.82
  0,     UK002F,       0,  0.000000, 2459440.484488593414,  40.33720,  18.37514,               82.49847,  17.64210,        82.50995,       17.65387,     40.33720,     +18.37514,      40.32039,      +18.37708,  3065821.34, -2549629.23,  5099791.65,      52.162048,       +3.215773,  108734.33,  332750.53,       0.00,              153.08,    72.67,      0.00,           53486.42,    -89.70,    -25.88,          57.87,  +2.55,  -0.06
  1,     UK002F,       0,  0.040120, 2459440.484489057679,  40.29682,  18.06999,               82.73547,  17.43349,        82.74645,       17.44474,     40.29682,     +18.06999,      40.28094,      +18.07185,  3065209.11, -2550431.66,  5097601.53,      52.149877,       +3.201115,  107030.86,  331118.20,    2411.50,             2258.41,     0.13,  60107.14,           53486.42,    -85.37,    -24.63,          55.35,  +1.89,  -0.71
  2,     UK002F,       0,  0.080184, 2459440.484489521477,  40.22925,  17.84468,               82.93899,  17.30247,        82.92414,       17.28726,     40.22925,     +17.84468,      40.25127,      +17.84217,  3064752.06, -2551030.70,  5095966.55,      52.140786,       +3.190131,  105759.45,  329903.12,    4211.75,             4058.67,  -374.45,  44934.43,           53486.42,    115.02,     33.30,          74.87,  +1.32,  -1.27
  3,     UK002F,       0,  0.120328, 2459440.484489986207,  40.21929,  17.54030,               83.15151,  17.07549,        83.15646,       17.08055,     40.21929,     +17.54030,      40.21259,      +17.54113,  3064158.42, -2551808.75,  5093842.96,      52.128970,       +3.175914,  104108.45,  328336.26,    6550.00,             6396.92,  -215.38,  58246.55,           53486.42,    -38.10,    -11.00,          24.91,  +0.83,  -1.75
  4,     UK002F,       0,  0.160420, 2459440.484490450006,  40.16066,  17.27028,               83.37773,  16.90450,        83.36652,       16.89306,     40.16066,     +17.27028,      40.17763,      +17.26839,  3063625.31, -2552507.48,  5091935.87,      52.118353,       +3.163130,  102626.12,  326935.96,    8649.86,             8496.78,  -291.87,  52376.01,           53455.96,     85.92,     24.86,          56.43,  +0.93,  -1.64
  5,     UK002F,       0,  0.200556, 2459440.484490914736,  40.13388,  16.95371,               83.61042,  16.67814,        83.60856,       16.67624,     40.13388,     +16.95371,      40.13742,      +16.95340,  3063015.42, -2553306.84,  5089754.13,      52.106199,       +3.148528,  100930.71,  325344.85,   11052.14,            10899.06,   -68.33,  59853.52,           54361.94,     14.20,      4.10,           9.37,  +0.57,  -1.99
  6,     UK002F,       0,  0.240660, 2459440.484491379000,  40.07122,  16.65610,               83.85750,  16.48815,        83.83890,       16.46919,     40.07122,     +16.65610,      40.09918,      +16.65297,  3062439.15, -2554062.13,  5087692.66,      52.094708,       +3.134723,   99329.16,  323850.11,   13321.99,            13168.90,    24.51,  56598.98,           54925.04,    141.27,     40.92,          93.68,  +0.57,  -1.98
  7,     UK002F,       0,  0.280796, 2459440.484491843265,  40.05376,  16.34992,               84.07521,  16.26366,        84.07126,       16.25964,     40.05376,     +16.34992,      40.06065,      +16.34926,  3061861.95, -2554818.64,  5085627.87,      52.083191,       +3.120897,   97725.42,  322362.12,   15595.49,            15442.40,   119.27,  56644.90,           55303.08,     29.88,      8.64,          19.90,  +0.63,  -1.91
  8,     UK002F,       0,  0.320896, 2459440.484492307529,  40.01827,  16.09457,               84.27253,  16.08915,        84.26654,       16.08307,     40.01827,     +16.09457,      40.02826,      +16.09357,  3061379.93, -2555450.40,  5083903.56,      52.073567,       +3.109323,   96386.40,  321124.77,   17494.10,            17341.02,  -158.90,  47346.99,           54949.22,     45.06,     13.03,          30.13,  +0.50,  -2.03
  9,     UK002F,       0,  0.361032, 2459440.484492771793,  39.97866,  15.75712,               84.52724,  15.85387,        84.52336,       15.84993,     39.97866,     +15.75712,      39.98577,      +15.75647,  3060750.40, -2556275.51,  5081651.54,      52.060990,       +3.094258,   94638.03,  319521.99,   19973.75,            19820.67,   142.01,  61781.30,           55141.96,     29.07,      8.41,          19.54,  +0.90,  -1.62

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.