Orbital Analysis for matched events on 20210813_233700.545_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 59.79° Bg 43.12° Vg 56.48km/s
mass 0.01925g, abs. mag -0.2
Path Details
------------
start -2.25° 52.12° 104.26km
end   -2.34° 52.05° 94.06km

Orbit Details
-------------
Semimajor axis 9.13A.U., eccentricity 0.89, inclination 106.39°, Period 27.59Y, LA Sun 141.13°, last Perihelion 2021-07-31

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: 2459440.484034086578
Time: 2021-08-13 23:37:00.545080 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 30.41765 deg
 R.A. =  41.16772  Dec = +62.41168 deg
Intersection 2 - Stations: UK000S and UK0027
 Convergence angle = 18.17999 deg
 R.A. =  39.37630  Dec = +60.13188 deg
Intersection 3 - Stations: UK001Z and UK0027
 Convergence angle = 48.58672 deg
 R.A. =  39.48117  Dec = +61.77588 deg

Best intersection: Stations UK001Z and UK0027 with Qconv = 48.59 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2802105.34 +/- 25.72 m
 Y =  -2838951.43 +/- 19.04 m
 Z =   5093004.47 +/- 119.46 m
 Vx =    21057.28 +/- 850.82 m/s
 Vy =    17350.01 +/- 689.78 m/s
 Vz =    50686.14 +/- 1370.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.644082e+02, +3.592764e+02, -1.361234e+03, -3.577903e+03, -3.295230e+03, -2.522159e+04
+3.592764e+02, +3.871287e+02, -7.910857e+02, -3.281523e+03, -2.122573e+03, -1.947956e+04
-1.361234e+03, -7.910857e+02, +1.435476e+04, -2.795110e+03, -3.508194e+03, +1.040755e+05
-3.577903e+03, -3.281523e+03, -2.795110e+03, +5.626968e+04, +4.272893e+04, +1.803563e+05
-3.295230e+03, -2.122573e+03, -3.508194e+03, +4.272893e+04, +4.078943e+04, +1.469165e+05
-2.522159e+04, -1.947956e+04, +1.040755e+05, +1.803563e+05, +1.469165e+05, +1.789581e+06

Timing offsets (from input data):
    UK000S: 0.000539 s
    UK001Z: -0.000194 s
    UK0027: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:37:00.545080 UTC
  Lon     = +-2.246466 +/- 0.0004 deg
  Lat     = +52.115104 +/- 0.0007 deg
  Lat geo = +51.931440 +/- 0.0007 deg
  Ht      =  104260.29 +/- 91.81 m

  JD dynamic   = 2459440.484834827483 
  LST apparent = 314.6257624145 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  39.48660 +/- 0.1464 deg
  Dec       = +61.70648 +/- 0.5807 deg
  Azimuth   =  42.94602 +/- 0.7322 deg
  Elevation = +46.13940 +/- 0.2804 deg
  Vavg      =  55.57522 +/- 0.8477 km/s
  Vinit     =  57.56315 +/- 1.2297 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  39.54074 +/- 0.1464 deg
  Dec       = +61.45316 +/- 0.5807 deg
  Azimuth   =  43.25036 +/- 0.7322 deg
  Elevation = +45.99711 +/- 0.2804 deg
  Vavg      =  55.71311 +/- 0.8477 km/s
  Vinit     =  57.70104 +/- 1.2297 km/s
Radiant (geocentric, J2000):
  R.A.   =  39.87983 +/- 0.1467 deg
  Dec    = +61.40708 +/- 0.5956 deg
  Vg     =  56.48265 +/- 1.2552 km/s
  Vinf   =  57.56315 +/- 1.2297 km/s
  Zc     =  43.99518 +/- 0.2788 deg
  Zg     =  44.43377 +/- 0.3015 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.79075 +/- 0.3385 deg
  Bg     = +43.12124 +/- 0.5444 deg
  Vh     =  40.67215 +/- 1.3326 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.53907 +/- 0.8100 deg
  Bh     = +71.67080 +/- 0.4540 deg
  Vh_x   =  -2.54145 +/- 0.2313 km/s
  Vh_y   = -12.53539 +/- 0.6451 km/s
  Vh_z   = -38.60866 +/- 1.1939 km/s
Orbit:
  La Sun = 141.133481 +/- -0.0000 deg
  a      =   9.129772 +/- 1.8065 AU
  e      =   0.891503 +/- 0.1127
  i      = 106.388742 +/- 0.4756 deg
  peri   = 162.336971 +/- 1.7708 deg
  node   = 141.132894 +/- 0.0000 deg
  Pi     = 303.469866 +/- 1.7708 deg
  q      =   0.990555 +/- 0.0018 AU
  f      =  17.659214 +/- 1.7708 deg
  M      =   0.465832 +/- 2.0058 deg
  Q      =  17.268989 +/- 3.6115 AU
  n      =   0.035728 +/- 0.0961 deg/day
  T      =  27.586114 +/- 6.1606 years
  Last perihelion JD = 2459427.446720 (2021-07-31 22:43:16.628147) +/- 1.9184 days
  Tj     =   0.231440 +/- 0.6139
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.319565e-02, +1.952260e-04, +2.153583e-01, -5.060027e-08, +3.476627e-03, +7.273542e-04
q   , +1.952260e-04, +3.365055e-06, +3.298106e-03, -9.322804e-10, +5.430554e-05, +1.341936e-05
Tp  , +2.153583e-01, +3.298106e-03, +3.607847e+00, -8.634508e-07, +5.841330e-02, +1.242024e-02
node, -5.060027e-08, -9.322804e-10, -8.634508e-07, +3.845548e-13, -1.434517e-08, -5.544083e-09
peri, +3.476627e-03, +5.430554e-05, +5.841330e-02, -1.434517e-08, +9.482059e-04, +2.063777e-04
i   , +7.273542e-04, +1.341936e-05, +1.242024e-02, -5.544083e-09, +2.063777e-04, +7.993017e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.868804
 a2 = 22.832021

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 2.123e-06 s
  Stddev    = 1.46e-03 s

Begin point on the trajectory:
  Lon =    -2.246461 +/- 0.0003 deg
  Lat =    52.115106 +/- 0.0006 deg
  Ht  = 104260.74 +/- 82.55 m
End point on the trajectory:
  Lon =    -2.343778 +/- 0.0002 deg
  Lat =    52.051445 +/- 0.0009 deg
  Ht  = 94055.56 +/- 126.49 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,   0.000000,   0.000000,   104228.52,    96070.15,          0.015624,     26.86,     39.28,              42.99, 0.4649,    True,    True, {"ff_name": "FF_UK000S_20210813_233655_893_0310784.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.768783,  20.164596,   103816.06,    94055.56,          0.020174,     54.84,     26.66,              20.50, 0.1226,    True,    True, {"ff_name": "FF_UK001Z_20210813_233653_062_0306432.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.028264,  40.450156,   104260.74,    94889.24,          0.006974,      4.15,     14.81,              25.11, 0.1801,    True,    True, {"ff_name": "FF_UK0027_20210813_233654_977_0305664.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,  0.004322, 2459440.484034621622, 170.61775,  71.66722,              347.09684,  35.07288,       347.08246,       35.09212,    170.61775,     +71.66722,     170.67858,      +71.67914,  2802089.22, -2838964.71,  5092965.68,      52.114906,       -2.246957,  104228.52,  178402.53,       0.00,               44.06,   149.49,      0.00,           58178.85,    -57.94,    -39.68,          81.19,  +2.77,  +1.51
  1,     UK000S,       0,  0.044478, 2459440.484035086352, 171.46725,  71.27404,              346.58613,  34.84425,       346.58632,       34.84400,    171.46725,     +71.27404,     171.46658,      +71.27389,  2801298.40, -2839616.30,  5091062.13,      52.105207,       -2.261785,  102669.94,  176815.87,    2161.82,             2205.87,    -0.20,  53835.47,           58178.85,      0.74,      0.51,           1.05,  +1.70,  +0.46
  2,     UK000S,       0,  0.084682, 2459440.484035551548, 172.23506,  70.82060,              346.06332,  34.55610,       346.05105,       34.57225,    172.23506,     +70.82060,     172.28537,      +70.83024,  2800455.08, -2840311.15,  5089032.20,      52.094857,       -2.277586,  101008.24,  175137.41,    4467.17,             4511.23,    -9.12,  57341.39,           58178.85,    -48.06,    -32.90,          68.59,  +1.40,  +0.18
  3,     UK000S,       0,  0.124870, 2459440.484036016744, 173.19055,  70.32854,              345.44416,  34.26943,       345.44992,       34.26192,    173.19055,     +70.32854,     173.16804,      +70.32416,  2799519.57, -2841081.96,  5086780.37,      52.083366,       -2.295097,   99165.35,  173292.23,    7024.52,             7068.58,   234.88,  63634.68,           58178.85,     22.18,     15.16,          31.98,  +1.37,  +0.18
  4,     UK000S,       0,  0.165038, 2459440.484036481474, 173.83367,  69.93009,              344.98341,  34.02217,       344.98575,       34.01913,    173.83367,     +69.93009,     173.82507,      +69.92834,  2798807.54, -2841668.63,  5085066.48,      52.074615,       -2.308466,   97763.00,  171900.78,    8970.95,             9015.01,  -130.88,  48457.28,           56752.99,      8.95,      6.12,          13.00,  +1.53,  +0.35
  5,     UK000S,       0,  0.205226, 2459440.484036946669, 174.65285,  69.44971,              344.40521,  33.73725,       344.41983,       33.71847,    174.65285,     +69.44971,     174.59745,      +69.43913,  2797947.83, -2842376.98,  5082997.10,      52.064041,       -2.324573,   96070.15,  170234.84,   11321.10,            11365.16,   -94.08,  58478.81,           56592.11,     54.92,     37.50,          80.57,  +2.72,  +1.56
  0,     UK001Z,       0,  0.013057, 2459440.484034794383,  86.11593,  68.55856,               19.19855,  34.55457,        19.18178,       34.57242,     86.11593,     +68.55856,      86.11932,      +68.58109,  2801879.96, -2839137.13,  5092461.97,      52.112340,       -2.250899,  103816.06,  179825.41,       0.00,              616.11,   218.71,      0.00,           55859.31,    -30.81,    -63.77,          81.23,  +2.97,  +1.70
  1,     UK001Z,       0,  0.053165, 2459440.484035258647,  86.71607,  68.57831,               18.96540,  34.44707,        18.97078,       34.44134,     86.71607,     +68.57831,      86.71498,      +68.57107,  2801170.60, -2839721.60,  5090754.51,      52.103639,       -2.264216,  102418.09,  178003.48,    1939.13,             2555.24,  -150.91,  48347.63,           55859.31,      9.83,     20.25,          26.08,  +2.43,  +1.18
  2,     UK001Z,       0,  0.093325, 2459440.484035723377,  87.49070,  68.57138,               18.68548,  34.28360,        18.69830,       34.26998,     87.49070,     +68.57138,      87.48750,      +68.55418,  2800268.48, -2840464.90,  5088583.05,      52.092566,       -2.281107,  100640.62,  175691.09,    4405.21,             5021.32,     3.44,  61406.45,           55859.31,     23.12,     47.58,          62.10,  +2.05,  +0.83
  3,     UK001Z,       0,  0.133473, 2459440.484036188107,  88.21464,  68.56256,               18.42408,  34.13087,        18.44434,       34.10941,     88.21464,     +68.56256,      88.20873,      +68.53543,  2799446.57, -2841142.10,  5086604.67,      52.082470,       -2.296512,   99021.57,  173587.85,    6652.01,             7268.12,   -60.81,  55962.88,           55859.31,     36.11,     74.19,          98.05,  +2.03,  +0.83
  4,     UK001Z,       0,  0.173665, 2459440.484036653303,  89.03791,  68.51323,               18.15065,  33.92639,        18.15332,       33.92357,     89.03791,     +68.51323,      89.03760,      +68.50966,  2798523.16, -2841902.94,  5084381.96,      52.071118,       -2.313800,   97203.00,  171229.75,    9176.29,             9792.40,   149.90,  62805.63,           57445.59,      4.68,      9.64,          12.91,  +2.17,  +1.00
  5,     UK001Z,       0,  0.213789, 2459440.484037117567,  89.71319,  68.52081,               17.89379,  33.80098,        17.91947,       33.77392,     89.71319,     +68.52081,      89.70372,      +68.48657,  2797799.25, -2842499.40,  5082639.46,      52.062213,       -2.327390,   95777.63,  169383.92,   11155.21,            11771.32,  -180.85,  49320.08,           56738.45,     44.63,     91.56,         124.04,  +2.97,  +1.83
  6,     UK001Z,       0,  0.253993, 2459440.484037582763,  90.52127,  68.44692,               17.63724,  33.58250,        17.63206,       33.58792,     90.52127,     +68.44692,      90.52462,      +68.45379,  2796924.46, -2843220.18,  5080533.78,      52.051445,       -2.343778,   94055.56,  167158.22,   13546.59,            14162.69,  -103.74,  59481.04,           56780.13,     -8.82,    -18.19,          24.94,  +4.57,  +3.45
  0,     UK0027,       0,  0.000000, 2459440.484034086578,  50.78457,  86.15361,                6.05495,  50.79272,         6.05506,       50.79063,     50.78457,     +86.15361,      50.81465,      +86.15315,  2802105.57, -2838951.24,  5093005.03,      52.115106,       -2.246461,  104260.74,  133783.89,       0.00,                0.63,   354.83,      0.00,           54707.08,      4.70,      1.32,           7.52,  +2.41,  +1.78
  1,     UK0027,       0,  0.040028, 2459440.484034549911,  52.15408,  86.51583,                5.46598,  50.77884,         5.46609,       50.77720,     52.15408,     +86.51583,      52.18015,      +86.51542,  2801359.80, -2839565.71,  5091209.93,      52.105960,       -2.260453,  102790.94,  131931.27,    2038.66,             2038.02,    88.08,  50930.78,           54707.08,      3.64,      1.02,           5.91,  +1.76,  +1.16
  2,     UK0027,       0,  0.080048, 2459440.484035013244,  53.95088,  86.92635,                4.79709,  50.76771,         4.79784,       50.75830,     53.95088,     +86.92635,      54.11961,      +86.92373,  2800536.68, -2840243.91,  5089228.62,      52.095859,       -2.275879,  101169.01,  129893.20,    4288.79,             4288.16,    34.53,  56225.22,           54707.08,     20.56,      5.76,          33.91,  +1.17,  +0.60
  3,     UK0027,       0,  0.120080, 2459440.484035476577,  56.55380,  87.34522,                4.10494,  50.74448,         4.10586,       50.73468,     56.55380,     +87.34522,      56.75472,      +87.34206,  2799709.88, -2840925.15,  5087238.45,      52.085705,       -2.291374,   99540.20,  127853.38,    6548.97,             6548.34,    -9.65,  56459.43,           54707.08,     21.11,      5.91,          35.36,  +1.02,  +0.49
  4,     UK0027,       0,  0.160120, 2459440.484035939910,  60.67064,  87.78071,                3.36664,  50.70452,         3.36660,       50.70486,     60.67064,     +87.78071,      60.66295,      +87.78084,  2798853.44, -2841630.81,  5085176.96,      52.075179,       -2.307419,   97853.39,  125748.60,    8890.17,             8889.54,    26.72,  58471.48,           55686.08,     -0.72,     -0.20,           1.23,  +1.10,  +0.60
  5,     UK0027,       0,  0.200160, 2459440.484036403242,  66.37799,  88.18214,                2.66179,  50.66348,         2.66071,       50.67202,     66.37799,     +88.18214,      66.14055,      +88.18621,  2798061.19, -2842283.58,  5083269.96,      52.065436,       -2.322275,   96293.34,  123809.27,   11055.91,            11055.28,  -112.37,  54089.41,           55737.57,    -17.84,     -5.01,          30.87,  +3.32,  +2.86
  6,     UK0027,       0,  0.240176, 2459440.484036866575,  73.60379,  88.54501,                2.00500,  50.64639,         2.00619,       50.63778,     73.60379,     +88.54501,      73.87972,      +88.53996,  2797347.99, -2842871.21,  5081553.25,      52.056659,       -2.335666,   94889.24,  122070.10,   13005.54,            13004.91,  -466.19,  48721.20,           55004.51,     17.71,      4.96,          31.08,  +4.32,  +3.89

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.