Orbital Analysis for matched events on 20210813_231646.284_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.35° Bg 38.03° Vg 58.99km/s
mass 0.02375g, abs. mag -0.0
Path Details
------------
start -0.44° 54.17° 111.41km
end   -0.65° 54.05° 94.49km

Orbit Details
-------------
Semimajor axis 9.55A.U., eccentricity 0.90, inclination 113.98°, Period 29.49Y, LA Sun 141.12°, last Perihelion 2021-07-26

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: 2459440.469980141614
Time: 2021-08-13 23:16:46.324308 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002X
 Convergence angle = 10.13836 deg
 R.A. =  49.29160  Dec = +58.38328 deg

Best intersection: Stations UK000Z and UK002X with Qconv = 10.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2516076.53 +/- 873.14 m
 Y =  -2857219.38 +/- 1556.15 m
 Z =   5239363.73 +/- 3207.78 m
 Vx =    21816.74 +/- 6964.60 m/s
 Vy =    23377.85 +/- 6603.26 m/s
 Vz =    50793.80 +/- 14024.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.119156e+04, +1.384167e+05, +3.047720e+05, +1.634147e+04, -1.459145e+05, -2.021145e+05
+1.384167e+05, +2.564149e+05, +5.522629e+05, -1.155395e+04, -3.440531e+05, -5.588502e+05
+3.047720e+05, +5.522629e+05, +1.196293e+06, -1.678372e+03, -7.000991e+05, -1.101314e+06
+1.634147e+04, -1.155395e+04, -1.678372e+03, +7.928699e+04, +1.543847e+05, +3.725074e+05
-1.459145e+05, -3.440531e+05, -7.000991e+05, +1.543847e+05, +7.065227e+05, +1.362265e+06
-2.021145e+05, -5.588502e+05, -1.101314e+06, +3.725074e+05, +1.362265e+06, +2.749558e+06

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK002X: -0.005997 s

Reference point on the trajectory:
  Time: 2021-08-13 23:16:46.324308 UTC
  Lon     = +-0.431874 +/- 0.0253 deg
  Lat     = +54.175913 +/- 0.0208 deg
  Lat geo = +53.996255 +/- 0.0209 deg
  Ht      =  112352.35 +/- 2256.02 m

  JD dynamic   = 2459440.470781346317 
  LST apparent = 311.3672488801 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.97831 +/- 1.8205 deg
  Dec       = +57.80816 +/- 0.5517 deg
  Azimuth   =  44.60546 +/- 1.3313 deg
  Elevation = +40.97136 +/- 0.3598 deg
  Vavg      =  57.72554 +/- 5.9110 km/s
  Vinit     =  60.02087 +/- 16.2163 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.93009 +/- 1.8205 deg
  Dec       = +57.58550 +/- 0.5517 deg
  Azimuth   =  44.85429 +/- 1.3313 deg
  Elevation = +40.84937 +/- 0.3598 deg
  Vavg      =  57.87320 +/- 5.9110 km/s
  Vinit     =  60.16852 +/- 16.2163 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.21827 +/- 1.6714 deg
  Dec    = +57.43624 +/- 0.6160 deg
  Vg     =  58.98658 +/- 16.3666 km/s
  Vinf   =  60.02087 +/- 16.2163 km/s
  Zc     =  49.15667 +/- 0.3624 deg
  Zg     =  49.61217 +/- 0.2683 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.34561 +/- 1.3086 deg
  Bg     = +38.03407 +/- 0.3103 deg
  Vh     =  40.72409 +/- 15.8035 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.47524 +/- 2.0816 deg
  Bh     = +63.18106 +/- 4.1910 deg
  Vh_x   =  -3.35613 +/- 4.1595 km/s
  Vh_y   = -18.06447 +/- 11.9589 km/s
  Vh_z   = -36.34367 +/- 10.4728 km/s
Orbit:
  La Sun = 141.119983 +/- -0.0000 deg
  a      =   9.545181 +/- 4.4944 AU
  e      =   0.899012 +/- 2.3101
  i      = 113.983802 +/- 4.4117 deg
  peri   = 153.841178 +/- 3.6251 deg
  node   = 141.118766 +/- 0.0004 deg
  Pi     = 294.959944 +/- 3.6247 deg
  q      =   0.963948 +/- 0.0056 AU
  f      =  26.154759 +/- 3.6253 deg
  M      =   0.629835 +/- nan deg
  Q      =  18.126414 +/- 8.9908 AU
  n      =   0.033422 +/- 6.5470 deg/day
  T      =  29.490144 +/- 304543465.1185 years
  Last perihelion JD = 2459421.625668 (2021-07-26 03:00:57.681200) +/- 2.4140 days
  Tj     =   0.063079 +/- 12.6462
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.162100e-02, +2.531493e-04, +3.518955e-01, -2.005621e-07, +5.302305e-03, +2.609948e-03
q   , +2.531493e-04, +1.097508e-05, +5.855993e-03, -2.170670e-09, +1.043106e-04, +2.853820e-05
Tp  , +3.518955e-01, +5.855993e-03, +6.103439e+00, -3.225792e-06, +9.544839e-02, +4.204079e-02
node, -2.005621e-07, -2.170670e-09, -3.225792e-06, +1.864405e-12, -4.824935e-08, -2.425536e-08
peri, +5.302305e-03, +1.043106e-04, +9.544839e-02, -4.824935e-08, +1.522928e-03, +6.294102e-04
i   , +2.609948e-03, +2.853820e-05, +4.204079e-02, -2.425536e-08, +6.294102e-04, +3.155656e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 33.548952
 a2 = 9.098311

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 3.164e-05 s
  Stddev    = 5.62e-03 s

Begin point on the trajectory:
  Lon =    -0.443299 +/- 0.0227 deg
  Lat =    54.169116 +/- 0.0189 deg
  Ht  = 111413.61 +/- 2026.68 m
End point on the trajectory:
  Lon =    -0.651315 +/- 0.0078 deg
  Lat =    54.045868 +/- 0.0087 deg
  Ht  = 94493.34 +/- 763.70 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,  34.271413,   8.841169,   111413.61,    96383.61,          0.028306,     85.86,      8.74,               5.71, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_231642_678_0269824.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,  29.362214,   9.594600,   106749.21,    94493.34,          0.007469,     27.39,      7.71,              60.25, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20210813_231639_424_0052736.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,     UK000Z,       1,  0.000000, 2459440.469980141614,  61.71594,  60.39085,               34.49982,  35.83243,        34.56418,       35.74591,     61.71594,     +60.39085,      61.75976,      +60.29216,  2515921.34, -2857385.66,  5239002.44,      54.173886,       -0.435113,  112072.42,  188361.44,       0.00,              426.93,  1543.79,      0.00,           43806.17,     37.13,    330.12,         363.77,  +5.95,  +4.58
  1,     UK000Z,       0,  0.040056, 2459440.469980605412,  61.82988,  60.34254,               34.49042,  35.75861,        34.51613,       35.72462,     61.82988,     +60.34254,      61.84663,      +60.30351,  2515556.09, -2857777.05,  5238152.05,      54.169116,       -0.443299,  111413.61,  187361.18,    1004.87,             1431.80,    -0.17,  25086.65,           43806.17,     13.62,    129.71,         143.58,  +2.74,  +1.38
  2,     UK000Z,       0,  0.080092, 2459440.469981068745,  62.06022,  60.33472,               34.39498,  35.67464,        34.39950,       35.66872,     62.06022,     +60.33472,      62.06336,      +60.32788,  2514646.67, -2858751.55,  5236034.74,      54.157232,       -0.463428,  109773.67,  184878.90,    3506.81,             3933.73,   220.62,  62492.17,           43806.17,      2.26,     22.39,          25.10,  +2.72,  +1.39
  3,     UK000Z,       0,  0.120104, 2459440.469981531613,  62.19811,  60.34176,               34.32787,  35.63301,        34.32652,       35.63478,     62.19811,     +60.34176,      62.19779,      +60.34381,  2514099.55, -2859337.82,  5234760.93,      54.150079,       -0.475604,  108787.30,  183383.80,    5012.01,             5438.94,  -783.17,  37618.76,           43806.17,     -0.67,     -6.65,           7.51,  +2.30,  +0.98
  4,     UK000Z,       0,  0.160104, 2459440.469981994480,  62.44625,  60.38290,               34.18316,  35.57910,        34.19085,       35.56904,     62.44625,     +60.38290,      62.45158,      +60.37128,  2513082.61, -2860427.52,  5232393.29,      54.136772,       -0.498091,  106954.47,  180609.95,    7809.75,             8236.68,  -278.22,  69943.57,           49033.71,      3.80,     37.15,          42.65,  +2.67,  +1.39
  5,     UK000Z,       0,  0.200116, 2459440.469982457813,  62.68876,  60.40745,               34.05492,  35.51532,        34.06171,       35.50645,     62.68876,     +60.40745,      62.69363,      +60.39719,  2512143.30, -2861434.04,  5230206.39,      54.124472,       -0.518873,  105262.15,  178048.28,   10393.91,            10820.84,   -30.53,  64584.68,           52748.99,      3.31,     32.31,          37.63,  +2.04,  +0.79
  6,     UK000Z,       0,  0.240100, 2459440.469982920680,  62.91233,  60.45913,               33.91244,  35.47809,        33.93695,       35.44593,     62.91233,     +60.45913,      62.92798,      +60.42198,  2511260.93, -2862379.55,  5228152.06,      54.112908,       -0.538404,  103672.92,  175642.35,   12821.43,            13248.36,    -1.50,  60712.15,           54928.58,     12.23,    115.40,         136.27,  +1.99,  +0.77
  7,     UK000Z,       0,  0.280164, 2459440.469983384479,  63.06472,  60.41085,               33.88495,  35.39159,        33.86780,       35.41373,     63.06472,     +60.41085,      63.05625,      +60.43660,  2510793.54, -2862880.39,  5227063.86,      54.106779,       -0.548828,  102831.25,  174365.77,   14107.31,            14534.23, -1260.25,  32095.61,           53932.11,     -7.83,    -79.31,          94.28,  +2.19,  +0.98
  8,     UK000Z,       0,  0.320120, 2459440.469983846880,  63.33888,  60.50154,               33.68765,  35.36668,        33.71075,       35.33646,     63.33888,     +60.50154,      63.35357,      +60.46654,  2509723.90, -2864026.56,  5224573.53,      54.092743,       -0.572465,  100905.76,  171451.85,   17050.02,            17476.95,  -673.37,  73648.83,           54779.52,     11.26,    105.97,         128.20,  +1.37,  +0.20
  9,     UK000Z,       0,  0.360208, 2459440.469984310679,  63.57657,  60.43469,               33.63717,  35.23824,        33.60168,       35.28363,     63.57657,     +60.43469,      63.55931,      +60.48774,  2509009.03, -2864792.59,  5222909.17,      54.083355,       -0.588317,   99619.26,  169503.32,   19016.73,            19443.66, -1145.11,  49059.86,           54898.53,    -15.28,   -158.58,         193.87,  +2.23,  +1.08
 10,     UK000Z,       0,  0.400196, 2459440.469984773546,  63.86078,  60.49186,               33.46329,  35.18611,        33.44694,       35.20714,     63.86078,     +60.49186,      63.85380,      +60.51640,  2508010.97, -2865862.07,  5220585.48,      54.070239,       -0.610381,   97823.74,  166785.90,   21762.53,            22189.46,  -798.42,  68665.58,           55588.77,     -7.22,    -72.16,          89.68,  +1.61,  +0.50
 11,     UK000Z,       0,  0.440188, 2459440.469985236414,  64.09752,  60.53671,               33.32085,  35.14105,        33.31853,       35.14404,     64.09752,     +60.53671,      64.09813,      +60.54020,  2507210.21, -2866720.12,  5218721.16,      54.059707,       -0.628115,   96383.61,  164605.48,   23965.52,            24392.45, -1084.41,  55085.74,           55967.62,     -1.04,    -10.12,          12.75,  +1.74,  +0.66
 12,     UK000Z,       1,  0.480332, 2459440.469985701144,  64.25200,  60.38592,               33.37519,  34.97807,        33.26242,       35.11831,     64.25200,     +60.38592,      64.20262,      +60.55190,  2506880.64, -2867073.28,  5217953.85,      54.055370,       -0.635513,   95790.90,  163705.25,   24872.22,            25299.15, -2765.93,  22586.22,           55092.39,    -40.62,   -477.99,         604.43,  +5.92,  +4.85
  0,     UK002X,       0,  0.164551, 2459440.469981877133, 359.96373,   8.09804,              118.95572,  28.10375,       118.96531,       28.11668,    359.96373,      +8.09804,     359.95037,       +8.10490,  2512968.70, -2860549.58,  5232128.09,      54.135281,       -0.500549,  106749.21,  220296.00,       0.00,             8550.06,  1235.91,      0.00,           56413.18,    -16.10,    -57.17,          55.61,  +3.48,  +1.76
  1,     UK002X,       0,  0.204803, 2459440.469982342795, 359.74347,   7.71294,              119.38942,  27.88185,       119.38489,       27.87577,    359.74347,      +7.71294,     359.75084,       +7.70971,  2512269.07, -2861299.28,  5230499.20,      54.126119,       -0.516072,  105488.68,  219372.53,    1924.79,            10474.84,   310.57,  47818.44,           56413.18,      7.54,     26.82,          26.20,  +3.20,  +1.49
  2,     UK002X,       0,  0.245183, 2459440.469982810318, 359.48191,   7.15284,              119.96066,  27.52801,       119.96718,       27.53669,    359.48191,      +7.15284,     359.47344,       +7.15746,  2511301.49, -2862336.09,  5228246.49,      54.113440,       -0.537474,  103745.95,  218120.26,    4586.71,            13136.77,   105.62,  65921.88,           56413.18,    -10.76,    -38.23,          37.56,  +2.11,  +0.42
  3,     UK002X,       0,  0.285467, 2459440.469983276445, 359.24926,   6.71663,              120.43141,  27.26546,       120.43043,       27.26416,    359.24926,      +6.71663,     359.25181,       +6.71594,  2510535.89, -2863156.48,  5226464.00,      54.103399,       -0.554442,  102367.39,  217145.76,    6693.01,            15243.06,  -640.47,  52286.15,           56413.18,      1.61,      5.73,           5.65,  +1.72,  +0.04
  4,     UK002X,       0,  0.325843, 2459440.469983743969, 358.96701,   6.15342,              121.01885,  26.91568,       121.01758,       26.91400,    358.96701,      +6.15342,     358.97015,       +6.15252,  2509569.05, -2864192.50,  5224213.00,      54.090710,       -0.575825,  100627.06,  215940.51,    9352.92,            17902.97,  -844.24,  65878.44,           58213.96,      2.07,      7.37,           7.31,  +1.44,  -0.23
  5,     UK002X,       0,  0.366175, 2459440.469984210562, 358.71468,   5.65391,              121.53917,  26.60477,       121.53633,       26.60105,    358.71468,      +5.65391,     358.72021,       +5.65192,  2508719.03, -2865103.34,  5222233.98,      54.079545,       -0.594644,   99097.50,  214901.62,   11691.44,            20241.49, -1361.51,  57981.80,           58694.85,      4.57,     16.27,          16.22,  +1.21,  -0.45
  6,     UK002X,       0,  0.406535, 2459440.469984677620, 358.45176,   5.11099,              122.09092,  26.25955,       122.09237,       26.26144,    358.45176,      +5.11099,     358.45133,       +5.11201,  2507811.51, -2866075.79,  5220121.11,      54.067616,       -0.614722,   97465.00,  213815.81,   14188.14,            22738.19, -1722.82,  61860.67,           59206.03,     -2.32,     -8.25,           8.27,  +1.23,  -0.42
  7,     UK002X,       0,  0.446867, 2459440.469985144679, 358.20345,   4.60938,              122.60333,  25.94161,       122.60557,       25.94450,    358.20345,      +4.60938,     358.20209,       +4.61093,  2506977.50, -2866969.49,  5218179.35,      54.056645,       -0.633187,   95965.18,  212838.33,   16482.62,            25032.68, -2281.15,  56889.97,           59225.93,     -3.54,    -12.60,          12.69,  +1.19,  -0.45
  8,     UK002X,       0,  0.487187, 2459440.469985611271, 357.94675,   4.11786,              123.11601,  25.63500,       123.11120,       25.62881,    357.94675,      +4.11786,     357.95552,       +4.11453,  2506158.81, -2867846.76,  5216273.27,      54.045868,       -0.651315,   94493.34,  211898.55,   18734.95,            27285.01, -2879.25,  55861.43,           59011.01,      7.55,     26.88,          27.18,  +1.64,  +0.01

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.