Orbital Analysis for matched events on 20210816_015307.898_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.13° Bg 37.39° Vg 58.08km/s
mass 0.01211g, abs. mag -0.3
Path Details
------------
start -2.40° 52.61° 107.17km
end   -2.48° 52.58° 97.61km

Orbit Details
-------------
Semimajor axis 5.06A.U., eccentricity 0.81, inclination 114.04°, Period 11.40Y, LA Sun 143.15°, last Perihelion 2021-07-25

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: 2459442.578563645482
Time: 2021-08-16 01:53:07.898970 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0027
 Convergence angle = 20.40635 deg
 R.A. =  52.11944  Dec = +57.79909 deg

Best intersection: Stations UK001Z and UK0027 with Qconv = 20.41 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3892769.73 +/- 64.93 m
 Y =   -646733.93 +/- 24.09 m
 Z =   5129674.18 +/- 116.48 m
 Vx =    19724.63 +/- 1212.42 m/s
 Vy =    24660.27 +/- 717.70 m/s
 Vz =    49992.72 +/- 1359.51 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.589754e+03, -5.759329e+02, -7.336474e+03, +2.802542e+04, -1.155926e+04, -8.079841e+04
-5.759329e+02, +5.908150e+02, +1.772842e+03, -4.625799e+03, +3.085366e+03, +1.052177e+04
-7.336474e+03, +1.772842e+03, +1.459282e+04, -4.506554e+04, +1.739794e+04, +1.341278e+05
+2.802542e+04, -4.625799e+03, -4.506554e+04, +2.671128e+05, -1.217796e+05, -7.082193e+05
-1.155926e+04, +3.085366e+03, +1.739794e+04, -1.217796e+05, +6.808309e+04, +2.894539e+05
-8.079841e+04, +1.052177e+04, +1.341278e+05, -7.082193e+05, +2.894539e+05, +1.974369e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK001Z: -0.000218 s
    UK0027: 0.000000 s
    UK003G: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:53:07.898970 UTC
  Lon     = +-2.400140 +/- 0.0003 deg
  Lat     = +52.612590 +/- 0.0011 deg
  Lat geo = +52.429835 +/- 0.0011 deg
  Ht      =  107170.15 +/- 58.90 m

  JD dynamic   = 2459442.579364386387 
  LST apparent = 350.5671956590 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.34528 +/- 0.9495 deg
  Dec       = +57.72111 +/- 0.8553 deg
  Azimuth   =  56.69505 +/- 1.7377 deg
  Elevation = +56.10533 +/- 0.2544 deg
  Vavg      =  57.84150 +/- 0.9966 km/s
  Vinit     =  59.13089 +/- 1.0334 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.59815 +/- 0.9495 deg
  Dec       = +57.51558 +/- 0.8553 deg
  Azimuth   =  56.96760 +/- 1.7377 deg
  Elevation = +55.91204 +/- 0.2544 deg
  Vavg      =  57.97616 +/- 0.9966 km/s
  Vinit     =  59.26555 +/- 1.0334 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.47766 +/- 0.9418 deg
  Dec    = +57.54885 +/- 0.8638 deg
  Vg     =  58.08000 +/- 1.0530 km/s
  Vinf   =  59.13089 +/- 1.0334 km/s
  Zc     =  33.99532 +/- 0.2578 deg
  Zg     =  34.30938 +/- 0.2518 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.12584 +/- 0.9342 deg
  Bg     = +37.39086 +/- 0.6732 deg
  Vh     =  39.71030 +/- 1.3277 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.58788 +/- 1.8664 deg
  Bh     = +62.64295 +/- 0.2144 deg
  Vh_x   =  -2.03795 +/- 0.4704 km/s
  Vh_y   = -18.13408 +/- 0.7381 km/s
  Vh_z   = -35.26910 +/- 1.1588 km/s
Orbit:
  La Sun = 143.145712 +/- nan deg
  a      =   5.064383 +/- 1.9523 AU
  e      =   0.812140 +/- 0.1088
  i      = 114.040263 +/- 0.3305 deg
  peri   = 149.880758 +/- 1.4390 deg
  node   = 143.145538 +/- 0.0000 deg
  Pi     = 293.026296 +/- 1.4391 deg
  q      =   0.951397 +/- 0.0027 AU
  f      =  30.115589 +/- 1.4390 deg
  M      =   1.900030 +/- 2.8051 deg
  Q      =   9.177369 +/- 3.9054 AU
  n      =   0.086480 +/- 0.0965 deg/day
  T      =  11.396997 +/- 7.0486 years
  Last perihelion JD = 2459420.608545 (2021-07-25 02:36:18.287414) +/- 1.8680 days
  Tj     =   0.558673 +/- 0.6026
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.305494e-02, -1.497401e-04, +2.177453e-01, +4.611432e-08, +2.722349e-03, -6.558291e-04
q   , -1.497401e-04, +7.979921e-06, -1.544118e-03, -2.022724e-10, -5.029267e-06, +2.868368e-06
Tp  , +2.177453e-01, -1.544118e-03, +3.854735e+00, +8.205705e-07, +5.061860e-02, -1.166711e-02
node, +4.611432e-08, -2.022724e-10, +8.205705e-07, +1.815532e-13, +1.100851e-08, -2.582260e-09
peri, +2.722349e-03, -5.029267e-06, +5.061860e-02, +1.100851e-08, +6.965330e-04, -1.565306e-04
i   , -6.558291e-04, +2.868368e-06, -1.166711e-02, -2.582260e-09, -1.565306e-04, +3.672818e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.131530
 a2 = 37.102521

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.060e-06 s
  Stddev    = 1.03e-03 s

Begin point on the trajectory:
  Lon =    -2.399980 +/- 0.0003 deg
  Lat =    52.612654 +/- 0.0011 deg
  Ht  = 107167.93 +/- 78.96 m
End point on the trajectory:
  Lon =    -2.478772 +/- 0.0003 deg
  Lat =    52.581434 +/- 0.0013 deg
  Ht  = 97612.65 +/- 85.00 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
    UK001L,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105737.41,    97094.15,          0.109135,       nan,       nan,              60.32, 0.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_015256_750_0520192.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   106333.12,    98499.08,          0.009662,     27.84,     24.59,              42.62, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210816_015303_855_0516864.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.182620,  35.644730,   107167.93,    97612.65,          0.015451,     21.76,     40.45,              42.67, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210816_015303_571_0513792.fits"}
    UK003G,    True,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107841.09,   102354.54,          1.026773,       nan,       nan,              52.61, 0.0000,    True,    True, {"ff_name": "FF_UK003G_20210816_015305_508_0521216.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,     UK001L,       1, -2.137796, 2459442.578538902570, 261.50403,  60.45665,              317.49862,  43.12771,       317.54810,       43.09780,    261.50403,     +60.45665,     261.40467,      +60.47122,  3892193.93,  -647453.81,  5128214.79,      52.607917,       -2.402890,  105737.41,  153232.92,       0.00,             1726.15, 128343.60,     -0.00,           57451.16,    124.30,    -16.84,         168.84,  +3.55,  +2.62
  1,     UK001L,       1, -2.097520, 2459442.578539368697, 261.24848,  59.96911,              317.03025,  42.75859,       317.11050,       42.71027,    261.24848,     +59.96911,     261.09470,      +59.99246,  3891679.47,  -648096.99,  5126910.90,      52.603739,       -2.413499,  104457.42,  152461.31,    1542.23,             3268.38, 127504.28,  38291.61,           57451.16,    200.95,    -27.34,         274.37,  +2.99,  +2.07
  2,     UK001L,       1, -2.056952, 2459442.578539838083, 260.65778,  59.04248,              316.20496,  41.99909,       316.27951,       41.95456,    260.65778,     +59.04248,     260.51722,      +59.06367,  3890694.39,  -649328.58,  5124414.16,      52.595732,       -2.433665,  102006.75,  151011.64,    4495.35,             6221.50, 128058.57,  72794.15,           57451.16,    185.67,    -25.24,         255.94,  +1.07,  +0.17
  3,     UK001L,       1, -2.016524, 2459442.578540306073, 260.27963,  58.30799,              315.53970,  41.42333,       315.64456,       41.36107,    260.27963,     +58.30799,     260.08849,      +58.33728,  3889939.44,  -650272.44,  5122500.71,      52.589589,       -2.449164,  100128.87,  149932.07,    6758.55,             8484.70, 127931.23,  55981.19,           57451.16,    260.11,    -35.51,         361.16,  +0.47,  -0.41
  4,     UK001L,       1, -1.976056, 2459442.578540774528, 259.83765,  57.54987,              314.89438,  40.79610,       314.99367,       40.73750,    259.83765,     +57.54987,     259.65906,      +57.57713,  3889162.09,  -651244.30,  5120530.51,      52.583258,       -2.465123,   98195.53,  148848.24,    9088.90,            10815.05, 127868.66,  57584.81,           57842.56,    245.41,    -33.49,         343.23,  +0.91,  +0.05
  5,     UK001L,       1, -1.935848, 2459442.578541239724, 259.77782,  57.08084,              314.41653,  40.49681,       314.62245,       40.37564,    259.77782,     +57.08084,     259.41983,      +57.13689,  3888719.22,  -651797.98,  5119408.04,      52.579649,       -2.474289,   97094.15,  148246.32,   10416.53,            12142.68, 126818.77,  33019.22,           54430.02,    507.73,    -70.26,         713.17,  +5.43,  +4.58
  0,     UK001Z,       0,  0.020736, 2459442.578563887160, 146.75845,  65.07256,               10.79853,  27.33551,        10.79435,       27.33827,    146.75845,     +65.07256,     146.76517,      +65.07626,  3892442.25,  -647143.35,  5128844.18,      52.609933,       -2.406871,  106333.12,  224705.25,       0.00,              981.71,   -36.77,      0.00,           59981.49,    -12.02,    -13.62,          16.68,  +5.40,  +3.64
  1,     UK001Z,       0,  0.061012, 2459442.578564353287, 147.51240,  64.82340,               10.53084,  27.00797,        10.52095,       27.01448,    147.51240,     +64.82340,     147.52844,      +64.83205,  3891656.56,  -648125.64,  5126852.83,      52.603554,       -2.422983,  104377.40,  222952.73,    2355.35,             3337.06,   -62.97,  58480.34,           59981.49,    -28.20,    -31.96,          39.43,  +3.18,  +1.44
  2,     UK001Z,       0,  0.101292, 2459442.578564819880, 148.33534,  64.57047,               10.22624,  26.67060,        10.23059,       26.66774,    148.33534,     +64.57047,     148.32876,      +64.56669,  3890830.04,  -649158.98,  5124757.97,      52.596836,       -2.439929,  102320.35,  221121.47,    4833.13,             5814.84,    33.01,  61513.82,           59981.49,     12.34,     13.97,          17.39,  +2.37,  +0.65
  3,     UK001Z,       0,  0.141572, 2459442.578565286007, 149.11996,  64.31301,                9.93424,  26.33506,         9.94705,       26.32665,    149.11996,     +64.31301,     149.09981,      +64.30198,  3890031.39,  -650157.48,  5122733.76,      52.590338,       -2.456314,  100332.91,  219364.08,    7227.35,             8209.06,    45.44,  59439.33,           59981.49,     36.08,     40.83,          51.23,  +1.85,  +0.14
  4,     UK001Z,       0,  0.181840, 2459442.578565752134, 149.82327,  64.05805,                9.67364,  26.01242,         9.68260,       26.00654,    149.82327,     +64.05805,     149.80943,      +64.05039,  3889294.40,  -651078.88,  5120865.85,      52.584337,       -2.471452,   98499.08,  217753.10,    9436.70,            10418.41,  -126.29,  54866.17,           58955.56,     25.10,     28.41,          35.91,  +2.20,  +0.51
  0,     UK0027,       0,  0.000000, 2459442.578563645482, 172.87945,  75.56780,              359.28703,  36.94813,       359.28680,       36.94831,    172.87945,     +75.56780,     172.88020,      +75.56797,  3892777.57,  -646724.12,  5129694.06,      52.612654,       -2.399980,  107167.93,  175703.02,       0.00,               23.51,   231.20,      0.00,           57697.84,     -0.69,     -0.37,           0.92,  +3.43,  +2.21
  1,     UK0027,       0,  0.040292, 2459442.578564111609, 174.17362,  75.20788,              358.86185,  36.60153,       358.85502,       36.60700,    174.17362,     +75.20788,     174.19628,      +75.21308,  3892038.38,  -647648.28,  5127820.56,      52.606655,       -2.415147,  105327.80,  174048.87,    2215.96,             2192.45,    17.63,  54997.49,           57697.84,    -20.71,    -11.17,          27.88,  +2.39,  +1.19
  2,     UK0027,       0,  0.080600, 2459442.578564578202, 175.60341,  74.81720,              358.37495,  36.23302,       358.38195,       36.22744,    175.60341,     +74.81720,     175.58081,      +74.81202,  3891236.21,  -648651.18,  5125787.43,      52.600138,       -2.431596,  103331.21,  172268.26,    4620.73,             4597.21,    38.95,  59659.78,           57697.84,     21.01,     11.32,          28.57,  +1.40,  +0.22
  3,     UK0027,       0,  0.120896, 2459442.578565044794, 176.96694,  74.42721,              357.89210,  35.87188,       357.91889,       35.85061,    176.96694,     +74.42721,     176.88018,      +74.40786,  3890459.53,  -649622.20,  5123818.91,      52.593822,       -2.447533,  101398.29,  170558.98,    6949.07,             6925.56,   -15.45,  57781.03,           57697.84,     79.70,     42.86,         109.43,  +1.05,  -0.11
  4,     UK0027,       0,  0.161216, 2459442.578565511387, 178.17684,  74.00509,              357.44023,  35.48235,       357.45683,       35.46923,    178.17684,     +74.00509,     178.12391,      +73.99340,  3889692.52,  -650581.13,  5121874.91,      52.587580,       -2.463278,   99489.68,  168885.67,    9248.41,             9224.90,  -100.26,  57027.31,           57637.39,     48.91,     26.32,          67.83,  +0.87,  -0.27
  5,     UK0027,       0,  0.201548, 2459442.578565978445, 179.29332,  73.56754,              357.00254,  35.08115,       356.99769,       35.08496,    179.29332,     +73.56754,     179.30966,      +73.57087,  3888938.13,  -651524.30,  5119962.86,      52.581434,       -2.478772,   97612.65,  167254.53,   11509.96,            11486.45,  -223.58,  56073.39,           57396.52,    -14.16,     -7.63,          19.83,  +1.78,  +0.66
  6,     UK0027,       1,  0.241860, 2459442.578566444572, 179.72812,  73.17943,              356.79609,  34.71043,       356.67023,       34.80878,    179.72812,     +73.17943,     180.12658,      +73.26428,  3888406.93,  -652188.42,  5118616.52,      52.577103,       -2.489734,   96290.84,  166114.96,   13102.40,            13078.88, -1014.83,  39502.72,           55393.12,   -363.60,   -197.46,         513.72,  +6.32,  +5.22
  0,     UK003G,       1, -2.070600, 2459442.578539680224, 215.78359,  70.78800,              343.34684,  36.24343,       344.29321,       35.50667,    215.78359,     +70.78800,     212.63243,      +70.56484,  3893039.35,  -646396.85,  5130357.54,      52.614777,       -2.386019,  107841.09,  182527.33,       0.00,              808.27, 123452.38,     -0.00,           55885.40,   3251.94,    948.76,        3828.28,  +4.35,  +3.04
  1,     UK003G,       1, -2.030348, 2459442.578540145885, 215.83179,  70.32786,              343.02121,  35.86569,       343.91040,       35.17680,    215.83179,     +70.32786,     212.93314,      +70.12200,  3892426.25,  -647163.36,  5128803.62,      52.609803,       -2.398625,  106315.43,  181379.56,    1837.96,             1029.69, 121293.66,  45661.23,           55885.40,   3034.92,    890.42,        3596.97,  +0.92,  -0.37
  2,     UK003G,       1, -1.990072, 2459442.578540612012, 216.26301,  69.67519,              342.43335,  35.39726,       343.35320,       34.68823,    216.26301,     +69.67519,     213.35048,      +69.46884,  3891535.56,  -648276.92,  5126546.14,      52.602570,       -2.416868,  104099.27,  179731.48,    4508.08,             3699.81, 121582.23,  66295.75,           55885.40,   3113.80,    911.47,        3723.64,  +0.55,  -0.72
  3,     UK003G,       1, -1.949812, 2459442.578541078139, 216.44350,  69.14171,              342.01419,  34.98339,       342.91111,       34.29528,    216.44350,     +69.14171,     213.66822,      +68.94495,  3890834.25,  -649153.71,  5124768.66,      52.596870,       -2.431273,  102354.54,  178451.95,    6610.47,             5802.20, 121304.01,  52220.18,           55885.40,   3015.24,    884.78,        3632.31,  +1.49,  +0.23

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.