Orbital Analysis for matched events on 20210816_022714.372_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.48° Bg 35.74° Vg 62.57km/s
mass 0.04916g, abs. mag -1.6
Path Details
------------
start 1.79° 51.65° 107.13km
end   1.72° 51.63° 96.08km

Orbit Details
-------------
Semimajor axis -13.16A.U., eccentricity 1.07, inclination 119.71°, Period 1000000000.00Y, LA Sun 143.17°, 

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: 2459442.602249676827
Time: 2021-08-16 02:27:14.372078 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 22.66658 deg
 R.A. =  51.99363  Dec = +53.74501 deg
Intersection 2 - Stations: UK002B and UK002F
 Convergence angle = 41.54778 deg
 R.A. =  47.66491  Dec = +54.53140 deg
Intersection 3 - Stations: UK002C and UK002F
 Convergence angle = 18.92970 deg
 R.A. =  44.50059  Dec = +57.13780 deg

Best intersection: Stations UK002B and UK002F with Qconv = 41.55 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4024936.29 +/- 36.09 m
 Y =    232850.68 +/- 155.61 m
 Z =   5063040.49 +/- 111.88 m
 Vx =    24530.01 +/- 844.84 m/s
 Vy =    26764.90 +/- 1174.81 m/s
 Vz =    52158.15 +/- 961.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.284130e+03, -1.817650e+03, +2.532754e+03, -2.802721e+03, -5.452233e+03, +6.703085e+03
-1.817650e+03, +1.446438e+03, -2.015499e+03, +2.230331e+03, +4.338742e+03, -5.334137e+03
+2.532754e+03, -2.015499e+03, +2.808441e+03, -3.107793e+03, -6.045701e+03, +7.432706e+03
-2.802721e+03, +2.230331e+03, -3.107793e+03, +3.439053e+03, +6.690112e+03, -8.224958e+03
-5.452233e+03, +4.338742e+03, -6.045701e+03, +6.690112e+03, +1.301451e+04, -1.600031e+04
+6.703085e+03, -5.334137e+03, +7.432706e+03, -8.224958e+03, -1.600031e+04, +1.967110e+04

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002B: 0.000294 s
    UK002C: 0.000000 s
    UK002F: -0.000366 s

Reference point on the trajectory:
  Time: 2021-08-16 02:27:14.372078 UTC
  Lon     = ++1.793333 +/- 0.0022 deg
  Lat     = +51.654218 +/- 0.0005 deg
  Lat geo = +51.469919 +/- 0.0005 deg
  Ht      =  107079.12 +/- 104.83 m

  JD dynamic   = 2459442.603050417732 
  LST apparent = 3.3109858731 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.49476 +/- 1.3742 deg
  Dec       = +55.15963 +/- 0.3262 deg
  Azimuth   =  64.73766 +/- 0.4371 deg
  Elevation = +63.87855 +/- 0.8360 deg
  Vavg      =  60.16135 +/- 0.9270 km/s
  Vinit     =  63.54962 +/- 0.9154 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.82561 +/- 1.3742 deg
  Dec       = +55.00783 +/- 0.3262 deg
  Azimuth   =  64.99216 +/- 0.4371 deg
  Elevation = +63.66349 +/- 0.8360 deg
  Vavg      =  60.27898 +/- 0.9270 km/s
  Vinit     =  63.66725 +/- 0.9154 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.44535 +/- 1.3703 deg
  Dec    = +55.04047 +/- 0.3291 deg
  Vg     =  62.57302 +/- 0.9295 km/s
  Vinf   =  63.54962 +/- 0.9154 km/s
  Zc     =  26.20060 +/- 0.8352 deg
  Zg     =  26.40709 +/- 0.8361 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.48420 +/- 0.8112 deg
  Bg     = +35.73601 +/- 0.5501 deg
  Vh     =  42.65566 +/- 0.6826 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  71.75934 +/- 1.3936 deg
  Bh     = +58.95543 +/- 1.3347 deg
  Vh_x   =  -6.88549 +/- 0.1937 km/s
  Vh_y   = -20.89235 +/- 1.3074 km/s
  Vh_z   = -36.54594 +/- 0.1153 km/s
Orbit:
  La Sun = 143.168474 +/- nan deg
  a      = -13.159016 +/- 19.5059 AU
  e      =   1.074949 +/- 0.0647
  i      = 119.705213 +/- 1.1300 deg
  peri   = 161.742371 +/- 1.5011 deg
  node   = 143.168239 +/- 0.0001 deg
  Pi     = 304.910610 +/- 1.5011 deg
  q      =   0.986251 +/- 0.0048 AU
  f      =  18.253966 +/- 1.5010 deg
  M      =        nan +/- nan deg
  Q      = -27.304283 +/- 39.0097 AU
  n      =   0.020648 +/- 0.0290 deg/day
  T      = 1000000000.000000 +/- 339934542.6769 years
  Last perihelion JD = NaN 
  Tj     =  -1.016967 +/- 0.3727
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.227836e-04, +8.568628e-07, +9.496236e-04, +2.845793e-09, +1.501215e-05, -3.946394e-05
q   , +8.568628e-07, +5.979737e-09, +6.627081e-06, +1.985977e-11, +1.047644e-07, -2.754046e-07
Tp  , +9.496236e-04, +6.627081e-06, +7.344504e-03, +2.200971e-08, +1.161058e-04, -3.052189e-04
node, +2.845793e-09, +1.985977e-11, +2.200971e-08, +6.595780e-14, +3.479411e-10, -9.146676e-10
peri, +1.501215e-05, +1.047644e-07, +1.161058e-04, +3.479411e-10, +1.835461e-06, -4.825061e-06
i   , -3.946394e-05, -2.754046e-07, -3.052189e-04, -9.146676e-10, -4.825061e-06, +1.268412e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000426
 a2 = 67.707862

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 2.009e-06 s
  Stddev    = 1.42e-03 s

Begin point on the trajectory:
  Lon =     1.793658 +/- 0.0021 deg
  Lat =    51.654313 +/- 0.0004 deg
  Ht  = 107130.68 +/- 62.20 m
End point on the trajectory:
  Lon =     1.723064 +/- 0.0020 deg
  Lat =    51.633810 +/- 0.0004 deg
  Ht  = 96078.64 +/- 51.22 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
    UK000F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108212.66,    99999.00,          0.095338,       nan,       nan,              42.31, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_022709_026_0570368.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.066233,  43.996784,   106861.89,    96183.16,          0.009051,     32.35,     25.38,              39.29, 0.4009,    True,    True, {"ff_name": "FF_UK002B_20210816_022709_198_0577792.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   107130.68,    96078.64,          0.018068,     44.02,     73.84,              41.91, 0.4461,    True,    True, {"ff_name": "FF_UK002C_20210816_022712_603_0571904.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105305.55,    96584.11,          0.020206,     16.92,     81.12,              42.31, 0.4531,    True,    True, {"ff_name": "FF_UK002F_20210816_022709_143_0568320.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,     UK000F,       1, -0.017826, 2459442.602249470539,  69.99644,  16.57469,               95.36578,  25.39549,        95.48890,       25.43793,     69.99644,     +16.57469,      69.87895,      +16.53596,  4025423.60,   233382.38,  5064076.65,      51.656314,       +1.800550,  108212.66,  243102.34,       0.00,             1262.46,  2792.10,     -0.00,           59102.58,   -494.13,    104.21,         428.48,  +2.30,  +0.37
  1,     UK000F,       1,  0.022574, 2459442.602249938063,  70.08121,  16.12982,               95.61156,  25.00171,        95.66649,       25.02069,     70.08121,     +16.12982,      70.02884,      +16.11258,  4024341.70,   232201.91,  5061776.21,      51.651659,       +1.784521,  105696.07,  241025.12,    2802.86,             1540.41,   502.64,  69377.78,           59102.58,   -219.33,     45.90,         191.76,  +1.49,  -0.42
  2,     UK000F,       1,  0.062870, 2459442.602250404656,  70.24629,  15.82339,               95.69278,  24.66459,        95.80148,       24.70205,     70.24629,     +15.82339,      70.14269,      +15.78918,  4023527.37,   231313.40,  5060044.71,      51.648151,       +1.772409,  103802.02,  239468.88,    4912.53,             3650.07,    51.51,  52354.15,           59102.58,   -432.01,     90.94,         380.26,  +0.64,  -1.26
  3,     UK000F,       1,  0.103214, 2459442.602250871249,  70.34491,  15.45149,               95.87301,  24.31757,        95.95186,       24.34476,     70.34491,     +15.45149,      70.26992,      +15.42670,  4022627.35,   230331.38,  5058130.99,      51.644270,       +1.759033,  101708.79,  237760.00,    7244.20,             5981.74,  -180.66,  57794.83,           59102.58,   -311.97,     65.45,         276.54,  +0.50,  -1.38
  4,     UK000F,       1,  0.143486, 2459442.602251337375,  70.47872,  15.16123,               95.96643,  24.01155,        96.07575,       24.04919,     70.47872,     +15.16123,      70.37470,      +15.12679,  4021892.15,   229529.20,  5056567.74,      51.641097,       +1.748072,   99999.00,  236370.11,    9148.87,             7886.41,  -835.26,  47295.12,           56389.41,   -430.76,     90.66,         384.13,  +2.71,  +0.84
  0,     UK002B,       0,  0.005002, 2459442.602249731310,  93.37433,  32.56799,               65.87400,  22.78665,        65.86003,       22.78609,     93.37433,     +32.56799,      93.38596,      +32.57639,  4024842.90,   232748.78,  5062841.92,      51.653816,       +1.791944,  106861.89,  264073.02,       0.00,              241.94,   320.92,      0.00,           60474.95,     36.70,    -46.75,          46.42,  +3.21,  +1.10
  1,     UK002B,       0,  0.045278, 2459442.602250197437,  93.63796,  32.31163,               65.88777,  22.44746,        65.87513,       22.44694,     93.63796,     +32.31163,      93.64867,      +32.31923,  4023887.72,   231706.57,  5060810.91,      51.649703,       +1.777769,  104640.14,  262144.92,    2474.59,             2716.53,   235.99,  61440.86,           60474.95,     33.04,    -42.09,          42.10,  +1.49,  -0.60
  2,     UK002B,       0,  0.085530, 2459442.602250663564,  93.87927,  32.08463,               65.89347,  22.14216,        65.88854,       22.14196,     93.87927,     +32.08463,      93.88374,      +32.08759,  4023040.26,   230781.91,  5059008.97,      51.646051,       +1.765168,  102669.10,  260440.96,    4670.08,             4912.02,  -126.52,  54543.66,           60474.95,     12.83,    -16.35,          16.46,  +1.20,  -0.88
  3,     UK002B,       0,  0.125842, 2459442.602251129691,  94.17581,  31.79510,               65.90661,  21.75876,        65.90554,       21.75872,     94.17581,     +31.79510,      94.17722,      +31.79574,  4021991.43,   229637.52,  5056778.83,      51.641525,       +1.749605,  100229.88,  258344.87,    7387.28,             7629.22,    28.87,  67404.26,           60474.95,      2.76,     -3.52,           3.58,  +1.20,  -0.86
  4,     UK002B,       0,  0.166126, 2459442.602251596283,  94.43902,  31.53015,               65.92253,  21.41211,        65.92073,       21.41203,     94.43902,     +31.53015,      94.44122,      +31.53123,  4021056.77,   228617.70,  5054791.46,      51.637488,       +1.735710,   98056.36,  256485.75,    9808.70,            10050.64,  -109.74,  60108.71,           60897.52,      4.65,     -5.93,           6.06,  +1.11,  -0.94
  5,     UK002B,       0,  0.206370, 2459442.602252061944,  94.68125,  31.30814,               65.92009,  21.10877,        65.93379,       21.10932,     94.68125,     +31.30814,      94.67064,      +31.29992,  4020251.21,   227738.74,  5053078.59,      51.634005,       +1.723706,   96183.16,  254889.68,   11895.66,            12137.60,  -580.27,  51857.66,           59728.04,    -35.11,     44.79,          46.06,  +2.90,  +0.87
  0,     UK002C,       0,  0.000000, 2459442.602249676827,  82.50475,  22.37694,               80.88981,  21.70416,        80.92081,       21.71048,     82.50475,     +22.37694,      82.47698,      +22.36245,  4024958.46,   232874.87,  5063087.63,      51.654313,       +1.793658,  107130.68,  275603.57,       0.00,               57.43,   454.26,      0.00,           62225.43,   -121.81,     72.65,         106.15,  +2.54,  +0.34
  1,     UK002C,       0,  0.040252, 2459442.602250142489,  82.64383,  22.11335,               80.97546,  21.42184,        80.98836,       21.42447,     82.64383,     +22.11335,      82.63242,      +22.10732,  4024145.02,   231987.31,  5061358.00,      51.650812,       +1.781563,  105238.59,  274026.11,    2107.38,             2049.95,  -111.22,  52354.64,           62225.43,    -50.53,     30.11,          44.28,  +1.44,  -0.75
  2,     UK002C,       0,  0.080572, 2459442.602250609547,  82.84407,  21.79393,               81.05458,  21.05978,        81.07323,       21.06359,     82.84407,     +21.79393,      82.82769,      +21.78522,  4023132.55,   230882.60,  5059205.19,      51.646449,       +1.766542,  102883.73,  272075.42,    4730.37,             4672.94,   -50.55,  65054.45,           62225.43,    -72.64,     43.30,          64.11,  +1.43,  -0.74
  3,     UK002C,       0,  0.120916, 2459442.602251076140,  83.04676,  21.44801,               81.14946,  20.67598,        81.16326,       20.67879,     83.04676,     +21.44801,      83.03488,      +21.44156,  4022068.97,   229722.12,  5056943.71,      51.641860,       +1.750763,  100410.21,  270039.20,    7485.77,             7428.34,   141.00,  68297.53,           62225.43,    -53.47,     31.86,          47.54,  +1.16,  -1.00
  4,     UK002C,       0,  0.161220, 2459442.602251542732,  83.23335,  21.14332,               81.22589,  20.33256,        81.24304,       20.33606,     83.23335,     +21.14332,      83.21862,      +21.13530,  4021134.73,   228702.77,  5054957.23,      51.637825,       +1.736875,   98237.65,  268259.94,    9906.09,             9848.66,     0.02,  60051.66,           62492.49,    -66.18,     39.44,          59.24,  +1.10,  -1.04
  5,     UK002C,       0,  0.201524, 2459442.602252009325,  83.41443,  20.83314,               81.30924,  19.98808,        81.32303,       19.99089,     83.41443,     +20.83314,      83.40287,      +20.82670,  4020206.25,   227689.69,  5052983.00,      51.633810,       +1.723064,   96078.64,  266501.68,   12311.50,            12254.07,  -155.87,  59681.63,           62167.28,    -52.97,     31.57,          47.73,  +2.48,  +0.35
  0,     UK002F,       0,  0.035041, 2459442.602250086609,  70.06543,  16.05075,               95.68019,  24.95060,        95.69428,       24.95548,     70.06543,     +16.05075,      70.05211,      +16.04633,  4024173.80,   232018.72,  5061419.21,      51.650936,       +1.782005,  105305.55,  240702.38,       0.00,             1975.37,   145.36,      0.00,           62509.59,    -56.27,     11.72,          49.25,  +1.04,  -0.87
  1,     UK002F,       0,  0.075281, 2459442.602250552271,  70.16684,  15.67005,               95.86519,  24.59531,        95.84888,       24.58966,     70.16684,     +15.67005,      70.18276,      +15.67515,  4023242.83,   231002.93,  5059439.69,      51.646924,       +1.768181,  103140.24,  238927.47,    2411.85,             4387.22,    -0.03,  59936.62,           62509.59,     64.79,    -13.45,          57.12,  +0.90,  -0.99
  2,     UK002F,       0,  0.115561, 2459442.602251018398,  70.31654,  15.27705,               96.01798,  24.20047,        96.01297,       24.19874,     70.31654,     +15.27705,      70.32182,      +15.27862,  4022263.57,   229934.46,  5057357.49,      51.642700,       +1.753640,  100862.78,  237073.26,    4948.80,             6924.18,   -22.85,  62982.99,           62509.59,     19.82,     -4.12,          17.61,  +0.34,  -1.53
  3,     UK002F,       0,  0.155849, 2459442.602251484990,  70.46590,  14.86645,               96.18180,  23.79183,        96.18250,       23.79207,     70.46590,     +14.86645,      70.46588,      +14.86623,  4021261.35,   228840.92,  5055226.46,      51.638372,       +1.738755,   98532.09,  235189.10,    7545.26,             9520.64,    13.32,  64447.48,           62509.59,     -2.76,      0.57,           2.47,  +0.36,  -1.50
  4,     UK002F,       0,  0.196113, 2459442.602251951117,  70.62551,  14.52924,               96.28501,  23.43321,        96.32554,       23.44719,     70.62551,     +14.52924,      70.58747,      +14.51649,  4020423.64,   227926.88,  5053445.23,      51.634751,       +1.726280,   96584.11,  233623.06,    9715.51,            11690.89,  -375.19,  53900.50,           60997.65,   -158.56,     33.11,         143.01,  +1.97,  +0.13

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.