Orbital Analysis for matched events on 20210813_224408.572_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.10° Bg 38.42° Vg 60.82km/s
mass 0.07367g, abs. mag -1.3
Path Details
------------
start 1.89° 52.84° 110.08km
end   1.75° 52.74° 98.89km

Orbit Details
-------------
Semimajor axis -11.80A.U., eccentricity 1.08, inclination 114.25°, Period 1000000000.00Y, LA Sun 141.10°, 

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: 2459440.447321446612
Time: 2021-08-13 22:44:08.596805 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 44.61254 deg
 R.A. =  48.13567  Dec = +58.30800 deg

Best intersection: Stations UK002F and UK002K with Qconv = 44.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2281307.87 +/- 116.10 m
 Y =  -3196666.87 +/- 53.96 m
 Z =   5148042.71 +/- 131.18 m
 Vx =    21016.52 +/- 617.28 m/s
 Vy =    24334.77 +/- 459.06 m/s
 Vz =    52801.32 +/- 850.07 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: -0.001948 s

Reference point on the trajectory:
  Time: 2021-08-13 22:44:08.596805 UTC
  Lon     = ++1.894038 +/- 0.0018 deg
  Lat     = +52.843824 +/- 0.0006 deg
  Lat geo = +52.661561 +/- 0.0006 deg
  Ht      =  110342.70 +/- 117.04 m

  JD dynamic   = 2459440.448122463189 
  LST apparent = 305.5136299467 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.18475 +/- 0.5260 deg
  Dec       = +58.66023 +/- 0.1743 deg
  Azimuth   =  39.46480 +/- 0.3830 deg
  Elevation = +37.33414 +/- 0.1203 deg
  Vavg      =  59.49628 +/- 0.3649 km/s
  Vinit     =  61.82115 +/- 0.8799 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.06517 +/- 0.5260 deg
  Dec       = +58.44042 +/- 0.1743 deg
  Azimuth   =  39.72155 +/- 0.3830 deg
  Elevation = +37.23180 +/- 0.1203 deg
  Vavg      =  59.64150 +/- 0.3649 km/s
  Vinit     =  61.96637 +/- 0.8799 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.41580 +/- 0.5413 deg
  Dec    = +58.26726 +/- 0.1663 deg
  Vg     =  60.81725 +/- 0.8938 km/s
  Vinf   =  61.82115 +/- 0.8799 km/s
  Zc     =  52.80665 +/- 0.1208 deg
  Zg     =  53.27236 +/- 0.1303 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.10332 +/- 0.4072 deg
  Bg     = +38.42285 +/- 0.0885 deg
  Vh     =  42.73796 +/- 0.7434 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.53179 +/- 1.4537 deg
  Bh     = +62.17296 +/- 0.4076 deg
  Vh_x   =  -2.59306 +/- 0.6228 km/s
  Vh_y   = -19.78102 +/- 0.5244 km/s
  Vh_z   = -37.79578 +/- 0.5151 km/s
Orbit:
  La Sun = 141.098221 +/- 0.0000 deg
  a      = -11.804734 +/- 2.5039 AU
  e      =   1.080924 +/- 0.0718
  i      = 114.245529 +/- 0.6654 deg
  peri   = 152.897184 +/- 1.5010 deg
  node   = 141.096817 +/- 0.0001 deg
  Pi     = 293.994002 +/- 1.5009 deg
  q      =   0.955292 +/- 0.0046 AU
  f      =  27.098723 +/- 1.5010 deg
  M      =        nan +/- nan deg
  Q      = -24.564760 +/- 5.0034 AU
  n      =   0.024301 +/- 0.0479 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.948456 +/- 0.4060
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.902801
 a2 = 20.281129

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 9.920e-06 s
  Stddev    = 3.15e-03 s

Begin point on the trajectory:
  Lon =     1.890860 +/- 0.0009 deg
  Lat =    52.841486 +/- 0.0003 deg
  Ht  = 110081.28 +/- 40.09 m
End point on the trajectory:
  Lon =     1.753371 +/- 0.0008 deg
  Lat =    52.741044 +/- 0.0003 deg
  Ht  = 98893.10 +/- 33.93 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   109377.66,   100397.05,          0.018586,     51.30,     68.79,              24.28, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_224358_625_0191232.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   4.327162,  15.715320,   110081.28,    98893.10,          0.008581,     29.42,      5.01,              61.28, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_224359_905_0225792.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,     UK002F,       1,  0.000000, 2459440.447321446612,  38.58473,  34.78319,               62.62552,  23.16873,        62.61229,       23.15137,     38.58473,     +34.78319,      38.60987,      +34.77836,  2281322.93, -3196649.44,  5148080.54,      52.844064,       +1.894464,  110369.57,  268573.02,       0.00,               44.30,   930.39,      0.00,           54466.41,     79.69,     59.38,          76.32,  +6.22,  +4.07
  1,     UK002F,       0,  0.040056, 2459440.447321910411,  38.52960,  34.64356,               62.76354,  23.09497,        62.74260,       23.06749,     38.52960,     +34.64356,      38.56949,      +34.63593,  2280766.85, -3197293.32,  5146683.46,      52.835193,       +1.882237,  109377.66,  267080.65,    1635.74,             1591.44,     1.22,  40836.30,           54466.41,    125.39,     93.54,         120.82,  +3.34,  +1.21
  2,     UK002F,       0,  0.080164, 2459440.447322374210,  38.49977,  34.43560,               62.93410,  22.95638,        62.92764,       22.94792,     38.49977,     +34.43560,      38.51231,      +34.43326,  2279988.43, -3198194.64,  5144727.79,      52.822768,       +1.865190,  107989.57,  264998.33,    3925.49,             3881.19,  -188.54,  57089.74,           54466.41,     38.34,     28.54,          37.20,  +2.69,  +0.57
  3,     UK002F,       0,  0.120256, 2459440.447322838474,  38.40883,  34.20722,               63.16007,  22.83609,        63.14015,       22.81005,     38.40883,     +34.20722,      38.44686,      +34.20001,  2279108.22, -3199213.82,  5142516.37,      52.808710,       +1.845938,  106420.58,  262649.21,    6514.68,             6470.38,   -77.89,  64581.09,           54466.41,    117.08,     87.32,         114.70,  +1.74,  -0.36
  4,     UK002F,       0,  0.160380, 2459440.447323302738,  38.36652,  33.96257,               63.36501,  22.67684,        63.35822,       22.66799,     38.36652,     +33.96257,      38.37993,      +33.96013,  2278219.30, -3200243.09,  5140283.06,      52.794502,       +1.826500,  104836.70,  260281.67,    9129.49,             9085.19,    56.41,  65168.30,           57707.60,     39.53,     29.43,          39.06,  +1.60,  -0.48
  5,     UK002F,       0,  0.200488, 2459440.447323767003,  38.31544,  33.73964,               63.55991,  22.53854,        63.55865,       22.53691,     38.31544,     +33.73964,      38.31863,      +33.73919,  2277414.23, -3201175.28,  5138260.42,      52.781626,       +1.808883,  103402.78,  258140.76,   11497.65,            11453.35,   -54.96,  59044.53,           58824.16,      7.24,      5.39,           7.21,  +1.38,  -0.68
  6,     UK002F,       0,  0.240596, 2459440.447324231267,  38.25413,  33.49892,               63.77426,  22.39254,        63.77569,       22.39439,     38.25413,     +33.49892,      38.25247,      +33.49942,  2276555.87, -3202169.16,  5136103.90,      52.767888,       +1.790114,  101874.55,  255863.31,   14022.56,            13978.26,    -9.57,  62952.76,           59665.26,     -8.15,     -6.06,           8.19,  +1.42,  -0.62
  7,     UK002F,       0,  0.280696, 2459440.447324695531,  38.17891,  33.26491,               63.99295,  22.25920,        63.98883,       22.25387,     38.17891,     +33.26491,      38.18773,      +33.26345,  2275725.68, -3203130.42,  5134018.17,      52.754592,       +1.771958,  100397.05,  253664.86,   16464.59,            16420.29,   -46.57,  60898.58,           60118.42,     23.29,     17.33,          23.60,  +1.50,  -0.52
  0,     UK002K,       0,  0.009875, 2459440.447321722284, 354.41081,  11.65584,              116.09869,  31.82967,       116.10271,       31.83602,    354.41081,     +11.65584,     354.40446,      +11.65931,  2281161.32, -3196836.56,  5147674.53,      52.841486,       +1.890860,  110081.28,  204228.77,       0.00,              431.07,   706.66,      0.00,           59125.69,     -4.31,    -25.33,          25.95,  +3.26,  +1.71
  1,     UK002K,       0,  0.050039, 2459440.447322187014, 354.19940,  11.31040,              116.52398,  31.65235,       116.52027,       31.64654,    354.19940,     +11.31040,     354.20558,      +11.30723,  2280612.81, -3197471.67,  5146296.46,      52.832735,       +1.878797,  109102.93,  203472.82,    1613.48,             2044.55,  -162.85,  40172.25,           59125.69,      3.93,     23.14,          23.79,  +1.47,  -0.07
  2,     UK002K,       0,  0.090343, 2459440.447322653607, 353.86601,  10.70163,              117.23247,  31.31670,       117.23249,       31.31673,    353.86601,     +10.70163,     353.86641,      +10.70164,  2279679.65, -3198552.17,  5143952.01,      52.817838,       +1.858394,  107439.10,  202215.93,    4358.41,             4789.49,    90.45,  68105.78,           59125.69,     -0.02,     -0.12,           0.12,  +1.05,  -0.48
  3,     UK002K,       0,  0.130639, 2459440.447323120199, 353.53723,  10.10565,              117.92455,  30.98660,       117.92640,       30.98944,    353.53723,     +10.10565,     353.53493,      +10.10720,  2278775.20, -3199599.42,  5141679.70,      52.803388,       +1.838617,  105827.14,  201025.86,    7018.89,             7449.97,   259.78,  66023.47,           59125.69,     -1.91,    -11.25,          11.71,  +0.92,  -0.60
  4,     UK002K,       0,  0.170891, 2459440.447323585860, 353.26106,   9.59988,              118.50611,  30.70281,       118.51060,       30.70963,    353.26106,      +9.59988,     353.25484,       +9.60362,  2278017.48, -3200476.77,  5139776.03,      52.791275,       +1.822024,  104477.20,  200049.39,    9247.77,             9678.84,     0.23,  55373.00,           59364.47,     -4.59,    -26.97,          28.21,  +0.73,  -0.78
  5,     UK002K,       0,  0.211147, 2459440.447324051987, 352.97509,   9.07871,              119.10384,  30.40904,       119.10987,       30.41812,    352.97509,      +9.07871,     352.96672,       +9.08369,  2277243.13, -3201373.38,  5137830.58,      52.778888,       +1.805072,  103098.12,  199072.64,   11525.55,            11956.62,  -210.66,  56582.40,           59035.31,     -6.10,    -35.84,          37.67,  +0.82,  -0.68
  6,     UK002K,       0,  0.251431, 2459440.447324518114, 352.66715,   8.50332,              119.75277,  30.07829,       119.76378,       30.09468,    352.66715,      +8.50332,     352.65140,       +8.51234,  2276401.20, -3202348.25,  5135715.32,      52.765411,       +1.786659,  101599.23,  198035.76,   14002.15,            14433.22,  -224.46,  61478.46,           59179.66,    -11.00,    -64.58,          68.23,  +0.88,  -0.60
  7,     UK002K,       0,  0.291659, 2459440.447324983776, 352.37961,   8.01204,              120.32804,  29.80654,       120.33058,       29.81030,    352.37961,      +8.01204,     352.37701,       +8.01411,  2275674.30, -3203189.92,  5133889.08,      52.753769,       +1.770741,  100305.61,  197160.16,   16140.36,            16571.43,  -573.20,  53152.21,           58738.00,     -2.51,    -14.77,          15.68,  +0.80,  -0.67
  8,     UK002K,       0,  0.331923, 2459440.447325449903, 352.07648,   7.46336,              120.94988,  29.49154,       120.95148,       29.49389,    352.07648,      +7.46336,     352.07551,       +7.46465,  2274880.32, -3204109.26,  5131894.31,      52.741044,       +1.753371,   98893.10,  196226.82,   18475.89,            18906.96,  -726.83,  58005.53,           58483.02,     -1.56,     -9.20,           9.81,  +1.36,  -0.10

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.