Orbital Analysis for matched events on 20210810_011803.192_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.29° Bg 37.78° Vg 61.41km/s
mass 0.01843g, abs. mag -0.3
Path Details
------------
start -2.08° 49.62° 108.81km
end   -2.19° 49.56° 96.28km

Orbit Details
-------------
Semimajor axis -8.12A.U., eccentricity 1.12, inclination 115.22°, Period 1000000000.00Y, LA Sun 137.36°, 

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: 2459436.554203614127
Time: 2021-08-10 01:18:03.192261 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0038
 Convergence angle = 15.00252 deg
 R.A. =  45.78896  Dec = +56.62879 deg
Intersection 2 - Stations: UK000H and UK003C
 Convergence angle = 61.85731 deg
 R.A. =  47.52288  Dec = +56.82393 deg
Intersection 3 - Stations: UK0038 and UK003C
 Convergence angle = 46.85736 deg
 R.A. =  47.71149  Dec = +57.15275 deg

Best intersection: Stations UK000H and UK003C with Qconv = 61.86 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3851925.13 +/- 103.42 m
 Y =  -1700210.01 +/- 59.52 m
 Z =   4918623.03 +/- 25.12 m
 Vx =    23638.28 +/- 562.85 m/s
 Vy =    24284.82 +/- 423.87 m/s
 Vz =    52402.53 +/- 332.19 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):
    UK000H: 0.000000 s
    UK0025: 0.000000 s
    UK0038: 0.000025 s
    UK003C: -0.000608 s

Reference point on the trajectory:
  Time: 2021-08-10 01:18:03.192261 UTC
  Lon     = +-2.076216 +/- 0.0005 deg
  Lat     = +49.622454 +/- 0.0008 deg
  Lat geo = +49.435622 +/- 0.0008 deg
  Ht      =  108815.76 +/- 74.61 m

  JD dynamic   = 2459436.555004355032 
  LST apparent = 336.1837070274 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.77294 +/- 0.9037 deg
  Dec       = +57.10839 +/- 0.2433 deg
  Azimuth   =  51.85626 +/- 0.5374 deg
  Elevation = +49.67325 +/- 0.4320 deg
  Vavg      =  60.37060 +/- 0.1179 km/s
  Vinit     =  62.40630 +/- 0.2222 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.95245 +/- 0.9037 deg
  Dec       = +56.88698 +/- 0.2433 deg
  Azimuth   =  52.12370 +/- 0.5374 deg
  Elevation = +49.50435 +/- 0.4320 deg
  Vavg      =  60.52743 +/- 0.1179 km/s
  Vinit     =  62.56312 +/- 0.2222 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.94743 +/- 0.9098 deg
  Dec    = +56.90764 +/- 0.2434 deg
  Vg     =  61.41191 +/- 0.2259 km/s
  Vinf   =  62.40630 +/- 0.2222 km/s
  Zc     =  40.44237 +/- 0.4330 deg
  Zg     =  40.78136 +/- 0.4381 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.29443 +/- 0.6526 deg
  Bg     = +37.77691 +/- 0.2117 deg
  Vh     =  43.12132 +/- 0.2219 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  80.12061 +/- 1.5051 deg
  Bh     = +60.74502 +/- 0.3366 deg
  Vh_x   =  -3.61564 +/- 0.5106 km/s
  Vh_y   = -20.76077 +/- 0.2824 km/s
  Vh_z   = -37.62134 +/- 0.2515 km/s
Orbit:
  La Sun = 137.361141 +/- 0.0000 deg
  a      =  -8.120835 +/- 5.3634 AU
  e      =   1.116560 +/- 0.0203
  i      = 115.222662 +/- 0.3190 deg
  peri   = 150.969468 +/- 1.5304 deg
  node   = 137.360576 +/- 0.0000 deg
  Pi     = 288.330044 +/- 1.5304 deg
  q      =   0.946569 +/- 0.0064 AU
  f      =  29.026650 +/- 1.5304 deg
  M      =        nan +/- nan deg
  Q      = -17.188238 +/- 10.7232 AU
  n      =   0.042590 +/- 0.0088 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.169653 +/- 0.1138
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 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 4.185e-06 s
  Stddev    = 2.05e-03 s

Begin point on the trajectory:
  Lon =    -2.076311 +/- 0.0004 deg
  Lat =    49.622405 +/- 0.0008 deg
  Ht  = 108805.35 +/- 68.11 m
End point on the trajectory:
  Lon =    -2.191487 +/- 0.0003 deg
  Lat =    49.564126 +/- 0.0005 deg
  Ht  = 96275.56 +/- 38.75 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   108805.35,    96275.56,          0.015178,     46.90,      1.55,              84.00, 0.9891,    True,    True, {"ff_name": "FF_UK000H_20210810_011757_906_0448768.fits"}
    UK0025,    True,    -2.949750,    50.877380,   82.00, 10960.294644,   1.057511,   133683.35,   119598.90,          6.704125,       nan,       nan,              71.28, 0.0000,    True,    True, {"ff_name": "FF_UK0025_20210810_011758_524_0444160.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   105702.82,    96298.56,          0.020331,     77.33,     17.96,              85.07, 0.9926,    True,    True, {"ff_name": "FF_UK0038_20210810_011803_436_0445440.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,  35.533979,   0.000000,   106250.62,    96723.44,          0.019524,     39.81,     70.96,              47.95, 0.5514,    True,    True, {"ff_name": "FF_UK003C_20210810_011755_291_0436992.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,     UK000H,       0,  0.000000, 2459436.554203614127, 329.41544,  -1.63000,              188.87686,  37.16714,       188.91310,       37.18151,    329.41544,      -1.63000,     329.38810,       -1.61289,  3851919.96, -1700215.32,  4918611.56,      49.622405,       -2.076311,  108805.35,  177450.75,       0.00,               13.65,   726.19,      0.00,           57487.39,      3.26,    -99.82,         116.09,  +3.47,  +2.22
  1,     UK000H,       0,  0.040652, 2459436.554204084445, 328.98725,  -2.25556,              189.33077,  36.50194,       189.33633,       36.50414,    328.98725,      -2.25556,     328.98319,       -2.25292,  3851030.34, -1701129.27,  4916639.41,      49.614103,       -2.092748,  107014.97,  177223.09,    2348.64,             2362.29,   537.89,  57774.17,           57487.39,      0.51,    -15.40,          17.93,  +2.08,  +0.84
  2,     UK000H,       0,  0.081252, 2459436.554204554763, 328.62172,  -2.84756,              189.70410,  35.87503,       189.71887,       35.88086,    328.62172,      -2.84756,     328.61077,       -2.84049,  3850215.37, -1701966.53,  4914832.75,      49.606492,       -2.107824,  105375.12,  177041.89,    4500.19,             4513.85,   155.75,  52994.04,           57487.39,      1.36,    -41.10,          47.91,  +1.28,  +0.04
  3,     UK000H,       0,  0.121964, 2459436.554205025546, 328.16364,  -3.54367,              190.16929,  35.13318,       190.16829,       35.13279,    328.16364,      -3.54367,     328.16492,       -3.54415,  3849241.20, -1702967.35,  4912673.15,      49.597386,       -2.125816,  103415.30,  176859.26,    7072.07,             7085.72,   186.94,  63172.32,           57487.39,     -0.09,      2.80,           3.27,  +0.95,  -0.29
  4,     UK000H,       0,  0.162600, 2459436.554205495864, 327.76259,  -4.16551,              190.56719,  34.46981,       190.56089,       34.46733,    327.76259,      -4.16551,     327.76816,       -4.16858,  3848377.98, -1703854.17,  4910759.53,      49.589310,       -2.141781,  101679.04,  176728.88,    9351.00,             9364.66,   -70.07,  56081.77,           57625.96,     -0.59,     17.75,          20.73,  +0.56,  -0.68
  5,     UK000H,       0,  0.203324, 2459436.554205967579, 327.29576,  -4.87714,              191.02324,  33.70801,       191.00407,       33.70050,    327.29576,      -4.87714,     327.31159,       -4.88653,  3847386.52, -1704872.75,  4908561.61,      49.580027,       -2.160097,   99685.24,  176615.23,   11968.51,            11982.16,     6.00,  64274.23,           58617.09,     -1.83,     54.30,          63.45,  +0.43,  -0.81
  6,     UK000H,       0,  0.243960, 2459436.554206437897, 326.89986,  -5.50740,              191.39876,  33.03397,       191.38563,       33.02883,    326.89986,      -5.50740,     326.91120,       -5.51387,  3846520.71, -1705762.24,  4906642.24,      49.571913,       -2.176116,   97944.46,  176548.04,   14254.30,            14267.95,  -244.15,  56250.32,           58717.33,     -1.26,     37.40,          43.72,  +0.53,  -0.70
  7,     UK000H,       0,  0.284564, 2459436.554206907749, 326.51603,  -6.10994,              191.75770,  32.38770,       191.74647,       32.38332,    326.51603,      -6.10994,     326.52610,       -6.11551,  3845690.50, -1706615.16,  4904801.79,      49.564126,       -2.191487,   96275.56,  176511.62,   16446.09,            16459.75,  -586.30,  53979.84,           58364.92,     -1.09,     32.15,          37.59,  +0.98,  -0.25
  0,     UK0025,       1,  2.042926, 2459436.554227259010,   5.05034,   3.36744,              142.06765,  36.33429,       148.09854,       40.96725,      5.05034,      +3.36744,     358.97280,       +5.97834,  3864273.12, -1687524.28,  4945996.68,      49.736979,       -1.859305,  133683.35,  201089.14,       0.00,            32599.34, -94179.55,      0.00,           56472.70, -11053.69, -20313.10,       23772.12,  +5.93,  +4.41
  1,     UK0025,       1,  2.083258, 2459436.554227726068,   4.81542,   2.87879,              142.56938,  35.97416,       148.61111,       40.59468,      4.81542,      +2.87879,     358.72970,       +5.49786,  3863474.73, -1688344.51,  4944226.77,      49.729614,       -1.874030,  132071.35,  200129.16,    2107.79,            30491.55, -98804.32,  52261.01,           56472.70, -11017.20, -20264.79,       23824.48,  +4.03,  +2.52
  2,     UK0025,       1,  2.123670, 2459436.554228193592,   4.59481,   2.30282,              143.09122,  35.52589,       149.18945,       40.16595,      4.59481,      +2.30282,     358.45274,       +4.94855,  3862571.38, -1689272.56,  4942224.18,      49.721274,       -1.890673,  130247.88,  199065.14,    4492.67,            28106.67, -103711.16,  59014.11,           56472.70, -11078.65, -20351.45,       24062.38,  +3.25,  +1.76
  3,     UK0025,       1,  2.164038, 2459436.554228660651,   4.32860,   1.75676,              143.64539,  35.12029,       149.74918,       39.74315,      4.32860,      +1.75676,     358.18171,       +4.41023,  3861695.44, -1690172.47,  4940282.34,      49.713180,       -1.906819,  128480.01,  198055.36,    6805.22,            25794.12, -108542.93,  57286.77,           56472.70, -11029.91, -20286.29,       24101.12,  +2.76,  +1.28
  4,     UK0025,       1,  2.204422, 2459436.554229128174,   4.05610,   1.18570,              144.21256,  34.69136,       150.32526,       39.29953,      4.05610,      +1.18570,     357.89969,       +3.84893,  3860791.59, -1691101.03,  4938278.65,      49.704822,       -1.923477,  126656.21,  197036.75,    9191.42,            23407.92, -113449.34,  59087.62,           57161.90, -10989.94, -20233.11,       24156.86,  +2.37,  +0.90
  5,     UK0025,       1,  2.244798, 2459436.554229595698,   3.79042,   0.62504,              144.76171,  34.26711,       150.88326,       38.86179,      3.79042,      +0.62504,     357.62339,       +3.29839,  3859914.08, -1692002.54,  4936333.35,      49.696701,       -1.939659,  124885.87,  196070.55,   11508.08,            21091.26, -118285.72,  57377.27,           57389.55, -10954.46, -20186.05,       24214.66,  +2.04,  +0.58
  6,     UK0025,       1,  2.285210, 2459436.554230063222,   3.49543,   0.00838,              145.36250,  33.79871,       151.48965,       38.37645,      3.49543,      +0.00838,     357.31967,       +2.69183,  3858957.22, -1692985.58,  4934212.11,      49.687837,       -1.957292,  122955.87,  195043.50,   14034.26,            18565.08, -123333.86,  62510.71,           58020.05, -10910.27, -20126.83,       24264.83,  +2.17,  +0.72
  7,     UK0025,       1,  2.325602, 2459436.554230530746,   3.24217,  -0.56409,              145.89132,  33.35402,       152.03924,       37.92855,      3.24217,      -0.56409,     357.04098,       +2.13526,  3858087.97, -1693878.60,  4932285.13,      49.679778,       -1.973330,  121202.86,  194133.98,   16329.12,            16270.22, -128149.43,  56814.56,           58182.20, -10907.52, -20125.01,       24375.87,  +2.23,  +0.79
  8,     UK0025,       1,  2.365950, 2459436.554230997805,   2.99682,  -1.08846,              146.38585,  32.94938,       152.54106,       37.51287,      2.99682,      -1.08846,     356.78358,       +1.62137,  3857292.53, -1694695.80,  4930521.75,      49.672398,       -1.988023,  119598.90,  193321.52,   18429.13,            14170.21, -132767.41,  52047.42,           57849.24, -10881.36, -20090.70,       24432.94,  +3.26,  +1.83
  0,     UK0038,       1,  0.036877, 2459436.554204040673, 341.36524, -10.76522,              173.91283,  27.69157,       173.86091,       27.66137,    341.36524,     -10.76522,     341.41418,      -10.79223,  3851165.13, -1700990.80,  4916938.22,      49.615362,       -2.090268,  107286.20,  224180.49,       0.00,             2006.45,   417.60,      0.00,           59360.79,     48.62,    209.69,         198.05,  +4.57,  +2.82
  1,     UK0038,       0,  0.077221, 2459436.554204507731, 341.13747, -11.24927,              174.20018,  27.22329,       174.19155,       27.21828,    341.13747,     -11.24927,     341.14593,      -11.25378,  3850378.25, -1701799.20,  4915193.82,      49.608013,       -2.104828,  105702.82,  224036.08,    2077.40,             4083.85,   -22.72,  51492.19,           59360.79,      8.12,     34.91,          33.00,  +1.68,  -0.07
  2,     UK0038,       0,  0.117633, 2459436.554204975255, 340.76156, -11.85403,              174.65447,  26.64248,       174.62696,       26.62654,    340.76156,     -11.85403,     340.78811,      -11.86847,  3849331.05, -1702875.04,  4912872.33,      49.598226,       -2.124154,  103596.03,  223874.16,    4842.07,             6848.52,   219.99,  68412.12,           59360.79,     25.91,    111.55,         105.51,  +1.56,  -0.19
  3,     UK0038,       0,  0.157989, 2459436.554205442313, 340.48965, -12.35922,              174.98332,  26.15346,       174.97522,       26.14878,    340.48965,     -12.35922,     340.49800,      -12.36349,  3848488.19, -1703740.95,  4911003.85,      49.590342,       -2.139745,  101900.70,  223768.47,    7067.24,             9073.69,   -73.30,  55138.59,           59360.79,      7.65,     32.88,          31.12,  +1.00,  -0.75
  4,     UK0038,       0,  0.198373, 2459436.554205909837, 340.14982, -12.92306,              175.38501,  25.60825,       175.37057,       25.59991,    340.14982,     -12.92306,     340.16443,      -12.93071,  3847522.59, -1704732.96,  4908863.26,      49.581301,       -2.157585,   99958.85,  223674.82,    9616.48,            11622.93,   -44.29,  63124.86,           59993.58,     13.67,     58.80,          55.66,  +0.99,  -0.76
  5,     UK0038,       0,  0.238737, 2459436.554206376895, 339.83277, -13.45499,              175.75532,  25.09226,       175.73915,       25.08295,    339.83277,     -13.45499,     339.84927,      -13.46360,  3846615.42, -1705664.94,  4906852.20,      49.572800,       -2.174360,   98134.87,  223613.34,   12011.45,            14017.90,  -168.28,  59334.45,           60080.22,     15.33,     65.98,          62.48,  +1.04,  -0.71
  6,     UK0038,       0,  0.279097, 2459436.554206843954, 339.50204, -13.98494,              176.13552,  24.57747,       176.10730,       24.56124,    339.50204,     -13.98494,     339.53037,      -14.00003,  3845701.94, -1706603.41,  4904827.14,      49.564233,       -2.191255,   96298.56,  223577.47,   14423.11,            16429.56,  -275.34,  59753.61,           60076.19,     26.79,    115.43,         109.32,  +1.09,  -0.66
  0,     UK003C,       0,  0.065356, 2459436.554204377811,  34.34410,   8.76349,              107.36433,  25.04405,       107.36690,       25.04648,     34.34410,      +8.76349,      34.34101,       +8.76396,  3850650.50, -1701519.50,  4915797.36,      49.610556,       -2.099801,  106250.62,  242085.53,       0.00,             3365.10,    -0.98,      0.00,           63526.80,    -12.39,     -6.96,          12.11,  +2.60,  +0.68
  1,     UK003C,       0,  0.105584, 2459436.554204843007,  34.31201,   8.35902,              107.66698,  24.74533,       107.69067,       24.76775,     34.31201,      +8.35902,      34.28137,       +8.36343,  3849798.84, -1702394.45,  4913909.37,      49.602599,       -2.115548,  104537.10,  240610.69,    2248.41,             5613.51,  -263.05,  55891.73,           63526.80,   -113.79,    -63.82,         111.84,  +1.86,  -0.05
  2,     UK003C,       0,  0.145844, 2459436.554205309134,  34.23137,   7.84752,              108.08210,  24.39111,       108.10220,       24.41007,     34.23137,      +7.84752,      34.20565,       +7.85125,  3848724.95, -1703497.71,  4911528.72,      49.592557,       -2.135364,  102376.89,  238771.05,    5083.54,             8448.63,    59.60,  70420.38,           63526.80,    -95.76,    -53.73,          94.85,  +1.06,  -0.83
  3,     UK003C,       0,  0.186076, 2459436.554205774795,  34.15561,   7.39181,              108.45349,  24.07707,       108.46746,       24.09022,     34.15561,      +7.39181,      34.13810,       +7.39440,  3847780.71, -1704467.78,  4909435.47,      49.583719,       -2.152812,  100477.89,  237168.57,    7576.39,            10941.49,    41.73,  61962.02,           63526.80,    -66.12,    -37.11,          65.94,  +1.00,  -0.88
  4,     UK003C,       0,  0.226296, 2459436.554206240457,  34.07205,   6.93570,              108.83015,  23.76665,       108.83209,       23.76847,     34.07205,      +6.93570,      34.07046,       +6.93606,  3846846.00, -1705428.06,  4907363.35,      49.574962,       -2.170090,   98598.44,  235597.54,   10044.09,            13409.18,    -0.56,  61354.87,           63166.04,     -9.11,     -5.12,           9.15,  +0.96,  -0.90
  5,     UK003C,       0,  0.266544, 2459436.554206706118,  34.01758,   6.47027,              109.18631,  23.43045,       109.19895,       23.44228,     34.01758,      +6.47027,      34.00220,       +6.47261,  3845913.31, -1706386.26,  4905295.72,      49.566216,       -2.187334,   96723.44,  234045.44,   12506.43,            15871.52,   -49.95,  61179.25,           62779.02,    -59.00,    -33.13,          59.63,  +2.03,  +0.18

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.