Orbital Analysis for matched events on 20210816_222619.866_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 72.83° Bg 38.29° Vg 57.08km/s
mass 0.02524g, abs. mag -0.2
Path Details
------------
start -3.71° 50.54° 109.08km
end   -3.82° 50.41° 99.08km

Orbit Details
-------------
Semimajor axis 6.69A.U., eccentricity 0.87, inclination 110.16°, Period 17.29Y, LA Sun 143.97°, last Perihelion 2021-07-18

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: 2459443.434952160344
Time: 2021-08-16 22:26:19.866654 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0024
 Convergence angle = 22.01113 deg
 R.A. =  61.53466  Dec = +60.63636 deg
Intersection 2 - Stations: UK000H and UK003E
 Convergence angle = 11.81352 deg
 R.A. =  61.58083  Dec = +60.14543 deg
Intersection 3 - Stations: UK0024 and UK003E
 Convergence angle = 10.19853 deg
 R.A. =  61.04268  Dec = +61.15176 deg

Best intersection: Stations UK000H and UK0024 with Qconv = 22.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1964835.22 +/- 11.48 m
 Y =  -3633379.46 +/- 57.43 m
 Z =   4985776.14 +/- 31.43 m
 Vx =    13381.76 +/- 54.71 m/s
 Vy =    25183.56 +/- 255.26 m/s
 Vz =    50675.55 +/- 158.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.424664e+02, +4.909325e+02, -1.403686e+02, +5.065147e+02, +1.688393e+03, -7.682224e+02
+4.909325e+02, +3.598334e+03, -1.680799e+03, +1.241756e+03, +1.416467e+04, -6.164071e+03
-1.403686e+02, -1.680799e+03, +1.077054e+03, -4.583586e+01, -6.401435e+03, +2.961129e+03
+5.065147e+02, +1.241756e+03, -4.583586e+01, +2.580155e+03, +5.585456e+03, -1.926033e+03
+1.688393e+03, +1.416467e+04, -6.401435e+03, +5.585456e+03, +6.533577e+04, -2.634795e+04
-7.682224e+02, -6.164071e+03, +2.961129e+03, -1.926033e+03, -2.634795e+04, +1.244897e+04

Timing offsets (from input data):
    UK000H: -0.000032 s
    UK0024: 0.000000 s
    UK003E: -0.000085 s

Reference point on the trajectory:
  Time: 2021-08-16 22:26:19.866654 UTC
  Lon     = +-3.707964 +/- 0.0005 deg
  Lat     = +50.544668 +/- 0.0002 deg
  Lat geo = +50.358901 +/- 0.0002 deg
  Ht      =  109081.83 +/- 52.39 m

  JD dynamic   = 2459443.435752901249 
  LST apparent = 298.4033465753 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  62.01521 +/- 0.2144 deg
  Dec       = +60.63098 +/- 0.2428 deg
  Azimuth   =  28.14699 +/- 0.0977 deg
  Elevation = +30.02407 +/- 0.2500 deg
  Vavg      =  57.75491 +/- 0.0523 km/s
  Vinit     =  58.14890 +/- 0.0449 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  61.68314 +/- 0.2144 deg
  Dec       = +60.41562 +/- 0.2428 deg
  Azimuth   =  28.44839 +/- 0.0977 deg
  Elevation = +29.95382 +/- 0.2500 deg
  Vavg      =  57.87859 +/- 0.0523 km/s
  Vinit     =  58.27257 +/- 0.0449 km/s
Radiant (geocentric, J2000):
  R.A.   =  62.30933 +/- 0.2100 deg
  Dec    = +60.08705 +/- 0.2458 deg
  Vg     =  57.08038 +/- 0.0457 km/s
  Vinf   =  58.14890 +/- 0.0449 km/s
  Zc     =  60.13976 +/- 0.2499 deg
  Zg     =  60.75498 +/- 0.2525 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  72.82762 +/- 0.0691 deg
  Bg     = +38.28939 +/- 0.2612 deg
  Vh     =  40.24527 +/- 0.0929 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 101.41075 +/- 0.2201 deg
  Bh     = +61.50231 +/- 0.3435 deg
  Vh_x   =   3.79894 +/- 0.0489 km/s
  Vh_y   = -18.82241 +/- 0.1839 km/s
  Vh_z   = -35.36900 +/- 0.1912 km/s
Orbit:
  La Sun = 143.968782 +/- nan deg
  a      =   6.686148 +/- 0.4912 AU
  e      =   0.868696 +/- 0.0071
  i      = 110.162027 +/- 0.3252 deg
  peri   = 135.563934 +/- 0.5861 deg
  node   = 143.967433 +/- 0.0000 deg
  Pi     = 279.531367 +/- 0.5861 deg
  q      =   0.877918 +/- 0.0028 AU
  f      =  44.432092 +/- 0.5861 deg
  M      =   1.705665 +/- 0.1504 deg
  Q      =  12.494377 +/- 0.9797 AU
  n      =   0.057009 +/- 0.0046 deg/day
  T      =  17.288789 +/- 2.0393 years
  Last perihelion JD = 2459413.516308 (2021-07-18 00:23:29.012957) +/- 0.3745 days
  Tj     =   0.391324 +/- 0.0401
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.617358e-05, +2.043161e-05, +2.838083e-03, +2.897253e-09, +7.609882e-05, -3.948302e-05
q   , +2.043161e-05, +8.648838e-06, +1.145605e-03, +1.189243e-09, +3.143174e-05, -1.621260e-05
Tp  , +2.838083e-03, +1.145605e-03, +1.539409e-01, +1.589753e-07, +4.194155e-03, -2.167028e-03
node, +2.897253e-09, +1.189243e-09, +1.589753e-07, +1.877006e-13, +4.342141e-09, -2.560061e-09
peri, +7.609882e-05, +3.143174e-05, +4.194155e-03, +4.342141e-09, +1.146610e-04, -5.919183e-05
i   , -3.948302e-05, -1.621260e-05, -2.167028e-03, -2.560061e-09, -5.919183e-05, +3.491697e-05

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: UK0024
  Avg. res. = 8.780e-07 s
  Stddev    = 9.37e-04 s

Begin point on the trajectory:
  Lon =    -3.708031 +/- 0.0004 deg
  Lat =    50.544588 +/- 0.0001 deg
  Ht  = 109075.89 +/- 53.61 m
End point on the trajectory:
  Lon =    -3.822778 +/- 0.0004 deg
  Lat =    50.409248 +/- 0.0002 deg
  Ht  = 99081.81 +/- 28.36 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,   108401.88,    99081.81,          0.008808,      5.55,     27.26,              98.67, 0.9773,    True,    True, {"ff_name": "FF_UK000H_20210816_222611_270_0215296.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   109075.89,    99757.55,          0.008268,     10.17,     15.33,              87.54, 0.9982,    True,    True, {"ff_name": "FF_UK0024_20210816_222615_894_0210176.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107700.91,   100617.52,          0.016226,     22.19,     51.69,             110.07, 0.8822,    True,    True, {"ff_name": "FF_UK003E_20210816_222618_312_0214528.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,  0.029257, 2459443.434952501208, 244.35438,  19.89757,              256.07780,  36.58828,       256.08850,       36.58119,    244.35438,     +19.89757,     244.34254,      +19.89779,  1964522.45, -3633968.08,  4984591.71,      50.535497,       -3.715786,  108401.88,  179188.26,       0.00,             1359.11,  -111.19,      0.00,           59411.61,     34.12,     -6.96,          40.09,  +2.14,  +0.87
  1,     UK000H,       0,  0.069941, 2459443.434952971991, 244.33658,  19.10293,              255.45377,  35.97291,       255.46593,       35.96490,    244.33658,     +19.10293,     244.32332,      +19.10319,  1963941.96, -3635060.52,  4982393.44,      50.518468,       -3.730242,  107140.48,  179628.97,    2522.45,             3881.56,    45.53,  62001.12,           59411.61,     38.98,     -7.95,          45.68,  +1.79,  +0.52
  2,     UK000H,       0,  0.110565, 2459443.434953442309, 244.30862,  18.37868,              254.90406,  35.40203,       254.90694,       35.40014,    244.30862,     +18.37868,     244.30578,      +18.37874,  1963410.20, -3636061.26,  4980379.70,      50.502862,       -3.743494,  105985.59,  180063.65,    4833.17,             6192.28,    -5.99,  56880.57,           59411.61,      9.29,     -1.89,          10.86,  +1.51,  +0.23
  3,     UK000H,       0,  0.151221, 2459443.434953912627, 244.28552,  17.61553,              254.32775,  34.80156,       254.32633,       34.80248,    244.28552,     +17.61553,     244.28759,      +17.61551,  1962847.04, -3637121.09,  4978247.06,      50.486326,       -3.757515,  104763.18,  180554.68,    7280.32,             8639.43,    77.05,  60191.54,           59411.61,     -4.58,      0.93,           5.34,  +1.75,  +0.47
  4,     UK000H,       0,  0.191841, 2459443.434954382945, 244.25932,  16.89708,              253.79698,  34.23100,       253.78744,       34.23720,    244.25932,     +16.89708,     244.27048,      +16.89689,  1962313.93, -3638124.36,  4976228.24,      50.470665,       -3.770792,  103606.62,  181049.38,    9596.87,            10955.98,    31.59,  57029.79,           58929.27,    -31.06,      6.32,          36.11,  +1.71,  +0.42
  5,     UK000H,       0,  0.232449, 2459443.434954852797, 244.24879,  16.18506,              253.26436,  33.67253,       253.26070,       33.67490,    244.24879,     +16.18506,     244.25365,      +16.18499,  1961782.84, -3639123.83,  4974217.05,      50.455057,       -3.784015,  102455.05,  181570.40,   11904.66,            13263.76,   -21.93,  56830.87,           58491.91,    -11.98,      2.44,          13.89,  +1.30,  +0.00
  6,     UK000H,       0,  0.273081, 2459443.434955323115, 244.22400,  15.44871,              252.73334,  33.08419,       252.72290,       33.09092,    244.22400,     +15.44871,     244.23646,      +15.44850,  1961230.07, -3640164.11,  4972123.75,      50.438803,       -3.797767,  101257.09,  182141.91,   14306.66,            15665.77,    17.37,  59116.19,           58402.50,    -34.37,      6.99,          39.72,  +1.87,  +0.57
  7,     UK000H,       0,  0.313721, 2459443.434955793433, 244.20503,  14.69528,              252.19172,  32.48363,       252.18001,       32.49116,    244.20503,     +14.69528,     244.21906,      +14.69504,  1960660.83, -3641235.38,  4969968.09,      50.422058,       -3.811920,  100024.14,  182761.43,   16780.23,            18139.34,   127.77,  60865.35,           58570.50,    -38.83,      7.90,          44.73,  +2.00,  +0.69
  8,     UK000H,       0,  0.354209, 2459443.434956262354, 244.20739,  14.12218,              251.76957,  32.03529,       251.77261,       32.03335,    244.20739,     +14.12218,     244.20542,      +14.12224,  1960225.57, -3642054.52,  4968319.78,      50.409248,       -3.822778,   99081.81,  183258.55,   18671.62,            20030.73,  -335.18,  46714.70,           57861.59,     10.11,     -2.06,          11.61,  +3.05,  +1.73
  0,     UK0024,       0,  0.000000, 2459443.434952160344, 269.89192,  28.49795,              235.64690,  58.63671,       235.63468,       58.63942,    269.89192,     +28.49795,     269.89945,      +28.49637,  1964832.49, -3633384.60,  4985765.81,      50.544588,       -3.708031,  109075.89,  127247.65,       0.00,               11.86,   242.79,      0.00,           55881.86,    -12.78,      8.49,          24.87,  +2.86,  +2.34
  1,     UK0024,       0,  0.040552, 2459443.434952629730, 269.63769,  27.54481,              234.92898,  57.73359,       234.92335,       57.73484,    269.63769,     +27.54481,     269.64131,      +27.54407,  1964333.15, -3634324.34,  4983874.83,      50.529945,       -3.720492,  107990.45,  127195.80,    2169.85,             2181.71,    54.59,  53507.86,           55881.86,     -6.02,      4.00,          11.72,  +1.31,  +0.79
  2,     UK0024,       0,  0.081112, 2459443.434953099117, 269.37700,  26.59916,              234.26895,  56.82757,       234.25058,       56.83161,    269.37700,     +26.59916,     269.38901,      +26.59672,  1963836.90, -3635258.24,  4981995.58,      50.515385,       -3.732873,  106912.26,  127181.12,    4326.24,             4338.10,  -147.54,  53165.44,           55881.86,    -20.03,     13.29,          38.99,  +1.01,  +0.49
  3,     UK0024,       0,  0.121760, 2459443.434953569435, 269.09818,  25.49227,              233.50871,  55.77397,       233.50513,       55.77476,    269.09818,     +25.49227,     269.10091,      +25.49179,  1963258.24, -3636347.24,  4979804.24,      50.498400,       -3.747278,  105655.68,  127209.49,    6840.74,             6852.60,     3.32,  61860.41,           55881.86,     -4.01,      2.66,           7.79,  +0.82,  +0.30
  4,     UK0024,       0,  0.162368, 2459443.434954039287, 268.83258,  24.48011,              232.86906,  54.79941,       232.85708,       54.80203,    268.83258,     +24.48011,     268.84104,      +24.47848,  1962727.45, -3637346.15,  4977794.18,      50.482813,       -3.760501,  104503.67,  127279.81,    9147.24,             9159.10,   -51.49,  56799.04,           56573.51,    -13.67,      9.07,          26.59,  +0.94,  +0.42
  5,     UK0024,       0,  0.202988, 2459443.434954509605, 268.57821,  23.43578,              232.22125,  53.79852,       232.22225,       53.79830,    268.57821,     +23.43578,     268.57826,      +23.43591,  1962180.75, -3638374.99,  4975723.91,      50.466752,       -3.774111,  103317.79,  127395.86,   11522.82,            11534.68,   -37.92,  58483.07,           57043.97,      1.17,     -0.77,           2.27,  +1.03,  +0.50
  6,     UK0024,       0,  0.243668, 2459443.434954980388, 268.30904,  22.29461,              231.54282,  52.70351,       231.56254,       52.69923,    268.30904,     +22.29461,     268.29654,      +22.29737,  1961582.57, -3639500.73,  4973458.64,      50.449169,       -3.788983,  102020.96,  127573.10,   14122.16,            14134.02,   195.92,  63897.15,           57947.75,     23.55,    -15.63,          45.69,  +1.09,  +0.56
  7,     UK0024,       0,  0.284292, 2459443.434955450706, 268.03866,  21.30534,              231.03393,  51.73166,       231.01371,       51.73605,    268.03866,     +21.30534,     268.05363,      +21.30247,  1961058.58, -3640486.85,  4971474.32,      50.433759,       -3.802027,  100885.57,  127772.46,   16399.12,            16410.98,   110.64,  56049.75,           58165.78,    -24.66,     16.35,          47.77,  +1.00,  +0.47
  8,     UK0024,       0,  0.324892, 2459443.434955920558, 267.80813,  20.31795,              230.50246,  50.77734,       230.49267,       50.77945,    267.80813,     +20.31795,     267.81618,      +20.31655,  1960537.71, -3641467.09,  4969501.84,      50.418435,       -3.814989,   99757.55,  128010.66,   18662.49,            18674.35,    13.16,  55747.91,           58106.34,    -12.18,      8.08,          23.55,  +0.99,  +0.45
  0,     UK003E,       0,  0.050606, 2459443.434952697717, 255.09237,   7.33886,              236.50430,  32.41821,       236.52495,       32.41015,    255.09237,      +7.33886,     255.07322,       +7.34115,  1964199.91, -3634575.08,  4983370.27,      50.526036,       -3.723796,  107700.91,  196744.56,       0.00,             2760.68,    48.95,      0.00,           57134.01,     60.60,    -26.02,          69.14,  +1.91,  +0.44
  1,     UK003E,       0,  0.091102, 2459443.434953166638, 255.01711,   6.74131,              236.20972,  31.87009,       236.22960,       31.86233,    255.01711,      +6.74131,     254.99877,       +6.74352,  1963687.70, -3635539.02,  4981430.58,      50.511007,       -3.736568,  106588.20,  197570.55,    2225.74,             4986.42,   -80.11,  54962.01,           57134.01,     58.87,    -25.27,          66.89,  +1.25,  -0.23
  2,     UK003E,       0,  0.131634, 2459443.434953635558, 254.94315,   6.09196,              235.88600,  31.27764,       235.91280,       31.26720,    254.94315,      +6.09196,     254.91842,       +6.09495,  1963126.87, -3636594.47,  4979306.75,      50.494543,       -3.750533,  105370.50,  198498.96,    4662.78,             7423.46,     0.03,  60126.20,           57134.01,     80.15,    -34.42,          90.64,  +1.09,  -0.40
  3,     UK003E,       0,  0.172130, 2459443.434954104479, 254.85576,   5.50288,              235.61609,  30.72896,       235.62791,       30.72436,    254.85576,      +5.50288,     254.84520,       +5.50420,  1962611.39, -3637564.56,  4977354.71,      50.479404,       -3.763378,  104251.88,  199375.52,    6902.70,             9663.39,  -114.84,  55312.30,           57134.01,     35.70,    -15.32,          40.19,  +1.25,  -0.25
  4,     UK003E,       0,  0.212674, 2459443.434954573866, 254.77460,   4.85121,              235.30595,  30.12922,       235.31704,       30.12491,    254.77460,      +4.85121,     254.76486,       +4.85246,  1962037.31, -3638644.95,  4975180.69,      50.462536,       -3.777660,  103006.73,  200375.89,    9397.34,            12158.02,    22.21,  61529.01,           57931.40,     33.80,    -14.50,          37.86,  +1.40,  -0.11
  5,     UK003E,       0,  0.253214, 2459443.434955042787, 254.69482,   4.20485,              235.00149,  29.53395,       235.01243,       29.52969,    254.69482,      +4.20485,     254.68535,       +4.20608,  1961462.16, -3639727.33,  4973002.67,      50.445629,       -3.791964,  101760.01,  201404.19,   11896.56,            14657.24,   164.07,  61648.27,           58690.44,     33.70,    -14.45,          37.56,  +1.27,  -0.25
  6,     UK003E,       0,  0.293706, 2459443.434955511708, 254.62421,   3.61781,              234.72635,  28.99360,       234.73919,       28.98862,    254.62421,      +3.61781,     254.61308,       +3.61926,  1960934.82, -3640719.74,  4971005.68,      50.430119,       -3.805088,  100617.52,  202370.36,   14188.04,            16948.73,   100.99,  56591.13,           58736.65,     39.87,    -17.10,          44.22,  +1.33,  -0.20

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.