Orbital Analysis for matched events on 20210810_014150.561_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 57.89° Bg 36.02° Vg 56.17km/s
mass 0.07117g, abs. mag -2.3
Path Details
------------
start -4.83° 53.00° 103.60km
end   -4.92° 52.97° 93.55km

Orbit Details
-------------
Semimajor axis 2.45A.U., eccentricity 0.61, inclination 114.82°, Period 3.84Y, LA Sun 137.38°, last Perihelion 2021-07-15

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: 2459436.570724096149
Time: 2021-08-10 01:41:50.568023 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK001Z
 Convergence angle = 26.68028 deg
 R.A. =  43.09553  Dec = +53.52352 deg
Intersection 2 - Stations: UK001L and UK0027
 Convergence angle = 15.75805 deg
 R.A. =  34.61791  Dec = +65.42961 deg
Intersection 3 - Stations: UK001L and UK003H
 Convergence angle = 17.85196 deg
 R.A. =  14.95043  Dec = +75.65514 deg
Intersection 4 - Stations: UK001Z and UK0027
 Convergence angle = 11.78171 deg
 R.A. =  39.33270  Dec = +36.81377 deg
Intersection 5 - Stations: UK001Z and UK003H
 Convergence angle = 12.67940 deg
 R.A. =  36.73689  Dec = +18.24647 deg
Intersection 6 - Stations: UK0027 and UK003H
 Convergence angle = 4.04450 deg
 R.A. = 225.60224  Dec = +49.49999 deg

Best intersection: Stations UK001L and UK001Z with Qconv = 26.68 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3658983.82 +/- 1791.09 m
 Y =  -1375541.50 +/- 2519.80 m
 Z =   5153614.30 +/- 2283.64 m
 Vx =    24541.83 +/- 24248.85 m/s
 Vy =    22396.21 +/- 27267.93 m/s
 Vz =    46624.86 +/- 25007.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.525270e+03, +1.157142e+04, +9.151597e+02, +4.326153e+04, +6.906278e+04, -2.112256e+04
+1.157142e+04, +2.173352e+04, -6.580695e+03, +7.859376e+04, +1.585655e+05, -6.850431e+04
+9.151597e+02, -6.580695e+03, +2.995834e+04, -4.756432e+04, -9.906944e+04, +9.145016e+04
+4.326153e+04, +7.859376e+04, -4.756432e+04, +4.062460e+05, +7.603053e+05, -3.894659e+05
+6.906278e+04, +1.585655e+05, -9.906944e+04, +7.603053e+05, +1.645218e+06, -8.872024e+05
-2.112256e+04, -6.850431e+04, +9.145016e+04, -3.894659e+05, -8.872024e+05, +6.235395e+05

Timing offsets (from input data):
    UK001L: -0.000335 s
    UK001Z: 0.000127 s
    UK0027: 0.000004 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:41:50.568023 UTC
  Lon     = +-4.826622 +/- 0.0438 deg
  Lat     = +53.001967 +/- 0.0176 deg
  Lat geo = +52.819803 +/- 0.0177 deg
  Ht      =  103793.87 +/- 1377.64 m

  JD dynamic   = 2459436.571524907835 
  LST apparent = 339.3969829416 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.38274 +/- 42.7587 deg
  Dec       = +54.52634 +/- 4.6009 deg
  Azimuth   =  61.59839 +/- 32.8959 deg
  Elevation = +54.00205 +/- 5.1892 deg
  Vavg      =  53.75861 +/- 18.3417 km/s
  Vinit     =  57.25180 +/- 28.0158 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.60432 +/- 42.7587 deg
  Dec       = +54.31970 +/- 4.6009 deg
  Azimuth   =  61.82754 +/- 32.8959 deg
  Elevation = +53.79934 +/- 5.1892 deg
  Vavg      =  53.90651 +/- 18.3417 km/s
  Vinit     =  57.39970 +/- 28.0158 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.55342 +/- 42.8220 deg
  Dec    = +54.29169 +/- 4.6422 deg
  Vg     =  56.16517 +/- 28.2115 km/s
  Vinf   =  57.25180 +/- 28.0158 km/s
  Zc     =  36.08490 +/- 5.1955 deg
  Zg     =  36.44252 +/- 5.1301 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  57.88955 +/- 32.1639 deg
  Bg     = +36.01555 +/- 14.2694 deg
  Vh     =  37.25832 +/- 37.2008 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  75.02713 +/- 41.4683 deg
  Bh     = +62.42671 +/- 3.5667 deg
  Vh_x   =  -4.45577 +/- 20.2684 km/s
  Vh_y   = -16.66070 +/- 18.6171 km/s
  Vh_z   = -33.02650 +/- 32.4999 km/s
Orbit:
  La Sun = 137.376990 +/- -0.0000 deg
  a      =   2.450400 +/- 0.8700 AU
  e      =   0.611563 +/- 8.7816
  i      = 114.823194 +/- 16.7090 deg
  peri   = 147.037991 +/- 10.2285 deg
  node   = 137.376500 +/- 0.0011 deg
  Pi     = 284.414492 +/- 10.2295 deg
  q      =   0.951825 +/- 0.0217 AU
  f      =  32.958104 +/- 10.2284 deg
  M      =   6.559123 +/- nan deg
  Q      =   3.948976 +/- 1.7565 AU
  n      =   0.256950 +/- 48.7792 deg/day
  T      =   3.835803 +/- 339934633.0435 years
  Last perihelion JD = 2459411.044669 (2021-07-15 13:04:19.386308) +/- 2.5566 days
  Tj     =   1.668001 +/- 44.5527
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.644860e-03, +3.701574e-04, +1.308095e-01, +1.210578e-07, +2.640137e-03, -1.627994e-03
q   , +3.701574e-04, +5.988903e-05, +1.971447e-02, +1.874954e-08, +4.063631e-04, -2.530008e-04
Tp  , +1.308095e-01, +1.971447e-02, +6.721915e+00, +6.278475e-06, +1.370942e-01, -8.454884e-02
node, +1.210578e-07, +1.874954e-08, +6.278475e-06, +8.670407e-12, +1.287842e-07, -1.159558e-07
peri, +2.640137e-03, +4.063631e-04, +1.370942e-01, +1.287842e-07, +2.804952e-03, -1.735422e-03
i   , -1.627994e-03, -2.530008e-04, -8.454884e-02, -1.159558e-07, -1.735422e-03, +1.551686e-03

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: UK003H
  Avg. res. = 2.792e-06 s
  Stddev    = 1.67e-03 s

Begin point on the trajectory:
  Lon =    -4.828475 +/- 0.0436 deg
  Lat =    53.001363 +/- 0.0176 deg
  Ht  = 103596.03 +/- 1354.38 m
End point on the trajectory:
  Lon =    -4.923661 +/- 0.0756 deg
  Lat =    52.970577 +/- 0.0243 deg
  Ht  = 93552.91 +/- 1769.06 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,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   102709.24,    93552.91,          0.006262,      5.12,     31.42,              92.37, 0.9983,    True,    True, {"ff_name": "FF_UK001L_20210810_014141_675_0467200.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   103089.17,    96018.10,          0.023195,     64.69,     97.39,              74.29, 0.9267,    True,    True, {"ff_name": "FF_UK001Z_20210810_014146_561_0480512.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   103596.03,    95033.36,          0.030249,     53.52,    131.70,              81.03, 0.9757,    True,    True, {"ff_name": "FF_UK0027_20210810_014145_616_0479232.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   103580.12,    98514.59,          0.032768,     58.79,    142.68,              80.97, 0.9754,    True,    True, {"ff_name": "FF_UK003H_20210810_014141_904_0480000.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,       0,  0.030475, 2459436.570724591147, 242.55637,  32.78697,              298.72450,  19.43327,       298.73247,       19.42919,    242.55637,     +32.78697,     242.54642,      +32.78868,  3658409.12, -1376065.96,  5152522.46,      52.998652,       -4.836936,  102709.24,  291088.88,       0.00,             1340.69,    -0.78,      0.00,           59059.66,     42.90,      6.99,          30.80,  +2.20,  -0.12
  1,     UK001L,       0,  0.070755, 2459436.570725057274, 242.44369,  32.34956,              298.50365,  19.03721,       298.50581,       19.03610,    242.44369,     +32.34956,     242.44119,      +32.35002,  3657436.56, -1376953.49,  5150674.79,      52.993038,       -4.854303,  100873.98,  291145.78,    2268.80,             3609.50,   -38.08,  56325.81,           59059.66,     11.65,      1.90,           8.36,  +1.52,  -0.80
  2,     UK001L,       0,  0.111015, 2459436.570725523401, 242.34895,  31.92558,              298.28140,  18.66044,       298.28830,       18.65691,    242.34895,     +31.92558,     242.34072,      +31.92706,  3656498.66, -1377809.39,  5148892.96,      52.987618,       -4.871062,   99104.36,  291217.81,    4456.76,             5797.45,  -155.08,  54345.67,           59059.66,     37.30,      6.07,          26.76,  +0.55,  -1.77
  3,     UK001L,       0,  0.151347, 2459436.570725989994, 242.21938,  31.39624,              298.01401,  18.18295,       298.01722,       18.18130,    242.21938,     +31.39624,     242.21593,      +31.39692,  3655321.97, -1378883.21,  5146657.47,      52.980811,       -4.892053,   96884.55,  291329.05,    7201.77,             8542.46,   280.85,  68060.37,           59059.66,     17.40,      2.83,          12.48,  +0.40,  -1.92
  4,     UK001L,       0,  0.191591, 2459436.570726456121, 242.12713,  31.00547,              297.81590,  17.83161,       297.81817,       17.83045,    242.12713,     +31.00547,     242.12501,      +31.00595,  3654454.37, -1379674.96,  5145009.19,      52.975787,       -4.907578,   95248.06,  291430.22,    9225.73,            10566.42,     0.77,  50292.17,           58051.91,     12.34,      2.01,           8.85,  +0.64,  -1.68
  5,     UK001L,       0,  0.231839, 2459436.570726921782, 242.04120,  30.59941,              297.60454,  17.47138,       297.61298,       17.46707,    242.04120,     +30.59941,     242.03166,      +30.60119,  3653555.56, -1380495.19,  5143301.61,      52.970577,       -4.923661,   93552.91,  291549.53,   11322.51,            12663.20,  -206.72,  52096.48,           56913.88,     45.85,      7.47,          32.87,  +2.37,  +0.05
  0,     UK001Z,       0,  0.016506, 2459436.570724523626, 206.83611,  51.69547,              331.98474,  19.57018,       331.99187,       19.56495,    206.83611,     +51.69547,     206.82256,      +51.69408,  3658610.44, -1375882.25,  5152904.93,      52.999814,       -4.833352,  103089.17,  290359.63,       0.00,              871.05,   329.35,      0.00,           54585.96,     35.92,     23.89,          30.65,  +4.01,  +1.70
  1,     UK001Z,       0,  0.056666, 2459436.570724988356, 206.95112,  51.29578,              331.71544,  19.25338,       331.72647,       19.24529,    206.95112,     +51.29578,     206.93047,      +51.29365,  3657693.54, -1376718.98,  5151163.00,      52.994522,       -4.849733,  101358.89,  289746.44,    2138.96,             3010.01,   169.08,  53261.01,           54585.96,     55.54,     36.92,          47.48,  +1.94,  -0.37
  2,     UK001Z,       0,  0.096822, 2459436.570725453086, 207.10429,  50.86862,              331.40982,  18.92428,       331.44201,       18.90070,    207.10429,     +50.86862,     207.04439,      +50.86248,  3656710.55, -1377616.03,  5149295.50,      52.988843,       -4.867288,   99504.13,  289104.90,    4432.10,             5303.15,   163.22,  57105.82,           54585.96,    161.89,    107.50,         138.65,  +1.28,  -1.03
  3,     UK001Z,       0,  0.137002, 2459436.570725918282, 207.16930,  50.46579,              331.16814,  18.59020,       331.17984,       18.58164,    207.16930,     +50.46579,     207.14808,      +50.46357,  3655805.39, -1378442.05,  5147575.88,      52.983609,       -4.883472,   97796.47,  288529.52,    6543.67,             7414.72,   -25.59,  52552.70,           54585.96,     58.75,     39.05,          50.43,  +1.08,  -1.22
  4,     UK001Z,       0,  0.177158, 2459436.570726383012, 207.29639,  50.05071,              330.88375,  18.26448,       330.90682,       18.24762,    207.29639,     +50.05071,     207.25455,      +50.04637,  3654862.63, -1379302.39,  5145784.81,      52.978152,       -4.900325,   96018.10,  287945.33,    8742.97,             9614.02,  -125.30,  54768.76,           54503.10,    115.73,     76.87,          99.52,  +1.72,  -0.58
  0,     UK0027,       0,  0.003057, 2459436.570724166930, 225.12192,  45.95849,              318.14048,  21.49270,       318.18513,       21.46338,    225.12192,     +45.95849,     225.04866,      +45.95990,  3658879.00, -1375637.16,  5153415.16,      53.001363,       -4.828475,  103596.03,  269724.80,       0.00,              244.53,   472.77,      0.00,           54390.70,    221.82,     90.10,         183.09,  +2.56,  +0.41
  1,     UK0027,       0,  0.043237, 2459436.570724631660, 225.07464,  45.55081,              317.90697,  21.14633,       317.93177,       21.13007,    225.07464,     +45.55081,     225.03431,      +45.55159,  3658045.01, -1376398.24,  5151830.73,      52.996551,       -4.843389,  102022.12,  269383.95,    1945.56,             2190.09,   117.96,  48421.22,           54390.70,    123.17,     50.08,         101.80,  +1.55,  -0.60
  2,     UK0027,       0,  0.083417, 2459436.570725096855, 225.05773,  45.09519,              317.62601,  20.77365,       317.65049,       20.75761,    225.05773,     +45.09519,     225.01835,      +45.09595,  3657116.41, -1377245.66,  5150066.56,      52.991188,       -4.859980,  100269.89,  269019.75,    4111.83,             4356.36,   -16.15,  53914.07,           54390.70,    121.59,     49.44,         100.64,  +0.87,  -1.28
  3,     UK0027,       0,  0.123617, 2459436.570725562051, 225.04288,  44.57817,              317.30640,  20.35189,       317.33315,       20.33439,    225.04288,     +44.57817,     225.00034,      +44.57899,  3656065.38, -1378204.79,  5148069.81,      52.985113,       -4.878742,   98286.94,  268627.14,    6563.68,             6808.21,   134.18,  60991.33,           54390.70,    132.82,     53.99,         110.09,  +0.53,  -1.62
  4,     UK0027,       0,  0.163841, 2459436.570726027712, 224.98062,  44.08007,              317.02983,  19.92451,       317.02847,       19.92539,    224.98062,     +44.08007,     224.98332,      +44.08003,  3655053.90, -1379127.84,  5146148.19,      52.979259,       -4.896811,   96378.89,  268270.32,    8923.29,             9167.82,   190.89,  58661.64,           55890.05,     -6.72,     -2.74,           5.58,  +0.85,  -1.29
  5,     UK0027,       0,  0.203993, 2459436.570726492442, 224.94408,  43.72742,              316.83065,  19.62463,       316.81353,       19.63580,    224.94408,     +43.72742,     224.97192,      +43.72690,  3654340.55, -1379778.83,  5144792.95,      52.975127,       -4.909607,   95033.36,  268033.13,   10587.43,            10831.96,  -443.75,  41445.90,           54256.95,    -84.96,    -34.61,          70.60,  +1.97,  -0.17
  0,     UK003H,       0,  0.000000, 2459436.570724235848, 224.68050,  46.02423,              318.44664,  21.35643,       318.40767,       21.38209,    224.68050,     +46.02423,     224.74438,      +46.02316,  3658870.57, -1375644.85,  5153399.14,      53.001314,       -4.828649,  103580.12,  270258.47,       0.00,              264.20,   667.47,      0.00,           51851.11,   -193.80,    -79.89,         159.99,  +5.77,  +3.61
  1,     UK003H,       0,  0.040320, 2459436.570724702440, 224.69939,  45.65586,              318.19981,  21.06847,       318.17911,       21.08208,    224.69939,     +45.65586,     224.73325,      +45.65529,  3658117.84, -1376331.78,  5151969.08,      52.996971,       -4.842127,  102159.56,  269949.19,    1756.00,             2020.20,   115.08,  43551.63,           51851.11,   -102.94,    -42.39,          85.06,  +1.09,  -1.07
  2,     UK003H,       0,  0.080712, 2459436.570725169964, 224.68746,  45.20444,              317.91969,  20.70056,       317.90013,       20.71341,    224.68746,     +45.20444,     224.71942,      +45.20391,  3657195.81, -1377173.20,  5150217.40,      52.991647,       -4.858602,  100419.71,  269583.91,    3906.94,             4171.13,   -46.50,  53251.51,           51851.11,    -97.29,    -40.06,          80.50,  +0.19,  -1.96
  3,     UK003H,       0,  0.121148, 2459436.570725637954, 224.65397,  44.70919,              317.62652,  20.28774,       317.59549,       20.30810,    224.65397,     +44.70919,     224.70434,      +44.70835,  3656186.05, -1378094.67,  5148299.06,      52.985810,       -4.876635,   98514.59,  269202.43,    6262.52,             6526.71,    -5.95,  58254.49,           51851.11,   -154.30,    -63.57,         127.87,  -0.02,  -2.17

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.