Orbital Analysis for matched events on 20210813_010530.925_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.14° Bg 38.51° Vg 59.05km/s
mass 0.01789g, abs. mag -0.3
Path Details
------------
start -2.31° 50.74° 106.50km
end   -2.43° 50.68° 93.33km

Orbit Details
-------------
Semimajor axis 12.17A.U., eccentricity 0.92, inclination 113.48°, Period 42.45Y, LA Sun 140.23°, last Perihelion 2021-07-26

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: 2459439.545496819541
Time: 2021-08-13 01:05:30.925208 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0002 and UK0006
 Convergence angle = 49.31657 deg
 R.A. =  45.90234  Dec = +57.58555 deg
Intersection 2 - Stations: UK0002 and UK002H
 Convergence angle = 79.42550 deg
 R.A. =  47.22984  Dec = +56.64572 deg
Intersection 3 - Stations: UK0006 and UK002H
 Convergence angle = 30.12711 deg
 R.A. =  50.20740  Dec = +57.40522 deg

Best intersection: Stations UK0002 and UK002H with Qconv = 79.43 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3749657.75 +/- 38.96 m
 Y =  -1687974.89 +/- 67.62 m
 Z =   4997615.84 +/- 56.35 m
 Vx =    22648.52 +/- 263.59 m/s
 Vy =    22685.67 +/- 370.54 m/s
 Vz =    50821.47 +/- 132.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.625542e+03, -2.343523e+03, +1.528070e+02, +8.719787e+03, -1.313121e+04, +1.257114e+03
-2.343523e+03, +4.881286e+03, +1.125027e+03, -1.351595e+04, +2.091071e+04, -3.193667e+03
+1.528070e+02, +1.125027e+03, +3.396087e+03, -4.381285e+03, -1.618869e+03, +8.166897e+02
+8.719787e+03, -1.351595e+04, -4.381285e+03, +6.302371e+04, -7.236907e+04, +2.315514e+03
-1.313121e+04, +2.091071e+04, -1.618869e+03, -7.236907e+04, +1.412155e+05, -1.938844e+04
+1.257114e+03, -3.193667e+03, +8.166897e+02, +2.315514e+03, -1.938844e+04, +6.421462e+03

Timing offsets (from input data):
    UK0002: 0.000000 s
    UK0006: -0.000092 s
    UK002H: -0.000092 s

Reference point on the trajectory:
  Time: 2021-08-13 01:05:30.925208 UTC
  Lon     = +-2.309498 +/- 0.0007 deg
  Lat     = +50.737772 +/- 0.0005 deg
  Lat geo = +50.552175 +/- 0.0005 deg
  Ht      =  106481.04 +/- 55.41 m

  JD dynamic   = 2459439.546297560446 
  LST apparent = 335.7642637162 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.04695 +/- 0.7259 deg
  Dec       = +57.75794 +/- 0.1707 deg
  Azimuth   =  52.05016 +/- 0.2239 deg
  Elevation = +50.74245 +/- 0.3955 deg
  Vavg      =  60.06083 +/- 0.0277 km/s
  Vinit     =  60.08675 +/- 0.0448 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.23490 +/- 0.7259 deg
  Dec       = +57.53216 +/- 0.1707 deg
  Azimuth   =  52.32631 +/- 0.2239 deg
  Elevation = +50.56797 +/- 0.3955 deg
  Vavg      =  60.21102 +/- 0.0277 km/s
  Vinit     =  60.23694 +/- 0.0448 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.25750 +/- 0.7271 deg
  Dec    = +57.54758 +/- 0.1734 deg
  Vg     =  59.05287 +/- 0.0456 km/s
  Vinf   =  60.08675 +/- 0.0448 km/s
  Zc     =  39.37192 +/- 0.3956 deg
  Zg     =  39.72769 +/- 0.3992 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.13823 +/- 0.4244 deg
  Bg     = +38.50759 +/- 0.2651 deg
  Vh     =  40.96575 +/- 0.0718 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.05693 +/- 0.8969 deg
  Bh     = +63.83475 +/- 0.4577 deg
  Vh_x   =  -3.73822 +/- 0.2404 km/s
  Vh_y   = -17.67330 +/- 0.3114 km/s
  Vh_z   = -36.76783 +/- 0.1972 km/s
Orbit:
  La Sun = 140.232186 +/- 0.0000 deg
  a      =  12.168421 +/- 1.1907 AU
  e      =   0.920411 +/- 0.0063
  i      = 113.484977 +/- 0.2971 deg
  peri   = 155.203769 +/- 1.1531 deg
  node   = 140.231709 +/- 0.0000 deg
  Pi     = 295.435478 +/- 1.1532 deg
  q      =   0.968467 +/- 0.0042 AU
  f      =  24.792453 +/- 1.1531 deg
  M      =   0.414096 +/- 0.0598 deg
  Q      =  23.368375 +/- 2.3790 AU
  n      =   0.023220 +/- 0.0027 deg/day
  T      =  42.447488 +/- 6.5817 years
  Last perihelion JD = 2459421.712303 (2021-07-26 05:05:43.017183) +/- 0.7757 days
  Tj     =  -0.048775 +/- 0.0311
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.193025e-05, +1.401850e-05, +2.959842e-03, +2.087974e-09, +7.253510e-05, -2.918602e-05
q   , +1.401850e-05, +1.874199e-05, +3.459727e-03, +1.168697e-09, +8.997763e-05, -1.634562e-05
Tp  , +2.959842e-03, +3.459727e-03, +6.433454e-01, +2.312111e-07, +1.667773e-02, -3.233651e-03
node, +2.087974e-09, +1.168697e-09, +2.312111e-07, +1.480318e-13, +5.836961e-09, -2.068952e-09
peri, +7.253510e-05, +8.997763e-05, +1.667773e-02, +5.836961e-09, +4.329732e-04, -8.163611e-05
i   , -2.918602e-05, -1.634562e-05, -3.233651e-03, -2.068952e-09, -8.163611e-05, +2.891672e-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: UK0002
  Avg. res. = 1.457e-06 s
  Stddev    = 1.21e-03 s

Begin point on the trajectory:
  Lon =    -2.309309 +/- 0.0006 deg
  Lat =    50.737865 +/- 0.0004 deg
  Ht  = 106502.10 +/- 44.25 m
End point on the trajectory:
  Lon =    -2.428960 +/- 0.0006 deg
  Lat =    50.679105 +/- 0.0003 deg
  Ht  = 93327.35 +/- 34.82 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
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.000000,   0.000000,   106502.10,    93327.35,          0.016604,     25.07,     56.15,              92.75, 0.9977,    True,    True, {"ff_name": "FF_UK0002_20210813_010526_030_0452096.fits"}
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106373.00,    93379.51,          0.015514,     47.02,     14.11,              90.81, 0.9998,    True,    True, {"ff_name": "FF_UK0006_20210813_010525_872_0420608.fits"}
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   105535.23,    94085.97,          0.029971,    161.10,     37.89,              94.76, 0.9931,    True,   False, {"ff_name": "FF_UK002H_20210813_010531_638_0422656.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,     UK0002,       0,  0.000000, 2459439.545496819541, 267.64924,  22.50133,              270.36155,  29.31793,       270.31987,       29.33262,    267.64924,     +22.50133,     267.68875,      +22.48715,  3749668.01, -1687964.62,  4997638.84,      50.737865,       -2.309309,  106502.10,  211927.20,       0.00,               27.20,   110.97,      0.00,           59440.30,   -132.41,     59.07,         141.11,  +1.85,  +0.22
  1,     UK0002,       0,  0.040468, 2459439.545497287530, 267.43224,  21.88967,              270.05139,  28.73402,       270.04589,       28.73596,    267.43224,     +21.88967,     267.43760,      +21.88780,  3748772.58, -1688861.52,  4995629.57,      50.729688,       -2.325996,  104662.78,  212043.83,    2375.59,             2348.39,     0.56,  58702.90,           59440.30,    -17.57,      7.85,          18.72,  +1.18,  -0.45
  2,     UK0002,       0,  0.080928, 2459439.545497755986, 267.19635,  21.31327,              269.78815,  28.16239,       269.78605,       28.16313,    267.19635,     +21.31327,     267.19865,      +21.31256,  3747912.74, -1689722.76,  4993700.17,      50.721829,       -2.342031,  102896.90,  212181.34,    4656.73,             4629.53,  -149.41,  56380.18,           59440.30,     -6.76,      3.02,           7.20,  +0.89,  -0.74
  3,     UK0002,       0,  0.121452, 2459439.545498224907, 266.93144,  20.65562,              269.48997,  27.51111,       269.49328,       27.50995,    266.93144,     +20.65562,     266.92876,      +20.65674,  3746931.36, -1690705.75,  4991498.04,      50.712852,       -2.360313,  100881.77,  212366.79,    7260.34,             7233.14,    19.25,  64248.53,           59440.30,     10.67,     -4.77,          11.35,  +0.85,  -0.79
  4,     UK0002,       0,  0.161952, 2459439.545498693828, 266.68417,  20.01990,              269.20020,  26.88543,       269.21464,       26.88036,    266.68417,     +20.01990,     266.67104,      +20.02482,  3745984.62, -1691654.04,  4989373.62,      50.704183,       -2.377959,   98938.15,  212576.27,    9772.06,             9744.85,    97.45,  62017.71,           60335.30,     46.87,    -20.96,          49.82,  +0.67,  -0.97
  5,     UK0002,       0,  0.202416, 2459439.545499162283, 266.45235,  19.43911,              268.94446,  26.30869,       268.96192,       26.30256,    266.45235,     +19.43911,     266.43649,      +19.44507,  3745114.90, -1692525.19,  4987422.03,      50.696213,       -2.394187,   97152.96,  212795.63,   12079.44,            12052.24,   -26.52,  57023.14,           60118.01,     56.99,    -25.49,          60.51,  +0.46,  -1.18
  6,     UK0002,       0,  0.242916, 2459439.545499630738, 266.19041,  18.82566,              268.69208,  25.68731,       268.69525,       25.68620,    266.19041,     +18.82566,     266.18835,      +18.82674,  3744185.60, -1693456.01,  4985336.77,      50.687689,       -2.411519,   95245.86,  213056.78,   14544.87,            14517.67,     5.40,  60874.75,           60121.50,     10.41,     -4.65,          11.03,  +0.40,  -1.24
  7,     UK0002,       0,  0.283408, 2459439.545500099659, 265.95187,  18.20166,              268.41800,  25.07150,       268.43039,       25.06716,    265.95187,     +18.20166,     265.94116,      +18.20589,  3743250.58, -1694392.57,  4983238.65,      50.679105,       -2.428960,   93327.35,  213348.05,   17025.50,            16998.30,    53.00,  61262.34,           60218.03,     40.89,    -18.28,          43.30,  +0.39,  -1.26
  0,     UK0006,       0,  0.000081, 2459439.545496931300, 313.29873,   0.83651,              209.19760,  35.28409,       209.17513,       35.27928,    313.29873,      +0.83651,     313.31477,       +0.82640,  3749605.16, -1688027.56,  4997497.83,      50.737291,       -2.310508,  106373.00,  181119.89,       0.00,              139.52,   218.41,      0.00,           58044.00,    -17.23,     57.43,          68.28,  +0.43,  -0.86
  1,     UK0006,       0,  0.040765, 2459439.545497402083, 312.89128,   0.21469,              209.44203,  34.56820,       209.40787,       34.56089,    312.89128,      +0.21469,     312.91604,       +0.19919,  3748721.66, -1688912.51,  4995515.32,      50.729223,       -2.326977,  104558.21,  181148.99,    2343.94,             2483.46,   117.78,  57613.29,           58044.00,    -26.42,     88.02,         104.64,  -0.62,  -1.91
  2,     UK0006,       0,  0.081429, 2459439.545497872867, 312.52214,  -0.40919,              209.63764,  33.86158,       209.63101,       33.86016,    312.52214,      -0.40919,     312.52730,       -0.41222,  3747860.02, -1689775.57,  4993581.86,      50.721347,       -2.343046,  102788.63,  181206.82,    4629.89,             4769.41,   -39.63,  56215.57,           58044.00,     -5.17,     17.24,          20.49,  -0.78,  -2.07
  3,     UK0006,       0,  0.122145, 2459439.545498344116, 312.10008,  -1.07144,              209.87602,  33.10187,       209.86844,       33.10025,    312.10008,      -1.07144,     312.10613,       -1.07494,  3746925.25, -1690711.87,  4991484.32,      50.712796,       -2.360468,  100869.22,  181301.88,    7109.83,             7249.35,    -6.18,  60908.36,           58044.00,     -5.95,     19.86,          23.58,  -1.05,  -2.34
  4,     UK0006,       0,  0.162881, 2459439.545498815365, 311.67306,  -1.75171,              210.10905,  32.32305,       210.10697,       32.32261,    311.67306,      -1.75171,     311.67528,       -1.75268,  3745968.01, -1691670.68,  4989336.34,      50.704031,       -2.378310,   98904.04,  181434.35,    9649.41,             9788.93,    85.70,  62342.31,           59130.42,     -1.65,      5.49,           6.52,  -1.13,  -2.42
  5,     UK0006,       0,  0.203557, 2459439.545499286149, 311.25526,  -2.36867,              210.35066,  31.60684,       210.32473,       31.60130,    311.25526,      -2.36867,     311.27538,       -2.38082,  3745079.28, -1692560.87,  4987342.10,      50.695886,       -2.394890,   97079.86,  181589.54,   12007.22,            12146.74,    -0.58,  57965.60,           59274.23,    -20.75,     69.11,          81.96,  -1.35,  -2.65
  6,     UK0006,       0,  0.244209, 2459439.545499756932, 310.88466,  -2.98136,              210.53753,  30.90904,       210.53101,       30.90765,    310.88466,      -2.98136,     310.89056,       -2.98444,  3744223.52, -1693418.04,  4985421.84,      50.688037,       -2.410864,   95323.65,  181768.08,   14277.56,            14417.08,  -172.88,  55848.28,           58958.97,     -5.26,     17.52,          20.75,  -1.33,  -2.63
  7,     UK0006,       0,  0.284925, 2459439.545500228181, 310.47217,  -3.65622,              210.74433,  30.13880,       210.75503,       30.14108,    310.47217,      -3.65622,     310.46529,       -3.65113,  3743276.00, -1694367.11,  4983295.70,      50.679339,       -2.428537,   93379.51,  181998.22,   16791.33,            16930.85,  -105.61,  61738.98,           59059.34,      8.69,    -28.99,          34.30,  -1.27,  -2.57
  0,     UK002H,       0,  0.023061, 2459439.545497079846, 336.98267, -18.42967,              178.68044,  18.17518,       178.70402,       18.18841,    336.98267,     -18.42967,     336.95892,      -18.41675,  3749197.33, -1688436.07,  4996582.68,      50.733568,       -2.318085,  105535.23,  315771.49,       0.00,             1221.51,   -80.40,      0.00,           60713.03,    -32.82,   -139.58,          93.66,  +3.48,  +0.98
  1,     UK002H,       0,  0.063385, 2459439.545497546438, 336.75997, -18.81535,              178.90767,  17.79232,       178.94063,       17.81081,    336.75997,     -18.81535,     336.72682,      -18.79723,  3748283.11, -1689351.78,  4994531.25,      50.725215,       -2.335121,  103657.51,  315970.49,    2425.43,             3646.94,   -77.91,  60148.59,           60713.03,    -46.01,   -195.51,         131.11,  +2.29,  -0.21
  2,     UK002H,       0,  0.103721, 2459439.545498013496, 336.51761, -19.21836,              179.15255,  17.39179,       179.18898,       17.41222,    336.51761,     -19.21836,     336.48099,      -19.19824,  3747317.50, -1690318.98,  4992364.50,      50.716385,       -2.353109,  101674.61,  316200.84,    4987.20,             6208.71,    60.20,  63510.80,           60713.03,    -50.99,   -216.65,         145.18,  +1.78,  -0.72
  3,     UK002H,       0,  0.144017, 2459439.545498479623, 336.28431, -19.57525,              179.38593,  17.03667,       179.41274,       17.05169,    336.28431,     -19.57525,     336.25756,      -19.56040,  3746443.49, -1691194.42,  4990403.29,      50.708385,       -2.369410,   99880.14,  316427.14,    7305.96,             8527.47,   -42.30,  57543.09,           60713.03,    -37.55,   -159.70,         106.94,  +1.84,  -0.66
  4,     UK002H,       0,  0.184337, 2459439.545498946216, 336.02876, -19.95957,              179.63937,  16.65366,       179.65353,       16.66158,    336.02876,     -19.95957,     336.01502,      -19.95170,  3745496.96, -1692142.50,  4988279.35,      50.699715,       -2.387054,   97937.14,  316691.28,    9817.12,            11038.62,    46.16,  62280.68,           60803.01,    -19.86,    -84.54,          56.56,  +2.63,  +0.13
  5,     UK002H,       0,  0.224645, 2459439.545499412809, 335.81487, -20.32856,              179.84985,  16.28524,       179.87594,       16.29984,    335.81487,     -20.32856,     335.78903,      -20.31400,  3744618.40, -1693022.51,  4986307.92,      50.691660,       -2.403447,   96133.99,  316954.13,   12147.96,            13369.46,   -44.97,  57825.76,           60403.52,    -36.69,   -156.10,         104.35,  +1.48,  -1.02
  6,     UK002H,       0,  0.264985, 2459439.545499879867, 335.55496, -20.73768,              180.10327,  15.87618,       180.12685,       15.88936,    335.55496,     -20.73768,     335.53179,      -20.72447,  3743620.32, -1694022.22,  4984068.33,      50.682500,       -2.422050,   94085.97,  317273.35,   14795.85,            16017.36,   179.02,  65639.46,           60822.16,    -33.23,   -141.43,          94.45,  +1.31,  -1.20

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.