Orbital Analysis for matched events on 20210816_015958.763_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 80.70° Bg 32.71° Vg 66.04km/s
mass 0.16783g, abs. mag -2.9
Path Details
------------
start -5.66° 48.34° 108.75km
end   -5.92° 48.18° 86.60km

Orbit Details
-------------
Semimajor axis -1.59A.U., eccentricity 1.49, inclination 119.09°, Period 1000000000.00Y, LA Sun 143.15°, 

Full details below
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Detailed report below graphs

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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: 2459442.583319022320
Time: 2021-08-16 01:59:58.763528 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003E
 Convergence angle = 7.58503 deg
 R.A. =  71.56102  Dec = +56.16014 deg

Best intersection: Stations UK0021 and UK003E with Qconv = 7.59 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4240561.53 +/- 896.35 m
 Y =   -822306.98 +/- 762.60 m
 Z =   4823742.96 +/- 337.27 m
 Vx =     9132.43 +/- 4703.37 m/s
 Vy =    36396.01 +/- 3649.04 m/s
 Vz =    55465.52 +/- 1781.32 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.890995e+05, -2.443908e+05, -1.076691e+05, +1.034484e+06, -9.293833e+05, -4.450400e+05
-2.443908e+05, +2.075767e+05, +9.199612e+04, -8.690863e+05, +7.811058e+05, +3.728414e+05
-1.076691e+05, +9.199612e+04, +4.171317e+04, -3.841746e+05, +3.449214e+05, +1.651817e+05
+1.034484e+06, -8.690863e+05, -3.841746e+05, +4.261615e+06, -3.864985e+06, -1.889212e+06
-9.293833e+05, +7.811058e+05, +3.449214e+05, -3.864985e+06, +3.513727e+06, +1.718580e+06
-4.450400e+05, +3.728414e+05, +1.651817e+05, -1.889212e+06, +1.718580e+06, +8.500544e+05

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003E: -0.000970 s

Reference point on the trajectory:
  Time: 2021-08-16 01:59:58.763528 UTC
  Lon     = +-5.658246 +/- 0.0077 deg
  Lat     = +48.344236 +/- 0.0087 deg
  Lat geo = +48.156262 +/- 0.0087 deg
  Ht      =  108814.54 +/- 432.32 m

  JD dynamic   = 2459442.584119763225 
  LST apparent = 349.0257115436 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  75.91424 +/- 8.0141 deg
  Dec       = +55.92034 +/- 0.4601 deg
  Azimuth   =  46.67196 +/- 2.5541 deg
  Elevation = +39.72106 +/- 4.1536 deg
  Vavg      =  65.85975 +/- 1.9392 km/s
  Vinit     =  66.96637 +/- 1.7892 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  75.94013 +/- 8.0141 deg
  Dec       = +55.69804 +/- 0.4601 deg
  Azimuth   =  46.91132 +/- 2.5541 deg
  Elevation = +39.59586 +/- 4.1536 deg
  Vavg      =  66.03650 +/- 1.9392 km/s
  Vinit     =  67.14312 +/- 1.7892 km/s
Radiant (geocentric, J2000):
  R.A.   =  76.04184 +/- 8.0191 deg
  Dec    = +55.70170 +/- 0.4510 deg
  Vg     =  66.04075 +/- 1.8183 km/s
  Vinf   =  66.96637 +/- 1.7892 km/s
  Zc     =  50.40806 +/- 4.1601 deg
  Zg     =  50.78338 +/- 4.1792 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  80.70322 +/- 5.3797 deg
  Bg     = +32.71357 +/- 0.9899 deg
  Vh     =  48.08072 +/- 2.0464 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 105.10184 +/- 10.1393 deg
  Bh     = +47.92911 +/- 3.7435 deg
  Vh_x   =   8.39353 +/- 3.5530 km/s
  Vh_y   = -31.10385 +/- 3.6314 km/s
  Vh_z   = -35.69111 +/- 0.1986 km/s
Orbit:
  La Sun = 143.150282 +/- -0.0000 deg
  a      =  -1.585058 +/- 12.5977 AU
  e      =   1.488831 +/- 0.1720
  i      = 119.088054 +/- 0.8873 deg
  peri   = 127.397257 +/- 10.2583 deg
  node   = 143.149778 +/- 0.0001 deg
  Pi     = 270.547034 +/- 10.2584 deg
  q      =   0.774825 +/- 0.0528 AU
  f      =  52.599016 +/- 10.2583 deg
  M      =        nan +/- nan deg
  Q      =  -3.944941 +/- 25.1796 AU
  n      =   0.493897 +/- 0.0981 deg/day
  T      = 1000000000.000000 +/- 427919766.1500 years
  Last perihelion JD = NaN 
  Tj     =  -3.875195 +/- 1.0512
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.346509e-03, -2.142361e-03, -3.540513e-01, -5.064547e-08, -1.001793e-02, +7.179250e-04
q   , -2.142361e-03, +7.342716e-04, +1.233923e-01, +1.730256e-08, +3.471561e-03, -2.453472e-04
Tp  , -3.540513e-01, +1.233923e-01, +2.265487e+01, +3.017446e-06, +6.207529e-01, -4.284657e-02
node, -5.064547e-08, +1.730256e-08, +3.017446e-06, +4.288501e-13, +8.398318e-08, -6.083511e-09
peri, -1.001793e-02, +3.471561e-03, +6.207529e-01, +8.398318e-08, +1.714125e-02, -1.192028e-03
i   , +7.179250e-04, -2.453472e-04, -4.284657e-02, -6.083511e-09, -1.192028e-03, +8.630048e-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: UK0021
  Avg. res. = 7.709e-06 s
  Stddev    = 2.78e-03 s

Begin point on the trajectory:
  Lon =    -5.658984 +/- 0.0076 deg
  Lat =    48.343773 +/- 0.0087 deg
  Ht  = 108751.07 +/- 436.96 m
End point on the trajectory:
  Lon =    -5.919161 +/- 0.0100 deg
  Lat =    48.180739 +/- 0.0109 deg
  Ht  = 86596.10 +/- 418.10 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   108751.07,    86596.10,          0.007792,     44.72,      7.63,             106.39, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210816_015951_451_0524544.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   105685.71,    93930.18,          0.021180,    169.96,      5.51,             112.93, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210816_015954_863_0531456.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,     UK0021,       0,  0.000000, 2459442.583319022320, 320.07269, -15.76029,              211.54375,  18.17419,       211.53868,       18.17295,    320.07269,     -15.76029,     320.07694,      -15.76311,  4240547.99,  -822360.96,  4823660.69,      48.343773,       -5.658984,  108751.07,  325048.18,       0.00,               99.32,   459.58,      0.00,           62740.52,      4.75,     27.80,          17.90,  +2.97,  +0.41
  1,     UK0021,       0,  0.040356, 2459442.583319489378, 319.81701, -16.10374,              211.66167,  17.76698,       211.65130,       17.76444,    319.81701,     -16.10374,     319.82591,      -16.10954,  4240179.34,  -823830.14,  4821421.74,      48.331152,       -5.679215,  107023.93,  326306.51,    2703.20,             2802.52,   460.29,  66983.89,           62740.52,      9.78,     57.26,          36.72,  +1.95,  -0.62
  2,     UK0021,       0,  0.080672, 2459442.583319955971, 319.59757, -16.41054,              211.75733,  17.40616,       211.75032,       17.40444,    319.59757,     -16.41054,     319.60382,      -16.41447,  4239852.17,  -825134.03,  4819434.69,      48.319943,       -5.697189,  105491.65,  327438.66,    5102.28,             5201.59,   159.54,  59506.73,           62740.52,      6.64,     38.87,          24.84,  +1.67,  -0.91
  3,     UK0021,       0,  0.121000, 2459442.583320422564, 319.36206, -16.72866,              211.86282,  17.02932,       211.85359,       17.02706,    319.36206,     -16.72866,     319.37037,      -16.73386,  4239506.77,  -826510.57,  4817336.92,      48.308101,       -5.716156,  103874.54,  328648.44,    7635.02,             7734.34,    -8.33,  62803.69,           62740.52,      8.79,     51.52,          32.80,  +1.06,  -1.52
  4,     UK0021,       0,  0.161340, 2459442.583320889622, 319.12277, -17.06389,              211.96431,  16.63516,       211.96053,       16.63424,    319.12277,     -17.06389,     319.12665,      -17.06602,  4239144.54,  -827954.21,  4815136.88,      48.295672,       -5.736041,  102179.22,  329933.13,   10291.24,            10390.56,   -53.53,  65845.82,           63260.22,      3.62,     21.20,          13.44,  +0.83,  -1.76
  5,     UK0021,       0,  0.201696, 2459442.583321356680, 318.85862, -17.40505,              212.08543,  16.22706,       212.07171,       16.22370,    318.85862,     -17.40505,     318.87114,      -17.41284,  4238762.94,  -829475.00,  4812819.28,      48.282567,       -5.756980,  100393.99,  331303.91,   13089.39,            13188.71,    42.12,  69336.69,           64277.31,     13.21,     77.46,          48.92,  +0.62,  -1.98
  6,     UK0021,       0,  0.242040, 2459442.583321823739, 318.62236, -17.74648,              212.17909,  15.82806,       212.17850,       15.82792,    318.62236,     -17.74648,     318.62387,      -17.74682,  4238392.09,  -830952.99,  4810566.91,      48.269821,       -5.777335,   98659.68,  332653.52,   15808.80,            15908.12,    59.84,  67405.48,           64975.70,      0.57,      3.33,           2.10,  +0.51,  -2.10
  7,     UK0021,       0,  0.282368, 2459442.583322290331, 318.39328, -18.07230,              212.27059,  15.44608,       212.28053,       15.44851,    318.39328,     -18.07230,     318.38596,      -18.06662,  4238033.77,  -832381.00,  4808390.70,      48.257497,       -5.797008,   96984.63,  333973.65,   18436.25,            18535.57,   -13.33,  65151.91,           65281.32,     -9.71,    -56.79,          35.58,  +0.35,  -2.27
  8,     UK0021,       0,  0.322704, 2459442.583322757389, 318.14382, -18.39665,              212.38012,  15.05855,       212.38463,       15.05966,    318.14382,     -18.39665,     318.14129,      -18.39406,  4237663.59,  -833856.31,  4806142.40,      48.244753,       -5.817328,   95254.75,  335353.58,   21150.73,            21250.05,    -0.00,  67296.89,           65558.30,     -4.43,    -25.93,          16.18,  +0.30,  -2.33
  9,     UK0021,       0,  0.363032, 2459442.583323223982, 317.89485, -18.71540,              212.48990,  14.67639,       212.48706,       14.67569,    317.89485,     -18.71540,     317.89881,      -18.71704,  4237295.07,  -835324.99,  4803904.22,      48.232057,       -5.837558,   93533.31,  336743.54,   23853.01,            23952.33,     1.65,  67007.33,           65778.33,      2.81,     16.46,          10.23,  +0.35,  -2.29
 10,     UK0021,       0,  0.403360, 2459442.583323691040, 317.65359, -19.03875,              212.58960,  14.29253,       212.58893,       14.29237,    317.65359,     -19.03875,     317.65585,      -19.03914,  4236924.14,  -836803.30,  4801651.36,      48.219267,       -5.857920,   91801.23,  338158.73,   26573.00,            26672.32,    21.03,  67446.86,           65974.17,      0.67,      3.92,           2.42,  +0.28,  -2.37
 11,     UK0021,       0,  0.443684, 2459442.583324157633, 317.40622, -19.35050,              212.69785,  13.91737,       212.68883,       13.91517,    317.40622,     -19.35050,     317.41587,      -19.35573,  4236556.10,  -838270.06,  4799416.10,      48.206566,       -5.878125,   90083.35,  339578.70,   29271.74,            29371.06,    19.42,  66926.44,           66123.77,      8.99,     52.75,          32.50,  +0.26,  -2.39
 12,     UK0021,       0,  0.484008, 2459442.583324624225, 317.16626, -19.66754,              212.79610,  13.53979,       212.78840,       13.53791,    317.16626,     -19.66754,     317.17496,      -19.67202,  4236184.93,  -839749.32,  4797161.77,      48.193747,       -5.898502,   88351.48,  341026.49,   31993.51,            32092.83,    40.83,  67497.31,           66259.46,      7.72,     45.31,          27.80,  +0.36,  -2.30
 13,     UK0021,       0,  0.524328, 2459442.583325090818, 316.92001, -19.98320,              212.89925,  13.16134,       212.88815,       13.15863,    316.92001,     -19.98320,     316.93184,      -19.98967,  4235808.57,  -841249.25,  4794875.97,      48.180739,       -5.919161,   86596.10,  342510.34,   34753.28,            34852.60,   100.51,  68446.73,           66407.22,     11.18,     65.63,          40.09,  +0.26,  -2.41
  0,     UK003E,       0,  0.073969, 2459442.583319891244, 310.19056, -17.76966,              221.21219,  11.46618,       221.22124,       11.46740,    310.19056,     -17.76966,     310.18303,      -17.76473,  4239893.62,  -824968.86,  4819686.39,      48.321364,       -5.694910,  105685.71,  454081.65,       0.00,             4897.70,   304.50,      0.00,           62751.10,     -2.32,    -70.90,          32.22,  +1.37,  -1.92
  1,     UK003E,       0,  0.114189, 2459442.583320356905, 310.05730, -17.98478,              221.23394,  11.21738,       221.25710,       11.22051,    310.05730,     -17.98478,     310.03768,      -17.97213,  4239566.71,  -826271.71,  4817700.92,      48.310157,       -5.712871,  104155.10,  455446.32,    2397.15,             7294.85,     8.27,  59600.98,           62751.10,     -6.00,   -182.13,          82.53,  +0.81,  -2.48
  2,     UK003E,       0,  0.154409, 2459442.583320822567, 309.92473, -18.19649,              221.25623,  10.97197,       221.29243,       10.97687,    309.92473,     -18.19649,     309.89391,      -18.17667,  4239242.19,  -827565.02,  4815729.98,      48.299023,       -5.730701,  102636.19,  456809.54,    4776.77,             9674.48,  -305.50,  59165.16,           62751.10,     -9.49,   -285.84,         129.14,  +0.55,  -2.75
  3,     UK003E,       0,  0.194669, 2459442.583321288228, 309.72743, -18.42291,              221.32796,  10.68669,       221.33408,       10.68751,    309.72743,     -18.42291,     309.72292,      -18.41956,  4238854.17,  -829111.42,  4813373.36,      48.285701,       -5.751989,  100820.73,  458449.01,    7622.04,            12519.75,  -156.30,  70672.35,           62751.10,     -1.58,    -48.48,          21.82,  +0.27,  -3.04
  4,     UK003E,       0,  0.234961, 2459442.583321754821, 309.52601, -18.69234,              221.38353,  10.36100,       221.38086,       10.36064,    309.52601,     -18.69234,     309.52933,      -18.69381,  4238412.45,  -830871.85,  4810690.56,      48.270521,       -5.776202,   98754.89,  460328.75,   10861.12,            15758.82,   384.57,  80390.07,           66957.22,      0.69,     21.33,           9.56,  +0.47,  -2.85
  5,     UK003E,       0,  0.275161, 2459442.583322220016, 309.37940, -18.87448,              221.42969,  10.13656,       221.41355,       10.13439,    309.37940,     -18.87448,     309.39466,      -18.88337,  4238104.66,  -832098.50,  4808821.21,      48.259935,       -5.793124,   97315.95,  461649.79,   13118.09,            18015.79,   -50.51,  56143.55,           66614.66,      4.14,    129.14,          57.73,  +1.27,  -2.05
  6,     UK003E,       0,  0.315421, 2459442.583322686143, 309.21163, -19.12445,              221.46357,   9.84239,       221.45546,        9.84130,    309.21163,     -19.12445,     309.22006,      -19.12893,  4237703.21,  -833698.41,  4806383.03,      48.246118,       -5.815145,   95439.87,  463381.46,   16061.83,            20959.53,   197.16,  73118.10,           67189.37,      2.10,     65.20,          29.04,  -0.30,  -3.63
  7,     UK003E,       0,  0.355633, 2459442.583323151339, 309.04624, -19.30482,              221.52582,   9.61182,       221.48916,        9.60690,    309.04624,     -19.30482,     309.07986,      -19.32509,  4237380.05,  -834986.33,  4804420.31,      48.234985,       -5.832905,   93930.18,  464785.83,   18431.51,            23329.22,  -126.00,  58929.89,           66741.12,      9.33,    295.73,         131.31,  +0.28,  -3.06

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.