Orbital Analysis for matched events on 20210813_225134.920_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.45° Bg 37.12° Vg 58.33km/s
mass 0.01476g, abs. mag 0.3
Path Details
------------
start -1.47° 54.07° 109.14km
end   -1.62° 53.96° 97.58km

Orbit Details
-------------
Semimajor axis 6.26A.U., eccentricity 0.85, inclination 113.98°, Period 15.67Y, LA Sun 141.10°, last Perihelion 2021-07-19

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: 2459440.452487505972
Time: 2021-08-13 22:51:34.920516 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Y and UK002Z
 Convergence angle = 14.51994 deg
 R.A. =  51.80223  Dec = +57.89881 deg

Best intersection: Stations UK000Y and UK002Z with Qconv = 14.52 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2134342.05 +/- 15.03 m
 Y =  -3162435.81 +/- 86.82 m
 Z =   5229521.52 +/- 430.10 m
 Vx =    19533.91 +/- 997.61 m/s
 Vy =    24865.96 +/- 930.00 m/s
 Vz =    50252.72 +/- 1554.06 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.980323e+02, +2.714030e+02, +1.565799e+03, +1.106577e+02, -5.686362e+02, -1.396598e+02
+2.714030e+02, +3.085843e+03, +1.586369e+04, -8.538582e+03, -9.390061e+02, +2.855134e+04
+1.565799e+03, +1.586369e+04, +8.507109e+04, -4.676056e+04, -6.614506e+03, +1.601551e+05
+1.106577e+02, -8.538582e+03, -4.676056e+04, +5.635556e+04, +2.463833e+04, -1.015032e+05
-5.686362e+02, -9.390061e+02, -6.614506e+03, +2.463833e+04, +3.207501e+04, +3.873630e+04
-1.396598e+02, +2.855134e+04, +1.601551e+05, -1.015032e+05, +3.873630e+04, +6.200629e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK002Z: 0.001078 s

Reference point on the trajectory:
  Time: 2021-08-13 22:51:34.920516 UTC
  Lon     = +-1.468776 +/- 0.0008 deg
  Lat     = +54.066707 +/- 0.0027 deg
  Lat geo = +53.886737 +/- 0.0027 deg
  Ht      =  109147.56 +/- 309.63 m

  JD dynamic   = 2459440.453288246877 
  LST apparent = 304.0155893941 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  51.84795 +/- 0.4021 deg
  Dec       = +57.82025 +/- 0.6890 deg
  Azimuth   =  38.88088 +/- 0.7724 deg
  Elevation = +36.12905 +/- 0.3624 deg
  Vavg      =  57.92652 +/- 0.9501 km/s
  Vinit     =  59.37361 +/- 1.3876 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.69485 +/- 0.4021 deg
  Dec       = +57.60435 +/- 0.6890 deg
  Azimuth   =  39.13870 +/- 0.7724 deg
  Elevation = +36.02965 +/- 0.3624 deg
  Vavg      =  58.06806 +/- 0.9501 km/s
  Vinit     =  59.51514 +/- 1.3876 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.09100 +/- 0.3799 deg
  Dec    = +57.37083 +/- 0.7080 deg
  Vg     =  58.32733 +/- 1.4113 km/s
  Vinf   =  59.37361 +/- 1.3876 km/s
  Zc     =  54.01113 +/- 0.3609 deg
  Zg     =  54.53027 +/- 0.3849 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.45088 +/- 0.5096 deg
  Bg     = +37.11957 +/- 0.6150 deg
  Vh     =  40.12132 +/- 1.5697 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.69953 +/- 0.7176 deg
  Bh     = +61.32204 +/- 0.3183 deg
  Vh_x   =  -1.10848 +/- 0.2381 km/s
  Vh_y   = -19.22173 +/- 0.8644 km/s
  Vh_z   = -35.19967 +/- 1.3320 km/s
Orbit:
  La Sun = 141.103182 +/- 0.0000 deg
  a      =   6.262085 +/- 37.5687 AU
  e      =   0.851946 +/- 0.1372
  i      = 113.977858 +/- 0.4251 deg
  peri   = 144.643992 +/- 2.0903 deg
  node   = 141.101774 +/- 0.0000 deg
  Pi     = 285.745765 +/- 2.0903 deg
  q      =   0.927127 +/- 0.0042 AU
  f      =  35.351899 +/- 2.0903 deg
  M      =   1.571733 +/- nan deg
  Q      =  11.597042 +/- 75.1380 AU
  n      =   0.062896 +/- 0.0377 deg/day
  T      =  15.670362 +/- 492512197.9813 years
  Last perihelion JD = 2459415.464046 (2021-07-19 23:08:13.564747) +/- 1.2588 days
  Tj     =   0.364234 +/- 0.7856
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.502220e-03, +1.370158e-04, +8.157728e-02, +1.275259e-08, +1.367719e-03, -1.601724e-04
q   , +1.370158e-04, +5.849100e-06, +2.699070e-03, -1.005562e-10, +4.787566e-05, +1.261967e-06
Tp  , +8.157728e-02, +2.699070e-03, +1.512348e+00, +1.806997e-07, +2.568564e-02, -2.270749e-03
node, +1.275259e-08, -1.005562e-10, +1.806997e-07, +3.087649e-13, +2.250153e-09, -3.881974e-09
peri, +1.367719e-03, +4.787566e-05, +2.568564e-02, +2.250153e-09, +4.402806e-04, -2.828160e-05
i   , -1.601724e-04, +1.261967e-06, -2.270749e-03, -3.881974e-09, -2.828160e-05, +4.880715e-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: UK000Y
  Avg. res. = 6.142e-06 s
  Stddev    = 2.48e-03 s

Begin point on the trajectory:
  Lon =    -1.468850 +/- 0.0008 deg
  Lat =    54.066654 +/- 0.0027 deg
  Ht  = 109141.84 +/- 305.79 m
End point on the trajectory:
  Lon =    -1.619733 +/- 0.0012 deg
  Lat =    53.957255 +/- 0.0005 deg
  Ht  = 97576.81 +/- 70.25 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
    UK000Y,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   109141.84,    98108.19,          0.006697,      8.47,     15.68,              23.46, 1.0000,    True,    True, {"ff_name": "FF_UK000Y_20210813_225127_671_0231936.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   107170.62,    97576.81,          0.016867,     10.06,     39.72,              62.71, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_225131_606_0237056.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,     UK000Y,       0,  0.000000, 2459440.452487505972,  88.29004,  78.55981,                9.10266,  43.34596,         9.09889,       43.33026,     88.29004,     +78.55981,      88.34003,      +78.54734,  2134338.86, -3162439.87,  5229513.32,      54.066654,       -1.468850,  109141.84,  157245.70,       0.00,                9.69,   249.22,      0.00,           57553.18,     38.46,     20.78,          57.35,  +3.07,  +2.09
  1,     UK000Y,       0,  0.040052, 2459440.452487969305,  89.61701,  78.74143,                8.66811,  43.38297,         8.66827,       43.38367,     89.61701,     +78.74143,      89.61500,      +78.74199,  2133647.50, -3163319.95,  5227734.72,      54.054980,       -1.485015,  107903.00,  155324.95,    2101.42,             2111.10,   -27.39,  52467.22,           57553.18,     -1.68,     -0.91,           2.54,  +1.91,  +0.95
  2,     UK000Y,       0,  0.080096, 2459440.452488433104,  91.17590,  78.96177,                8.16066,  43.44217,         8.16116,       43.44440,     91.17590,     +78.96177,      91.16933,      +78.96361,  2132854.85, -3164328.96,  5225695.57,      54.041587,       -1.503521,  106483.21,  153129.02,    4510.68,             4520.36,     4.31,  60165.27,           57553.18,     -5.32,     -2.88,           8.15,  +1.85,  +0.92
  3,     UK000Y,       0,  0.120140, 2459440.452488896437,  92.81250,  79.17715,                7.64649,  43.50082,         7.64708,       43.50356,     92.81250,     +79.17715,      92.80474,      +79.17944,  2132075.48, -3165321.07,  5223690.57,      54.028411,       -1.521715,  105087.75,  150976.36,    6879.58,             6889.27,    -4.34,  59157.64,           57553.18,     -6.42,     -3.47,           9.97,  +1.77,  +0.88
  4,     UK000Y,       0,  0.160180, 2459440.452489359770,  94.60338,  79.40080,                7.10080,  43.56624,         7.10030,       43.56383,     94.60338,     +79.40080,      94.61112,      +79.39874,  2131271.50, -3166344.50,  5221622.27,      54.014809,       -1.540475,  103648.82,  148762.84,    9323.28,             9332.96,    62.04,  61031.36,           58496.22,      5.56,      3.01,           8.77,  +1.78,  +0.92
  5,     UK000Y,       0,  0.200224, 2459440.452489823569,  96.31640,  79.59113,                6.60105,  43.61847,         6.60066,       43.61649,     96.31640,     +79.59113,      96.32287,      +79.58941,  2130559.44, -3167250.94,  5219790.41,      54.002755,       -1.557107,  102374.85,  146808.50,   11487.62,            11497.31,  -151.17,  54049.14,           58130.41,      4.51,      2.44,           7.20,  +1.65,  +0.82
  6,     UK000Y,       0,  0.240288, 2459440.452490286902,  98.53821,  79.80511,                5.98172,  43.67115,         5.98310,       43.67851,     98.53821,     +79.80511,      98.51924,      +79.81164,  2129704.65, -3168339.05,  5217591.40,      53.988276,       -1.577034,  100846.18,  144470.77,   14085.75,            14095.43,    68.21,  64849.36,           58720.02,    -16.46,     -8.91,          26.73,  +1.41,  +0.61
  7,     UK000Y,       0,  0.280336, 2459440.452490750700, 100.95285,  80.03892,                5.32232,  43.74833,         5.32105,       43.74117,    100.95285,     +80.03892,     100.97234,      +80.03243,  2128819.50, -3169465.82,  5215314.27,      53.973272,       -1.597658,   99263.90,  142059.75,   16776.19,            16785.87,   380.85,  67180.34,           59670.73,     15.74,      8.51,          25.98,  +1.02,  +0.26
  8,     UK000Y,       0,  0.320380, 2459440.452491214033, 102.88230,  80.19075,                4.82111,  43.79024,         4.82037,       43.78587,    102.88230,     +80.19075,     102.89423,      +80.18673,  2128172.74, -3170289.12,  5213650.42,      53.962302,       -1.612770,   98108.19,  140304.43,   18742.02,            18751.71,   -30.87,  49091.85,           59409.14,      9.49,      5.13,          15.86,  +1.54,  +0.80
  0,     UK002Z,       0,  0.059897, 2459440.452488177922, 227.61139,  57.77546,              308.21371,  48.50463,       308.23220,       48.47992,    227.61139,     +57.77546,     227.55996,      +57.77425,  2133238.66, -3163840.39,  5226682.95,      54.048073,       -1.494550,  107170.62,  142182.79,       0.00,             3353.77,    37.03,      0.00,           59614.69,     66.35,     16.78,          99.29,  +4.34,  +3.58
  1,     UK002Z,       0,  0.100453, 2459440.452488647308, 227.61836,  56.97477,              307.16073,  48.11647,       307.15926,       48.11837,    227.61836,     +56.97477,     227.62270,      +56.97486,  2132522.12, -3164752.51,  5224839.60,      54.035963,       -1.511295,  105887.40,  141259.80,    2177.92,             5531.69,  -193.01,  53701.53,           59614.69,     -5.12,     -1.30,           7.72,  +2.10,  +1.35
  2,     UK002Z,       0,  0.141169, 2459440.452489118557, 227.67126,  55.93215,              305.79478,  47.61819,       305.78327,       47.63267,    227.67126,     +55.93215,     227.70113,      +55.93284,  2131600.83, -3165925.29,  5222469.48,      54.020382,       -1.532773,  104238.16,  140112.40,    4978.22,             8331.99,   189.84,  68776.43,           59614.69,    -38.93,     -9.88,          59.12,  +1.83,  +1.10
  3,     UK002Z,       0,  0.181705, 2459440.452489587944, 227.78917,  55.11793,              304.71190,  47.25635,       304.72446,       47.24096,    227.78917,     +55.11793,     227.75918,      +55.11720,  2130890.64, -3166829.34,  5220642.45,      54.008363,       -1.549364,  102967.35,  139261.45,    7136.85,            10490.62,   -58.30,  53252.26,           59614.69,     41.47,     10.50,          63.36,  +1.97,  +1.25
  4,     UK002Z,       0,  0.222421, 2459440.452490059193, 227.82423,  54.08048,              303.40341,  46.72705,       303.40129,       46.72958,    227.82423,     +54.08048,     227.83011,      +54.08060,  2129999.40, -3167963.85,  5218349.66,      53.993270,       -1.570138,  101373.23,  138232.51,    9845.78,            13199.55,   233.17,  66532.20,           60672.37,     -6.82,     -1.73,          10.49,  +1.14,  +0.44
  5,     UK002Z,       0,  0.263013, 2459440.452490529045, 227.90649,  53.19760,              302.28481,  46.29210,       302.29371,       46.28176,    227.90649,     +53.19760,     227.88751,      +53.19713,  2129250.47, -3168917.21,  5216422.97,      53.980579,       -1.587618,  100034.20,  137404.39,   12122.17,            15475.94,    99.47,  56079.84,           60318.75,     27.96,      7.08,          43.30,  +1.12,  +0.43
  6,     UK002Z,       0,  0.303641, 2459440.452490999363, 227.97211,  52.27120,              301.13867,  45.81549,       301.15158,       45.80084,    227.97211,     +52.27120,     227.94530,      +52.27054,  2128474.28, -3169905.27,  5214426.15,      53.967417,       -1.605725,   98646.97,  136580.83,   14481.41,            17835.18,    46.48,  58069.17,           59951.43,     39.73,     10.06,          61.89,  +1.19,  +0.51
  7,     UK002Z,       0,  0.344133, 2459440.452491467819, 228.02219,  51.54798,              300.25725,  45.43595,       300.27393,       45.41736,    228.02219,     +51.54798,     227.98833,      +51.54715,  2127875.31, -3170667.74,  5212885.25,      53.957255,       -1.619733,   97576.81,  135971.52,   16301.99,            19655.76,  -537.10,  44961.49,           58553.82,     50.53,     12.79,          79.08,  +3.20,  +2.53

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.