Orbital Analysis for matched events on 20210810_022351.346_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 44.25° Bg 34.22° Vg 46.34km/s
mass 0.02219g, abs. mag 0.2
Path Details
------------
start -2.96° 50.40° 89.04km
end   -3.06° 50.39° 73.62km

Orbit Details
-------------
Semimajor axis 0.90A.U., eccentricity 0.15, inclination 108.79°, Period 0.85Y, LA Sun 137.40°, last Perihelion 2021-02-01

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: 2459436.599899841938
Time: 2021-08-10 02:23:51.346343 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK0025
 Convergence angle = 32.36477 deg
 R.A. =  27.43384  Dec = +48.17518 deg

Best intersection: Stations UK000H and UK0025 with Qconv = 32.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4087906.54 +/- 92.05 m
 Y =   -589710.86 +/- 19.41 m
 Z =   4960123.90 +/- 36.49 m
 Vx =    28141.21 +/- 517.58 m/s
 Vy =    14446.41 +/- 338.05 m/s
 Vz =    35643.32 +/- 498.47 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.239562e+03, -1.371869e+03, +3.494642e+03, +2.306158e+04, -1.371179e+04, -3.640478e+03
-1.371869e+03, +3.863463e+02, -4.565415e+02, -6.563231e+03, +1.329771e+03, -3.013394e+03
+3.494642e+03, -4.565415e+02, +1.408992e+03, +6.375553e+03, -5.922033e+03, -3.803150e+03
+2.306158e+04, -6.563231e+03, +6.375553e+03, +2.061534e+05, +9.529075e+03, +1.513413e+05
-1.371179e+04, +1.329771e+03, -5.922033e+03, +9.529075e+03, +3.968152e+04, +5.838563e+04
-3.640478e+03, -3.013394e+03, -3.803150e+03, +1.513413e+05, +5.838563e+04, +1.860689e+05

Timing offsets (from input data):
    UK000H: -0.000632 s
    UK0025: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:23:51.346343 UTC
  Lon     = +-2.964317 +/- 0.0002 deg
  Lat     = +50.402866 +/- 0.0004 deg
  Lat geo = +50.216346 +/- 0.0004 deg
  Ht      =   89044.13 +/- 86.80 m

  JD dynamic   = 2459436.600700582843 
  LST apparent = 351.7912875784 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  27.17388 +/- 0.4386 deg
  Dec       = +48.41163 +/- 0.1752 deg
  Azimuth   =  81.16805 +/- 0.6710 deg
  Elevation = +67.11022 +/- 0.2258 deg
  Vavg      =  46.43474 +/- 0.1999 km/s
  Vinit     =  47.65577 +/- 0.5363 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  27.61620 +/- 0.4386 deg
  Dec       = +48.25434 +/- 0.1752 deg
  Azimuth   =  81.30873 +/- 0.6710 deg
  Elevation = +66.78133 +/- 0.2258 deg
  Vavg      =  46.55130 +/- 0.1999 km/s
  Vinit     =  47.77234 +/- 0.5363 km/s
Radiant (geocentric, J2000):
  R.A.   =  27.29937 +/- 0.4457 deg
  Dec    = +48.20401 +/- 0.1762 deg
  Vg     =  46.34184 +/- 0.5509 km/s
  Vinf   =  47.65577 +/- 0.5363 km/s
  Zc     =  22.91912 +/- 0.2278 deg
  Zg     =  23.24383 +/- 0.2325 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  44.25215 +/- 0.4119 deg
  Bg     = +34.22397 +/- 0.0660 deg
  Vh     =  27.63650 +/- 0.4607 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  32.30580 +/- 1.5832 deg
  Bh     = +70.58594 +/- 0.6261 deg
  Vh_x   =  -7.76422 +/- 0.4043 km/s
  Vh_y   =  -4.90944 +/- 0.3384 km/s
  Vh_z   = -26.06512 +/- 0.3264 km/s
Orbit:
  La Sun = 137.404982 +/- 0.0000 deg
  a      =   0.899314 +/- 0.0268 AU
  e      =   0.153534 +/- 0.0165
  i      = 108.791576 +/- 0.6214 deg
  peri   = 330.609511 +/- 11.9700 deg
  node   = 137.405276 +/- 0.0000 deg
  Pi     = 108.014786 +/- 11.9701 deg
  q      =   0.761238 +/- 0.0381 AU
  f      = 209.386941 +/- 11.9700 deg
  M      = 218.964321 +/- 12.3558 deg
  Q      =   1.037389 +/- 0.0175 AU
  n      =   1.155680 +/- 0.0450 deg/day
  T      =   0.852840 +/- 0.0392 years
  Last perihelion JD = 2459247.132616 (2021-02-01 15:10:57.995586) +/- 21.3120 days
  Tj     =   5.522294 +/- 0.1675
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.133331e-04, -7.078483e-04, +3.550124e-01, +1.242610e-08, +3.448804e-03, -1.874070e-04
q   , -7.078483e-04, +1.706286e-03, -9.228055e-01, -3.125852e-08, -9.023004e-03, +4.712936e-04
Tp  , +3.550124e-01, -9.228055e-01, +5.385059e+02, +1.767965e-05, +5.297884e+00, -2.665001e-01
node, +1.242610e-08, -3.125852e-08, +1.767965e-05, +6.069546e-13, +1.734799e-07, -9.152916e-09
peri, +3.448804e-03, -9.023004e-03, +5.297884e+00, +1.734799e-07, +5.215269e-02, -2.615036e-03
i   , -1.874070e-04, +4.712936e-04, -2.665001e-01, -9.152916e-09, -2.615036e-03, +1.380297e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.118193
 a2 = 22.953719

Mean time residuals from time vs. length:
  Station with reference time: UK0025
  Avg. res. = 6.047e-07 s
  Stddev    = 7.78e-04 s

Begin point on the trajectory:
  Lon =    -2.964332 +/- 0.0001 deg
  Lat =    50.402864 +/- 0.0004 deg
  Ht  = 89041.61 +/- 85.93 m
End point on the trajectory:
  Lon =    -3.055296 +/- 0.0003 deg
  Lat =    50.393945 +/- 0.0003 deg
  Ht  = 73621.57 +/- 21.51 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,   0.123021,  22.844539,    83782.97,    73621.57,          0.010624,     14.34,     19.16,              68.84, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_022343_316_0547328.fits"}
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,  91.695389,    89041.61,    78448.85,          0.007273,     11.61,      4.78,              40.32, 1.0000,    True,    True, {"ff_name": "FF_UK0025_20210810_022343_975_0542720.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,       1,  0.076679, 2459436.599900736939, 309.81410,  14.77242,              239.73063,  40.01420,       239.73225,       40.01439,    309.81410,     +14.77242,     309.81348,      +14.77328,  4085554.83,  -590918.12,  4957145.26,      50.400754,       -2.985885,   85375.35,  131528.50,       0.00,             3982.50,   325.54,      0.00,           44882.57,      2.31,     -1.73,           4.52,  +4.18,  +3.58
  1,     UK000H,       0,  0.117223, 2459436.599901205860, 309.29881,  14.25738,              239.88882,  39.30760,       239.88049,       39.30659,    309.29881,     +14.25738,     309.30421,      +14.25291,  4084534.06,  -591442.14,  4955852.36,      50.399836,       -2.995283,   83782.97,  130974.15,    1728.64,             5711.13,   122.02,  42636.03,           44882.57,    -11.93,      8.93,          23.47,  +1.12,  +0.53
  2,     UK000H,       0,  0.157811, 2459436.599901675712, 308.77662,  13.68963,              240.01617,  38.55308,       240.03441,       38.55530,    308.77662,     +13.68963,     308.76644,      +13.69948,  4083459.82,  -591993.60,  4954491.75,      50.398868,       -3.005169,   82107.27,  130412.68,    3547.80,             7530.29,     6.92,  44820.17,           44882.57,     26.29,    -19.69,          51.95,  +0.36,  -0.22
  3,     UK000H,       0,  0.198419, 2459436.599902145565, 308.20206,  13.10538,              240.18586,  37.75562,       240.19433,       37.75665,    308.20206,     +13.10538,     308.19780,      +13.11000,  4082327.81,  -592574.72,  4953057.96,      50.397846,       -3.015582,   80341.51,  129845.67,    5464.80,             9447.30,   -11.28,  47207.54,           44882.57,     12.30,     -9.21,          24.40,  +0.22,  -0.35
  4,     UK000H,       0,  0.239031, 2459436.599902615882, 307.63412,  12.51564,              240.34501,  36.95657,       240.35097,       36.95729,    307.63412,     +12.51564,     307.63151,      +12.51891,  4081204.71,  -593151.27,  4951635.45,      50.396831,       -3.025920,   78589.70,  129308.93,    7366.72,            11349.22,   -44.75,  46831.55,           45503.18,      8.70,     -6.51,          17.33,  +0.28,  -0.28
  5,     UK000H,       0,  0.279671, 2459436.599903086200, 307.03934,  11.89864,              240.51225,  36.11957,       240.51149,       36.11947,    307.03934,     +11.89864,     307.04097,      +11.89822,  4080037.39,  -593750.52,  4950156.93,      50.395775,       -3.036664,   76769.01,  128778.28,    9343.52,            13326.02,    -4.68,  48641.74,           46129.35,     -1.11,      0.83,           2.22,  +0.55,  +0.00
  6,     UK000H,       0,  0.320211, 2459436.599903555587, 306.51922,  11.37606,              240.67017,  35.40111,       240.64732,       35.39834,    306.51922,     +11.37606,     306.53470,      +11.36331,  4079040.89,  -594262.08,  4948894.78,      50.394872,       -3.045864,   75214.80,  128348.95,   11031.05,            15013.54,  -249.12,  41626.17,           45871.04,    -33.78,     25.27,          67.80,  +1.34,  +0.80
  7,     UK000H,       0,  0.360779, 2459436.599904024974, 306.00478,  10.81769,              240.79779,  34.65565,       240.78488,       34.65409,    306.00478,     +10.81769,     306.01434,      +10.81044,  4078019.34,  -594786.50,  4947600.90,      50.393945,       -3.055296,   73621.57,  127930.35,   12760.99,            16743.49,  -452.47,  42643.11,           45494.61,    -19.19,     14.35,          38.64,  +2.97,  +2.44
  0,     UK0025,       0,  0.000000, 2459436.599899841938, 351.18453,  19.78232,              181.13197,  58.90107,       181.12508,       58.89848,    351.18453,     +19.78232,     351.18828,      +19.77969,  4087904.92,  -589711.69,  4960121.85,      50.402864,       -2.964332,   89041.61,  103634.88,       0.00,                2.74,    -0.00,      0.00,           48028.00,     -3.03,      7.36,          15.85,  +2.07,  +1.99
  1,     UK0025,       0,  0.040244, 2459436.599900307599, 350.76302,  19.25788,              181.87745,  58.36972,       181.87093,       58.36729,    350.76302,     +19.25788,     350.76675,      +19.25538,  4086847.26,  -590254.65,  4958782.23,      50.401915,       -2.974052,   87391.56,  102283.15,    1791.10,             1793.84,  -126.76,  44506.07,           48028.00,     -2.85,      6.92,          15.09,  +1.19,  +1.14
  2,     UK0025,       0,  0.080516, 2459436.599900773726, 350.30973,  18.67722,              182.65882,  57.77794,       182.66310,       57.77952,    350.30973,     +18.67722,     350.30771,      +18.67887,  4085717.65,  -590834.54,  4957351.48,      50.400900,       -2.984427,   85629.33,  100854.75,    3704.03,             3706.77,  -133.02,  47500.27,           48028.00,      1.86,     -4.52,           9.99,  +0.80,  +0.78
  3,     UK0025,       0,  0.120832, 2459436.599901240319, 349.80045,  18.01714,              183.51255,  57.10097,       183.52946,       57.10716,    349.80045,     +18.01714,     349.79156,      +18.02370,  4084473.87,  -591473.03,  4955776.13,      50.399781,       -2.995839,   83689.09,   99300.99,    5810.31,             5813.05,    51.96,  52244.19,           48028.00,      7.32,    -17.76,          39.89,  +0.84,  +0.86
  4,     UK0025,       0,  0.161124, 2459436.599901706912, 349.32560,  17.40495,              184.28715,  56.46902,       184.30843,       56.47675,    349.32560,     +17.40495,     349.31437,      +17.41326,  4083351.04,  -592049.44,  4954353.97,      50.398769,       -3.006164,   81937.58,   97916.26,    7711.77,             7714.51,    33.28,  47191.95,           48265.05,      9.16,    -22.23,          50.65,  +1.13,  +1.18
  5,     UK0025,       0,  0.201408, 2459436.599902173039, 348.82845,  16.79025,              185.07949,  55.82960,       185.07697,       55.82869,    348.82845,     +16.79025,     348.83071,      +16.78927,  4082237.05,  -592621.32,  4952942.99,      50.397764,       -3.016414,   80199.92,   96559.98,    9598.27,             9601.01,     0.01,  46830.00,           48127.73,     -1.08,      2.61,           6.04,  +1.69,  +1.77
  6,     UK0025,       0,  0.241724, 2459436.599902639631, 348.33305,  16.14054,              185.84460,  55.15140,       185.84673,       55.15217,    348.33305,     +16.14054,     348.33285,      +16.14139,  4081114.41,  -593197.63,  4951521.07,      50.396750,       -3.026746,   78448.85,   95211.62,   11499.40,            11502.15,   -20.14,  47155.90,           47974.49,      0.91,     -2.20,           5.16,  +2.70,  +2.81
  7,     UK0025,       1,  0.281988, 2459436.599903105758, 348.10162,  15.69334,              186.17747,  54.68997,       186.30878,       54.73677,    348.10162,     +15.69334,     348.02767,      +15.74544,  4080444.57,  -593541.49,  4950672.67,      50.396144,       -3.032982,   77404.05,   94416.52,   12633.73,            12636.47,  -804.63,  28172.29,           46261.54,     55.78,   -135.88,         320.88,  +7.67,  +7.79

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.