Orbital Analysis for matched events on 20211103_000148.139_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 41.12° Bg -26.59° Vg 9.82km/s
mass 0.06917g, abs. mag 1.4
best visual mag 1.0
Path Details
------------
start -0.84° 53.37° 78.74km
end   -0.84° 53.39° 76.76km

Orbit Details
-------------
Semimajor axis 1.13A.U., eccentricity 0.31, inclination 8.35°, Period 1.19Y, LA Sun 220.49°, last Perihelion 2020-10-24

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: 2459521.501251617912
Time: 2021-11-03 00:01:48.155519 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002Z
 Convergence angle = 71.66332 deg
 R.A. =  48.08083  Dec =  +2.45405 deg

Best intersection: Stations UK000Z and UK002Z with Qconv = 71.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2865308.88 +/- 30.80 m
 Y =   2587684.75 +/- 25.51 m
 Z =   5158517.01 +/- 22.85 m
 Vx =    10228.51 +/- 115.98 m/s
 Vy =    10745.34 +/- 111.44 m/s
 Vz =      320.66 +/- 162.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.865501e+02, +7.101823e+02, +1.019996e+02, +1.411559e+03, +1.268904e+01, +1.494116e+03
+7.101823e+02, +8.349757e+02, +4.017267e+02, +7.741278e+02, +1.495767e+03, +3.319639e+03
+1.019996e+02, +4.017267e+02, +6.113922e+02, +5.018660e+02, +1.848414e+03, +4.220958e+03
+1.411559e+03, +7.741278e+02, +5.018660e+02, +3.643474e+03, -3.371156e+02, +4.376655e+03
+1.268904e+01, +1.495767e+03, +1.848414e+03, -3.371156e+02, +8.904223e+03, +1.400703e+04
+1.494116e+03, +3.319639e+03, +4.220958e+03, +4.376655e+03, +1.400703e+04, +3.233058e+04

Timing offsets (from input data):
    UK000Z: -0.000385 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 00:01:48.155519 UTC
  Lon     = +-0.839053 +/- 0.0002 deg
  Lat     = +53.369521 +/- 0.0003 deg
  Lat geo = +53.187333 +/- 0.0003 deg
  Ht      =   78868.68 +/- 31.99 m

  JD dynamic   = 2459521.502052540891 
  LST apparent = 42.0854599797 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.41159 +/- 0.3452 deg
  Dec       =  +1.23824 +/- 0.6207 deg
  Azimuth   = 174.52716 +/- 0.4647 deg
  Elevation = +37.74547 +/- 0.6116 deg
  Vavg      =  14.58876 +/- 0.0753 km/s
  Vinit     =  14.83872 +/- 0.0714 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.49414 +/- 0.3452 deg
  Dec       =  +1.23625 +/- 0.6207 deg
  Azimuth   = 173.16204 +/- 0.4647 deg
  Elevation = +37.67422 +/- 0.6116 deg
  Vavg      =  14.61265 +/- 0.0753 km/s
  Vinit     =  14.86260 +/- 0.0714 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.80405 +/- 0.3892 deg
  Dec    = -10.17761 +/- 0.9148 deg
  Vg     =   9.82170 +/- 0.1067 km/s
  Vinf   =  14.83872 +/- 0.0714 km/s
  Zc     =  52.07318 +/- 0.6115 deg
  Zg     =  63.42483 +/- 0.9044 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  41.11607 +/- 0.5839 deg
  Bg     = -26.58507 +/- 0.8389 deg
  Vh     =  31.62787 +/- 0.0680 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 327.60524 +/- 0.3125 deg
  Bh     =  -7.98822 +/- 0.1615 deg
  Vh_x   = -26.44671 +/- 0.0838 km/s
  Vh_y   =  16.78020 +/- 0.1624 km/s
  Vh_z   =   4.39531 +/- 0.0913 km/s
Orbit:
  La Sun = 220.487545 +/- -0.0000 deg
  a      =   1.125848 +/- 0.0061 AU
  e      =   0.312824 +/- 0.0042
  i      =   8.353154 +/- 0.1570 deg
  peri   =  85.649668 +/- 1.2622 deg
  node   =  40.492445 +/- 0.0001 deg
  Pi     = 126.142113 +/- 1.2623 deg
  q      =   0.773655 +/- 0.0071 AU
  f      = 274.345959 +/- 1.2623 deg
  M      = 308.891094 +/- 0.8097 deg
  Q      =   1.478041 +/- 0.0083 AU
  n      =   0.825058 +/- 0.0068 deg/day
  T      =   1.194594 +/- 0.0098 years
  Last perihelion JD = 2459147.114833 (2020-10-24 14:45:21.535081) +/- 4.0350 days
  Tj     =   5.496699 +/- 0.0226
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.409590e-05, -3.346971e-05, +6.437413e-03, +4.138045e-07, +4.884087e-03, -7.456599e-04
q   , -3.346971e-05, +5.894084e-05, -2.105382e-02, -5.921072e-07, -9.705492e-03, +1.064754e-03
Tp  , +6.437413e-03, -2.105382e-02, +1.350266e+01, +1.271470e-04, +4.146800e+00, -2.269994e-01
node, +4.138045e-07, -5.921072e-07, +1.271470e-04, +8.386518e-09, +8.773490e-05, -1.500571e-05
peri, +4.884087e-03, -9.705492e-03, +4.146800e+00, +8.773490e-05, +1.675499e+00, -1.576034e-01
i   , -7.456599e-04, +1.064754e-03, -2.269994e-01, -1.500571e-05, -1.576034e-01, +2.686185e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 82.721060

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 2.817e-06 s
  Stddev    = 1.68e-03 s

Begin point on the trajectory:
  Lon =    -0.839287 +/- 0.0002 deg
  Lat =    53.370984 +/- 0.0001 deg
  Ht  = 78740.55 +/- 19.18 m
End point on the trajectory:
  Lon =    -0.843844 +/- 0.0001 deg
  Lat =    53.393552 +/- 0.0000 deg
  Ht  = 76764.04 +/- 22.46 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000268,  52.824897,    78740.55,    76944.02,          0.009094,     12.67,     10.69,              73.22, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20211103_000141_639_0617472.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.014496,  35.371147,    78548.62,    76764.04,          0.017546,     26.06,      1.77,              44.97, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211103_000148_705_0626688.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,     UK000Z,       0,  0.015560, 2459521.501251799986, 113.40935,  52.51171,               60.47334,  48.23708,        60.48022,       48.23187,    113.40935,     +52.51171,     113.41291,      +52.50511,  2865164.60,  2587533.18,  5158512.49,      53.370984,       -0.839287,   78740.55,  104755.69,       0.00,              209.31,    17.32,      0.00,           14721.75,      8.18,      9.70,          24.99,  +2.79,  +2.69
  1,     UK000Z,       0,  0.055676, 2459521.501252264250, 113.87255,  52.60851,               60.13243,  48.04495,        60.14092,       48.03856,    113.87255,     +52.60851,     113.87702,      +52.60035,  2864776.56,  2587125.54,  5158500.32,      53.374917,       -0.840085,   78395.96,  104607.08,     562.94,              772.25,   -15.02,  14032.76,           14721.75,     10.07,     11.94,          30.79,  +1.86,  +1.76
  2,     UK000Z,       0,  0.095808, 2459521.501252728514, 114.39654,  52.71839,               59.74769,  47.82900,        59.76152,       47.81864,    114.39654,     +52.71839,     114.40369,      +52.70509,  2864339.83,  2586666.74,  5158486.63,      53.379344,       -0.840962,   78008.16,  104444.03,    1196.51,             1405.82,    23.04,  15787.10,           14721.75,     16.36,     19.39,          50.10,  +1.28,  +1.19
  3,     UK000Z,       0,  0.135944, 2459521.501253193244, 114.87844,  52.78586,               59.43780,  47.61414,        59.42648,       47.62259,    114.87844,     +52.78586,     114.87360,      +52.79676,  2863952.78,  2586260.13,  5158474.50,      53.383268,       -0.841759,   77664.48,  104301.77,    1758.01,             1967.32,   -11.02,  13990.03,           14721.75,    -13.36,    -15.83,          40.97,  +1.80,  +1.71
  4,     UK000Z,       0,  0.176072, 2459521.501253657509, 115.38599,  52.88828,               59.07265,  47.40519,        59.06732,       47.40915,    115.38599,     +52.88828,     115.38423,      +52.89343,  2863535.36,  2585821.62,  5158461.41,      53.387500,       -0.842605,   77293.86,  104152.06,    2363.57,             2572.88,    -0.91,  15090.68,           14757.86,     -6.28,     -7.44,          19.28,  +1.89,  +1.80
  5,     UK000Z,       0,  0.216192, 2459521.501254121773, 115.87078,  52.97856,               58.73455,  47.20279,        58.72977,       47.20631,    115.87078,     +52.97856,     115.86950,      +52.98317,  2863141.34,  2585407.69,  5158449.06,      53.391496,       -0.843413,   76944.02,  104013.40,    2935.19,             3144.50,   -24.62,  14247.68,           14695.31,     -5.61,     -6.65,          17.26,  +2.46,  +2.37
  6,     UK000Z,       1,  0.256304, 2459521.501254586037, 116.23892,  53.01505,               58.51856,  47.03301,        58.48369,       47.05868,    116.23892,     +53.01505,     116.22433,      +53.04873,  2862854.32,  2585106.17,  5158440.06,      53.394407,       -0.844048,   76689.18,  103912.47,    3351.56,             3560.87,  -203.45,  10380.37,           14210.86,    -40.91,    -48.47,         125.90,  +5.18,  +5.10
  0,     UK002Z,       1,  0.000000, 2459521.501251617912,  16.13516,  36.96848,              238.45495,  65.35839,       238.44752,       65.39026,     16.13516,     +36.96848,      16.16345,      +36.99117,  2865320.51,  2587696.97,  5158517.38,      53.369404,       -0.838969,   78879.01,   86613.23,       0.00,               16.87,    55.77,      0.00,           14832.69,      3.27,     48.30,         115.28,  +5.11,  +5.42
  1,     UK002Z,       0,  0.040048, 2459521.501252081245,  15.93184,  37.17190,              239.06627,  65.41191,       239.06710,       65.40801,     15.93184,     +37.17190,      15.92854,      +37.16912,  2864948.47,  2587306.14,  5158505.71,      53.373174,       -0.839740,   78548.62,   86238.71,     539.72,              522.85,   -32.52,  13476.89,           14832.69,     -0.40,     -5.89,          14.11,  +1.54,  +1.86
  2,     UK002Z,       0,  0.080116, 2459521.501252545044,  15.67945,  37.39974,              239.78862,  65.45725,       239.79426,       65.42657,     15.67945,     +37.39974,      15.65257,      +37.37785,  2864515.59,  2586851.39,  5158492.14,      53.377562,       -0.840610,   78164.23,   85804.51,    1167.70,             1150.83,     0.90,  15672.90,           14832.69,     -3.15,    -45.98,         110.78,  +1.30,  +1.63
  3,     UK002Z,       0,  0.120212, 2459521.501253009308,  15.39297,  37.58870,              240.50011,  65.45325,       240.50202,       65.44102,     15.39297,     +37.58870,      15.38264,      +37.57996,  2864099.16,  2586413.91,  5158479.09,      53.381784,       -0.841455,   77794.46,   85389.23,    1771.83,             1754.96,    10.06,  15067.05,           14832.69,     -1.24,    -18.22,          44.13,  +0.97,  +1.31
  4,     UK002Z,       0,  0.160304, 2459521.501253473107,  15.12471,  37.77135,              241.17424,  65.45194,       241.17432,       65.45131,     15.12471,     +37.77135,      15.12483,      +37.77090,  2863707.97,  2586002.96,  5158466.82,      53.385750,       -0.842258,   77447.12,   85001.43,    2339.34,             2322.46,   -17.35,  14155.02,           14748.52,     -0.06,     -0.93,           2.25,  +1.47,  +1.82
  5,     UK002Z,       0,  0.200416, 2459521.501253937371,  14.80717,  37.96823,              241.93989,  65.43357,       241.93727,       65.46014,     14.80717,     +37.96823,      14.83147,      +37.98733,  2863268.00,  2585540.76,  5158453.03,      53.390211,       -0.843141,   77056.49,   84567.19,    2977.61,             2960.74,    25.71,  15912.31,           14890.90,      2.64,     39.16,          95.73,  +2.08,  +2.44
  6,     UK002Z,       0,  0.240472, 2459521.501254401170,  14.60100,  38.14603,              242.51642,  65.45750,       242.51602,       65.46271,     14.60100,     +38.14603,      14.60660,      +38.14979,  2862938.62,  2585194.73,  5158442.70,      53.393552,       -0.843844,   76764.04,   84244.80,    3455.46,             3438.58,   -90.82,  11929.43,           14624.64,      0.52,      7.65,          18.77,  +2.61,  +2.98
  7,     UK002Z,       1,  0.280472, 2459521.501254864037,  14.48457,  38.33780,              242.99061,  65.53788,       242.99532,       65.46207,     14.48457,     +38.33780,      14.41871,      +38.28317,  2862668.61,  2584911.08,  5158434.24,      53.396290,       -0.844450,   76524.30,   83982.35,    3847.16,             3830.28,  -292.67,   9792.59,           14111.95,     -7.63,   -110.89,         273.00,  +5.82,  +6.20

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.