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Corrected Magnitude

At first, the scheduler selects comets at each time depending on the magnitude, altitude, glow and moonlight. Here I define the corrected magnitudes for each comet at each time considering those conditions above, and if the corrected magnitude is fainter than the inputted limit of magnitude, the scheduler ignores the comet at the time.

The definition of the corrected magnitude tex2html_wrap_inline292 of comet i at time j is as follows:

  1. Magnitude of the comet

    displaymath276

  2. Altitude
    The influence by the air. It depends on the guide of ICQ( tex2html_wrap274 ). In fact, I double the influence because the higher the altitude is, the better it is to observe for anyone. By the way, when the comet is under the horizon, the corrected magnitude is tex2html_wrap_inline298 .

    displaymath277

    displaymath278

  3. Morning and evening glow
    It also considers morning and evening glow. The equation below is heuristic.

    displaymath279

    displaymath280

  4. Moonlight
    It also considers the influence of moonlight when the moon shines. You can command it to ignore the influence of the moonlight.

    At first, it calculates the corrected magnitude of the moon itself considering the rate of shining part k and the influence of the air depending on the altitude of the moon.

    displaymath281

    Then it yields the corrected magnitude of the comet depending on the distance tex2html_wrap_inline302 between the comet and the moon. For example, if a full moon locates overhead, it fades 5 mag when the comet is 5 deg from the moon, 4 mag when 12.5 deg from the moon.

    displaymath282

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Copyright(C) Seiichi Yoshida (comet@aerith.net). All rights reserved.
Tue Apr 15 03:17:05 JST 1997