Middle-East Journal of Scientific Research 21 (9): 1641-16, 2014
ISSN 1990-9233
© IDOSI Publications, 2014
DOI: 10.5829/idosi.mejsr.2014.21.09.21740
Corresponding Author: Ahmed Kamil Ahmed, School of Physics,
Universiti Sains Malaysia, 11800 USM Pulau Pinang, Malaysia.
1
Young Moon Visibility Criterion Based on
Crescent Illumination and Sky Brightness Contrast Model
Ahmed Kamil Ahmed and Abdul Halim Abdul Aziz
1 2
School of Physics, Universiti Sains Malaysia, 11800 USM Pulau Pinang, Malaysia
1
Department of Astronomy and Space, College of Science, University of Baghdad, Baghdad, Iraq
2
Abstract: The aim of this research is to present a new criterion for earliest crescent visibility based on the
brightness difference between the young crescent and its background sky at sunset. In this work, 141 and 52
of lunar crescent observations from Malaysia and Iran respectively has been studied and analyzed. The data
collected consisted of visible and non-visible observation data (naked eye and optically aided). The results
indicated that the Moon’s percentage illumination (or Moon’s phase) must be 0.52 % ± 0.10 % and
0.39 % ± 0.10 % for Malaysia and Iran respectively. The average sky brightness during sunset measured was
6.80 ± 1.13 magnitude/arcsecond .
2
Key words: Moon Visibility Crescent Illumination Sky Brightness
INTRODUCTION always is at the start with the lunar month. In addition,
After conjunction, the first lunar crescent visible to one evening to the next [3]. The physiological variations
the eye is called Hilal. The crescent sighting is used to of the observers’ eyesight also contribute to variability of
determine the beginning of new Islamic month [1]. the results. However, it is a requirement that the crescent
There are two approaches to determine the first visibility must eventually reach the human eye, whether aided or
of lunar crescent, empirical and theoretical. The empirical unaided.
approach is based on the selected observed parameters The contrast in the context of the first lunar crescent
such as the Moon’s age, altitude or elongation, etc. to visibility is defined as the ratio of two components, the
create a visibility criterion. The theoretical approach relies luminance of the lunar crescent and the brightness of the
on known physics to derive mathematical visibility models sky [4]. In particular, the first astrophysical model that
[2]. studied the earliest visibility of new lunar crescent was
The problem here is to predict, from astronomical due to Bruin [5], in which the crescent brightness and that
conditions, whether a new Moon can be sighted at a the twilight sky has taken into consideration [6]. The
given location. Much effort has been put by the contrast between the Moon’s brightness and the
astronomers to match predictions with observations. background sky is determined and compared to the
Contrary to common belief, young crescent visibility minimum brightness that the naked human eye (or the
has been difficult to predict accurately despite great telescope) can see. This results in a prediction model for
strides being made in positional astronomy and related sighting the young crescent on any specific night from
sciences. We hope this work will provide some insights any specific location [7].
into this issue and offer a scientific solution to a religious The most complete model has been proposed by
issue. Schaefer [8] as well as Doggett and Schaefer [9]. This
Atmospheric factors such as turbulence in the air, model calculates the quantity of (Rs) according to the
humidity, dust and pollution also contribute to visibility formula: Rs = log [Rcalc/Rmin(vis)], which represent the
of the new Moon. This is especially true when the logarithmic ratio between the actual brightness of the
crescent is low across the sky, near the horizon, as it Moon to the required brightness of the Moon for
these effects vary from one position to another and from