Dzulikrom, Muhammad Muadz
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Lunar Position Calculation Algorithm With Truncated ELP/MPP02 Series Abdillah, Yusrifal Fais; Dzulikrom, Muhammad Muadz
Al-Marshad: Jurnal Astronomi Islam dan Ilmu-Ilmu Berkaitan Vol 10, No 1 (2024): Al-Marshad
Publisher : University of Muhammadiyah Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30596/jam.v10i1.16616

Abstract

The truncated ELP/MPP02 series is a series of lunar position calculations based on the ELP/MPP02 theory developed by Chapront and Francou in 2002. This series reduces the lunar correction data, reducing the number of corrections from 35,901 to 253 data points, which are used to calculate the ecliptic longitude, ecliptic latitude and distance of the Moon from the Earth. The conclusions of this research are as follows: First, the calculation of lunar coordinates with the truncated ELP/MPP02 series involves the calculation of ecliptic longitude (L), ecliptic latitude (B), and the distance of the Moon from Earth (R) using the provided periodic terms, and then correcting for Δλ and Δψ to calculate the apparent position of the Moon. Secondly, the truncated ELP/MPP02 series has a maximum error of 5'' for L, 1.26'' for B and 2.43 km for R in the time range 0 AD to 3000 AD. In the case of L, B and R, these errors do not exceed 5', 1' and 14 km respectively when calculations are made between 3000 BC and 1000 BC. For lunar and solar eclipses, the series shows an accuracy of 5.8 seconds for lunar eclipses in the time range 2000 AD to 2050 AD, and 4 seconds for solar eclipses.
Verification of Kastner Visibility of Hilal Observation Results at Condrodipo Rukyat Center in 1444 H Faizah, Nur; Dzulikrom, Muhammad Muadz
Astroislamica: Journal of Islamic Astronomy Vol. 3 No. 1 (2024): Astroislamica: Journal of Islamic Astronomy (Juni)
Publisher : Islamic Astronomy Department, Sharia and Law Faculty

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47766/astroislamica.v3i1.2786

Abstract

The Kastner Hilal visibility method is one of numerous contemporary observation techniques developed with the objective of monitoring the appearance of Hilal with greater precision. This paper presents a discussion of Hilal observations conducted at the Condrodipo Rukyat Center. The visibility results are analyzed using curve graphs, facilitating the assessment and validation of the observations. The findings demonstrate that employing the Kastner mathematical model can corroborate visibility with a substantial degree of concurrence, regardless of atmospheric constraints and sky conditions. However, the results of observer reports in the field are often inconsistent with model predictions, especially in conditions of low Hilal altitude and naked eye observations. Therefore, more rigorous scientific verification and reliable methodologies are needed to confirm observations for the integrity of the determination of the beginning of the lunar month.