IMPLEMENTATION OF THE JEAN MEEUS ALGORITHM IN CALCULATING NEW MOON AND FULL MOON DATA
DOI:
https://doi.org/10.21580/al-hilal.2024.6.1.18847Keywords:
Jean Meeus, Algorithm, Moon phasesAbstract
This research aims to determine the application of Jean Meeus' algorithm in calculating new moon and full moon data. This is a qualitative study using a library approach. The primary source is the book "Astronomical Algorithm" by Jean Meeus, while secondary sources include books, journals, websites, and other information. The research results show that calculating new moon and full moon data using Jean Meeus' algorithm involves several calculation stages: lunation value (k), time in the Julian epoch 2000 (T), M (mean solar anomaly), M' (mean lunar anomaly), F (lunar latitude), and Ω (longitude of the ascending node) in degrees (0⁰ - 360⁰). Then, 14 arguments (components) affecting the planets are calculated in degrees. Next, the average time for moon phases is calculated, considering the influence of lunar and solar ablation and the moon’s light travel time to the observer’s position. Additional correction to the JDE (Julian Day Ephemeris) is required to determine the true phases. Jean Meeus' algorithm is used in the taḥqīqī essential calculation method due to its highly accurate astronomical data corrections for the movements of the Moon and Sun and is part of the heliocentric flow.Downloads
References
Anggi Andini, Baiq, Siti Rabi, atul Adawiyah, Arino Bemi Sado, “Implementasi Algoritma Jean Meeus dalam Penentuan Gerhana Bulan dan Matahari”. Al-Afaq: Jurnal Ilmu Falak dan Astronomi 5, no. 1 (2023): 57–80.
Anti, Halpi, Muh Rasywan Syarif, and Faisal Akib. “Akurasi Perhitungan Full Moon dengan Algoritma Jean Meeus terhadap Ephemeris dalam Sistem Penanggalan Kamariah”. Hisabuna 4, no. 2 (2023): 107–24.
Anugraha, Rinto. Mekanika Benda Langit. Yogyakarta: FMIPA Universitas Gajah Mada, 2012.
Azhari, Susiknan, and Ibnor Azli Ibrahim. “Kalender Jawa Islam: Memadukan Tradisi dan Tuntutan Syar’i”. Asy-Syir’ah 42, no. 1 (2008).
———. “Takwim Jawa Islam Memadukan Tradisi dan Tuntutan Syar’i”. Asy-Syir’ah Jurnal Hukum Islam 42, no. 1 (2008): 131–47.
Azmi, Muhammad Farid, Ahmad Adib Rofiuddin, and Ahmad Ainul Yaqin. “Prediksi Pergerakan Bayangan Bumi Saat Terjadi Gerhana Bulan Menggunakan Ephemeris Hisab Rukyat”. Al-Marshad: Jurnal Astronomi Islam dan Ilmu-Ilmu Berkaitan, 2018.
Manzil, Li’izza Diana. “Fase-Fase Bulan Pada Bulan Kamariah (Kajian Akurasi Perhitungan Data New Moon dan Full Moon dengan Algoritma Jean Meeus)”. Jurnal Hukum Islam 16, no. 1 (2018): 33–47.
Hidayat, Ehsan. “Penentuan Jumlah Gerhana Matahari dengan Lintang Bulan dan Teori Aritmatika’. Miyah: Jurnal Studi Islam 16, no. 1 (2020): 62–94.
Khazin, Muhyiddin. Kamus Ilmu Falak. Yogyakarta: Buana Pustaka, 2005.
Prayogi, Lalu Adam. “Studi Komparatif Perhitungan Gerhana Bulan Astronomical Algoritm Jean Meuss dan Texbook on Spherical Astronomy W.M SMART’. Thesis, UIN Mataram, 2022.
Rofiuddin, Ahmad Adib. “Dinamika Sosial Penentuan Awal Bulan Hijriah di Indonesia’. Istinbath 18, no. 2 (2019).
Sheri, Amsel. “Phases of The Moon”. www.exploringnature.org, 2005.
Shofi Wardana, Atiqo, and Erna Dwi Astuti. “Rancang Bangun Aplikasi Penghitung Awal Bulan Hijriyah Menggunakan Algoritma Jean Meeus sebagai Media Pembelajaran Ilmu Falak pada Kitab Taqyidatul Jaliyah”. Biner: Jurnal Ilmiah Informatika dan Komputer 2, no. 2 (2023): 142–47.
Zainon, Othman, Hamdun Ridlwan Ali, and Mohd Fauzi Abu Hussin. “Comparing the New Moon Visibility Criteria for International Islamic Calendar Concept”. International Conference on Space Science and Communication, IconSpace, 2019. https://doi.org/10.1109/IconSpace.2019.8905945.
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