Judul: Evaluation of Agronomic Character and Harvesting  Period of F5 Line of Mung Bean (Vigna radiata L.  Wilczek)
Abstrak: Kacang hijau sebagai tanaman pangan legume ketiga terpenting di Indonesia memiliki produktivitas yang masih tergolong rendah. Penelitian ini bertujuan mengevaluasi beberapa galur kacang hijau IPB untuk karakter agronomi, periode panen, dan potensi produksinya. Penelitian ini dilaksanakan di Kebun Percobaan Leuwikopo pada bulan Maret sampai Mei 2022. Rancangan penelitian ini adalah rancangan kelompok lengkap teracak dengan tiga ulangan menggunakan 20 genotipe F5 dan 5 genotipe pembanding. Hasil penelitian menunjukkan bahwa genotipe berpengaruh sangat nyata terhadap umur berbunga, umur matang polong pertama, umur panen pertama, umur panen terakhir, periode panen, tinggi tanaman, panjang rangkaian bunga, jumlah cabang produktif, jumlah polong, panjang polong, dan bobot biji/tanaman, yang mengindikasikan adanya keragaman. Semua karakter memiliki nilai heritabilitas tergolong tinggi, kecuali panjang rangkaian bunga, jumlah cabang produktif, bobot polong, dan bobot biji per tanaman tergolong sedang. Dendrogram yang dihasilkan memperlihatkan adanya 12 kelompok utama pada tingkat kemiripan 66,67 %. Genotipe F5 VR10/V1-10, Lom2/129-43, Lom2/129-37, dan Lom2/129-2 terpilih sebagai kandidat galur berdasarkan karakter periode panen pendek (18-28 hari) dan hasil tinggi (11,3-15,4 g)., Mung bean, the third most important legume food crop in Indonesia, has low productivity. This study aims to evaluate several IPB mung bean lines for their agronomic characters, harvest period, and yield potential. This research was carried out at the Leuwikopo Experimental Field in March-May 2022. The research design was an randomized complete block design with three replications using 20 genotypes F5 and 5 control genotypes. The results showed that genotype had a very significant effect on flowering age, first mature pod emergence, first harvest age, last harvest age, harvest period, plant height, inflorescence length, number of productive branches, number of pods, pod length, and seed weight per plant. All characters had high heritability values, except for inflorescence length, number of productive branches, pod weight, and seed weight per plant which were classified as moderate. The resulting dendrogram showed 12 main groups at a similarity level of 66,67 %. Genotypes VR10/V1-10, Lom2/129-43, Lom2/129-37, and Lom2/129-2 were selected as candidate lines based on their short harvest period (18-28 days) and high yield (11,3-15,4 g).
Keyword: dendrogram, genotipe, heritabilitas, periode panen, seleksi

Judul: Phenology of Agronomic Characters of Several  Mung Bean (Vigna radiata L. Wilczek) Lines at Different Harvest Periods
Abstrak: Kacang hijau menjadi salah satu sumber protein yang banyak dikonsumsi oleh masyarakat Indonesia. Panen yang serempak sangat penting dalam budidaya kacang hijau. Penelitian bertujuan memperoleh informasi mengenai fenologi karakter agronomi galur-galur kacang hijau hasil pemuliaan IPB pada periode panen yang berbeda dan memperoleh genotipe hasil tinggi pada panen serempak. Penelitian dilaksanakan pada bulan November 2022 hingga April 2023 di Kebun Percobaan Leuwikopo IPB. Penelitian menggunakan rancangan kelompok lengkap teracak pola tersarang dengan dua faktor, faktor pertama galur kacang hijau dan faktor kedua periode panen. Masing-masing faktor terdiri atas tiga ulangan sehingga terdapat 72 satuan percobaan. Hasil penelitian menunjukkan bahwa perlakuan panen yang berbeda tidak berpengaruh nyata terhadap karakter umur berbunga, umur polong hitam pertama, tinggi tanaman saat berbunga, tinggi tanaman saat panen terakhir, jumlah cabang total, jumlah cabang produktif, dan panjang tandan bunga, namun berpengaruh sangat nyata terhadap karakter jumlah polong per tanaman, bobot polong per tanaman, dan bobot biji per tanaman. Genotipe F7-VR10/V1-29 memiliki umur berbunga, umur polong hitam pertama, umur panen, jumlah cabang produktif, jumlah polong per tanaman, bobot polong per tanaman, dan bobot biji per tanaman yang setara atau lebih baik dari pembanding Vima 1. Genotipe yang memiliki hasil tinggi pada periode panen serempak yaitu F7-VR10/V1-29., Mung bean is a source of protein that is widely consumed by Indonesian. Simultaneous harvest is very important in mung bean production. The aims of the study were to obtain information on the phenology of agronomic characters of IPB mung bean lines at different harvesting periods and to select high-yielding genotypes. The research was carried out from November 2022 to April 2023 at the Leuwikopo Experimental Field, IPB University. The study used a randomized complete block design with nested pattern with two factors. The first factor was the mung bean lines and the second factor was the harvest period. Each factor consisted of three replications so that there were 72 experimental units. The results showed that different harvest treatments had no significant effect on the characters of day to flowering, day to the first black pods, plant height at flowering, plant height at last harvest, total number of branches, number of productive branches, and length of flower bunches, but had a very significant effect on the character of the number of pods per plant, pod weight per plant, and seed weight per plant. Genotype F7-VR10/V1-29 had day to flowering, day to first black pod, day to harvest, number of productive branches, number of pods per plant, pod weight per plant, and seed weight per plant which was equal to or better than Vima 1. The highest yieldiy genotype with simultaneous harvest was F7-VR10/V1-29.
Keyword: genotipe, hasil tinggi, panen serempak, protein, rancangan tersarang

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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