DAFTAR ISI HALAMAN PENGESAHAN ................................................................................. ii PERNYATAAN..................................................................................................... iii MOTTO ................................................................................................................. iv HALAMAN PERSEMBAHAN ............................................................................. v KATA PENGANTAR ........................................................................................... vi DAFTAR ISI ........................................................................................................ viii DAFTAR GAMBAR .............................................................................................. x DAFTAR TABEL ................................................................................................ xiv DAFTAR SIMBOL............................................................................................... xv DAFTAR UNSUR KIMIA .................................................................................. xvi INTISARI............................................................................................................ xvii ABSTRACT ....................................................................................................... xviii BAB I PENDAHULUAN ....................................................................................... 1 1.1 Latar Belakang .............................................................................................. 1 1.2 Rumusan Masalah ......................................................................................... 2 1.3 Batasan Masalah............................................................................................ 2 1.4 Tujuan Penelitian .......................................................................................... 2 1.5 Manfaat Penelitian ........................................................................................ 3 BAB II TINJAUAN PUSTAKA............................................................................. 4 BAB III LANDASAN TEORETIK ........................................................................ 9 3.1 Proses Evolusi Bintang ................................................................................. 9 3.2 Diagram Hertzsprung-Russell (H-R) .......................................................... 12 3.3 Bintang dapat Dianggap Sebagai Benda Hitam .......................................... 15 3.4 Persamaan Dasar untuk Membangun Struktur Bintang .............................. 17 3.4.1 Keadaan hidrostatis di dalam bintang .................................................. 17 3.4.2 Teorema virial untuk bintang ............................................................... 19 3.4.3 Perpindahan aliran energi di dalam bintang ......................................... 20 3.4.4 Proses reaksi nuklir di dalam bintang .................................................. 24 viii 3.4.5 Membangun model bintang.................................................................. 27 3.5 Metode Integrasi Numerik Gaussian-Quadrature ....................................... 31 BAB IV METODOLOGI PENELITIAN ............................................................. 37 4.1 Penyelesaian Persamaan Struktur Bintang .................................................. 37 4.2 Implementasi Program ................................................................................ 40 4.2.1 Program MATLAB .............................................................................. 40 4.2.2 Algoritma Komputasi ........................................................................... 42 4.2.3 Diagram alir komputasi ........................................................................ 43 a. Diagram alir untuk mencari konstanta alfa dan beta ............................. 43 b. Diagram alir penyelesaian persamaan model bintang ........................... 44 c. Diagram alir untuk membuat grafik ...................................................... 45 BAB V PEMBAHASAN ...................................................................................... 47 5.1 Bintang Imaginer1, bintang imaginer2 dan penerapannya untuk Matahari 48 5.1.1 Kerapatan material bintang .................................................................. 49 5.1.2 Massa bintang ...................................................................................... 51 5.1.3 Tekanan bintang ................................................................................... 53 5.1.4 Luminositas bintang ............................................................................. 55 5.1.5 Suhu dan suhu efektif permukaan bintang ........................................... 57 5.1.6 Energi bintang ...................................................................................... 61 5.1.7 Gradien suhu bintang yang menandakan proses perpindahan aliran energi secara radiasi dan konveksi ................................................................ 64 BAB VI PENUTUP .............................................................................................. 69 6.1 Kesimpulan ................................................................................................. 69 6.2 Saran ............................................................................................................ 69 DAFTAR PUSTAKA ........................................................................................... 71 LAMPIRAN .......................................................................................................... 72 A. Listing program untuk mencari nilai konstanta α dan β ............................... 72 B. Listing program membangun model bintangimaginer1 ............................... 72 C. Listing program penerapan membangun model bintang untuk Matahari .... 78 D. Listing program membangun model bintang imaginer2 .............................. 84 E. Listing program untuk membuat grafik ........................................................ 90 ix