Perihelion librations in the secular three--body problem

التفاصيل البيبلوغرافية
العنوان: Perihelion librations in the secular three--body problem
المؤلفون: Pinzari, Gabriella
سنة النشر: 2020
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Dynamical Systems, Mathematical Physics
الوصف: A normal form theory for non--quasi--periodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in [15] to prove, in the averaged, planar three--body problem, the existence of a plenty of motions where, periodically, the perihelion of the inner body affords librations about one equilibrium position and its ellipse squeezes to a segment before reversing its direction and again decreasing its eccentricity (perihelion librations).
Comment: 3 Figures, 30 pages
نوع الوثيقة: Working Paper
DOI: 10.1007/s00332-020-09624-x
URL الوصول: http://arxiv.org/abs/2002.11358
رقم الأكسشن: edsarx.2002.11358
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s00332-020-09624-x