رسالة جامعية

Transit orbits and long-term dynamics in the near-parabolic restricted three-body problems

التفاصيل البيبلوغرافية
العنوان: Transit orbits and long-term dynamics in the near-parabolic restricted three-body problems
المؤلفون: Atanasova, Diana
المساهمون: Hall, Glen R.
سنة النشر: 2020
المجموعة: Boston University: OpenBU
مصطلحات موضوعية: Mathematics, Annulus map, Parabolic restricted three-body problem, Transit orbits
الوصف: In this thesis, we consider the planar parabolic, hyperbolic, and highly-elliptic restricted three-body problems (R3BP). In particular, we formulate sufficient conditions for no transit (escape of the infinitesimal body) to occur in the near-parabolic R3BP using the disturbing function derived in Mamedov (1987) as our starting point. We take a middle approach between purely numerical and strictly analytic in the form of infinite series expansions to derive approximation mappings modeling the dynamics. Motivated by the long-term dynamics of the highly-elliptic R3BP, we study an annulus map with properties which are unexpectedly different from those of the "standard" annulus map.
نوع الوثيقة: thesis
اللغة: English
العلاقة: https://hdl.handle.net/2144/39615Test
الإتاحة: https://hdl.handle.net/2144/39615Test
رقم الانضمام: edsbas.2679672A
قاعدة البيانات: BASE