Forces and conservation laws for motion on our spheroidal Earth

نویسندگان

چکیده

We explore the forces and conservation laws that govern motion of a hockey puck slides without friction on smooth, rotating, self-gravitating spheroid. The earth's oblate spheroidal shape (apart from small-scale surface features) is determined by balancing gravitational hold it together against centrifugal try to tear apart. earth achieves this when apparent force puck, defined as vector sum forces, perpendicular at every point surface. Thus, deformations neutralize leaving only Coriolis its motion. Motion spheroid therefore differs profoundly rotating sphere, for which plays key role. Kinetic energy reflects difference: On stably spheroid, kinetic conserved in frame, whereas inertial frame. derive these results illustrate them using CorioVis software visualizing

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conservation Laws for Coding Conservation Laws for Coding

This work deals with coding systems based on sparse graphs. The key issue we address is the relationship between iterative (in particular belief propagation) and maximum a posteriori decoding. We show that between the two there is a fundamental connection, which is reminiscent of the Maxwell construction in thermodynamics. The main objects we consider are EXIT-like functions. EXIT functions wer...

متن کامل

On integrable conservation laws.

We study normal forms of scalar integrable dispersive (not necessarily Hamiltonian) conservation laws, via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrized by infinitely many arbitrary functions that can be identified with the coefficients of the quasi-linear part of the equation. Moreover, in general, we conjecture that two...

متن کامل

On local conservation of numerical methods for conservation laws

Abstract. In this paper we introduce a definition of the local conservation property for numerical methods solving time dependent conservation laws, which generalizes the classical local conservation definition. The motivation of our definition is the Lax-Wendroff theorem, and thus we prove it for locally conservative numerical schemes per our definition in one and two space dimensions. Several...

متن کامل

On the Stability Functional for Conservation Laws

Let the smooth map f : Ω 7→ R define the strictly hyperbolic system of conservation laws ∂tu+ ∂xf(u) = 0 (1.1) where t > 0, x ∈ R and u ∈ Ω, with Ω ⊆ R being an open set. Most functional theoretic methods fail to tackle these equations, essentially due to the appearance of shock waves. Since 1965, the Glimm functional [13] has been a major tool in any existence proof for (1.1) and related equat...

متن کامل

On Elementary Interactions for Hyperbolic Conservation Laws

This is a survey of interactions of weak nonlinear waves in N × N systems of hyperbolic conservation laws. Recently a variety of surprising new phenomena have been observed, including strong nonlinear instability of solutions. This implies that further assumptions must be made to develop a Glimm–Lax existence and decay theory for N ≥ 3. As a first step towards such a theory, a systematic descri...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: American Journal of Physics

سال: 2021

ISSN: ['0002-9505', '1943-2909']

DOI: https://doi.org/10.1119/10.0004801