EXPLICIT SOLUTIONS OF THE THREE-DIMENSIONAL INVERSE PROBLEM OF DYNAMICS, USING THE FRENET REFERENCE FRAME

被引：16

作者：

Puel, Francois

机构：

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1992年 / 53卷 / 03期

关键词：

Inverse problem; Szebehely's equation; intrinsic equations;

D O I：

10.1007/BF00052609

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Given a two-parameter of three-dimensional orbits, we construct the unit tangent vector, the normal and the binormal which define the Frenet reference frame. In this frame, by writing that the force is conservative, we explicitly obtain the potential as a function of the energy along the trajectories and of its derivatives.

引用

页码：207 / 218

页数：12

共 50 条

[41] The numerical solution of the three dimensional inverse obstacle scattering problem for point source generated wave fields
You, YX
Miao, GP
INVERSE PROBLEMS IN ENGINEERING, 2002, 10 (03): : 215 - 233
[42] Three-dimensional reconstruction of electrical activity in the heart using optical parallax
Wellner, M
Mironov, SF
Bernus, O
Pertsov, AM
OPTICAL TOMOGRAPHY AND SPECTROSCOPY OF TISSUE VI, 2005, 5693 : 51 - 55
[43] Three-Dimensional Identification of Crack Location in Conducting Slabs Using Wavelets
Abd-El-Hafiz, S. K.
Adly, A. A.
IEEE TRANSACTIONS ON MAGNETICS, 2013, 49 (07) : 3472 - 3475
[44] Solution of the inverse problem for the two-dimensional discrete schrodinger equation using REDUCE
Serdyukova, SI
PROGRAMMING AND COMPUTER SOFTWARE, 2001, 27 (01) : 4 - 5
[45] Numerical Approximation of the One-dimensional Inverse Stefan Problem Using a Meshless Method
Baati, Mohammed
Chakhim, Nada
Louzar, Mohamed
Lamnii, Abdellah
ENGINEERING LETTERS, 2024, 32 (01) : 112 - 122
[46] Solving a parameter estimation problem in a three-dimensional conical tube on a parallel and distributed software infrastructure
Buecker, H. Martin
Fortmeier, Oliver
Petera, Monika
JOURNAL OF COMPUTATIONAL SCIENCE, 2011, 2 (02) : 95 - 104
[47] A three-dimensional shape design problem to determine the filler geometry for optimal system thermal conductivity
Huang, Cheng-Hung
Hsu, Hsueh-Min
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2015, 92 : 119 - 128
[48] Noninvasive reconstruction of three-dimensional ventricular activation sequence from the inverse solution of distributed equivalent current density
Liu, Zhongming
Liu, Chenguang
He, Bin
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2006, 25 (10) : 1307 - 1318
[49] The Discrete Self-Adjoint Dirac Systems of General Type: Explicit Solutions of Direct and Inverse Problems, Asymptotics of Verblunsky-Type Coefficients and the Stability of Solving of the Inverse Problem
Roitberg, Inna
Sakhnovich, Alexander
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2018, 14 (04) : 532 - 548
[50] Solution of the Inverse Problem for the Two-Dimensional Discrete Schrödinger Equation Using REDUCE
S. I. Serdyukova
Programming and Computer Software, 2001, 27 : 4 - 5

← 1 2 3 4 5 →