Restricted Three- Body Problem in Parabolodial Coordinate System
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 3, Issue 1
Abstract
In this paper, the equations of motion for the spatial circular restricted three- body problem in sidereal parabolodial coordinates system were established. Initial value procedure that can be used to compute both the parabolodial and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example of a hypothetical Trojan asteroid in the Sun Jupiter system and by graphical representations of the variations of the two sidereal coordinate systems.
Authors and Affiliations
A. A. Alshaery
Keywords
Related Articles
- EP ID EP651189
- DOI 10.24297/jam.v3i1.2448
- Views 189
- Downloads 0
Radius of Strong Starlikeness for Some Classes of Analytic Functions
Let φ(z) be an analytic function with positive real part on ∆ ={z; |z| < 1} with φ(0) = 1, φ0(0) > 0 which maps the unit disk ∆ ontoa region starlike with respect to 1 and symmetric with respect to the real...
Weakly injective dimension and Almost perfect rings
In this paper, we study the weak-injective dimension and we characterize the global weak-injective dimension of rings. After we study the transfer of the global weak-injective dimension in some known ring construction. F...
The Continuous Dependence and Numerical Approximation of the Solution of the Quasilinear Pseudo-Parabolic Problem with Periodic Boundary Condition
In this paper we consider a pseudo- parabolic equation with a periodic boundary condition and we prove the stability of a solution on the data. We give a numerical example for the stability of the solution on the data.
Estimation of the Optimal Regularization Parameters in Optimal Control Problems with time delay
In this paper we use the L-curve method and the Morozov discrepancy principle for the estimation of the regularization parameter in the regularization of time-delayed optimal control computation. Zeroth order, first orde...
On the solution of Fredholm-Volterra integral equation with discontinuous kernel in time.
The existence of a unique solution of Fredholm-Volterra integral equation (F-VIE) under certain conditions, are discussed and proved. The Fredholm integral term (FIT) is considered in position with continuous kerne...