scholarly journals Visibility intervals between two artificial satellites under the action of Earth oblateness

2018 ◽  
Vol 3 (2) ◽  
pp. 353-374 ◽  
Author(s):  
M. K. Ammar ◽  
M. R. Amin ◽  
M.H.M. Hassan
Keyword(s):  
Analytical Method ◽  
Line Of Sight ◽  
Artificial Satellites ◽  
Orbital Elements ◽  
Numerical Examples ◽  
Visibility Function ◽  
Analytical Work ◽  
Satellite Visibility

AbstractThis paper presents an analytical method to determine the rise-set times of satellite-satellite visibility periods in different orbits. The Visibility function in terms of the orbital elements of the two satellites versus the time were derived explicitly up to e4. The line-of-sight corrected for Earth Oblateness up to J2, were considered as a perturbation to the orbital elements. The visibility intervals of the satellites were calculated for some numerical examples in order to test the results of the analytical work.

scholarly journals Calculation of line of site periods between two artificial satellites under the action air drag

2018 ◽  
Vol 3 (2) ◽  
pp. 339-352 ◽  
Author(s):  
M. K. Ammar ◽  
M. R. Amin ◽  
M.H.M. Hassan
Keyword(s):  
Drag Force ◽  
Artificial Satellites ◽  
Orbital Elements ◽  
Air Drag ◽  
Numerical Examples ◽  
Visibility Function

AbstractIn a previous (herein referred to as Ammar, Amin and Hassan Paper [1]) the statement of the problem was formulated and the basic visibility function between two satellites in terms of the orbital elements and time were derived. In this paper the perturbing effect due to drag force on the visibility function were derived explicitly up to O(e4), by using Taylor’s expansion for the visibility function about certain epoch. We determine the rise and set times of the satellites through the sign of the visibility function. Numerical examples were worked out for some satellites in order to check the validity of the work.

Artificial satellite orbit computations

1966 ◽  
Vol 25 ◽  
pp. 363-371
Author(s):  
P. Sconzo
Keyword(s):  
Artificial Satellite ◽  
Satellite Orbit ◽  
Artificial Satellites ◽  
Orbital Elements ◽  
Differential Correction ◽  
Gravitational Effects ◽  
Short Intervals ◽  
The Subject ◽  
Introductory Discussion ◽  
Orbit Computation

In this paper an orbit computation program for artificial satellites is presented. This program is operational and it has already been used to compute the orbits of several satellites.After an introductory discussion on the subject of artificial satellite orbit computations, the features of this program are thoroughly explained. In order to achieve the representation of the orbital elements over short intervals of time a drag-free perturbation theory coupled with a differential correction procedure is used, while the long range behavior is obtained empirically. The empirical treatment of the non-gravitational effects upon the satellite motion seems to be very satisfactory. Numerical analysis procedures supporting this treatment and experience gained in using our program are also objects of discussion.

Analysis of Half-Pipe Heating Channels on Pressure Vessel Shells

1986 ◽  
Vol 108 (4) ◽  
pp. 526-529
Author(s):  
A. E. Blach
Keyword(s):  
Pressure Vessel ◽  
Analytical Method ◽  
External Pressure ◽  
Pressure Vessels ◽  
Numerical Examples ◽  
Asme Code

Half-pipe heating channels are used on the outside of pressure vessels such as agitators, mixers, reactors, etc., to avoid the high external pressure associated with heating jackets. No applicable method of analysis is contained in the ASME Code and proof tests are normally required for registration with governing authorities. An analytical method is presented which permits the evaluation of stresses in shell and half pipe; numerical examples are included.

A Mathematical Model of Consumer Behavior

1965 ◽  
Vol 2 (3) ◽  
pp. 259-265 ◽  
Author(s):  
Benjamin Lipstein
Keyword(s):  
Mathematical Model ◽  
Consumer Behavior ◽  
Markov Process ◽  
Analytical Method ◽  
Stochastic Matrices ◽  
Market Conditions ◽  
Numerical Examples ◽  
Advertising Effort ◽  
Attitude Changes

A mathematical model is presented of consumer behavior in the marketplace under advertising stimulation. The model relates advertising effort to attitude changes and consumer purchases, using a nonstationary Markov process. A new analytical method of handling nonstationary stochastic matrices is developed. The behavior of brand shares under different market conditions is considered along with numerical examples of how the model operates.

Hybrid Systems for Use in the Dynamics of Artificial Satellites

1975 ◽  
Vol 26 ◽  
pp. 235-240
Author(s):  
Y. Kozai
Keyword(s):  
Hybrid Systems ◽  
Review Paper ◽  
Artificial Satellites ◽  
Reference Systems ◽  
Coordinate Systems ◽  
Orbital Elements

AbstractFor observed positions ofi artificial satellites and their orbital elements, many kinds of reference coordinate systems have been available. Some are more convenient for reductions of observations, while others are more convenient for analyzing the orbital elements for geodesy. In this review paper, perturbations produced owing to the adoption of diffrent kinds of reference systems are discussed.

Profiling Method of Side Mill for Threading Screw for Dental Implants

2013 ◽  
Vol 837 ◽  
pp. 22-27 ◽  
Author(s):  
Silviu Berbinschi ◽  
Nicuşor Baroiu ◽  
Virgil Teodor ◽  
Nicolae Oancea
Keyword(s):  
Dental Implants ◽  
Analytical Method ◽  
Fundamental Theorem ◽  
Graphical Method ◽  
Grinding Wheels ◽  
Numerical Examples

In this paper, it is analyzed, in a comparative way, two methods for profiling disc tools (mills or grinding wheels) for generation of specific threads used in the construction of the prosthetic screw for dental implants. It is proposed an analytical method, based on the fundamental theorem of the surfaces enveloping versus a graphical method, developed in CATIA. They are presented numerical examples for the both methods.

scholarly journals Analysis of the Transmission of Project Duration and Cost Impacts Based on the GERT Network Technique

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 337 ◽  
Author(s):  
Zhiyong Li ◽  
Xiangtian Nie ◽  
Bo Wang ◽  
Tianyu Fan
Keyword(s):  
Analytical Method ◽  
Hybrid Structures ◽  
Transmission Model ◽  
Project Cost ◽  
Project Duration ◽  
Numerical Examples ◽  
Cost Increase ◽  
Gert Network ◽  
Engineering Projects

In engineering projects, project duration and a cost increase occur in every phase and will propagate their impacts downstream. Associated with the compensation of project duration, the duration and cost impacts are transferred among phases. In this paper, after illustrating the transmission of project duration and cost impacts, we will use the risk transmission theory and GERT (Graphic Evaluation and Review Technique) network technique to build a transmission model. We have designed equivalent parameters of project duration and cost impacts in the GERT model for serial, parallel, and hybrid structures. The algorithm of the GERT network for project cost and duration transmission is analyzed. The effectiveness of this model and algorithm is proved by numerical examples. This paper provides a new analytical method for cost and duration control of engineering projects.

Synthesis of spherical four-bar path generator satisfying the prescribed tangents at two cusps

1997 ◽  
Vol 211 (3) ◽  
pp. 211-216 ◽  
Author(s):  
C-F Chang ◽  
D-M Lu ◽  
W-M Hwang
Keyword(s):  
Analytical Method ◽  
Cross Ratio ◽  
Numerical Examples ◽  
Special Case

Design equations for spherical four-bar linkages to trace a coupler curve with two prescribed cusps are derived in this study by using a special case of spherical Burmester curves. For the case in which the tangents at two cusps are also prescribed, an analytical method is proposed with the aid of the foregoing design equations associated with the concept of the spherical cross ratio and spherical Bobillier theorem. The proposed method is straightforward and quite useful for those cases in which the tangents at two cusps are neither on the same plane nor on parallel planes. Numerical examples are also provided for illustrating the entire technique.

Analytical method for locating the secondary instant centres of indeterminate planar linkages

2008 ◽  
Vol 223 (2) ◽  
pp. 491-502 ◽  
Author(s):  
C-M Kung ◽  
L-C T Wang
Keyword(s):  
Fourth Order ◽  
Analytical Method ◽  
Polynomial Equation ◽  
Automated Analysis ◽  
Numerical Examples ◽  
Order Polynomial ◽  
Velocity Information ◽  
Planar Linkages ◽  
Fourth Order Polynomial ◽  
Order Polynomial Equation

This article presents a new analytical method for locating secondary instant centres (SICs) of indeterminate planar linkages. In this method the SICs are first discriminated into three classes according to their level of geometric dependencies. The concepts of instant-centre digraph, instant-centre walk, and instant-centre circuit are then introduced to establish the recursive relationships between the classified instant centres. It is shown that the location of the instant centres within an instant-centre circuit can be evaluated recursively by first solving a second-order polynomial equation. In addition, by combining the recurrence conditions of several related instant-centre walks, the locations of SICs that are not within an instant-centre circuit can be solved analytically from a fourth-order polynomial equation. The proposed method does not rely on any velocity information or graphical techniques; therefore, it can be applied systematically to all types of indeterminate linkages. It can also be implemented on digital computers for automated analysis. Three numerical examples are presented to demonstrate the usage of this method.

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