Elastic Cable-Connected Satellites System Under Several Influences of General Nature: Equations of Motion in Elliptical Orbit

2021 ◽  
Vol 9 (1) ◽  
pp. 14-20
Author(s):  
Sangam Kumar ◽  
◽  
Joydip Ghosh
Keyword(s):  
Analytical Approach ◽  
Equations Of Motion ◽  
Solar Radiation Pressure ◽  
Satellite System ◽  
Frame Of Reference ◽  
Elliptical Orbit ◽  
General Nature ◽  
Artificial Satellites ◽  
Centre Of Mass ◽  
Earth’S Oblateness

In the present work, we have applied the analytical approach to obtain the equations of motion of a system of two cable connected artificial satellites under the effect of various perturbative forces of general nature. These perturbative forces are the earth’s shadow, solar radiation pressure, earth’s oblateness and the earth’s magnetic field. Our aim is to investigate the motion of the centre of mass of the two artificial cable connected satellite system in Keplerian elliptical orbit. We establish the equations of motion for the centre of mass of the system and also for the relative motion of the system. We obtain equations of motion in the rotating frame of reference as well as in Nechvile’s co-ordinate system. The cable under consideration is light, flexible, non-conducting and elastic in nature.

scholarly journals Effects of radiation pressure and earth’s oblatness on high altitude artificial satellite orbit

10.4081/708 ◽  
2011 ◽  
Vol 1 (1) ◽  
pp. e2
Author(s):  
Khalil I. Khalil ◽  
Mohamed N.S. Ismail
Keyword(s):  
High Altitude ◽  
Radiation Pressure ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Satellite Orbit ◽  
Artificial Satellites ◽  
Runge Kutta Method ◽  
Ks Variables ◽  
Effects Of Radiation ◽  
Earth’S Oblateness

This paper is devoted to study the effects of radiation pressure together with tesseral and zonal harmonics on the high altitude artificial satellites orbits. The equations of motion were regularized by using the KS variables and the problem was solved numerically using the fourth order of Runge Kutta method. A numerical testing was performed on Lageos-1 satellite in order to analyze its orbital changes due to effects of both radiation pressure and Earth's oblateness.

scholarly journals Effects of radiation pressure and earth’s oblatness on high altitude artificial satellite orbit

2011 ◽  
Vol 1 (1) ◽  
pp. 2
Author(s):  
Khalil I. Khalil ◽  
Mohamed N.S. Ismail
Keyword(s):  
High Altitude ◽  
Radiation Pressure ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Satellite Orbit ◽  
Artificial Satellites ◽  
Runge Kutta Method ◽  
Ks Variables ◽  
Effects Of Radiation ◽  
Earth’S Oblateness

This paper is devoted to study the effects of radiation pressure together with tesseral and zonal harmonics on the high altitude artificial satellites orbits. The equations of motion were regularized by using the KS variables and the problem was solved numerically using the fourth order of Runge Kutta method. A numerical testing was performed on Lageos-1 satellite in order to analyze its orbital changes due to effects of both radiation pressure and Earth's oblateness.

scholarly journals Effects of radiation pressure and earth’s oblatness on high altitude artificial satellite orbit

2011 ◽  
Vol 1 (1) ◽  
pp. e2
Author(s):  
Khalil I. Khalil ◽  
Mohamed N.S. Ismail
Keyword(s):  
High Altitude ◽  
Radiation Pressure ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Satellite Orbit ◽  
Artificial Satellites ◽  
Runge Kutta Method ◽  
Ks Variables ◽  
Effects Of Radiation ◽  
Earth’S Oblateness

This paper is devoted to study the effects of radiation pressure together with tesseral and zonal harmonics on the high altitude artificial satellites orbits. The equations of motion were regularized by using the KS variables and the problem was solved numerically using the fourth order of Runge Kutta method. A numerical testing was performed on Lageos-1 satellite in order to analyze its orbital changes due to effects of both radiation pressure and Earth's oblateness.

scholarly journals Spatial and Temporal Sampling of Polar Regions from Two-Satellite System on Molniya Orbit

2011 ◽  
Vol 28 (8) ◽  
pp. 977-992 ◽  
Author(s):  
Alexander P. Trishchenko ◽  
Louis Garand
Keyword(s):  
Temporal Resolution ◽  
Arctic Region ◽  
Satellite System ◽  
Elliptical Orbit ◽  
High Temporal Resolution ◽  
Polar Regions ◽  
Temporal Sampling ◽  
Continuous Coverage ◽  
Depth Analysis

Abstract There has been a significant increase of interest in the building of a comprehensive Arctic observing system in recent years to properly and timely track the environmental and climate processes in this vast region. In this regard, a satellite observing system on highly elliptical orbit (HEO) with 12-h period (Molniya type) is of particular interest, because it enables continuous coverage of the entire Arctic region (58°–90°N) from a constellation of two satellites. Canada is currently proposing to operate such a constellation by 2017. Extending the pioneering study of S. Q. Kidder and T. H. Vonder Haar, this paper presents in-depth analysis of spatiotemporal sampling properties of the imagery from this system. This paper also discusses challenges and advantages of this orbit for various applications that require high temporal resolution and angular sampling.

A Project in the Determination of the Moment of Inertia

2005 ◽  
Vol 33 (4) ◽  
pp. 319-338
Author(s):  
Ron P. Podhorodeski ◽  
Paul Sobejko
Keyword(s):  
Dynamic Properties ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Moment Of Inertia ◽  
Educational Goal ◽  
Centre Of Mass ◽  
Comparison Of Results ◽  
Physical Testing ◽  
The Moment

Analysis of the forces involved in mechanical systems requires an understanding of the dynamic properties of the system's components. In this work, a project on the determination of both the location of the centre of mass and inertial properties is described. The project involves physical testing, the proposal of approximate models, and the comparison of results. The educational goal of the project is to give students and appreciation of second mass moments and the validity of assumptions that are often applied in component modelling. This work reviews relevant equations of motion and discusses techniques to determine or estimate the centre of mass and second moment of inertia. An example project problem and solutions are presented. The value of such project problems within a first course on the theory of mechanisms is discussed.

scholarly journals Long-Term Predictions for Highly Eccentric Orbits

1993 ◽  
Vol 132 ◽  
pp. 353-363
Author(s):  
José M. Ferrándiz ◽  
M. Eugenia Sansaturio ◽  
Jesús Vigo
Keyword(s):  
Equations Of Motion ◽  
Analytical Techniques ◽  
Artificial Satellites ◽  
Numerical Techniques ◽  
Dynamical Models ◽  
Eccentric Orbits

AbstractPredictability in orbital behaviour of artificial satellites depends on several factors: the accuracy required, the particular dynamical models formulated, the sets of variables chosen to describe them, the numerical or analytical techniques used and, specially, the specific trajectories to be established. In this paper we address the problem of predictability for highly eccentric satellites with (J2 + J22)-perturbation, by using numerical techniques to integrate the equations of motion when expressed in different sets of regular variables.

scholarly journals Impact of ECOM Solar Radiation Pressure Models on Multi-GNSS Ultra-Rapid Orbit Determination

2019 ◽  
Vol 11 (24) ◽  
pp. 3024
Author(s):  
Yang Liu ◽  
Yanxiong Liu ◽  
Ziwen Tian ◽  
Xiaolei Dai ◽  
Yun Qing ◽  
...  
Keyword(s):  
Solar Radiation ◽  
Real Time ◽  
Radiation Pressure ◽  
Orbit Determination ◽  
Precise Orbit Determination ◽  
Solar Radiation Pressure ◽  
Satellite System ◽  
Ambiguity Fixing ◽  
Global Navigation Satellite ◽  
The Impact

The Global Navigation Satellite System (GNSS) ultra-rapid precise orbits are crucial for global and wide-area real-time high-precision applications. The solar radiation pressure (SRP) model is an important factor in precise orbit determination. The real-time orbit determination is generally less accurate than the post-processed one and may amplify the instability and mismodeling of SRP models. Also, the impact of different SRP models on multi-GNSS real-time predicted orbits demands investigations. We analyzed the impact of the ECOM 1 and ECOM 2 models on multi-GNSS ultra-rapid orbit determination in terms of ambiguity resolution performance, real-time predicted orbit overlap precision, and satellite laser ranging (SLR) validation. The multi-GNSS observed orbital arc and predicted orbital arcs of 1, 3, 6, and 24 h are compared. The simulated real-time experiment shows that for GLONASS and Galileo ultra-rapid orbits, compared to ECOM 1, ECOM 2 increased the ambiguity fixing rate to 89.3% and 83.1%, respectively, and improves the predicted orbit accuracy by 9.2% and 27.7%, respectively. For GPS ultra-rapid orbits, ECOM 2 obtains a similar ambiguity fixing rate as ECOM 1 but slightly better orbit overlap precision. For BDS GEO ultra-rapid orbits, ECOM 2 obtains better overlap precision and SLR residuals, while for BDS IGSO and MEO ultra-rapid orbits, ECOM 1 obtains better orbit overlap precision and SLR residuals.

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