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

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. 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.

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.

scholarly journals Third-Order Solution of An Artificial-Satellite Theory

1978 ◽  
Vol 41 ◽  
pp. 241-257
Author(s):  
Hiroshi Kinoshita
Keyword(s):  
Fourth Order ◽  
Artificial Satellite ◽  
Equations Of Motion ◽  
Earth Satellite ◽  
Artificial Satellites ◽  
Artificial Satellite Theory ◽  
Third Order ◽  
Small Eccentricity ◽  
Order Solution ◽  
Better Than

AbstractA third-order solution is developed for the motions of artificial satellites moving in the gravitational field of the Earth, whose potential includes the second-, third-, and fourth-order zonal harmonics. Third-order periodic perturbations with fourth-order secular perturbations are derived by Hori’s perturbations method. All quantities are expanded into power series of the eccentricity, but the solution is obtained so as to be closed with respect to the inclination. A comparison with the results of numerical integration of the equations of motion indicates that the solution can predict the position of a close-earth satellite with a small eccentricity with an accuracy of better than 1 cm over 1 month.

scholarly journals Effectiveness of KS elements in satellite orbit prediction using earth's gravity, drag and solar radiation pressure

2020 ◽  
Vol 8 (1) ◽  
pp. 19
Author(s):  
T. R. Saritha Kumari ◽  
M. Xavier James Raj
Keyword(s):  
Gravitational Field ◽  
Solar Radiation ◽  
Radiation Pressure ◽  
Equations Of Motion ◽  
Solar Radiation Pressure ◽  
Satellite Orbit ◽  
Atmospheric Drag ◽  
Third Body ◽  
Gravitational Effects ◽  
Tesseral Harmonics

Satellite moving under the gravitational field of Earth deviates from its two-body elliptic orbit, due to the combined effects of the gravitational field of Earth, atmospheric drag, solar radiation pressure, third-body gravitational effects, etc. This paper utilizes the KS regular element equations to solve Newtonian equations of motion to obtain numerical solution with respect to perturbing forces, like, Earth's gravity (includes zonal, sectorial and tesseral harmonics terms), atmospheric drag and solar radiation pressure. Effectiveness of the theory is illustrated by comparing the results with some of the existing theories in literature. 

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 on the Elliptic Restricted Four-Body Problem

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Sahar H. Younis ◽  
M. N. Ismail ◽  
Ghada F. Mohamdien ◽  
A. H. Ibrahiem
Keyword(s):  
Radiation Pressure ◽  
Body Problem ◽  
Equilibrium Points ◽  
Equations Of Motion ◽  
Numerical Approach ◽  
The Earth ◽  
Families Of Periodic Orbits ◽  
Four Body Problem ◽  
The Stability ◽  
Effects Of Radiation

In this paper, under the effects of the largest primary radiation pressure, the elliptic restricted four-body problem is formulated in Hamiltonian form. Moreover, the canonical equations are obtained which are considered as the equations of motion. The Lagrangian points within the frame of the elliptic restricted four-body problem are obtained. The true anomalies are considered as independent variables. An analytical and numerical approach had been used. A code of Mathematica version 12 is constructed to truncate these considerations and is applied on the Earth-Moon-Sun system. In addition, the stability and periodicity of the motion about the equilibrium points are studied by using the Poincare maps. The motion about the collinear point L2 is presented as an example for the obtained results, and some families of periodic orbits are presented.

scholarly journals Dynamic Response of Solar Power Satellite Considering Solar Radiation Pressure

2018 ◽  
Vol 36 (3) ◽  
pp. 590-596 ◽  
Author(s):  
Fangnuan Xu ◽  
Zichen Deng ◽  
Bo Wang ◽  
Yi Wei ◽  
Qingjun Li
Keyword(s):  
Solar Radiation ◽  
Radiation Pressure ◽  
Solar Power ◽  
Equations Of Motion ◽  
Solar Radiation Pressure ◽  
Structural Vibration ◽  
Bernoulli Beam ◽  
Runge Kutta Method ◽  
Proposed Model ◽  
Euler Bernoulli Beam

The attitude and structural vibration of tethered solar power satellite were studied considering solar radiation pressure. Firstly, the simplified model of tethered solar power satellite was established. The solar panel was modeled as an Euler-Bernoulli Beam, the bus was modeled as a particle, and the tethers were modeled as massless springs. The equations of motion were derived based on absolute nodal coordinate formulation and Hamilton’s principle. Then, Symplectic Runge-Kutta method was adopted to solve the differential equations. The proposed model and numerical algorithm were validated through a numerical example. Finally, numerical simulations were carried out. Simulation results showed that solar radiation pressure as well as structural vibration cause small fluctuation of the attitude angle. Moreover, the effect of solar radiation pressure on structural vibration can be neglected.

Sign in / Sign up

Export Citation Format

Share Document