On the computation of the spherical harmonic terms needed during the numerical integration of the orbital motion of an artificial satellite

1970 ◽  
Vol 2 (2) ◽  
pp. 207-216 ◽  
Author(s):  
Leland E. Cunningham
Keyword(s):  
Numerical Integration ◽  
Spherical Harmonic ◽  
Orbital Motion ◽  
Artificial Satellite

scholarly journals Corrigendum to “A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion”

2016 ◽  
Vol 2016 ◽  
pp. 1-1
Author(s):  
José Antonio López Ortí ◽  
Francisco José Marco Castillo ◽  
María José Martínez Usó
Keyword(s):  
Numerical Integration ◽  
Orbital Motion

scholarly journals A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
José Antonio López Ortí ◽  
Francisco José Marco Castillo ◽  
María José Martínez Usó
Keyword(s):  
Linear Combination ◽  
Numerical Integration ◽  
Body Problem ◽  
Numerical Solutions ◽  
Orbital Motion ◽  
Planetary Motion ◽  
Two Body Problem ◽  
New Family ◽  
Analytical Development ◽  
Convex Linear Combination

This paper aimed to address the study of a new family of anomalies, called natural anomalies, defined as a one-parameter convex linear combination of the true and secondary anomalies, measured from the primary and the secondary focus of the ellipse, and its use in the study of analytical and numerical solutions of perturbed two-body problem. We take two approaches: first, the study of the analytical development of the basic quantities of the two-body problem to be used in the analytical theories of the planetary motion and second, the study of the minimization of the errors in the numerical integration by an appropriate choice of parameters in our family for each value of the eccentricity. The use of an appropriate value of the parameter can improve the length of the developments in the analytical theories and reduce the errors in the case of the numerical integration.

scholarly journals PREDICTION OF THE ORBITAL MOTION OF AN ARTIFICIAL SATELLITE FROM RADAR MEASUREMENTS

2014 ◽  
Vol 25 (Issue 1-B) ◽  
pp. 15-20
Author(s):  
A. Awad Mervat ◽  
Mahmoud M.K. ◽  
Habib T.M.A. ◽  
Mohamed A.H.
Keyword(s):  
Orbital Motion ◽  
Artificial Satellite ◽  
Radar Measurements

scholarly journals A New Navigation Force Model for the Earth’s Albedo and Its Effects on the Orbital Motion of an Artificial Satellite

2011 ◽  
Vol 02 (07) ◽  
pp. 801-807 ◽  
Author(s):  
Yehia A. Abdel-Aziz ◽  
Afaf M. Abdel-Hameed ◽  
Khalil I. Khalil
Keyword(s):  
Orbital Motion ◽  
Artificial Satellite ◽  
Force Model

scholarly journals Planetary Satellite Orbiters: Applications for the Moon

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
Jean Paulo dos Santos Carvalho ◽  
Rodolpho Vilhena de Moraes ◽  
Antônio Fernando Bertachini de Almeida Prado
Keyword(s):  
Orbital Motion ◽  
Artificial Satellite ◽  
Nonuniform Distribution ◽  
The Moon ◽  
Planetary Satellite ◽  
Frozen Orbits ◽  
Planetary Satellites ◽  
Families Of Periodic Orbits ◽  
Low Altitude ◽  
Tesseral Harmonics

Low-altitude, near-polar orbits are very desirable as science orbits for missions to planetary satellites, such as the Earth's Moon. In this paper, we present an analytical theory with numerical simulations to study the orbital motion of lunar low-altitude artificial satellite. We consider the problem of an artificial satellite perturbed by the nonuniform distribution of the mass of the Moon (J2–J5,J7, andC22). The conditions to get frozen orbits are presented. Using an approach that considers the single-averaged problem, we found families of periodic orbits for the problem of an orbiter travelling around the Moon, where frozen orbits valid for long periods of time are found. A comparison between the models for the zonal and tesseral harmonics coefficients is presented.

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