Author: UNITED STATES. NATIONAL AERONAUTICS AND SPACE ADMINISTRATION.
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
Book Description
DISCUSSION OF HALPHEN'S METHOD FOR SECULAR PERTURBATIONS AND ITS APPLICATION TO THE DETERMINATION OF LONG RANGE EFFECTS IN THE MOTIONS OF CELESTIAL BODIES. PT. 2
Author: UNITED STATES. NATIONAL AERONAUTICS AND SPACE ADMINISTRATION.
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
Book Description
A Discussion of Halphen's Method for Secular Perturbations and Its Application to the Determination of Long Range Effects in the Motions of Celestial Bodies. Part 2
Author: Arthur J. Smith (Jr.)
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 88
Book Description
This paper discusses some applications of Halphen's method for determining the long range (secular) perturbations for planetary and cometary type orbits. This method of treating secular planetary effects has been suggested by Musen for the determination of the long range perturbations due to the moon for artificial satellite orbits. Two FORTRAN II computer programs incorporating this method are described and representative results are presented. The comparison of results obtained here with those obtained by applying other methods demonstrates the adequacy of this method for minor planets and appropriate artificial satellites. It shows also that considerable saving in computer time can be made in the study of artificial satellite orbits when the short period perturbations are not of interest by using a program based on Halphen's method rather than one based on the use of an unaveraged disturbing function. The program for artificial satellites is given.
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 88
Book Description
This paper discusses some applications of Halphen's method for determining the long range (secular) perturbations for planetary and cometary type orbits. This method of treating secular planetary effects has been suggested by Musen for the determination of the long range perturbations due to the moon for artificial satellite orbits. Two FORTRAN II computer programs incorporating this method are described and representative results are presented. The comparison of results obtained here with those obtained by applying other methods demonstrates the adequacy of this method for minor planets and appropriate artificial satellites. It shows also that considerable saving in computer time can be made in the study of artificial satellite orbits when the short period perturbations are not of interest by using a program based on Halphen's method rather than one based on the use of an unaveraged disturbing function. The program for artificial satellites is given.
A Discussion of Halphen's Method for Secular Perturbations and Its Application to the Determination of Long Range Effects in the Motion of Celestial Bodies
Author: United States. National Aeronautics and Space Administration
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
A Discussion of Halphen's Method for Secular Perturbations and Its Application to the Determination of Long Range Effects in the Motions of Celestial Bodies
Author: Arthur J. Smith
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 86
Book Description
This paper discusses some applications of Halphen's method for determining the long range (secular) perturbations for planetary and cometary type orbits. This method of treating secular planetary effects has been suggested by Musen for the determination of the long range perturbations due to the moon for artificial satellite orbits. Two FORTRAN II computer programs incorporating this method are described and representative results are presented. The comparison of results obtained here with those obtained by applying other methods demonstrates the adequacy of this method for minor planets and appropriate artificial satellites. It shows also that considerable saving in computer time can be made in the study of artificial satellite orbits when the short period perturbations are not of interest by using a program based on Halphen's method rather than one based on the use of an unaveraged disturbing function. The program for artificial satellites is given.
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 86
Book Description
This paper discusses some applications of Halphen's method for determining the long range (secular) perturbations for planetary and cometary type orbits. This method of treating secular planetary effects has been suggested by Musen for the determination of the long range perturbations due to the moon for artificial satellite orbits. Two FORTRAN II computer programs incorporating this method are described and representative results are presented. The comparison of results obtained here with those obtained by applying other methods demonstrates the adequacy of this method for minor planets and appropriate artificial satellites. It shows also that considerable saving in computer time can be made in the study of artificial satellite orbits when the short period perturbations are not of interest by using a program based on Halphen's method rather than one based on the use of an unaveraged disturbing function. The program for artificial satellites is given.
A Discussion of Halphen's Method for Secular Perturbations and Its Application to the Determination of Long Range Effects in the Motions of Celestial Bodies
Author: Arthur J. Smith
Publisher:
ISBN:
Category :
Languages : en
Pages : 73
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 73
Book Description
A Discussion of Halphen's Method for Secular Perturbations and Its Application to the Determination of Long Range Effects in the Motions of Celestial Bodies
Author: Peter Musen
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 64
Book Description
The long range effects caused by the moon and the sun are of primary importance in establishing the stability of highly eccentric satellite orbits. At present no complete analytical theory exists which can treat such orbits. It is shown here that Halphen's method of treating secular planetary effects can, by means of step-by-step integration, also be used to determine long range lunar effects in the motions of artificial satellites. Halphen's method permits the numerical integration of long range lunar effects can be treated by averaging the disturbing function over the orbit of the satellite. Halphen's method is applicable to the determination of long range ("secular") effects in the motion of minor planets over the interval of hundreds of thousands of years. We assume that no sharp commensurability between mean motions of the disturbed and disturbing bodies does exist. A complete theory of Halphen's method is presented in modern symbols. Goursat transformations and a summability process are applied to speed the convergence of series which appear in the theory.
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 64
Book Description
The long range effects caused by the moon and the sun are of primary importance in establishing the stability of highly eccentric satellite orbits. At present no complete analytical theory exists which can treat such orbits. It is shown here that Halphen's method of treating secular planetary effects can, by means of step-by-step integration, also be used to determine long range lunar effects in the motions of artificial satellites. Halphen's method permits the numerical integration of long range lunar effects can be treated by averaging the disturbing function over the orbit of the satellite. Halphen's method is applicable to the determination of long range ("secular") effects in the motion of minor planets over the interval of hundreds of thousands of years. We assume that no sharp commensurability between mean motions of the disturbed and disturbing bodies does exist. A complete theory of Halphen's method is presented in modern symbols. Goursat transformations and a summability process are applied to speed the convergence of series which appear in the theory.
NASA Technical Report
Author:
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 540
Book Description
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 540
Book Description
Technical Abstracts
Author: Goddard Space Flight Center
Publisher:
ISBN:
Category :
Languages : en
Pages : 1024
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 1024
Book Description
Technical Abstracts - U. S. Goddard Space Flight Center
Author: Goddard Space Flight Center
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 344
Book Description
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 344
Book Description
Applied Mechanics Reviews
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1196
Book Description
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1196
Book Description