Generalized Multistep Methods in Satellite Orbit Computation

1968 ◽  
Vol 15 (4) ◽  
pp. 712-719 ◽  
Author(s):  
James Dyer
Keyword(s):  
Multistep Methods ◽  
Satellite Orbit ◽  
Orbit Computation

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.

Rapid satellite orbit computation

1963 ◽  
Vol 51 (2) ◽  
pp. 402-402
Author(s):  
T.R. Benedict
Keyword(s):  
Satellite Orbit ◽  
Orbit Computation

Application of the GEM-T2 gravity field to altimetric satellite orbit computation

1994 ◽  
Vol 99 (C8) ◽  
pp. 16237 ◽  
Author(s):  
Bruce J. Haines ◽  
George H. Born ◽  
Ronald G. Williamson ◽  
Chester J. Koblinsky
Keyword(s):  
Gravity Field ◽  
Satellite Orbit ◽  
Orbit Computation

scholarly journals Corrections to the IAU 1980 Nutation Series From Lageos Observations

1990 ◽  
Vol 141 ◽  
pp. 155-155
Author(s):  
V.K. Tarady
Keyword(s):  
Data Analysis ◽  
Numerical Integration ◽  
Satellite Orbit ◽  
Program Complex ◽  
Adams Method ◽  
Laser Data ◽  
Variable Step ◽  
Integration Techniques ◽  
Nutation Series ◽  
Orbit Computation

The attempt was made to determine the corrections to the coefficients of the IAU 1980 nutation series together with other geodesical and geodynamical parameters by the use of the Kiev-Geodynamics-3 program complex for LAGEOS laser data analysis. This complex is based on the MERIT standards and on numerical integration techniques for satellite orbit computation. An integration is carried out in cartesian coordinates by the Adams method of variable step and order.

Symmetric Multistep Methods Revisited: II. Numerical Experiments

1999 ◽  
Vol 173 ◽  
pp. 309-314 ◽  
Author(s):  
T. Fukushima
Keyword(s):  
Multistep Methods ◽  
Computational Time ◽  
Integration Time ◽  
Implicit Methods ◽  
Symmetric Methods ◽  
Celestial Bodies ◽  
The Stability ◽  
Predictor Corrector ◽  
Symmetric Multistep Methods ◽  
Integration Errors

AbstractBy using the stability condition and general formulas developed by Fukushima (1998 = Paper I) we discovered that, just as in the case of the explicit symmetric multistep methods (Quinlan and Tremaine, 1990), when integrating orbital motions of celestial bodies, the implicit symmetric multistep methods used in the predictor-corrector manner lead to integration errors in position which grow linearly with the integration time if the stepsizes adopted are sufficiently small and if the number of corrections is sufficiently large, say two or three. We confirmed also that the symmetric methods (explicit or implicit) would produce the stepsize-dependent instabilities/resonances, which was discovered by A. Toomre in 1991 and confirmed by G.D. Quinlan for some high order explicit methods. Although the implicit methods require twice or more computational time for the same stepsize than the explicit symmetric ones do, they seem to be preferable since they reduce these undesirable features significantly.

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