scholarly journals Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites 2014

2015 ◽  
Vol 2015 ◽  
pp. 1-3
Author(s):  
Antonio F. Bertachini A. Prado ◽  
Josep J. Masdemont ◽  
Maria Cecilia Zanardi ◽  
Silvia Maria Giuliatti Winter ◽  
Tadashi Yokoyama ◽  
...  
Keyword(s):  
Celestial Mechanics ◽  
Artificial Satellites ◽  
Mathematical Methods

scholarly journals Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Antonio F. Bertachini A. Prado ◽  
Maria Cecilia Zanardi ◽  
Tadashi Yokoyama ◽  
Silvia Maria Giuliatti Winter ◽  
Josep J. Masdemont
Keyword(s):  
Celestial Mechanics ◽  
Artificial Satellites ◽  
Mathematical Methods

scholarly journals Mathematical Methods Applied to the Celestial Mechanics of Artificial Satellites 2013

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Antonio F. Bertachini A. Prado ◽  
Josep J. Masdemont ◽  
Maria Cecilia Zanardi ◽  
Silvia Maria Giuliatti Winter ◽  
Tadashi Yokoyama ◽  
...  
Keyword(s):  
Celestial Mechanics ◽  
Artificial Satellites ◽  
Mathematical Methods

scholarly journals Newton, Laplace, and the Epistemology of Systems Biology

2012 ◽  
Vol 11 ◽  
pp. CIN.S10630
Author(s):  
Michael L. Bittner ◽  
Edward R. Dougherty
Keyword(s):  
Systems Biology ◽  
Systems Theory ◽  
Celestial Mechanics ◽  
Stochastic Systems ◽  
Mathematical Methods

For science, theoretical or applied, to significantly advance, researchers must use the most appropriate mathematical methods. A century and a half elapsed between Newton's development of the calculus and Laplace's development of celestial mechanics. One cannot imagine the latter without the former. Today, more than three-quarters of a century has elapsed since the birth of stochastic systems theory. This article provides a perspective on the utilization of systems theory as the proper vehicle for the development of systems biology and its application to complex regulatory diseases such as cancer.

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.

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