Modification of Three Order Methods For Solving Satellite Orbital Equation in Elliptical Motion

2020 ◽  
Vol 14 (1) ◽  
pp. 33-37
Author(s):  
Mohammed S. Rasheed ◽  
Keyword(s):  
Elliptical Motion

Theories of Polar Motion from Tisserand to Poincaré (1890 – 1910)

2000 ◽  
Vol 178 ◽  
pp. 41-66 ◽  
Author(s):  
P. Melchior
Keyword(s):  
Polar Motion ◽  
Scientific Community ◽  
Circular Motion ◽  
Computing Power ◽  
The Earth ◽  
Fixed Pole ◽  
One Year ◽  
Elliptical Motion ◽  
The Impact ◽  
Chandler Period

AbstractThe discovery by Seth C. Chandler (1891) that the motion of the pole (the reality of which had been established by K.F. Küstner and by the simultaneous latitude observations at Honolulu and Berlin by German astronomers) resulted from two components i.e. a free circular motion with a period of 427 days and a forced elliptical motion with a period of 365.25 days, raised considerable interest in the scientific community of astronomers and geophysicists.The celebrated Mécanique Céleste of Tisserand (1890) had been published just one year before at a time when doubts still persisted and arguments could be presented in favor of the fixed pole. Starting with Tisserand’s arguments, we describe in this paper the impact of the successive contributions by A. Greenhill, S. Newcomb, Th. Sloudsky, S. Hough, G. Herglotz, A. Love, J. Larmor and H. Poincaré to the solution of the problems raised by the Chandler period.The lines of reasoning taken by these eminent scientists were rigorously correct so that, after about one hundred years, contemporary researchers, who benefit from a far better knowledge of the inner structure of the Earth and are able to take advantage of modern computing power, do not contradict any of their conclusions and instead refine them with an accuracy which was not imaginable one century ago.

ON THE ELLIPTICAL MOTION OF THE PLANETS

2010 ◽  
pp. 182-212
Author(s):  
Mary Somerville ◽  
Pierre Simon Laplace
Keyword(s):  
Elliptical Motion

Recognition and analysis of precessing elliptical motion in paleomagnetic records

1993 ◽  
Vol 98 (B2) ◽  
pp. 1751-1757 ◽  
Author(s):  
Richard M. Darke ◽  
Robert M. Negrini
Keyword(s):  
Elliptical Motion

Research of a Ring-Type Linear Ultrasonic Motor

2011 ◽  
Vol 211-212 ◽  
pp. 254-258
Author(s):  
Jun Kao Liu ◽  
Wei Shan Chen ◽  
Zhen Yu Xue
Keyword(s):  
Traveling Wave ◽  
Transient Analysis ◽  
Ultrasonic Motor ◽  
Maximum Speed ◽  
Vibration Modes ◽  
Bending Vibration ◽  
Ring Type ◽  
Linear Ultrasonic Motor ◽  
Working Principle ◽  
Elliptical Motion

A new ring-type linear ultrasonic motor is proposed in this study. In this new design, bending vibration traveling wave is generated in a long ring by two groups of PZT ceramics bonded on the inner sides of the linear beams. Elliptical trajectory motions can be formed at particles on the teeth, which can realize the linear driving by frictional force. The working principle of the proposed design is introduced. Two bending vibration modes that have a phase difference of 90deg on space are analyzed. The elliptical motion trajectory of node on the tooth gained by the transient analysis verifies the excitation of bending traveling wave. A prototype motor is fabricated and measured, and a maximum speed of 15mm/s is reached.

scholarly journals Geodesic Effect Near an Elliptical Orbit

2012 ◽  
Vol 2012 ◽  
pp. 1-8
Author(s):  
Alina-Daniela Vîlcu
Keyword(s):  
Gravitational Field ◽  
Elliptical Orbit ◽  
Newtonian Mechanics ◽  
The Sun ◽  
Classical Approach ◽  
De Sitter ◽  
Lagrange Equations ◽  
The Earth ◽  
Elliptical Motion

Using a differential geometric treatment, we analytically derived the expression for De Sitter (geodesic) precession in the elliptical motion of the Earth through the gravitational field of the Sun with Schwarzschild's metric. The expression obtained in this paper in a simple way, using a classical approach, agrees with that given in B. M. Barker and R. F. O'Connell (1970, 1975) in a different setting, using the tools of Newtonian mechanics and the Euler-Lagrange equations.

Marx on the Dialectics of Elliptical Motion

2012 ◽  
Vol 20 (4) ◽  
pp. 3-38 ◽  
Author(s):  
Thomas Weston
Keyword(s):  
Textual Evidence ◽  
And Mathematics ◽  
Elliptical Motion ◽  
Physical Phenomena ◽  
Widespread View

Abstract It is a widespread view that Marx did not apply dialectics to nature, and that Engels’s writings on this subject are a distortion of his outlook. This paper examines Marx’s discussion of elliptical motion and some other physical phenomena, and shows that he did indeed find contradictions and oppositions in nature, and thus recognised a dialectics of nature. In addition to analysing relevant passages in Marx’s texts, his study of the physics and mathematics of elliptical motion is reviewed and compared with Hegel’s position. Marx’s conception of how dialectical contradictions are resolved is reviewed in order to interpret his claim that the contradiction in elliptical motion is ‘solved’ but not ‘overcome’ by that motion. Textual evidence is presented that Marx regarded ‘real contradictions’ as resolved only by ‘development’, a process in which the conflict between the opposing sides of the contradiction becomes more intense. The consequences of this interpretation for Marx’s analysis of elliptical motion are explored, and some alternative interpretations are discussed.

scholarly journals Empirically Bounding of Space Booms with Tape Spring Hinges

2013 ◽  
Vol 20 (3) ◽  
pp. 503-517 ◽  
Author(s):  
A.L. Jennings ◽  
J. Black ◽  
C. Allen
Keyword(s):  
Large Amplitude ◽  
Large Scale ◽  
Free Fall ◽  
Free Condition ◽  
Elliptical Motion ◽  
Scale Behavior

Self-deploying structures seek to provide a compact launch package for large, lightweight satellite booms. One self-deploying method is a foldable tape spring. This paper examines the large scale behavior of a boom attached by a tape spring hinge during mock deployments. A boom attached by tape spring to a rigid stand was released and the boom bounced up to 60° before coming to rest (as opposed to snap-through behavior). These large amplitude bounces can cause the boom to collide with sensors, other booms or arrays causing damage or preventing full deployment. Results show the first bounce of deployment is nearly bounded by a four parameter ellipse. The ellipses of similar folds are similar also, suggesting that a model can be developed. Free-fall tests simulating the free-free condition found in microgravity also show similar elliptical motion. Envelopes that bound the extents of the boom motion allow for collisions to be prevented by adjustment of the design.

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