The long-period motion of the plane of a distant circular orbit

We consider Earth satellites in the region where the perturbing effects due to Earth’s oblateness and luni-solar gravitational forces are comparable. A general solution is obtained for simultaneous precession about any number of fixed axes; this is an extension of Laplace’s treatment for the motion of Iapetus about Saturn. Results are given for general orbits on the assumption that the lunar orbit lies in the ecliptic. Synchronous orbits are considered in greater detail.

2010 ◽  
Vol 122 (0) ◽  
pp. 195-200
Author(s):  
Toshio ISEKI ◽  
Daisuke KAWAMURA

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 680-683 ◽  
Author(s):  
D. F. BARTLETT

This work gives a specific proposal for how KL→ππ may be caused by gravitational forces. A consequence is that η+- varies with a very long period.


1935 ◽  
Vol 25 (1) ◽  
pp. 62-80 ◽  
Author(s):  
Perry Byerly

Summary The P travel-time curve of the Nevada earthquake is presented. It is drawn as a series of straight lines. It is near Δ = 28° that the data outline most clearly the sudden change in slope of the curve, but definite evidence of overlapping of the branches is lacking. At Δ = 67° (approximately) the curve branches into two parts as did the curve of the Texas earthquake. Between 4° and 12° three parallel P curves are drawn. The suggested explanation of them is that they are due to transformations of an original P or S at boundaries near the focus. This would indicate a depth of focus of about fifteen kilometers. The nature of the first motion at the various stations shows a complex distribution which does not lead to a simple explanation of the forces acting at the focus. A long-period component of P waves is observed, and it is concluded that it is present from very near the beginning of the record, although often masked by shorter-period motion. It begins in opposite phase to the shorter-period motion accompanying it.


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