2009
DOI: 10.1063/1.3078419
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The gravitational ellipse

Abstract: The elliptical orbit of the classical gravitational two-body problem can be determined by studying the free oscillations about a circular motion or the small motions around a fixed point in a rotating reference frame. In this last schematization we approximate the differential equation of motion by a succession of simple equations we solve iteratively, obtaining a piecemeal determination of the position vector r formally expressed in terms of Laurent polynomials, from which we quickly deduce the explicit time-… Show more

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Cited by 7 publications
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“…and that is equal to Equation (6). The earth's mass M 1 is proportional to the number of atomic oscillators 69.9 on earth, i.e.…”
Section: × S = E Hmentioning
confidence: 99%
“…and that is equal to Equation (6). The earth's mass M 1 is proportional to the number of atomic oscillators 69.9 on earth, i.e.…”
Section: × S = E Hmentioning
confidence: 99%