Gravitational Law and Planetary Motion

Richard K. Cooper and Claudio Pellegrini
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Richard K. Cooper: Formerly of Los Alamos National Laboratory
Claudio Pellegrini: University of California at Los Angeles

Chapter Chapter 3 in Modern Analytic Mechanics, 1999, pp 49-71 from Springer

Abstract: Abstract By 1666 Newton and other physicists had found that the force that a particle of mass M produces on another particle of mass m is 3.1 $$F = - G\frac{{mM}}{{{r^2}}}\hat r$$ where r is the distance between the two masses, and $$\hat r$$ is the unit vector pointing from M to m. The force is attractive. The gravitational constant G is 3.2 $$G = (3.3726\pm 0.0005) \times {10^{ - 11}}N{m^2}/k{g^2}$$

Keywords: Angular Momentum; Impact Parameter; Gravitational Potential; Circular Orbit; Semimajor Axis (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4757-5867-2_3

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