NASA NTRS · 19650010513
Gauss quadrature formula for approximate integration by computer - numerical integration
Explore connections, maps & timelines
Goldstein, C. M.. 1965-01-01. Numerical integration by gaussian quadrature. https://ntrs.nasa.gov/citations/19650010513
Cite the original work for its findings. Save a collection to share your selection of sources.
KEEP EXPLORING
Numerical integration of nonlinear differential equations by use of rational approximation
Calculating method for parachute opening forces, system velocity, cloth pressure loading and filling time for horizontal and vertical deployment conditions
The problem of finding periodic orbits in the circular restricted three-body problem has been very extensively studied in celestial mechanics. It is well known that continuous families of periodic orbits exist, for which the period varies in a continuous way. However, all the applications which are found in the solar system correspond to cases with non-zero eccentricities, and the elliptic restricted three-body problem is thus a better approximation than the circular one. For instance, for the motion of a satellite in the Earth-Moon system, as a first approximation, we may assume that the Moon moves around the Earth in circular motion; but as a much better approximation, we can also assume that the Moon moves in an elliptic orbit around the Earth.