Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Gingold, Harry"'
Autor:
Gingold, Harry, Quaintance, Jocelyn
Certain measurements in celestial mechanics necessitate having the origin O of a Cartesian coordinate system (CCS) coincide with a point mass. For the two and three body problems we show mathematical inadequacies in Newton's celestial mechanics equat
Externí odkaz:
http://arxiv.org/abs/2405.15639
Autor:
Gingold, Harry, Quaintance, Jocelyn
This article produces wave equations and constructs traveling wave solutions that are intimately related to Newton's equations of celestial mechanics. The traveling wave solutions are expressed in ``closed form'' in terms of elementary functions. The
Externí odkaz:
http://arxiv.org/abs/2405.13262
Given a postulated set of points, an algebraic system of axioms is proposed for an "arrow space'". An arrow is defined to be an ordered set of two points , named respectively Tail and Head. The set of arrows is an arrow space. The arrow space i
Externí odkaz:
http://arxiv.org/abs/2201.09991
Autor:
Abdulhussein, Ali, Gingold, Harry
It is proven that second-order vectorial nonlinear differential systems y''=f(y) , possess a continuum of symmetric solutions. They are shown to possess a continuum of even solutions. If f(y) is an odd function of y , then y''=f(y) is shown also to p
Externí odkaz:
http://arxiv.org/abs/2112.11528
Autor:
Abdulhussein, Ali, Gingold, Harry
Newton's equations of celestial mechanics are shown to possess a continuum of solutions in which the future trajectories of the N bodies are a perfect reflection of their past. These solutions evolve from zero initial velocities of the N bodies. Cons
Externí odkaz:
http://arxiv.org/abs/2112.11922
Publikováno v:
In Linear Algebra and Its Applications 15 August 2019 575:216-234
Autor:
Elewoday, Mohamed1 (AUTHOR), Gingold, Harry1 (AUTHOR), Quaintance, Jocelyn2 (AUTHOR) jocelynq@seas.upenn.edu
Publikováno v:
Research in Number Theory. 6/23/2022, Vol. 8 Issue 3, p1-24. 24p.
Autor:
Gingold, Harry, Solomon, Daniel
Publikováno v:
In Journal of Differential Equations 5 August 2017 263(3):1813-1842
Autor:
Quaintance, Jocelyn, Gingold, Harry
We point out an inconsistency in Newton's equations of celestial mechanics. A set of differential equations implied by Newton's equations are shown to be free of this inconsistency. We then investigate the integrals of motion associated with this rel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8abde65022f7579bfeeae2449593b58
https://doi.org/10.20944/preprints202210.0277.v1
https://doi.org/10.20944/preprints202210.0277.v1