Muhammad Ali Ismail^*, Maria Waqas, Farah Sadiq

Computer Systems Science and Engineering, Vol.41, No.3, pp. 1143-1155, 2022, DOI:10.32604/csse.2022.021604

Abstract The N-body problem in classical physics, is the calculation of force of gravitational attraction of heavenly bodies towards each other. Solving this problem for many heavenly bodies has always posed a challenge to physicists and mathematicians. Large number of bodies, huge masses, long distances and exponentially increasing number of equations of motion of the bodies have been the major hurdles in solving this problem for large and complex galaxies. Advent of high performance computational machines have mitigated the problem to much extent, but still for large number of bodies it consumes huge amount of resources and days for computation. Conventional… More >

D.J. Scheeres¹

CMES-Computer Modeling in Engineering & Sciences, Vol.111, No.3, pp. 203-227, 2016, DOI:10.3970/cmes.2016.111.203

Abstract The minimum energy and stable configurations in the spherical, equal mass full 4-body problem are investigated. This problem is defined as the dynamics of finite density spheres which interact gravitationally and through surface contact forces. This is a variation of the gravitational n-body problem in which the bodies are not allowed to come arbitrarily close to each other (due to their finite density), enabling the existence of resting configurations in addition to orbital motion. Previous work on this problem has outlined an efficient and simple way in which the stability of configurations in this problem can be defined. This methodology… More >