New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies

• Date: 1998
• Main Authors: Gadomskii, L. Ya., Grebenikov, E. A., Gurskaya, A. R., Zemtsova, N. I., Гадомскиіі, Л. Я., Гребеников, Е. А., Гурская, А. Р., Земцова, Н. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4934
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The existence of a 5-parameter family of exact solutions is proved for differential equations describing the motion of many bodies that attract one another according to an arbitrary law depending on the distances between the bodies.