Article History
Received: 22 March 2020
Accepted: 25 September 2020
First Online: 16 October 2020
Compliance with ethical standards
:
: On behalf of all authors, the corresponding author states that there is no conflict of interest. In this research, Dr. Sergey Ershkov is responsible for the general ansatz and the solving procedure, simple algebra manipulations, calculations, results of the article in Sects. InternalRef removed–InternalRef removed and also is responsible for the search of approximated solutions. Dr. Dmytro Leshchenko is responsible for theoretical investigations as well as for the deep survey in literature on the problem under consideration. Dr. Alla Rachinskaya is responsible for the numerical code at obtaining the approximated solutions of governing ODEs in the cycle of our mutual works where elliptic restricted three-body problem (ER3BP) has been investigated. All authors agreed with the results and conclusions of each other in Sects. InternalRef removed–InternalRef removed.