[6] Okhotsimsky's leadership was instrumental in the development within his department of the remarkable group of young talents collectively nicknamed "Keldysh boys".

[9] Okhotsimsky's team, along with a group managed by Mikhail Tikhonravov at NII-4, did analysis and optimization of multi-stage rocket designs.

Okhotsimsky studied the general problem of how rockets could increase their range by dropping parts of their construction during flight.

A few successful models of 6-legged walking robots were created including systems with autonomous vision able to climb the stairs and handle complicated terrain.

[10] In the work of Okhotsimsky and his school realistic mechanical modeling of the motion was typically combined with sophisticated algorithms adapted to the context of a particular task.

Until his last days he remained a staunch supporter of the leading role of the Academy of Science as a center of fundamental research in Russia.

Okhotsimsky was one of the 5 initiators of the creation of the Department of Control and Applied Mathematics at the Moscow Institute of Physics and Technology.