Most likely, the trajectory should be such that the tangent to it at any given moment passes through both heroes in this scenario (the girl will naturally be the point of tangency).;) An Archimedean spiral or something similar...
Added 1 minute ago
at least give explanations as to what this will lead to
Если где-то чего-то убудет, то в другом месте добавится.
(Закон сохранения).