We study the possible values of the nodal distance $deltanod$ between two non-coplanar Keplerian trajectories ${cal A}, {cal A}'$ with a common focus. In particular, given ${cal A}'$ and assuming it is bounded, we compute optimal lower and upper bounds for $deltanod$ as functions of a selected pair of orbital elements of ${cal A}$, when the other elements can vary. This work arises in the attempt to extend to the elliptic case the optimal estimates for the orbit distance given in cite{GV2013} in case of a circular trajectory ${cal A}'$. These estimates are relevant to understand the observability of celestial bodies moving (approximately) along ${cal A}$ when the observer trajectory is (close to) ${cal A}'$.
On the nodal distance between two Keplerian trajectories with a common focus
Giovanni F. GronchiPrimo
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In corso di stampa
Abstract
We study the possible values of the nodal distance $deltanod$ between two non-coplanar Keplerian trajectories ${cal A}, {cal A}'$ with a common focus. In particular, given ${cal A}'$ and assuming it is bounded, we compute optimal lower and upper bounds for $deltanod$ as functions of a selected pair of orbital elements of ${cal A}$, when the other elements can vary. This work arises in the attempt to extend to the elliptic case the optimal estimates for the orbit distance given in cite{GV2013} in case of a circular trajectory ${cal A}'$. These estimates are relevant to understand the observability of celestial bodies moving (approximately) along ${cal A}$ when the observer trajectory is (close to) ${cal A}'$.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
