What is the density of the solar system per cubic light second outside the Jupiter ecliptic? It would seem logical that there is some amount of material falling from the Oort cloud toward the Sun and other mass concentrations in the Jupiter Ecliptic disc defined by Jupiter's gravitational field.
Is there any research to determine the distribution of this material related to the the Massive objects in the the system ?
I assume you want density expressed in units of average mass in kg per cubic light second.
An ecliptic plane is infinitely thin, so we might assume this is irrelevant to the question.  Perhaps you meant &quot;not including matter within a Jupiter radii of the Jupiter ecliptic,&quot; but this isn't very clear from the question.
The Solar System is defined as all objects gravitationally bound to the Sun, so it doesn't have a volume per se.  For example, when Oumuamua cruised by the Sun, it was never part of the Solar System because it always had greater than escape velocity.  But the interplanetary medium is not a perfect vacuum, but is rather about 5 particles per cubic centimeter. Even the interstellar medium isn't quite a vacuum.
If we assume the edge of the Solar System is at the edge of the Oort cloud at 50,000 AU, which is given as an answer to Where does the Solar System end? Then the volume of the Solar System is $4/3\pi r^3$ or $5.24\times 10^{14}$ cubic AU, or $6.5\times 10^{22}$ cubic light seconds.  The mass of the Solar System is well approximated by the mass of the Sun, or about $2\times 10^{30}$ kg.  So the Solar System average density is about $3.07\times 10^{7}$ kg per cubic light second.