For example, say I wanted to calculate the total gravitational field created by a solid sphere inside a hollow and finite cylinder, like in the picture below:

enter image description here

Can I just use the Poisson/Laplace equation to calculate the gravitational field created by the sphere and cylinder separately, and then get the total field by simply adding those together? And would this work for the purposes of calculating both the field and the potential?

So for the above image, would it simply be:

$ \vec{g}_{\text{I}} = \vec{g}^{\text{in}}_{\text{sph}} + \vec{g}^{\text{in}}_{\text{cyl}} $

$ \vec{g}_{\text{II}} = \vec{g}^{\text{out}}_{\text{sph}} + \vec{g}^{\text{in}}_{\text{cyl}} $

$ \vec{g}_{\text{III}} = \vec{g}^{\text{out}}_{\text{sph}} + \vec{g}^{\text{out}}_{\text{cyl}} $

  • $\begingroup$ Yes, you can.... $\endgroup$
    – user65081
    Sep 19 '21 at 18:11
  • $\begingroup$ @Wolphramjonny Ok thanks! $\endgroup$
    – Harry K.
    Sep 19 '21 at 18:15

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