Titan is the eighteenth ellipsoid moon from Saturn.
 The surface area of an ellipsoid of revolution (or spheroid) may be expressed in terms of elementary functions:                              S                      oblate                          =        2                          a                      2                                    (                      1            +                                                            c                                      2                                                                    e                                      a                                          2                                                                                            artanh                        e                    )                ,                          where                           e                      2                          =        1                                                    c                              2                                                    a                              2                                                               and                 (        c        <        a        )        ,              {\displaystyle S_{\text{oblate}}=2\pi a^{2}\left(1+{\frac {c^{2}}{ea^{2}}}\operatorname {artanh} e\right),\qquad {\text{where }}e^{2}=1-{\frac {c^{2}}{a^{2}}}{\text{ and }}(c<a),}  or                              S                      oblate                          =        2                          a                      2                                    (                      1            +                                                            1                                                        e                                          2                                                                      e                                      artanh                        e                    )                      {\displaystyle S_{\text{oblate}}=2\pi a^{2}\left(1+{\frac {1-e^{2}}{e}}\operatorname {artanh} e\right)}  or                              S                      oblate                          =        2                          a                      2                                   +                                                                          c                                  2                                                      e                          ln                                                    1              +              e                                      1                            e                                            {\displaystyle S_{\text{oblate}}=2\pi a^{2}\ +{\frac {\pi c^{2}}{e}}\ln {\frac {1+e}{1-e}}}  and                               S                      prolate                          =        2                          a                      2                                    (                      1            +                                          c                                  a                  e                                                      arcsin                        e                    )                                  where                           e                      2                          =        1                                                    a                              2                                                    c                              2                                                               and                 (        c        >        a        )        ,              {\displaystyle S_{\text{prolate}}=2\pi a^{2}\left(1+{\frac {c}{ae}}\arcsin e\right)\qquad {\text{where }}e^{2}=1-{\frac {a^{2}}{c^{2}}}{\text{ and }}(c>a),}  which, as follows from basic trigonometric identities, are equivalent expressions (i
Jacobi ellipsoid, a triaxial ellipsoid formed by a rotating fluidCrystallographyIndex ellipsoid, a diagram of an ellipsoid that depicts the orientation and relative magnitude of refractive indices in a crystal

