Photo by kaboompics from unsplash
For a singleton planet $P$ with gravitational potential $V$, we show that for each $\varepsilon > 0$ there exists a planet $P'$ with gravitational potential $V'$, with $(P',V')$ "$\varepsilon$-close" to… Click to show full abstract
For a singleton planet $P$ with gravitational potential $V$, we show that for each $\varepsilon > 0$ there exists a planet $P'$ with gravitational potential $V'$, with $(P',V')$ "$\varepsilon$-close" to $(P,V)$ (in an appropriate $C^0$-sense) for which the spherical harmonic expansion of $V'$ does not extend more than a distance $\varepsilon$ below the Brillouin sphere of $P'$.
Keywords:
harmonic expansion;
spherical harmonic;
brillouin sphere;
gravitational potential
Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!