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SUMMARY:A non-perturbative method for gravitational potential calculations
  within heterogeneous and aspherical planets - Mr Matthew Maitra (Bullard 
 Laboratories\, University of Cambridge)
DTSTART:20200308T164000Z
DTEND:20200308T170000Z
UID:TALK140872@talks.cam.ac.uk
CONTACT:Trinity College Science Society
DESCRIPTION:We present a numerically exact method for calculating the inte
 rnal and external gravitational potential of aspherical and heterogeneous 
 planets. Our approach is based on the transformation of Poisson’s equati
 on into an equivalent equation posed on a spherical computational domain. 
 This new problem is solved in an efficient iterative manner based on a hyb
 rid pseudospectral/spectral element discretization. The main advantage of 
 our method is that its computational cost reflects the planet’s geometri
 c and structural complexity\, being in many situations only marginally mor
 e expensive than boundary perturbation theory. Several numerical examples 
 are presented to illustrate the method’s efficacy and potential range of
  applications.
LOCATION:Winstanley Lecture Hall\, Trinity College
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