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Plotting Quartic Solutions in Polar Coordinates

  • To: mathgroup at smc.vnet.net
  • Subject: [mg112459] Plotting Quartic Solutions in Polar Coordinates
  • From: Ed Frank <satchelp at earthlink.net>
  • Date: Thu, 16 Sep 2010 05:59:53 -0400 (EDT)
  • Reply-to: Ed Frank <satchelp at earthlink.net>

I have used "Solve" in (M7HE) to provide solutions to a Quartic equation in (r,Phi), and have attempted to plot the results in Polar coordinates without much success.
Can I send you what I have done - in an email attachment perhaps - and ask for your comments?
The equation involves the 2 variables (r, Phi) and a single, constant (though adjustable) parameter:
r^4 - (2 Cos[2*[Phi]]) r^2 - (a - 1) == 0
These are "Cassinian Ovals" for different vales of "a".

I think part of the problem may be in the self-defined formulas I created to consolidate the solution(s).
PolarPlot seems to plot a Test constant value OK, but won't plot my solution formulas.

Thanks,
Ed Frank
satchelp at earthlink.net




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