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    $\begingroup$ Welcome ! there are a few things that would help clarify any answers to your question(s). - What are the diameters of the locked planets, how far apart are they and at what distance to the parent star? $\endgroup$
    – Joe
    Commented Jul 26, 2018 at 21:18
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    $\begingroup$ Welcome to Worldbuilding,Wolf E. B.! If you have a moment, please take the tour and visit the help center to learn more about the site. You may also find Worldbuilding Meta and The Sandbox (both of which require 5 rep to post on) useful. Here is a meta post on the culture and style of Worldbuilding.SE, just to help you understand our scope and methods, and how we do things here. Have fun! $\endgroup$
    – Gryphon
    Commented Jul 26, 2018 at 21:19
  • $\begingroup$ I'd like to ask a few more questions also: are the planets' axes tilted? Earth has a 22 degree axial tilt. This will help resolve your last question. $\endgroup$
    – JSCoder says Reinstate Monica
    Commented Jul 26, 2018 at 21:27
  • $\begingroup$ Thanks for the responses. Each planet is about 4200 miles in diameter. Their distance from the sun is similar to Earth's, but I haven't determined how far apart from each other they are; I don't know how to calulate that to get the rotation speed I want. $\endgroup$
    – Wolf E. B.
    Commented Jul 27, 2018 at 4:45
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    $\begingroup$ The magnetic poles part i think is the least plausible of your scenario. While i dont know much about why Uranus has such a weird magnetic phenomenon, it probably has more to do with it being an Ice Giant. I dont think metallic planets like earth would be possible to have strong poles in such a way. Most of the field is produced due the the rotation of the inner core. It's not likely that the core would rotate perpendicular to the rotation of the surface. Just about everything in a star system rotates around the same axis that it orbits on, unless its a captured body. $\endgroup$
    – Stephan
    Commented Aug 2, 2018 at 20:09