If Mstar=1E30kg (about half the sun), Mearth=1E25kg (a slight overestimate), r=1E11m (a bit under 10AU), we get F = 1E33.G = 1E23N (about) giving a=F/Mearth=0.01m/s^2. Integrating over a year gives 315km/s, albeit presumably in a varying direction, about ten times the earth's current max orbital speed of 30km/s, which suggests cause for concern. (The sun would be moving in the same direction but, of course, much less.)
Numbers from wikipedia, calculations on the back of a bit of scrap paper, please do check for errors l-)
Yes, if it happened to end up near Saturn (or Uranus or Neptune) then that could lead to gas giants flying around in potentially dangerous ways, but there's loads of space for them to avoid one another in - I don't thnk there's any particular reason that the interloper should spend much time near the ecliptic.
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(no subject)
Date: 2006-09-11 09:37 am (UTC)If Mstar=1E30kg (about half the sun), Mearth=1E25kg (a slight overestimate), r=1E11m (a bit under 10AU), we get F = 1E33.G = 1E23N (about) giving a=F/Mearth=0.01m/s^2. Integrating over a year gives 315km/s, albeit presumably in a varying direction, about ten times the earth's current max orbital speed of 30km/s, which suggests cause for concern. (The sun would be moving in the same direction but, of course, much less.)
Numbers from wikipedia, calculations on the back of a bit of scrap paper, please do check for errors l-)
(no subject)
Date: 2006-09-11 10:04 am (UTC)(no subject)
Date: 2006-09-11 10:11 am (UTC)(no subject)
Date: 2006-09-12 09:11 am (UTC)Would you like to reconsider that thought? (Or do I hear Galileo turning in his grave?)
(no subject)
Date: 2006-09-12 09:15 am (UTC)