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#1
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"Wayne.B" wrote in message
... On Fri, 25 Sep 2009 08:08:57 -0400, Tom Francis - SWSports wrote: He estimated that a single sail, six miles across, could boost an object the size of our moon out of orbit and complete one grav of acceleration in ten years. Not to be argumentative, but since the moon already has a surface area far larger than 6 miles across, why isn't it being boosted out of orbit as we speak ? Reflectiveness? Gravity effect of the Earth? No idea... interesting question. For that matter, why isn't the Earth being boosted? -- Nom=de=Plume |
#2
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On Sep 25, 1:34*pm, "nom=de=plume" wrote:
"Wayne.B" wrote in message ... On Fri, 25 Sep 2009 08:08:57 -0400, Tom Francis - SWSports wrote: He estimated that a single sail, six miles across, could boost an object the size of our moon out of orbit and complete one grav of acceleration in ten years. Not to be argumentative, but since the moon already has a surface area far larger than 6 miles across, why isn't it being boosted out of orbit as we speak ? Reflectiveness? Gravity effect of the Earth? No idea... interesting question. For that matter, why isn't the Earth being boosted? -- Nom=de=Plume Both (earth and moon) are being "boosted" by solar pressure, effectively reducing the gravity of the sun by a tiny tiny amount. Put your small payload in circular orbit about the sun WITHOUT the sail and it goes happily about the sun. Unfurl your sail and suddenly the orbit is perturbed a tiny amount due to the force on the sail. Near the sun, assume the force due to sunlight is constant (it really drops as 1/r^2) so your change in velocity of sail is then: v=t*F/m where t is time your sail is unfurled, m is mass of sail + payload and F is force due to sunlight. After some time, furl your sail and you settle into a new orbit. |
#3
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On Sep 25, 2:13*pm, Frogwatch wrote:
On Sep 25, 1:34*pm, "nom=de=plume" wrote: "Wayne.B" wrote in message .. . On Fri, 25 Sep 2009 08:08:57 -0400, Tom Francis - SWSports wrote: He estimated that a single sail, six miles across, could boost an object the size of our moon out of orbit and complete one grav of acceleration in ten years. Not to be argumentative, but since the moon already has a surface area far larger than 6 miles across, why isn't it being boosted out of orbit as we speak ? Reflectiveness? Gravity effect of the Earth? No idea... interesting question. For that matter, why isn't the Earth being boosted? -- Nom=de=Plume Both (earth and moon) are being "boosted" by solar pressure, effectively reducing the gravity of the sun by a tiny tiny amount. Put your small payload in circular orbit about the sun WITHOUT the sail and it goes happily about the sun. *Unfurl your sail and suddenly the orbit is perturbed a tiny amount due to the force on the sail. Near the sun, assume the force due to sunlight is constant (it really drops as 1/r^2) so your change in velocity of sail is then: *v=t*F/m where t is time your sail is unfurled, m is mass of sail + payload and F is force due to sunlight. *After some time, furl your sail and you settle into a new orbit. Whether or not you escape from the sun and then go on to build up more speed depends on the ratio of the force of the sun to the force due to gravity and as both of these vary as 1/r^2, then this depends on the size of the sail. Basically, at any distance you need a sail large enough to outweigh gravity in order to escape from the sun, otherwise you just change your orbit but stay in orbit about the sun. |
#4
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On Sep 25, 2:31*pm, Frogwatch wrote:
On Sep 25, 2:13*pm, Frogwatch wrote: On Sep 25, 1:34*pm, "nom=de=plume" wrote: "Wayne.B" wrote in message .. . On Fri, 25 Sep 2009 08:08:57 -0400, Tom Francis - SWSports wrote: He estimated that a single sail, six miles across, could boost an object the size of our moon out of orbit and complete one grav of acceleration in ten years. Not to be argumentative, but since the moon already has a surface area far larger than 6 miles across, why isn't it being boosted out of orbit as we speak ? Reflectiveness? Gravity effect of the Earth? No idea... interesting question. For that matter, why isn't the Earth being boosted? -- Nom=de=Plume Both (earth and moon) are being "boosted" by solar pressure, effectively reducing the gravity of the sun by a tiny tiny amount. Put your small payload in circular orbit about the sun WITHOUT the sail and it goes happily about the sun. *Unfurl your sail and suddenly the orbit is perturbed a tiny amount due to the force on the sail. Near the sun, assume the force due to sunlight is constant (it really drops as 1/r^2) so your change in velocity of sail is then: *v=t*F/m where t is time your sail is unfurled, m is mass of sail + payload and F is force due to sunlight. *After some time, furl your sail and you settle into a new orbit. Whether or not you escape from the sun and then go on to build up more speed depends on the ratio of the force of the sun to the force due to gravity and as both of these vary as 1/r^2, then this depends on the size of the sail. *Basically, at any distance you need a sail large enough to outweigh gravity in order to escape from the sun, otherwise you just change your orbit but stay in orbit about the sun. More "Waaaaay too much information": It turns out that a perfectly reflective (shiny) surface gets twice the boost from sunlight that a perfectly absorbing (black) surface does simply due to conservation of momentum. Nothing worse than a physicist with time on his hands. |
#5
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"Frogwatch" wrote in message
... Nothing worse than a physicist with time on his hands. This is an inside joke right? Next time, just mention you wear a watch. snerk. -- Nom=de=Plume |
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