by neufer » Sat Jul 07, 2012 6:11 pm
Rusty Schweickart wrote:
Sorry APOD... you are out of date. Many years ago we (B612 Foundation) worked with NASA when their Prometheus mission was in planning. It was a HUGE ion engine propelled spacecraft... which we realized could be easily modified to have gravity tractor (GT) capability. This led detractors to claim that the GT had to be a HUGE spacecraft. NOT! Any spacecraft using electric propulsion can serve as a GT and e.g. deflecting Apophis from the 2029 keyhole would require a 1 metric ton spacecraft (modest size) only a month or so of towing to avoid the keyhole/impact.
You are talking about a
very special situation where, presumably, it is only necessary for the asteroid to avoid a 660 meter keyhole (rather than a 12,742,000 meter planet) on its first pass by earth.
If we were 100% certain that Apophis WAS aimed at the keyhole then Apophis' velocity need only to be changed by ~16 cm/h (vs. ~1 cm/s in the APOD) to avoid that keyhole.
However, the size of the 660 meter keyhole is miniscule compared with the current (2006) ~3,200,000 m dynamical uncertainties!
The APOD tractor is, in fact,
far too small to guarantee that 400 m Apophis would avoid the keyhole.
If only we could be more certain of Apophis dynamics:
http://en.wikipedia.org/wiki/Rusty_Schweickart wrote:
<<In May 2005 Schweickart told the U.S. Congress that a mission to attach a device such as a radio transponder to asteroid 99942 Apophis (formerly known as 2004 MN4) should be a high priority; it is estimated that this asteroid has a 1 in 6000 probability of striking the earth in the 21st century. The latest data indicates that the chance of Apophis impacting the earth is 1 in 45,000 in 2036.>>
Far cheaper, perhaps, would be to intercept Apophis with an direct impact (or nuclear weapons) at the 660 meter keyhole itself in 2029 if it should come to that.
http://en.wikipedia.org/wiki/Gravitational_keyhole wrote:
<<The asteroid Apophis was once estimated to have a 2.7% (1 in 37) chance of striking the Earth in 2029. Further observations and revisions of the estimated path of the asteroid have ruled out impact in 2029, but identified a 660 m wide keyhole that the asteroid may pass through on its approach in 2029, thereby causing a deflection that may result in impact in 2036; currently, the estimated probability of impact in 2036 is 1 in 250,000 (0.0004%). Apophis is estimated to be as large as 400 m across, and could cause millions of casualties if it were to hit Earth.
Scientists from the B612 Foundation, a private foundation dedicated to protecting the Earth from asteroid strikes, have proposed that Apophis be nudged out of its present orbit into an orbit that takes it further from the keyhole. NASA scientist David Morrison says, "After 2029, the deflection would have to be vigorous enough to miss not just a tiny keyhole but the much larger target of the Earth itself. And such a deflection is far beyond present technology for an asteroid this large."
Additional observations of the trajectory of Apophis revealed the keyhole would probably be missed.
As of October 7, 2009, the probability of an April 13, 2036 impact is considered to be 1 in 250,000. An additional impact date in 2037 was also identified; the impact probability for that encounter was calculated as 1 in 12.3 million.
The gravitational keyhole for Apophis is only 660 metres in diameter. Calculations showed that if Apophis' velocity could be changed by only 0.00016 km/h, then in three years its orbit would be deflected by more than a mile, enough to miss the keyhole. The problem is that the keyhole is so small that it becomes extremely difficult to predict precisely if Apophis will pass through it or not.
Orbit projections made in 2006 for Apophis in 2029 have a margin of error of about 3,200 km, which as of early 2010 is well within the estimated distance between Apophis (18,600 miles from Earth) and the location of the keyhole (18,893 miles from Earth). As time passes the error ellipse will be reduced but NASA may have to wait until enough data accumulates to reduce the error ellipse to one mile (1.6 km) before it knows if Apophis will hit the keyhole or not.>>
[quote="Rusty Schweickart"]
Sorry APOD... you are out of date. Many years ago we (B612 Foundation) worked with NASA when their Prometheus mission was in planning. It was a HUGE ion engine propelled spacecraft... which we realized could be easily modified to have gravity tractor (GT) capability. This led detractors to claim that the GT had to be a HUGE spacecraft. NOT! Any spacecraft using electric propulsion can serve as a GT and e.g. deflecting Apophis from the 2029 keyhole would require a 1 metric ton spacecraft (modest size) only a month or so of towing to avoid the keyhole/impact.[/quote]
You are talking about a [b][u]very special situation[/u][/b] where, presumably, it is only necessary for the asteroid to avoid a 660 meter keyhole (rather than a 12,742,000 meter planet) on its first pass by earth.
[b][color=#0000FF]If we were [u]100% certain[/u] that Apophis [u]WAS[/u] aimed at the keyhole[/color][/b] then Apophis' velocity need only to be changed by ~16 cm/h (vs. ~1 cm/s in the APOD) to avoid that keyhole.
[b][color=#FF0000]However, the size of the 660 meter keyhole is miniscule compared with the current (2006) ~3,200,000 m dynamical uncertainties![/color][/b]
The APOD tractor is, in fact, [b][u]far too small[/u][/b] to guarantee that 400 m Apophis would avoid the keyhole.
If only we could be more certain of Apophis dynamics:
[quote=" http://en.wikipedia.org/wiki/Rusty_Schweickart"]
<<In May 2005 Schweickart told the U.S. Congress that a mission to attach a device such as a radio transponder to asteroid 99942 Apophis (formerly known as 2004 MN4) should be a high priority; it is estimated that this asteroid has a 1 in 6000 probability of striking the earth in the 21st century. The latest data indicates that the chance of Apophis impacting the earth is 1 in 45,000 in 2036.>>[/quote]
Far cheaper, perhaps, would be to intercept Apophis with an direct impact (or nuclear weapons) at the 660 meter keyhole itself in 2029 if it should come to that.
[quote=" http://en.wikipedia.org/wiki/Gravitational_keyhole"]
<<The asteroid Apophis was once estimated to have a 2.7% (1 in 37) chance of striking the Earth in 2029. Further observations and revisions of the estimated path of the asteroid have ruled out impact in 2029, but identified a 660 m wide keyhole that the asteroid may pass through on its approach in 2029, thereby causing a deflection that may result in impact in 2036; currently, the estimated probability of impact in 2036 is 1 in 250,000 (0.0004%). Apophis is estimated to be as large as 400 m across, and could cause millions of casualties if it were to hit Earth.
Scientists from the B612 Foundation, a private foundation dedicated to protecting the Earth from asteroid strikes, have proposed that Apophis be nudged out of its present orbit into an orbit that takes it further from the keyhole. NASA scientist David Morrison says, "After 2029, the deflection would have to be vigorous enough to miss not just a tiny keyhole but the much larger target of the Earth itself. And such a deflection is far beyond present technology for an asteroid this large."
Additional observations of the trajectory of Apophis revealed the keyhole would probably be missed. [b][color=#0000FF]As of October 7, 2009, the probability of an April 13, 2036 impact is considered to be 1 in 250,000.[/color][/b] An additional impact date in 2037 was also identified; the impact probability for that encounter was calculated as 1 in 12.3 million.
The gravitational keyhole for Apophis is only 660 metres in diameter. Calculations showed that if Apophis' velocity could be changed by only 0.00016 km/h, then in three years its orbit would be deflected by more than a mile, enough to miss the keyhole. The problem is that the keyhole is so small that it becomes extremely difficult to predict precisely if Apophis will pass through it or not. [b][color=#FF0000]Orbit projections made in 2006 for Apophis in 2029 have a margin of error of about 3,200 km[/color][/b], which as of early 2010 is well within the estimated distance between Apophis (18,600 miles from Earth) and the location of the keyhole (18,893 miles from Earth). As time passes the error ellipse will be reduced but NASA may have to wait until enough data accumulates to reduce the error ellipse to one mile (1.6 km) before it knows if Apophis will hit the keyhole or not.>>[/quote]