How High Can a Ground-Launched Projectile Reach?

In summary, the projectile must rely on its own kinetic energy after release from the projecting mechanism, with no new energy given to it after release. The height of the launching apparatus does not count, so it is assumed that the release takes place at ground level. The most powerful tool for shooting unpowered projectiles is the US Navy's experimental rail gun, capable of firing a shot 200 miles across the Earth and potentially achieving impressive heights. However, this is still in the experimental stage and has not been tested for unpowered launches from Earth's surface. Other projects, such as HARP, have achieved record heights for fired projectiles, but still fall short of escape velocity and may not be practical for launching satellites due to the high acceleration and potential
  • #1
AtomicJoe
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Note the the projectile must rely on it's own kinetic energy after release from the projecting mechanism.

Also is there a practical limit on the hight which can be achieved.

No new energy given to the projectile after release.
the hight of the launching apparatus does not count thus assume the release takes
place at ground level to all extents and purposes.
 
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  • #2
The most powerful tool for shooting unpowered projectiles is probably the US navy's experimental rail gun http://nydn.us/fGMVT2 Capable of firing a shot 200 miles across the Earth I imagine it would be able to fire quite high too.
 
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  • #3


Voyager 1? =D Highest it has gone is to the outer rim of the solar system, and still is going.
 
  • #4


Bloodthunder said:
Voyager 1? =D Highest it has gone is to the outer rim of the solar system, and still is going.

Lol true but I think the OP is specifically referring to a projectile fired from Earth rather than launched on a rocket.
 
  • #5


The only reference there to an actual shot fired is of a distance of 5,500 feet. (about 1 mile)
Which is somewhat short of the 200 miles you quote, and indeed rather unimpressive to say the least.
The 200 miles seems to be an aspiration to be reached in 2025, there is also a figure of 100 miles mentioned although it is rather unclear if that distance was actually reached in practise or is some sort derived figure which may not be practically possible.
 
  • #6


AtomicJoe said:
The only reference there to an actual shot fired is of a distance of 5,500 feet. (about 1 mile)
Which is somewhat short of the 200 miles you quote, and indeed rather unimpressive to say the least.
The 200 miles seems to be an aspiration to be reached in 2025, there is also a figure of 100 miles mentioned although it is rather unclear if that distance was actually reached in practise or is some sort derived figure which may not be practically possible.

That's why I said "experimental". However it has launched a projectile at mach 8. As this is a record for a projectile I would estimate that under the right conditions it would be the best candidate. Unless you wanted to point a linear accelerator up and opened the end of it at the last second.
 
  • #7


I know that Gerald Bull was trying to design guns that could launch satellites into orbit from the Earth's surface. I think his record was an altitude of around 180 km, achieved as part of the HARP (High Altitude Research Program). I don't know if anyone has ever beaten that ... I don't think unpowered ballistic launches to orbit from the surface of the Earth have ever been demonstrated.
 
  • #9


OK this seem to verify 179km.

http://www.daviddarling.info/encyclopedia/H/HARP.html

By the end of 1965, HARP had fired more than a hundred missiles to heights of over 80 km. In Nov. 19, 1966, the Army Ballistics Research Laboratory used a HARP gun to launch an 84-kg Martlet to an altitude of 179 km – a world record for a fired projectile that still stands.
 
  • #11


Anyhow that is nowhere near the escape velocity of earth, something I had suspected from my initial question, hence it is hard to see it ever being used as a launch mechanism.
 
  • #12


Even a measly .22 Long Rifle round can travel in excess of a mile. Some Googling is in order folks.
 
  • #13


This link* shows an interesting answer to the question of what escape velocity is when resistance is taken into account. It obviously depends on the shape, size, air density and drag coefficient of the projectile however the poster there concludes that for his hypothetical object escape velocity only increases from 11kps to 15kps.

Obviously HARP was discontinued but if the money was there a cannon capable of launching a projectile to orbit could be built. Why we would ever want to do that is another issue...

*http://physics.stackexchange.com/qu...stance-what-is-the-escape-velocity-from-earth
 
  • #14


AtomicJoe said:
Anyhow that is nowhere near the escape velocity of earth, something I had suspected from my initial question, hence it is hard to see it ever being used as a launch mechanism.

Launch mechanism? You wouldn't want a satellite or a ship subjected to such tremendous accelerations.
 
  • #15


ryan_m_b said:
This link* shows an interesting answer to the question of what escape velocity is when resistance is taken into account. It obviously depends on the shape, size, air density and drag coefficient of the projectile however the poster there concludes that for his hypothetical object escape velocity only increases from 11kps to 15kps.

Obviously HARP was discontinued but if the money was there a cannon capable of launching a projectile to orbit could be built. Why we would ever want to do that is another issue...

*http://physics.stackexchange.com/qu...stance-what-is-the-escape-velocity-from-earth

I read the escape velocity was mach 45 or 15 kps maybe they already too things into account.
 
  • #16


Oudeis Eimi said:
Launch mechanism? You wouldn't want a satellite or a ship subjected to such tremendous accelerations.

Not a problem really is if a crew less satellite.
 
  • #17


AtomicJoe said:
I read the escape velocity was mach 45 or 15 kps maybe they already too things into account.

Escape velocity without atmosphere is 11kmps. With atmosphere it depends on the object but the link I gave above concluded 15kmps for the projectile listed.
 
  • #18


AtomicJoe said:
Not a problem really is if a crew less satellite.

A rocket gets to spread it's acceleration over minutes and tens-hundreds of km. A cannon would reduce this to barely seconds over hundreds of meters at best. The acceleration experienced by a cannon would be 2-3 orders of magnitude greater (potentially more) Satellites contain delicate and horrifically expensive equipment, you wouldn't want to fire it out of a cannon anymore than you would want to fire a cannon at it.
 
  • #19


Seems to me the main problem is going to be the heat.
 
  • #20


ryan_m_b said:
Escape velocity without atmosphere is 11kmps. With atmosphere it depends on the object but the link I gave above concluded 15kmps for the projectile listed.

Was it this link, if not here is another.
http://astroprofspage.com/archives/487

Leaves out the maths!

(until the end anyway).
 
  • #21


AtomicJoe said:
Seems to me the main problem is going to be the heat.

True. IIRC NASA's X-43 reached nose temperatures of over 1000 degrees and it was only traveling at mach 10.
AtomicJoe said:
Was it this link, if not here is another.
http://astroprofspage.com/archives/487

Leaves out the maths!

(until the end anyway).

The link is in comment 13
 
  • #22


ryan_m_b said:
True. IIRC NASA's X-43 reached nose temperatures of over 1000 degrees and it was only traveling at mach 10.

The link is in comment 13

Indeed, and that would have been traveling at high altitude, ie over 30,000 meters.
The problem with a ground launch is the atmosphere is much thicker down there where it's speed must be highest.

I think it is fair to say that any projectile would have pretty much vaporised at such speeds.

I am not sure of the relationship between the speed and the temperatures but I doubt it is linear. I expect it is related to the square of the speed, thus you might be talking about
20,000 degrees. Which is almost 5 times higher than the melting point of any known material.

So it seems you will end up with a big puff of vapour.
 
  • #24


tedbmoss said:
Supposedly it could hit the sun.
Citation?
 
  • #25


DaveC426913 said:
Citation?

Well it's a big target you could hardly miss it!
 
  • #26


Interesting I am trying to find out some info about this harp gun.

Anyway from here:-
http://www.astronautix.com/stages/harpgun.htm


250 kg projectile accelerated at 13,000 peak G's to 2,300 m/s muzzle velocity

This 2,300 m/s is the fastest muzzle velocity I can find.

Anyhow those seem like the sort of speeds at which you will have serious heat problems perhaps, maybe also that is why the stopped the project.


Furthermore it seems this is not actually a gun at all!

It seems like it fires a rocket.

As you can see here it seems to be a gun fired rocket, which is ineligible!

http://www.astronautix.com/articles/abroject.htm

The altitude reported earlier of about 180km is wrong as it is no applicable to a gun.
 
  • #27


AtomicJoe said:
Furthermore it seems this is not actually a gun at all!

It seems like it fires a rocket.

As you can see here it seems to be a gun fired rocket, which is ineligible!

I wondered that too. No. They're just ballistic missiles.

Read.
 
  • #28


So I expect it is possible to calculate a pretty much maximum possible height because I believe there comes a point at which the projectile is going to melt in the barrel with probably rather unpleasant consequences!

That was kind of the whole point of the initial thread. :smile:

So I think some of the comments aimed at me have been rather unfair.
 
  • #29


AtomicJoe said:
So I expect it is possible to calculate a pretty much maximum possible height because I believe there comes a point at which the projectile is going to melt in the barrel with probably rather unpleasant consequences!

That was kind of the whole point of the initial thread. :smile:

Except that that's simply an engineering problem. It is simply a matter of someone being clever enough to tinker with it until it goes faster.

For example, who needs a barrel at all?



("simply". Ha ha. The engineers are strangling themselves right now.)
 
  • #30


DaveC426913 said:
Except that that's simply an engineering problem. It is simply a matter of someone being clever enough to tinker with it until it goes faster.

For example, who needs a barrel at all?



("simply". Ha ha. The engineers are strangling themselves right now.)


Well the problem seems to be that it needs to be fired at such a speed that projectile will burn up. That will it seems happen whether you have a barrel or not.

One way round it would be to use a bigger projectile or there would be something left after the melt but that just seems to scale up the problem.

I just can't see it being possible to escape Earth's gravity whatever method you use.

Getting rid of the barrel would create more problems than it solves I would imagine.
 
  • #31


Aw come on guys, the bullet fired from yuma was a small aluminum slug in a sabot. At least that was the final stage, the gun holds the record for shooting from the ground onto space whatever the distance was. see HARP
 
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  • #32


AtomicJoe said:
Interesting I am trying to find out some info about this harp gun.

Anyway from here:-
http://www.astronautix.com/stages/harpgun.htm250 kg projectile accelerated at 13,000 peak G's to 2,300 m/s muzzle velocity

This 2,300 m/s is the fastest muzzle velocity I can find.

Anyhow those seem like the sort of speeds at which you will have serious heat problems perhaps, maybe also that is why the stopped the project.Furthermore it seems this is not actually a gun at all!

It seems like it fires a rocket.

As you can see here it seems to be a gun fired rocket, which is ineligible!

http://www.astronautix.com/articles/abroject.htm

The altitude reported earlier of about 180km is wrong as it is no applicable to a gun.

From the HARP page on wikipedia:
"HARP used a non-rocket spacelaunch method based on a very large gun to fire the models to high altitudes and speeds."

And

"The project was based on a flight range of the Seawell Airport in Barbados, from which shells were fired eastward toward the Atlantic Ocean. Using an old U.S. Navy 16 inch (406 mm) 50 caliber gun (20 m), later extended to 100 caliber (40 m), the team was able to fire a 180 kilogram slug at 3,600 meters per second (13,000 km/h), reaching an altitude of 180 kilometers. "

So, no .. my reference of 180 km is most certainly applicable to your OP. As a wise man already advised on this thread: Read.
 
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  • #33


We have been through all this before you need to define stuff for these sorts of questions.

Modify the LHC a bit and you could definitely fire a big clump of protons out of the planet at 99% the speed of light but are a clump of protons considered a projectile in your definition.
 
  • #34


The protons would not get very far IMO the they would disperse in the atmosphere fairly rapidly.
 
  • #35


Possibly during http://en.wikipedia.org/wiki/Operation_Plumbbob" :

During the Pascal-B nuclear test, a heavy (900 kg) steel plate cap (a piece of armor plate) was blasted off the top of a test shaft at an unknown speed. The test's experimental designer Dr. Brownlee had performed a highly approximate calculation that suggested that the nuclear explosion, combined with the specific design of the shaft, would accelerate the plate to six times escape velocity. The plate was never found, but Dr. Brownlee believes that the plate never left the atmosphere (it may even have been vaporized by compression heating of the atmosphere due to its high speed). The calculated velocity was sufficiently interesting that the crew trained a high-speed camera on the plate, which unfortunately only appeared in one frame, but this nevertheless gave a very high lower bound for the speed. After the event, Dr. Robert R. Brownlee described the best estimate of the cover's speed from the photographic evidence as "going like a bat!"
 
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