Re: [Vo]:[OT]Star Object Ejection Process

2014-01-11 Thread David L Babcock

The bad news negates itself:

Considering C of E, a miss-aimed craft could not apply more energy to a 
planet than was originally applied to the craft to bring it up to speed. 
A continent-melting crash requires that more than a continent-melting 
supply of fuel has been applied to/used by the craft.


Another consideration:  The craft has to carry with it a similar amount 
of energy, stored, to use for deceleration. And twice that again, to 
come home.


If you account for different depths of gravity wells, it comes out 
different, but not much.  We were talking about speeds up towards light, no?


So conservation of energy, having obliterated CF (a little gratuitous 
snark), now moves on to ruin our dreams of visiting other stars.


Dave B.


On 1/10/2014 5:14 PM, David Roberson wrote:

That is amazing!   -snip-
I have never considered how much damage a space craft traveling near 
light speed would inflict, but apparently it would be bad news.


Dave






Re: [Vo]:[OT]Star Object Ejection Process

2014-01-11 Thread Axil Axil
http://en.wikipedia.org/wiki/Bussard_ramjet

The *Bussard ramjet* is a theoretical method of spacecraft
propulsionhttp://en.wikipedia.org/wiki/Spacecraft_propulsionproposed
in 1960 by the physicist Robert
W. Bussard http://en.wikipedia.org/wiki/Robert_W._Bussard,
popularized by Poul
Anderson http://en.wikipedia.org/wiki/Poul_Anderson's novel *Tau Zero
http://en.wikipedia.org/wiki/Tau_Zero*, Larry
Nivenhttp://en.wikipedia.org/wiki/Larry_Nivenin his Known
Space http://en.wikipedia.org/wiki/Known_Space series of books, Vernor
Vinge http://en.wikipedia.org/wiki/Vernor_Vinge in his Zones of
Thoughthttp://en.wikipedia.org/wiki/Zones_of_Thoughtseries, and
referred to by Carl
Sagan http://en.wikipedia.org/wiki/Carl_Sagan in the
televisionhttp://en.wikipedia.org/wiki/Televisionseries and
book http://en.wikipedia.org/wiki/Cosmos_(book) *Cosmos
http://en.wikipedia.org/wiki/Cosmos:_A_Personal_Voyage*.
Bussard proposed a ramjet http://en.wikipedia.org/wiki/Ramjet variant of
a fusion rocket http://en.wikipedia.org/wiki/Fusion_rocket capable of
reasonable interstellar spaceflight, using enormous electromagnetic fields
(ranging from kilometers to many thousands of kilometers in diameter) as a
ram scoop to collect and compress
hydrogenhttp://en.wikipedia.org/wiki/Hydrogenfrom the interstellar
medium http://en.wikipedia.org/wiki/Interstellar_medium. High speeds
force the reactive mass into a progressively constricted magnetic field,
compressing it until thermonuclear fusion occurs. The magnetic field then
directs the energy as rocket http://en.wikipedia.org/wiki/Rocket exhaust
opposite to the intended direction of travel, thereby accelerating the
vessel.

When this hydrogen collection strategy is integrated with cold fusion,
there is no limitation on the amount of energy that that be applied to a
Ram Jet propulsion ship.

The conceptual implications of magnetically induced cold fusion is
currently beyond the imaginations of most people at this early juncture.


On Sat, Jan 11, 2014 at 7:20 PM, David L Babcock olb...@gmail.com wrote:

  The bad news negates itself:

 Considering C of E, a miss-aimed craft could not apply more energy to a
 planet than was originally applied to the craft to bring it up to speed. A
 continent-melting crash requires that more than a continent-melting supply
 of fuel has been applied to/used by the craft.

 Another consideration:  The craft has to carry with it a similar amount of
 energy, stored, to use for deceleration. And twice that again, to come home.

 If you account for different depths of gravity wells, it comes out
 different, but not much.  We were talking about speeds up towards light, no?

 So conservation of energy, having obliterated CF (a little gratuitous
 snark), now moves on to ruin our dreams of visiting other stars.

 Dave B.


 On 1/10/2014 5:14 PM, David Roberson wrote:

 That is amazing!   -snip-

 I have never considered how much damage a space craft traveling near light
 speed would inflict, but apparently it would be bad news.

 Dave






Re: [Vo]:[OT]Star Object Ejection Process

2014-01-11 Thread Eric Walker
On Sat, Jan 11, 2014 at 4:20 PM, David L Babcock olb...@gmail.com wrote:

 A continent-melting crash requires that more than a continent-melting
 supply of fuel has been applied to/used by the craft.


You make an excellent point.  But we should not become too complacent in
feeling safe that no mis-aimed spaceship will obliterate us.  If they have
a (hypothetical) cold-fusion-powered thruster, the amount of energy they
can draw upon is quite high, provided they have enough fuel (whatever that
is).  Assuming they don't use a trick with a wormhole or something similar,
would the main gating factor not be the maximum thrust/power and the
distance from us at which they set out?  Also, they could use Dave's
slingshot trick to get quite a boost, perhaps even a continent obliterating
one.  Drivers licenses will be especially important for interstellar travel.

Eric


Re: [Vo]:[OT]Star Object Ejection Process

2014-01-11 Thread Jed Rothwell
David L Babcock olb...@gmail.com wrote:

 The bad news negates itself:

 Considering C of E, a miss-aimed craft could not apply more energy to a
 planet than was originally applied to the craft to bring it up to speed. A
 continent-melting crash requires that more than a continent-melting supply
 of fuel has been applied to/used by the craft.


I don't think this adds up.

First, the fuel would be used slowly, over many hours or days as the ship
speeds up. Or if it were incoming from another star, the fuel might have
been used up over years. Suppose, for example, something goes wrong and it
never reverses thrust to slow down. It comes in out of control after
accelerating for 5 years in a 10-year trip. Wham!

Second, you might actually use up a continent-melting supply of fuel, if it
was external to the ship. This statement does not follow:


 Another consideration:  The craft has to carry with it a similar amount of
 energy, stored, to use for deceleration. And twice that again, to come home.


The fuel might be expended at a fixed orbiting base that accelerates the
ship with something like a laser beam.

Or, as mentioned, the fuel might be scooped out of interstellar space. The
hydrogen in the flight path might be deployed in space before the flight,
by robots that keep the space lanes filled with gigantic quantities of
hydrogen from surrounding star systems.

You might find a way to tap a significant fraction of the sun's output to
power a ship without vaporizing the ship. I cannot imagine how, but there
might be a way. This is enough solar energy to easily accelerate a
million-ton ship to 0.9 c. It might power the ship for 0.5 light years out,
with another gigantic machine at the destination star to slow it down. The
point is, the ship would not have to carry the fuel or the reactors.

You might need a gigantic mass of fuel, or building material, for some of
these schemes. More than you can conveniently mine from planets and
asteroids. In the far distant future suppose people figure out a way to
convert the energy from the sun back into mass. The sun loses 4.7 million
tons of matter per second in mass-energy conversion. If you could intercept
a small part of that and convert it to mass, you would soon have plenty of
free hydrogen to deploy in the space lanes, or enough to build a gigantic
shell to intercept and concentrate solar energy, and other construction
projects as large as the solar system.

- Jed


RE: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread Hoyt A. Stearns Jr.
When I read about the damage to Earth from extraterrestrial objects impacting 
based on size, it seems they always use speeds close to escape velocity.

I've always wondered why is that -- It seems to me that objects could come in 
at any velocity up to infinity ( or relativistic equivalent energy of infinity 
).



What would happen if a million mile per hour 1 ton rock impacted?







From: David Roberson [mailto:dlrober...@aol.com]
Sent: Thursday, January 9, 2014 11:09 PM
To: vortex-l@eskimo.com
Subject: Re: [Vo]:[OT]Star Object Ejection Process



Well, I guess that program makes sense of this discovery.  Now, we might need 
to worry about the multitude of other objects that are out there heading in 
random directions.  I have a suspicion that the Earth and other planets and 
moons have been impacted by this type of debris in the distant past.  Let's 
hope it does not occur too frequently.

Dave







-Original Message-
From: James Bowery jabow...@gmail.com
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 10, 2014 12:53 am
Subject: Re: [Vo]:[OT]Star Object Ejection Process

As luck would have it:




Surprising new class of “hypervelocity stars” discovered escaping the galaxy




http://news.vanderbilt.edu/2014/01/hypervelocity-stars/



On Fri, Jan 3, 2014 at 9:16 PM, David Roberson dlrober...@aol.com wrote:

Steven,



A few years back I also wrote a program that handled a central large star like 
object with another orbiting it.  I had a plan to eventually include a small 
number of other objects that were to interact gravitationally, but never found 
the time to complete the project.  I was curious about how different attraction 
laws effected the orbits of planets, and the answer was loud and clear; forget 
about anything except for the second order case!  I observed the elliptical 
orbits and that was about the end of that project.



I am happy to hear that you did something similar but much more extensive.  If 
you get a chance, take a look at that program that I was mentioning (Planets).  
One item that I find particularly interesting is that you can call up a flood 
of small planets to interact simultaneously.   The behavior that you witness is 
quite impressive and it makes the fact that our solar system is relatively 
stable seem fortunate.



I did notice that very few moons appear orbiting my planets.  My suspicion is 
that most of the moons seen today are a result of collisions between the main 
planet and smaller objects.  Apparently the blast kicks out a mass of material 
that then condenses into the many moons.  Each of these mirrors the original 
formation of the sun and its system.  I am confident that some of the early 
moons found themselves ejected by their brothers on occasion.



If you are curious, you can load Linux in parallel with your standard system 
that preserves your original operating system and data.  That is what I did to 
be able to use whichever one I desire.  Unfortunately, I went overboard and now 
have three Windows Vista systems and two Linux systems present on this one 
computer.  Hey, I had the 3 hard drives available! :-)



Dave





-Original Message-
From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 3, 2014 8:39 pm
Subject: RE: [Vo]:[OT]Star Object Ejection Process

Hi Dave,



I tend to concur with your suspicions that the effect is most likely real, this 
based on my own computations of simple planetary orbits. I have used both 
single precision and double precision in my simulations. Rounding off errors 
appeared to be negligible. As far as my own personal observations went I saw 
little if no difference between SP vs DP.



A science program like NOVA recently did a program on how NASA began to use 
sophisticated gravity assist trajectories in order to shoot satellites out in 
to further regions of the solar system. The point being, if you have a lot of 
extra patience the trip can be performed with far less rocket fuel than 
traditional means.



On a related matter, a couple of months ago you may recall I posted on Vort a 
personal discovery I made concerning what I later learned is actually a 
derivative of Kepler’s 3rd law, that the square of the orbital period of a 
planet is directly proportional to the cube of the semi-major axis of its 
orbit.  I stumbled across a much more simplified observation of the 3rd law: 
All orbits that share the same orbital period also share the same distance in 
their major radius. I didn’t know at the time whether this observation had been 
made by others, so I posted my findings out on Vortex. See:



http://personalpen.orionworks.com/kepler4thlaw.htm



Someone eventually was kind enough to point me to a link that correlated my 
personal observation with Kepler’s 3rd law. Yes, the observation had already 
been made. Alas, my hope for fame (and bragging rights) had been dashed. 
Nevertheless, it was fun to discover the fact

Re: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread Eric Walker
On Fri, Jan 10, 2014 at 6:13 AM, Hoyt A. Stearns Jr.
hoyt-stea...@cox.netwrote:

What would happen if a million mile per hour 1 ton rock impacted?


There's an interesting xkcd writeup on a similar question (posed by an
eight year-old):

If a meteor made out of diamond and 100 feet in diameter was traveling at
the speed of light and hit the earth, what would happen to it?”

http://what-if.xkcd.com/20/

Eric


RE: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread Hoyt A. Stearns Jr.
Thanks for the link.



This reminds me of a 1945 science fiction story Things Pass By



http://www.troynovant.com/Franson/Leinster/Things-Pass-By.html



Not about an impact, but just the effects of very fast but small objects 
passing nearby with huge relativistic mass -- enough to cause earthquakes etc.









From: Eric Walker [mailto:eric.wal...@gmail.com]
Sent: Friday, January 10, 2014 8:55 AM
To: vortex-l@eskimo.com
Subject: Re: [Vo]:[OT]Star Object Ejection Process



On Fri, Jan 10, 2014 at 6:13 AM, Hoyt A. Stearns Jr. hoyt-stea...@cox.net 
wrote:



What would happen if a million mile per hour 1 ton rock impacted?



There's an interesting xkcd writeup on a similar question (posed by an eight 
year-old):



If a meteor made out of diamond and 100 feet in diameter was traveling at the 
speed of light and hit the earth, what would happen to it?”



http://what-if.xkcd.com/20/



Eric





---
This email is free from viruses and malware because avast! Antivirus protection 
is active.
http://www.avast.com


Re: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread Jed Rothwell
Eric Walker eric.wal...@gmail.com wrote:


 There's an interesting xkcd writeup on a similar question (posed by an
 eight year-old):

 If a meteor made out of diamond and 100 feet in diameter was traveling at
 the speed of light and hit the earth, what would happen to it?”

 http://what-if.xkcd.com/20/


Amazing. I did not realize such a small object could cause so much damage,
even at high speeds.

If people ever make large interstellar spaceships the travel at a
significant fraction of the speed of light, they better be careful how they
steer them. If one goes out of control and whacks into a planet it will
cause terrific damage according to these calculations.

- Jed


Re: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread David Roberson
That is amazing!  I suspect that we are safe in assuming that none of the large 
objects will be traveling at greater than 3000 kilometers/second (1% of the 
speed of light).  Unfortunately, that is plenty fast to destroy the planet if 
the object is large.

I have never considered how much damage a space craft traveling near light 
speed would inflict, but apparently it would be bad news.

Dave

 

 

 

-Original Message-
From: Jed Rothwell jedrothw...@gmail.com
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 10, 2014 3:36 pm
Subject: Re: [Vo]:[OT]Star Object Ejection Process



Eric Walker eric.wal...@gmail.com wrote:

 


There's an interesting xkcd writeup on a similar question (posed by an eight 
year-old):



If a meteor made out of diamond and 100 feet in diameter was traveling at the 
speed of light and hit the earth, what would happen to it?”


http://what-if.xkcd.com/20/





Amazing. I did not realize such a small object could cause so much damage, even 
at high speeds.


If people ever make large interstellar spaceships the travel at a significant 
fraction of the speed of light, they better be careful how they steer them. If 
one goes out of control and whacks into a planet it will cause terrific damage 
according to these calculations.



- Jed






Re: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread James Bowery
Unfortunately that narrative leaves a huge gap between 72km/s and 0.01c
(3000km/s) -- and it is right in the geometric middle of this gap that 1
million miles per hour falls:  500km/s.

This is important because although it is disappearingly unlikely that one
of these hypervelocity (million mph) stars would collide with anything in
our solar system, the potential exists for a vastly larger number of vasly
smaller objects -- objects on the order of the size of the 100ft diameter
diamond asteroid exemplar of the narrative.

What is the statistical distribution of such small, hypervelocity objects?
 Even if all of the potential hypervelocity starts were being ripped apart
into precisely 100ft diameter diamonds traveling at 500km/s, I conjecture
the odds of any of them impacting anything in our solar system, including
the sun, would still be disappearingly small.

Nevertheless, this would be an interesting exercise in astronomical numbers.


On Fri, Jan 10, 2014 at 9:54 AM, Eric Walker eric.wal...@gmail.com wrote:

 On Fri, Jan 10, 2014 at 6:13 AM, Hoyt A. Stearns Jr. hoyt-stea...@cox.net
  wrote:

 What would happen if a million mile per hour 1 ton rock impacted?


 There's an interesting xkcd writeup on a similar question (posed by an
 eight year-old):

 If a meteor made out of diamond and 100 feet in diameter was traveling at
 the speed of light and hit the earth, what would happen to it?”

 http://what-if.xkcd.com/20/

 Eric




Re: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread David Roberson
It would be interesting for that speed gap to be filled.  We might be able to 
guesstimate the density of these smaller object in some manner, although at the 
moment I am at a loss.  The main thought that comes to my mind is along the 
lines that I mentioned previously about the bombardment of Earth, moon, and 
other planets that happened around a billion years after they were formed.   
The current theory as I recall is that these missiles came from our solar 
system when they were diverted by outer planets changing orbits.  Of course, 
the history is mucked up by now and I doubt that the proof is there.

Perhaps instead of being home grown, many of these arrived due to being ejected 
as nearby stars formed.  It is likely that many moderate sized objects would be 
sent fleeing the inner regions of these new stars as large heavy planets take 
shape and give them the boot.  It takes time to reach our sun and a billion 
years might be enough although I have not calculated how far they might travel 
during that period.  The planet formation period is measured in the millions of 
years so that period would be relatively brief compared to billions.

I am curious as to the distribution of the speeds of these objects as they head 
outwards.  Would we expect them to arrive in waves or slowly dribble into our 
area?  The density of impacts seen upon the moon look like a large gauge 
shotgun was the source.

Dave

 

 

 

-Original Message-
From: James Bowery jabow...@gmail.com
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 10, 2014 6:14 pm
Subject: Re: [Vo]:[OT]Star Object Ejection Process


Unfortunately that narrative leaves a huge gap between 72km/s and 0.01c 
(3000km/s) -- and it is right in the geometric middle of this gap that 1 
million miles per hour falls:  500km/s.


This is important because although it is disappearingly unlikely that one of 
these hypervelocity (million mph) stars would collide with anything in our 
solar system, the potential exists for a vastly larger number of vasly smaller 
objects -- objects on the order of the size of the 100ft diameter diamond 
asteroid exemplar of the narrative.


What is the statistical distribution of such small, hypervelocity objects?  
Even if all of the potential hypervelocity starts were being ripped apart into 
precisely 100ft diameter diamonds traveling at 500km/s, I conjecture the odds 
of any of them impacting anything in our solar system, including the sun, would 
still be disappearingly small. 


Nevertheless, this would be an interesting exercise in astronomical numbers.




On Fri, Jan 10, 2014 at 9:54 AM, Eric Walker eric.wal...@gmail.com wrote:



On Fri, Jan 10, 2014 at 6:13 AM, Hoyt A. Stearns Jr. hoyt-stea...@cox.net 
wrote:




What would happen if a million mile per hour 1 ton rock impacted?





There's an interesting xkcd writeup on a similar question (posed by an eight 
year-old):



If a meteor made out of diamond and 100 feet in diameter was traveling at the 
speed of light and hit the earth, what would happen to it?”


http://what-if.xkcd.com/20/




Eric









Re: [Vo]:[OT]Star Object Ejection Process

2014-01-10 Thread mixent
In reply to  David Roberson's message of Fri, 10 Jan 2014 01:09:28 -0500 (EST):
Hi,
[snip]
Well, I guess that program makes sense of this discovery.  Now, we might need 
to worry about the multitude of other objects that are out there heading in 
random directions.  I have a suspicion that the Earth and other planets and 
moons have been impacted by this type of debris in the distant past.  Let's 
hope it does not occur too frequently.

Dave
...apparently not. ;)

Regards,

Robin van Spaandonk

http://rvanspaa.freehostia.com/project.html



Re: [Vo]:[OT]Star Object Ejection Process

2014-01-09 Thread James Bowery
As luck would have it:

Surprising new class of “hypervelocity stars” discovered escaping the galaxy

http://news.vanderbilt.edu/2014/01/hypervelocity-stars/


On Fri, Jan 3, 2014 at 9:16 PM, David Roberson dlrober...@aol.com wrote:

 Steven,

  A few years back I also wrote a program that handled a central large
 star like object with another orbiting it.  I had a plan to eventually
 include a small number of other objects that were to interact
 gravitationally, but never found the time to complete the project.  I was
 curious about how different attraction laws effected the orbits of planets,
 and the answer was loud and clear; forget about anything except for the
 second order case!  I observed the elliptical orbits and that was about the
 end of that project.

  I am happy to hear that you did something similar but much more
 extensive.  If you get a chance, take a look at that program that I was
 mentioning (Planets).  One item that I find particularly interesting is
 that you can call up a flood of small planets to interact simultaneously.
 The behavior that you witness is quite impressive and it makes the fact
 that our solar system is relatively stable seem fortunate.

  I did notice that very few moons appear orbiting my planets.  My
 suspicion is that most of the moons seen today are a result of collisions
 between the main planet and smaller objects.  Apparently the blast kicks
 out a mass of material that then condenses into the many moons.  Each of
 these mirrors the original formation of the sun and its system.  I am
 confident that some of the early moons found themselves ejected by their
 brothers on occasion.

  If you are curious, you can load Linux in parallel with your standard
 system that preserves your original operating system and data.  That is
 what I did to be able to use whichever one I desire.  Unfortunately, I went
 overboard and now have three Windows Vista systems and two Linux systems
 present on this one computer.  Hey, I had the 3 hard drives available! :-)

  Dave



 -Original Message-
 From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 3, 2014 8:39 pm
 Subject: RE: [Vo]:[OT]Star Object Ejection Process

   Hi Dave,

 I tend to concur with your suspicions that the effect is most likely real,
 this based on my own computations of simple planetary orbits. I have used
 both single precision and double precision in my simulations. Rounding off
 errors appeared to be negligible. As far as my own personal observations
 went I saw little if no difference between SP vs DP.

 A science program like NOVA recently did a program on how NASA began to
 use sophisticated gravity assist trajectories in order to shoot satellites
 out in to further regions of the solar system. The point being, if you have
 a lot of extra patience the trip can be performed with far less rocket fuel
 than traditional means.

 On a related matter, a couple of months ago you may recall I posted on
 Vort a personal discovery I made concerning what I later learned is
 actually a derivative of Kepler’s 3rd law, that the square of the orbital
 period of a planet is directly proportional to the cube of the semi-major
 axis of its orbit.  I stumbled across a much more simplified observation of
 the 3rd law: All orbits that share the same orbital period also share the
 same distance in their major radius. I didn’t know at the time whether this
 observation had been made by others, so I posted my findings out on Vortex.
 See:

 http://personalpen.orionworks.com/kepler4thlaw.htm

 Someone eventually was kind enough to point me to a link that correlated
 my personal observation with Kepler’s 3rd law. Yes, the observation had
 already been made. Alas, my hope for fame (and bragging rights) had been
 dashed. Nevertheless, it was fun to discover the fact that some personal
 observations I had made about planetary motion based on computer
 simulations I had personal designed turned out to be confirmed as true. I
 still think the observation should officially be described as Kepler’s
 honorary 4th law of planetary motion. ;-)

 PS: The Kiplinger letter for this Friday made the comment that China’s
 recent successful rover landing on the moon will fuel some fears in
 congress that NASA should get a little extra funding boost for planetary
 research. It will be nothing near the glories of the space race of the
 sixties. But a modest financial boost never the less. (I love watching the
 movie: “The Right Stuff.”)

 Regards,
 Steven Vincent Johnson
 svjart.OrionWorks.com
 www.zazzle.com/orionworks
 tech.groups.yahoo.com/group/newvortex/




Re: [Vo]:[OT]Star Object Ejection Process

2014-01-09 Thread David Roberson
Well, I guess that program makes sense of this discovery.  Now, we might need 
to worry about the multitude of other objects that are out there heading in 
random directions.  I have a suspicion that the Earth and other planets and 
moons have been impacted by this type of debris in the distant past.  Let's 
hope it does not occur too frequently.

Dave

 

 

 

-Original Message-
From: James Bowery jabow...@gmail.com
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 10, 2014 12:53 am
Subject: Re: [Vo]:[OT]Star Object Ejection Process


As luck would have it:



Surprising new class of “hypervelocity stars” discovered escaping the galaxy



http://news.vanderbilt.edu/2014/01/hypervelocity-stars/





On Fri, Jan 3, 2014 at 9:16 PM, David Roberson dlrober...@aol.com wrote:

Steven,


A few years back I also wrote a program that handled a central large star like 
object with another orbiting it.  I had a plan to eventually include a small 
number of other objects that were to interact gravitationally, but never found 
the time to complete the project.  I was curious about how different attraction 
laws effected the orbits of planets, and the answer was loud and clear; forget 
about anything except for the second order case!  I observed the elliptical 
orbits and that was about the end of that project.


I am happy to hear that you did something similar but much more extensive.  If 
you get a chance, take a look at that program that I was mentioning (Planets).  
One item that I find particularly interesting is that you can call up a flood 
of small planets to interact simultaneously.   The behavior that you witness is 
quite impressive and it makes the fact that our solar system is relatively 
stable seem fortunate.


I did notice that very few moons appear orbiting my planets.  My suspicion is 
that most of the moons seen today are a result of collisions between the main 
planet and smaller objects.  Apparently the blast kicks out a mass of material 
that then condenses into the many moons.  Each of these mirrors the original 
formation of the sun and its system.  I am confident that some of the early 
moons found themselves ejected by their brothers on occasion.


If you are curious, you can load Linux in parallel with your standard system 
that preserves your original operating system and data.  That is what I did to 
be able to use whichever one I desire.  Unfortunately, I went overboard and now 
have three Windows Vista systems and two Linux systems present on this one 
computer.  Hey, I had the 3 hard drives available! :-)


Dave




-Original Message-
From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 3, 2014 8:39 pm
Subject: RE: [Vo]:[OT]Star Object Ejection Process



Hi Dave,
 
I tend to concur with your suspicions that the effect is most likely real, this 
based on my own computations of simple planetary orbits. I have used both 
single precision and double precision in my simulations. Rounding off errors 
appeared to be negligible. As far as my own personal observations went I saw 
little if no difference between SP vs DP.
 
A science program like NOVA recently did a program on how NASA began to use 
sophisticated gravity assist trajectories in order to shoot satellites out in 
to further regions of the solar system. The point being, if you have a lot of 
extra patience the trip can be performed with far less rocket fuel than 
traditional means.
 
On a related matter, a couple of months ago you may recall I posted on Vort a 
personal discovery I made concerning what I later learned is actually a 
derivative of Kepler’s 3rd law, that the square of the orbital period of a 
planet is directly proportional to the cube of the semi-major axis of its 
orbit.  I stumbled across a much more simplified observation of the 3rd law: 
All orbits that share the same orbital period also share the same distance in 
their major radius. I didn’t know at the time whether this observation had been 
made by others, so I posted my findings out on Vortex. See:
 
http://personalpen.orionworks.com/kepler4thlaw.htm
 
Someone eventually was kind enough to point me to a link that correlated my 
personal observation with Kepler’s 3rd law. Yes, the observation had already 
been made. Alas, my hope for fame (and bragging rights) had been dashed. 
Nevertheless, it was fun to discover the fact that some personal observations I 
had made about planetary motion based on computer simulations I had personal 
designed turned out to be confirmed as true. I still think the observation 
should officially be described as Kepler’s honorary 4th law of planetary 
motion. ;-)
 
PS: The Kiplinger letter for this Friday made the comment that China’s recent 
successful rover landing on the moon will fuel some fears in congress that NASA 
should get a little extra funding boost for planetary research. It will be 
nothing near the glories of the space race of the sixties

Re: [Vo]:[OT]Star Object Ejection Process

2014-01-09 Thread James Bowery
Space is big.

Really... Really... BIG


On Fri, Jan 10, 2014 at 12:09 AM, David Roberson dlrober...@aol.com wrote:

 Well, I guess that program makes sense of this discovery.  Now, we might
 need to worry about the multitude of other objects that are out there
 heading in random directions.  I have a suspicion that the Earth and other
 planets and moons have been impacted by this type of debris in the distant
 past.  Let's hope it does not occur too frequently.

 Dave



  -Original Message-
 From: James Bowery jabow...@gmail.com
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 10, 2014 12:53 am
 Subject: Re: [Vo]:[OT]Star Object Ejection Process

  As luck would have it:

  Surprising new class of “hypervelocity stars” discovered escaping the
 galaxy

  http://news.vanderbilt.edu/2014/01/hypervelocity-stars/


 On Fri, Jan 3, 2014 at 9:16 PM, David Roberson dlrober...@aol.com wrote:

 Steven,

  A few years back I also wrote a program that handled a central large
 star like object with another orbiting it.  I had a plan to eventually
 include a small number of other objects that were to interact
 gravitationally, but never found the time to complete the project.  I was
 curious about how different attraction laws effected the orbits of planets,
 and the answer was loud and clear; forget about anything except for the
 second order case!  I observed the elliptical orbits and that was about the
 end of that project.

  I am happy to hear that you did something similar but much more
 extensive.  If you get a chance, take a look at that program that I was
 mentioning (Planets).  One item that I find particularly interesting is
 that you can call up a flood of small planets to interact simultaneously.
 The behavior that you witness is quite impressive and it makes the fact
 that our solar system is relatively stable seem fortunate.

  I did notice that very few moons appear orbiting my planets.  My
 suspicion is that most of the moons seen today are a result of collisions
 between the main planet and smaller objects.  Apparently the blast kicks
 out a mass of material that then condenses into the many moons.  Each of
 these mirrors the original formation of the sun and its system.  I am
 confident that some of the early moons found themselves ejected by their
 brothers on occasion.

  If you are curious, you can load Linux in parallel with your standard
 system that preserves your original operating system and data.  That is
 what I did to be able to use whichever one I desire.  Unfortunately, I went
 overboard and now have three Windows Vista systems and two Linux systems
 present on this one computer.  Hey, I had the 3 hard drives available! :-)

  Dave



 -Original Message-
 From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 3, 2014 8:39 pm
 Subject: RE: [Vo]:[OT]Star Object Ejection Process

   Hi Dave,

 I tend to concur with your suspicions that the effect is most likely
 real, this based on my own computations of simple planetary orbits. I have
 used both single precision and double precision in my simulations. Rounding
 off errors appeared to be negligible. As far as my own personal
 observations went I saw little if no difference between SP vs DP.

 A science program like NOVA recently did a program on how NASA began to
 use sophisticated gravity assist trajectories in order to shoot satellites
 out in to further regions of the solar system. The point being, if you have
 a lot of extra patience the trip can be performed with far less rocket fuel
 than traditional means.

 On a related matter, a couple of months ago you may recall I posted on
 Vort a personal discovery I made concerning what I later learned is
 actually a derivative of Kepler’s 3rd law, that the square of the orbital
 period of a planet is directly proportional to the cube of the semi-major
 axis of its orbit.  I stumbled across a much more simplified observation of
 the 3rd law: All orbits that share the same orbital period also share the
 same distance in their major radius. I didn’t know at the time whether this
 observation had been made by others, so I posted my findings out on Vortex.
 See:

 http://personalpen.orionworks.com/kepler4thlaw.htm

 Someone eventually was kind enough to point me to a link that correlated
 my personal observation with Kepler’s 3rd law. Yes, the observation had
 already been made. Alas, my hope for fame (and bragging rights) had been
 dashed. Nevertheless, it was fun to discover the fact that some personal
 observations I had made about planetary motion based on computer
 simulations I had personal designed turned out to be confirmed as true. I
 still think the observation should officially be described as Kepler’s
 honorary 4th law of planetary motion. ;-)

 PS: The Kiplinger letter for this Friday made the comment that China’s
 recent successful rover landing on the moon will fuel some fears in
 congress that NASA

Re: [Vo]:[OT]Star Object Ejection Process

2014-01-09 Thread James Bowery
Space is big.

Really... really... BIG


On Fri, Jan 10, 2014 at 12:09 AM, David Roberson dlrober...@aol.com wrote:

 Well, I guess that program makes sense of this discovery.  Now, we might
 need to worry about the multitude of other objects that are out there
 heading in random directions.  I have a suspicion that the Earth and other
 planets and moons have been impacted by this type of debris in the distant
 past.  Let's hope it does not occur too frequently.

 Dave



  -Original Message-
 From: James Bowery jabow...@gmail.com
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 10, 2014 12:53 am
 Subject: Re: [Vo]:[OT]Star Object Ejection Process

  As luck would have it:

  Surprising new class of “hypervelocity stars” discovered escaping the
 galaxy

  http://news.vanderbilt.edu/2014/01/hypervelocity-stars/


 On Fri, Jan 3, 2014 at 9:16 PM, David Roberson dlrober...@aol.com wrote:

 Steven,

  A few years back I also wrote a program that handled a central large
 star like object with another orbiting it.  I had a plan to eventually
 include a small number of other objects that were to interact
 gravitationally, but never found the time to complete the project.  I was
 curious about how different attraction laws effected the orbits of planets,
 and the answer was loud and clear; forget about anything except for the
 second order case!  I observed the elliptical orbits and that was about the
 end of that project.

  I am happy to hear that you did something similar but much more
 extensive.  If you get a chance, take a look at that program that I was
 mentioning (Planets).  One item that I find particularly interesting is
 that you can call up a flood of small planets to interact simultaneously.
 The behavior that you witness is quite impressive and it makes the fact
 that our solar system is relatively stable seem fortunate.

  I did notice that very few moons appear orbiting my planets.  My
 suspicion is that most of the moons seen today are a result of collisions
 between the main planet and smaller objects.  Apparently the blast kicks
 out a mass of material that then condenses into the many moons.  Each of
 these mirrors the original formation of the sun and its system.  I am
 confident that some of the early moons found themselves ejected by their
 brothers on occasion.

  If you are curious, you can load Linux in parallel with your standard
 system that preserves your original operating system and data.  That is
 what I did to be able to use whichever one I desire.  Unfortunately, I went
 overboard and now have three Windows Vista systems and two Linux systems
 present on this one computer.  Hey, I had the 3 hard drives available! :-)

  Dave



 -Original Message-
 From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 3, 2014 8:39 pm
 Subject: RE: [Vo]:[OT]Star Object Ejection Process

   Hi Dave,

 I tend to concur with your suspicions that the effect is most likely
 real, this based on my own computations of simple planetary orbits. I have
 used both single precision and double precision in my simulations. Rounding
 off errors appeared to be negligible. As far as my own personal
 observations went I saw little if no difference between SP vs DP.

 A science program like NOVA recently did a program on how NASA began to
 use sophisticated gravity assist trajectories in order to shoot satellites
 out in to further regions of the solar system. The point being, if you have
 a lot of extra patience the trip can be performed with far less rocket fuel
 than traditional means.

 On a related matter, a couple of months ago you may recall I posted on
 Vort a personal discovery I made concerning what I later learned is
 actually a derivative of Kepler’s 3rd law, that the square of the orbital
 period of a planet is directly proportional to the cube of the semi-major
 axis of its orbit.  I stumbled across a much more simplified observation of
 the 3rd law: All orbits that share the same orbital period also share the
 same distance in their major radius. I didn’t know at the time whether this
 observation had been made by others, so I posted my findings out on Vortex.
 See:

 http://personalpen.orionworks.com/kepler4thlaw.htm

 Someone eventually was kind enough to point me to a link that correlated
 my personal observation with Kepler’s 3rd law. Yes, the observation had
 already been made. Alas, my hope for fame (and bragging rights) had been
 dashed. Nevertheless, it was fun to discover the fact that some personal
 observations I had made about planetary motion based on computer
 simulations I had personal designed turned out to be confirmed as true. I
 still think the observation should officially be described as Kepler’s
 honorary 4th law of planetary motion. ;-)

 PS: The Kiplinger letter for this Friday made the comment that China’s
 recent successful rover landing on the moon will fuel some fears in
 congress that NASA

Re: [Vo]:[OT]Star Object Ejection Process

2014-01-09 Thread James Bowery
Sorry, Gmail's intelligent control of saving and sending got me.


On Fri, Jan 10, 2014 at 12:35 AM, James Bowery jabow...@gmail.com wrote:

 Space is big.

 Really... really... BIG


 On Fri, Jan 10, 2014 at 12:09 AM, David Roberson dlrober...@aol.comwrote:

 Well, I guess that program makes sense of this discovery.  Now, we might
 need to worry about the multitude of other objects that are out there
 heading in random directions.  I have a suspicion that the Earth and other
 planets and moons have been impacted by this type of debris in the distant
 past.  Let's hope it does not occur too frequently.

 Dave



  -Original Message-
 From: James Bowery jabow...@gmail.com
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 10, 2014 12:53 am
 Subject: Re: [Vo]:[OT]Star Object Ejection Process

  As luck would have it:

  Surprising new class of “hypervelocity stars” discovered escaping the
 galaxy

  http://news.vanderbilt.edu/2014/01/hypervelocity-stars/


 On Fri, Jan 3, 2014 at 9:16 PM, David Roberson dlrober...@aol.comwrote:

 Steven,

  A few years back I also wrote a program that handled a central large
 star like object with another orbiting it.  I had a plan to eventually
 include a small number of other objects that were to interact
 gravitationally, but never found the time to complete the project.  I was
 curious about how different attraction laws effected the orbits of planets,
 and the answer was loud and clear; forget about anything except for the
 second order case!  I observed the elliptical orbits and that was about the
 end of that project.

  I am happy to hear that you did something similar but much more
 extensive.  If you get a chance, take a look at that program that I was
 mentioning (Planets).  One item that I find particularly interesting is
 that you can call up a flood of small planets to interact simultaneously.
 The behavior that you witness is quite impressive and it makes the fact
 that our solar system is relatively stable seem fortunate.

  I did notice that very few moons appear orbiting my planets.  My
 suspicion is that most of the moons seen today are a result of collisions
 between the main planet and smaller objects.  Apparently the blast kicks
 out a mass of material that then condenses into the many moons.  Each of
 these mirrors the original formation of the sun and its system.  I am
 confident that some of the early moons found themselves ejected by their
 brothers on occasion.

  If you are curious, you can load Linux in parallel with your standard
 system that preserves your original operating system and data.  That is
 what I did to be able to use whichever one I desire.  Unfortunately, I went
 overboard and now have three Windows Vista systems and two Linux systems
 present on this one computer.  Hey, I had the 3 hard drives available! :-)

  Dave



 -Original Message-
 From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
 To: vortex-l vortex-l@eskimo.com
 Sent: Fri, Jan 3, 2014 8:39 pm
 Subject: RE: [Vo]:[OT]Star Object Ejection Process

   Hi Dave,

 I tend to concur with your suspicions that the effect is most likely
 real, this based on my own computations of simple planetary orbits. I have
 used both single precision and double precision in my simulations. Rounding
 off errors appeared to be negligible. As far as my own personal
 observations went I saw little if no difference between SP vs DP.

 A science program like NOVA recently did a program on how NASA began to
 use sophisticated gravity assist trajectories in order to shoot satellites
 out in to further regions of the solar system. The point being, if you have
 a lot of extra patience the trip can be performed with far less rocket fuel
 than traditional means.

 On a related matter, a couple of months ago you may recall I posted on
 Vort a personal discovery I made concerning what I later learned is
 actually a derivative of Kepler’s 3rd law, that the square of the orbital
 period of a planet is directly proportional to the cube of the semi-major
 axis of its orbit.  I stumbled across a much more simplified observation of
 the 3rd law: All orbits that share the same orbital period also share the
 same distance in their major radius. I didn’t know at the time whether this
 observation had been made by others, so I posted my findings out on Vortex.
 See:

 http://personalpen.orionworks.com/kepler4thlaw.htm

 Someone eventually was kind enough to point me to a link that correlated
 my personal observation with Kepler’s 3rd law. Yes, the observation had
 already been made. Alas, my hope for fame (and bragging rights) had been
 dashed. Nevertheless, it was fun to discover the fact that some personal
 observations I had made about planetary motion based on computer
 simulations I had personal designed turned out to be confirmed as true. I
 still think the observation should officially be described as Kepler’s
 honorary 4th law of planetary motion. ;-)

 PS: The Kiplinger

[Vo]:[OT]Star Object Ejection Process

2014-01-03 Thread David Roberson
Recently we had a short discussion concerning objects being ejected from 
planetary systems such as ours.  I was toying with the Planets program that I 
stumbled upon when testing Linux.  That program is very interesting and it is 
easy to fiddle away hours of time just observing how planets interact in a two 
dimensional stellar system.  I recommend that anyone desiring to be fascinated 
give it a try!


One interesting observation that caught my attention was that so many objects 
appeared to be ejected from the system as they interacted with others orbiting 
the star.  My concern is that this suggested that perhaps millions of these 
large and dangerous objects would be drifting in open space and some might 
actually find their way to earth.  I made a short post to the list and some of 
the vorts suggested that the reason for the apparent onslaught was rounding off 
errors in the math calculating the inverse square law interactions.  I looked 
into the issue further and come away believing that the effect is real and they 
are out there.


In further playing with these types of systems, I generated some with two 
similar sized star equivalents in orbit around themselves.  Each one was 
orbiting the center of mass of the system at a fairly fast rate.  When I 
introduced planets to the system, it was brutal.  Almost every one of the 
planets that passed near the stars was immediately sent rapidly exiting the 
system or found itself being destroyed by one of the pair.  This effect was so 
pronounced that I realized that there must be something that demonstrated its 
powerful influence under these conditions.


I reviewed planetary orbits and found the reason fairly quickly.  The escape 
velocity associated with a star or planet is only the square root of two times 
larger than the orbital velocity at that radius.  Also, gravity assist is used 
to send space probes into and beyond the outer reaches of the solar system all 
the time and is quite effective.  A typical probe can gain the orbital velocity 
of the object that it encounters by a moderately close fly by.  With this 
process available, an object that begins at a position that is for example 
located at the distance of the Earth from the sun can fly by Mercury and gain 
sufficient speed to escape the suns gravity entirely.  This same effect would 
result in the ejection of many random objects that find their way near to inner 
planets.  This would likely happen often and the program appears to demonstrate 
this nicely.


To add some numbers to the words: The escape velocity for an object at the 
distance of Mercury from the Sun is 67.7 kilometers/second.  The same figure 
for an Earth distance object is 42.1 kilometers/second.  So our object orbiting 
at the Earth's distance from the Sun would be moving at 42.1 km/sec / 1.1414 or 
 29.77 km/sec.  Now, if we direct the object toward Mercury and pick up its 
orbital velocity of 67.7 km/sec / 1.414 which is 47.87 km/sec , then it is 
evident that it will have sufficient velocity to escape the Sun's influence.


For these reasons, I believe that empty space between stars is more than likely 
not empty at all and that many large objects are passing through the solar 
system every year as they wander about.  The probability of collisions is 
small, but not zero due to the enormous dimensions of space and one day we 
might observe a close encounter of the nasty kind.  I would not be surprised if 
it eventually is determined that hoards of these asteroids and comets have 
impacted us in the past and come in groups as each of the nearby star ejection 
events during their births reach our distance.  Since planetary systems 
stabilize in a few million years from what I have read, the ejections and 
resulting collisions should occur during relatively short historical time 
frames.  


It would be interesting to calculate how far one of these hoards reaches in a 
billion years and compare that to the distance between forming stars.  Perhaps 
someone needs a hobby? :-)


Dave


RE: [Vo]:[OT]Star Object Ejection Process

2014-01-03 Thread OrionWorks - Steven Vincent Johnson
Hi Dave,

 

I tend to concur with your suspicions that the effect is most likely real,
this based on my own computations of simple planetary orbits. I have used
both single precision and double precision in my simulations. Rounding off
errors appeared to be negligible. As far as my own personal observations
went I saw little if no difference between SP vs DP.

 

A science program like NOVA recently did a program on how NASA began to use
sophisticated gravity assist trajectories in order to shoot satellites out
in to further regions of the solar system. The point being, if you have a
lot of extra patience the trip can be performed with far less rocket fuel
than traditional means.

 

On a related matter, a couple of months ago you may recall I posted on Vort
a personal discovery I made concerning what I later learned is actually a
derivative of Kepler's 3rd law, that the square of the orbital period of a
planet is directly proportional to the cube of the semi-major axis of its
orbit.  I stumbled across a much more simplified observation of the 3rd law:
All orbits that share the same orbital period also share the same distance
in their major radius. I didn't know at the time whether this observation
had been made by others, so I posted my findings out on Vortex. See:

 

http://personalpen.orionworks.com/kepler4thlaw.htm

 

Someone eventually was kind enough to point me to a link that correlated my
personal observation with Kepler's 3rd law. Yes, the observation had already
been made. Alas, my hope for fame (and bragging rights) had been dashed.
Nevertheless, it was fun to discover the fact that some personal
observations I had made about planetary motion based on computer simulations
I had personal designed turned out to be confirmed as true. I still think
the observation should officially be described as Kepler's honorary 4th law
of planetary motion. ;-)

 

PS: The Kiplinger letter for this Friday made the comment that China's
recent successful rover landing on the moon will fuel some fears in congress
that NASA should get a little extra funding boost for planetary research. It
will be nothing near the glories of the space race of the sixties. But a
modest financial boost never the less. (I love watching the movie: The
Right Stuff.)

 

Regards,

Steven Vincent Johnson

svjart.OrionWorks.com

www.zazzle.com/orionworks

tech.groups.yahoo.com/group/newvortex/

 



Re: [Vo]:[OT]Star Object Ejection Process

2014-01-03 Thread David Roberson
Steven,


A few years back I also wrote a program that handled a central large star like 
object with another orbiting it.  I had a plan to eventually include a small 
number of other objects that were to interact gravitationally, but never found 
the time to complete the project.  I was curious about how different attraction 
laws effected the orbits of planets, and the answer was loud and clear; forget 
about anything except for the second order case!  I observed the elliptical 
orbits and that was about the end of that project.


I am happy to hear that you did something similar but much more extensive.  If 
you get a chance, take a look at that program that I was mentioning (Planets).  
One item that I find particularly interesting is that you can call up a flood 
of small planets to interact simultaneously.   The behavior that you witness is 
quite impressive and it makes the fact that our solar system is relatively 
stable seem fortunate.


I did notice that very few moons appear orbiting my planets.  My suspicion is 
that most of the moons seen today are a result of collisions between the main 
planet and smaller objects.  Apparently the blast kicks out a mass of material 
that then condenses into the many moons.  Each of these mirrors the original 
formation of the sun and its system.  I am confident that some of the early 
moons found themselves ejected by their brothers on occasion.


If you are curious, you can load Linux in parallel with your standard system 
that preserves your original operating system and data.  That is what I did to 
be able to use whichever one I desire.  Unfortunately, I went overboard and now 
have three Windows Vista systems and two Linux systems present on this one 
computer.  Hey, I had the 3 hard drives available! :-)


Dave



-Original Message-
From: OrionWorks - Steven Vincent Johnson orionwo...@charter.net
To: vortex-l vortex-l@eskimo.com
Sent: Fri, Jan 3, 2014 8:39 pm
Subject: RE: [Vo]:[OT]Star Object Ejection Process



Hi Dave,
 
I tend to concur with your suspicions that the effect is most likely real, this 
based on my own computations of simple planetary orbits. I have used both 
single precision and double precision in my simulations. Rounding off errors 
appeared to be negligible. As far as my own personal observations went I saw 
little if no difference between SP vs DP.
 
A science program like NOVA recently did a program on how NASA began to use 
sophisticated gravity assist trajectories in order to shoot satellites out in 
to further regions of the solar system. The point being, if you have a lot of 
extra patience the trip can be performed with far less rocket fuel than 
traditional means.
 
On a related matter, a couple of months ago you may recall I posted on Vort a 
personal discovery I made concerning what I later learned is actually a 
derivative of Kepler’s 3rd law, that the square of the orbital period of a 
planet is directly proportional to the cube of the semi-major axis of its 
orbit.  I stumbled across a much more simplified observation of the 3rd law: 
All orbits that share the same orbital period also share the same distance in 
their major radius. I didn’t know at the time whether this observation had been 
made by others, so I posted my findings out on Vortex. See:
 
http://personalpen.orionworks.com/kepler4thlaw.htm
 
Someone eventually was kind enough to point me to a link that correlated my 
personal observation with Kepler’s 3rd law. Yes, the observation had already 
been made. Alas, my hope for fame (and bragging rights) had been dashed. 
Nevertheless, it was fun to discover the fact that some personal observations I 
had made about planetary motion based on computer simulations I had personal 
designed turned out to be confirmed as true. I still think the observation 
should officially be described as Kepler’s honorary 4th law of planetary 
motion. ;-)
 
PS: The Kiplinger letter for this Friday made the comment that China’s recent 
successful rover landing on the moon will fuel some fears in congress that NASA 
should get a little extra funding boost for planetary research. It will be 
nothing near the glories of the space race of the sixties. But a modest 
financial boost never the less. (I love watching the movie: “The Right Stuff.”)
 
Regards,
Steven Vincent Johnson
svjart.OrionWorks.com
www.zazzle.com/orionworks
tech.groups.yahoo.com/group/newvortex/