aerospace mathematics

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AeroSpace Mathematics For Deep Space Missions

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Page 1: Aerospace Mathematics

AeroSpaceMathematicsFor Deep Space Missions

Page 2: Aerospace Mathematics

 If I were again beginning my studies, I would follow the advice of Plato and start with Mathematics.Galileo Galilei

Page 3: Aerospace Mathematics

The Problem• Identifying the issue:

• Fact: The only experience that we have in long-term missions has been circling the Earth

• All our parameters relating to the human factor are based in that experience only.

Page 4: Aerospace Mathematics

……..

• Our experience is largely based on empirical data, and not on a solid formal structure

• Our experience is not even well-defined

• Our experience is also based in non-scientific related concepts such as nationalistic ideology or economic pressures

Page 5: Aerospace Mathematics

Consequence

• As a consequence of our problem, we have that our experience on human factor cannot be used as a guide for a deep space mission

• A new approach is needed

• Let us work it out:

Page 6: Aerospace Mathematics

The Assumption• For a deep space mission we need deep knowledge.

• We assume that the mission is linear and not circular:

• Circular Orbit (Earth) Linear Orbit (Deep space)

around the Earth to another planet

Page 7: Aerospace Mathematics

General Principle Land• In a galaxy far….far away….a long time ago….We humans domesticated the horse. Over time we got cars, but the human brain assimilated the action of “Land” transportation because humans have a property that is equivalent to the action: we can walk and run….just as a vehicle.

Vehicle (Land) Human Action: to walk

Page 8: Aerospace Mathematics

General Principle Water• We humans went to the ocean and conquered new

horizons. We built ships but the human brain assimilated the action of “Water” transportation because humans have a property that is equivalent to the action: we can float and swim….just as a ship.

Ship (Water) Human Action: to swim

Page 9: Aerospace Mathematics

General Principle Air• Notice that we do not even have a proper word for

the concept of flying, for air is only vaguely related. We were not made to fly. We do not have nor have had wings. Our brains do not compute flying. The human equivalent action is to fall (a non-survival action):

Airplane (Air) Human Action : To fall

Page 10: Aerospace Mathematics

Consequence• The human factor knowledge that we already

have related to flying is wrongly based on a non existing human action

• The proper human equivalence is TO FALL

• Therefore, our recluiting and analysis theories of the human factor for flying may not be that scientific after all

Page 11: Aerospace Mathematics

Basic Theorem• We can postulate a Basic Theorem for the human

factor problem on a deep space mission:

• The longer the mission, the more unpredictability on the behavior of the human factor

Unpredictability is related to time, but in a more complex manner which included the right action

Page 12: Aerospace Mathematics

The Solution• We created (as Mathematics is an Art) a Platform

(3-D bubble) called Aerospace Mathematics :

Page 13: Aerospace Mathematics

Its Properties• Aerospace Mathematics has many properties; it

computes the fall, so the proper cause-and-effect of the human factor could be calculated

• Aerospace Mathematics has its own AI capabilities; thus, allowing interesting extensions (plug-ins) with life support equipment as an example

Page 14: Aerospace Mathematics

…….• Aerospace Mathematics has the ability to

accurately define the three-fold elements of a deep space mission relating to the human factor:

1) Philosophical: Law, religion, psicology, human culture questions, etc.

2) Biological: Human body, life itself.

3) Technological: The spacecraft, the interface human-machine.

Page 15: Aerospace Mathematics

--------• Aerospace Mathematics is a very powerful

platform which includes:

• Its own language (for expressing)• Its own clock (for computations)• Its own AI (for interfaces)

It could generat its own real mission or a simulated mission.

Page 16: Aerospace Mathematics

How does it works• Aerospace Mathematics as a Platform is defined

with a device which serves as a nucleous call the AGSF (Advance Gravitational Space Frame)

• The AGSF operates as a clock (personalized time) which in turns alter space (personalized space).

AGSF

Space

Time

NUCLEOUS

Page 17: Aerospace Mathematics

………• The AGSF is well-defined and structured as a

space-time coordinate system. A coordinate system in which the coodinates are actually the mathematical proof of the object subject to coordination.

• The object of coordination is the action «to fall» which give the system a gravitational equivalence.

Time AGSF

Page 18: Aerospace Mathematics

………• The first computations are the basics physics

parameters such as force, temperature, mass, density,etc.

• The platform now has a physical reality equivalence. A radicalization of space-time. A browser is generated.

AGSF

Space

Time

Radicalization

Physcial Parameters

CLOCK

AerospaceBrowser

Plugins

Page 19: Aerospace Mathematics

………• The Plugins for different classical technologies as

oscilloscopes, computers, logical analyzers are possible.

• However an advantage of this platform is its natural capacity to incorporated newly emerging technologies such as 3-D printing, quantum computers, teleportation, etc. Not only incorporating them but enhancing them. Such as a 3-D printing into a duplicator.Aerospace

BrowserPlugins

Teleportation3-D PrintingComputers

Page 20: Aerospace Mathematics

………• However, the must important applications of the system

within mathematics are the well-defined capability of computing and executing quantified space-time geodesics into a continuum.

• The second mayor applicability of the system is the generation of a set of measurements into a subset. That is to say: global measurements which represent true values for they can be localized (personalized information).

• The information can be personalized within the 3 main areas: Philosophical,Biological o Technological.

Page 21: Aerospace Mathematics

The Nucleous• How does the nucleous acctually works?.

• First a set of sets of primitive concepts is define in such a way as to associated the primitive concepts with a physical meaning.

The concepts included are zero, number, infinity, infinitesimal, letters,words, sentence, etc. Then the concepts are associated with a physical meaning such as motion, no-motion, heat, force, etc.

• The association is archieved through an Abstract Machine.

Page 22: Aerospace Mathematics

…..• The information generated by the Abstract Machine is

feeded into the Material Machine (known as the AGSF).

• The AGSF computes the information into a 3-D array containing metric information.

• The space thus generated contains the information of the object, but without the object. You can have gravity without a mass, heat without a heat source, etc. A propulsion without a combustion (the principle of the EM devide which no-one seems to understand). The object becomes its measuments.

Page 23: Aerospace Mathematics

…..• The Phenomenon becomes de object.

• The inverse is different. Insert the 3-D measurements and you get a personalized space-time.

• If you feed the technological devices with this information and you get a highly personalized environment; personalized medicine, a personalized life support, etc.

• You can alter object with this platform.

Page 24: Aerospace Mathematics

…..Primitive Concepts

Physical MeaningAbstract Machine

AGSF 3-D MetricsA Clock for

Quantum Computer

Radical Space-timeObject without an

object

AerospaceBrowser

Time

Time inversePersonalized Space-time

Page 25: Aerospace Mathematics

……

Jose RaluyMechanical and Electrical Engineer

Earth Station One