Grisham's "Window"

 

(This "Window" in Physics is ROSÆ‘s basis in Physical Constants and Environmental Conditions)

 

 

 

1. The size of the planet earth, its gravity field, and its atmospheric extent.
1. Defines practical orbit altitudes for satellites vs. their angular velocity
2. Defines the optimum resonant orbit angular velocity for ROSÆ of 5 : 1 (an orbit-to-earth angular velocity ratio of 5-to-1), which is lowest resonant orbit, which avoids atmospheric interference, and:
3. The "n" = 5:1 orbit has the most stable tri-axial Potential Energy "Well", for the most stable “Natural Station Keeping”, for all of ROSÆ‘s satellites (per NASA's Goddard Space Flight Center “Resonant Orbit Study” circa 1967 - 68), and:
4. To lower costs and increase reliability it is necessary to use only odd integers for "n", since then one can "piggy back" the launcher (90% of the cost) and insert the two satellites 180⁰ apart, and so inject them precisely into the counter-rotating ROSÆ architecture. That is, n = 3, or 5, or 7, etc. is preferred. But n = 3 is too low since its sat- to - sat links will not clear the atmosphere, and n=7 is too high since it will not have the upper Van Allen belt as a magnetosphere shield from the sun's harmful flux. Then n=5 is clearly the best choice, and:
5. Only the ROSÆ architecture has all of its satellites in stable equilibrium with the earth’s tri-axial gravity field (per Dr. Carl Wagner's evaluation of all useful satellite architectures examined during this NASA sponsored study), and:
6. The tri-axial gravity field has an orthogonal structure which fits the existing Latitude and Longitude system (see 3a. below).

2. The earth’s molten core and the moon’s size and orbital inclination.
1. Creates the Earth – Moon Tri-axial gravity field, which in turn creates the Potential Energy "Wells" used by Resonant Orbits.
2. The Sun’s size and flux density vs. the earth’s magnetic field controls the magnetosphere’s altitude.
3. This creates the two Van Allen belts, in which ROSÆ in its 5:1 resonant orbit is in the saddle between these belts, safe from radiation damage inside a Van Allen Belt.

4. Also, at the altitude where ROSÆ is at its preferred 5 : 1 resonance, it is under the magnetosphere and so is a "shield" which protects ROSÆ from the sun’s harmful flux.

3. ROSÆ’s distribution of equilateral triads are necessary for real time phase closure of MIRIAH’s Interferometers.

1. This geometry fits the major existing East - West 90⁰ longitude distribution (prime meridians at 0⁰, 90⁰ East, 180⁰, 90⁰ West), as well as the major Latitude North and South 90⁰ distribution, which adds up to eight of these spherical equilateral triangles. But the disc is at the leading edge of the multi-access data storage technology (to be Internet compatible). Then to accommodate a disc's flat surface, ROSÆ - MIRIAH uses eight plane geometry triads as its mapping base (rather the eight spherical triangles). This then conforms to an octahedron (like this hyperlinked example) with it's eight plane equilateral triangle surfaces, as the conformal mapping base.
2. ROSÆ's tri-axial 90⁰ x 90⁰ x 90⁰ octagonal geometry perfectly fits the earth’s tri-axial and octagonally mapped gravity field.
3. Among all solids, the octahedron has the minimum number of equilateral triangle sides (or mapping "plates"), which also have no data discontinuity along either the map edges, or the interior (and so an octahedron is a conformal mapping base with data continuity throughout its entire area).
4. In this next hyperlinked figure, one can readily see this continuity, visibly showing this octahedron mapping base is conformal, with neither "poles" (causing "white spots"), or "nodes" (causing "black spots"), or mismatches along its edges (disrupting the mapping octahedron's plate-to-plate holographic continuity). Rather this mapped recording shows a smooth transition from spherical to flat surface (thanks to the methods we developed in our SARAH Patent).
5. Further, it is entirely comprised of equilateral triangles, as necessary for minimum phase lock acquisition time for MIRIAH's triads of Interferometers (in the methods of MIRIAH, our newest Patent). Here is an example of a basic phase closure method, which is enabled by these equilateral triads used by MIRIAH's VLA. Its huge VLA triads (Very Large Arrays), incrementally illuminate huge Continent sized FOVs (Fields of View) during an extended Coherence Time, which is why "Supply" keeps up with "Demand" for MIRIAH (as for no other EM imaging architecture).
6. Each equilateral triangular plate of the octahedron meets every adjacent plate with the same obtuse angle so that there are no imaging data discontinuities at either the edges or interiors of the raw imagery data plates (whereas this would not be the case for a cube or tetrahedron).
7. Since all 8 VLA triads are perpendicular to 8 different isometric axes, then every VLA's 3-D Interferometer signal envelope deposits 2-D imagery data, which is perfectly linear, and orthogonal, thereby assuring maximum accuracy for the data, as it is scaled from FOV to disc.

4. Resonant orbits are required in order to obtain an imaging refresh rate as needed to track trends and changes to the earth's surface and sub surface. Examples of this are man made changes in mining, agriculture, and construction. Other examples are changes in wartime bombing, etc. Still others are volcanic onset and eruption changes, earthquake, avalanches, forest fire and blow downs, etc. The optimum imaging architecture is one, which maximizes the imaging refresh rate with a consistent illumination aspect angle history, since this will separates landforms, which have not changed from look to look from those, which have changed. This is the underlying reason for the need for a symmetric architecture whose rotations are resonant with the earth's rotational rate, i.e., like ROSÆ - MIRIAH is when it employs resonant orbits. This symmetric and resonant architectural strategy enables algorithms, which will reduce the "new" recording data rate by more than 95%, without compromising data integrity.

At ROSÆ’s optimum resonance altitude, MIRIAH’s VLA size is consistent with a positive coherent Gain, via the RSI process (Rotational Synthesis Imaging), which is why only ROSÆ - MIRIAH's architecture is capable of a 2nd Power-Aperture (2nd PA) and its extraordinarily huge coherent Gain (~ 10¹⁶), and its sequential resonating overlay of imagery every 72 minutes for change detection (of "ground truth") - a critically needed "near real time" tactical intelligence attribute (vital to both commercial and military users). NASA acknowledges their most powerful Interferometer based VLA's lack both the the architecture and the baseline diversity needed to enable RSI, and also regret that inability since it is the most powerful imaging technology avialable (as this NASA report indicates).

5. The VLA:FOV ratio varies ~ 4:1 to 5:1, which enables practical optical focal lengths within the satellite's MF (Matched Filter) illumination system. These focal lengths are necessary for a positive coherent Gain as shown in Figure 6, which enables a 2nd PA.

6. This is totally unique for ROSÆ - MIRIAH, since ROSÆ lends the stability MIRIAH needs to slowly aggregated the MF, as it generates holograms of all pixels moving across the entire FOV, thereby enabling its breakthrough in coherent Gain (the secret to its amazing performance and cost effectiveness).