Greetings all!
For your consideration -
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Less than 95 Theses.
A crucial step in the evolution of an idea from hypothesis to theory, is the
verification of a prediction based on the properties and the qualities of the
hypothesis.
I here make eight predictions concerning the outcome of three experiments yet
to be conducted in astronomical physics.
Notes: 1. An orbit is defined as the time taken by a satellite for one 360deg
revolution about its primary.
2. Except for Thesis 3, stellar parallax is ignored.
3. Numerical quantities lack nth degree precision but are adequate to
demonstrate the principle at issue.
1.1 Two satellites are launched from 0 deg lat and placed into low Earth
equatorial orbits. Each has a period of 3590s. One revolves in a forward
manner, that is from West to East, while the other revolves in a retrograde
manner that is from East to West. These two satellites will pass each other --
conjunction -- at intervals of 1795s that is 48 conjunctions per sidereal day.
A line passing through both conjunction points will pass through the centre of
gravity of the Earth and will intersect the sky at two fixed points. At the
instant of conjunction, the connecting line between the conjunction points will
intersect the equator at points 7.5 deg West of their immediately previous
points of intersection.
Of these two, the satellite in retrograde orbit will have required a
significantly greater amount of fuel to achieve orbit.
1.2 Two satellites are launched from 90 deg lat and placed into low Earth polar
orbits in a single plane. Each has a period of 5385s. One relvolves in one
direction the other in the opposite direction. These two satellites will pass
each other at intervals of 2692.5s that is 32 conjunctions per sidereal day and
timed such that they take place over the equator. A line passing through both
conjunction points will pass through the centre of gravity of the Earth and
will intersect the sky at two fixed points. At the instant of conjunction, the
connecting line between the conjunction points will intersect the equator at
points 11.25 deg West of their immediately previous points of intersection.
2.1 A rotating flywheel on Earth, its axis of rotation orthogonal to the
Earth's axis, in a frame pivotted orthogonal to its axis of rotation and on a
line through its centre of gravity (which line is parallel to the Earth's axis)
will exhibit clockwise apparrent rotation (when viewed from the North) at a
rate of approx 239s/deg. The extended axis of rotation will intersect the sky
at two fixed points.
2.2 A rotating flywheel on the Moon, its axis of rotation orthogonal to the
Moon's axis, in a frame pivotted orthogonal to its axis of rotation and on a
line through its centre of gravity (which line is parallel to the Moon's axis)
will exhibit clockwise apparrent rotation (when viewed from the North) at a
rate of approx 6557s/deg. The extended axis of rotation will intersect the sky
at two fixed points.
2.3 A rotating flywheel on Mars, its axis of rotation orthogonal to Mars' axis,
in a frame pivotted orthogonal to its axis of rotation and on a line through
its centre of gravity (which line is parallel to Mars' axis) will exhibit
clockwise apparrent rotation (when viewed from the North) at a rate of approx
246s/deg. The extended axis of rotation will intersect the sky at two fixed
points.
2.4 A rotating flywheel at Earth LaGrange Point 2, its axis of rotation
initially aligned on a line through the centre of the Earth and terminating in
the centre of the Sun, will exhibit clockwise apparrent rotation (when viewed
from the North) at a rate of approx 87660s/deg. The extended axis of rotation
will intersect the sky at two fixed points.
2.5 All the fixed pairs of points identified in the above propositions 1
through 6 will maintain within close limits, a mutually fixed relationship.
3.1 The stellar parallax of A. Centauri when measured from Earth, at points
defined as being separated by six months in time, has an accepted value of the
order of 0.7 mas. When measured from Mars, at points defined as being seperated
by 343.5 Earth days in time, this will be found to be of the order of 1.07mas.
3.2 It will NOT have a minimum parallax of 365 * 10^-6 mas and a maximum
parallax of 1.76 mas. NB The maximum and minimum baselines will need to be
computed carefully but will be about 3120 Earth days apart. They are situated
at two conjunctions four instances apart for the minimum baseline and two
oppositions four instances apart for the maximum baseline.
re:Thesis 1 -- see file "Satellites.jpg"
re:Thesis 2 -- see file "Flywheel.jpg"
re:Thesis 3.2 -- see file "GeoMarsParallax.jpg"
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Paul D
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